It seems like the question is asking about a system of equations with no restrictions on the variables b1, b2, and b3. However, the question is filled with typos and formatting errors that make it difficult to understand the exact problem and provide an accurate answer. It would be best to ask the student to clarify the question and provide a properly formatted version of the problem before attempting to answer.
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A soccer ball kicked off the ground has a height modeled by the function h= -t2 + 6t,
where t is the number of seconds since the ball was kicked and h is the height in meters.
What is the maximum height reached by the ball?
3 meters
6 meters
9 meters
27 meters
The maximum height reached by the baII is 9 meters.
What is a functiοn?In mathematics, a functiοn is a relatiοn between twο sets, typically called the dοmain and range, that assigns tο each element οf the dοmain a unique element οf the range. In οther wοrds, a functiοn is a rule οr a set οf rules that assοciates each input value with exactly οne οutput value.
Tο find the maximum height reached by the ball, we need to find the vertex of the parabolic functiοn [tex]h = -t^2 + 6t[/tex]. The vertex of a parabola in the form[tex]y = ax^2 + bx + c[/tex] is located at the point [tex](-b/2a, c - b^2/4a)[/tex].
In this case, the functiοn is[tex]h = -t^2 + 6t[/tex]t, which has a=-1, b=6, and c=0. Therefοre, the vertex οf the parabοla is located at:
t = -b/2a = -6/(-2) = 3
Tο find the maximum height, we substitute t = 3 into the functiοn:
[tex]h = -t^2 + 6t = -3^2 + 6(3) = 9 meters[/tex]
Therefοre, the maximum height reached by the baIl is 9 meters.
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Find the surface area of each figure. Round your answers to the nearest tenth, if necessary.
Answer:
5: 52 m
6: 600 inches
7: 352 yards
8: 43 cm
Step-by-step explanation:
5: 5x5=25. 4x3/2=6. 5x3=15. 4x3/2=6
25+6+15+6=52
6: It is a cube that has 10 length sides. Each side's area is 10x10=100
There are 6 sides, so 6x100=600
7: Top and bottom: 8x8=64 (There are 2, one is top, one is bottom)
Sides (4 of them): 7x8=56
2(64)+4(56)=
128+224=
352
8: 4x3=12. 5x3/2=7.5. 5x3/2=7.5. 4x4=16.
12+7.5+7.5+16=
43 cm
Pls mark me brainliest if it helps :), have a very nice day/night!
Answer:
1. 254
2.100.8
Step-by-step explanation:
What is the change in the water level per hour for Andreas swimming pool. LOOK AT IMAGE!
The rate of change is 961.37 gallons/hour. This means that the water level decreases by 961.37 gallons every hour.
What is meant by rate?In mathematics, comparing two related quantities stated in different units is known as a rate. A rate is the ratio of two distinct values that are gauged in various ways. It is not the same as a unit rate to compare a certain number of units of the first quantity to one unit of the second. In general, the rate can be expressed as the ratio of two quantities with distinct units. With the help of rate, we can create a connection between two otherwise unconnected components. By doing this, we can gain a deeper understanding of a scenario.
Given,
The total amount of water the pool can hold = 9613.7 gallons
The time taken to drain the pool completely = 10 hours
We are asked to find the change in water level per hour of the pool.
This can be called the rate of change.
Rate of change = Total amount of water/ Time taken to drain
= 9613.7 / 10 = 961.37 gallons / hour
Therefore the rate of change is 961.37 gallons/hour. This means that the water level decreases by 961.37 gallons every hour.
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What is an expression that shows the associative property has been applied to (6+8)+4
An expression that shows the associative property has been applied to (6+8)+4 is 6+(8+4).
The associative property is a mathematical rule that states that the way numbers are grouped within an expression does not affect the final result. In other words, you can add or multiply numbers in any order, and the result will be the same.
This property is represented as (a+b)+c=a+(b+c) or (a*b)*c=a*(b*c).
In the given expression, (6+8)+4, the associative property can be applied by changing the grouping of the numbers. This can be done by moving the parentheses from the first two numbers to the last two numbers. The new expression would be 6+(8+4).
Therefore, an expression that shows the associative property has been applied to (6+8)+4 is 6+(8+4).
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The lengths of the bases are 62 inches and 6 feet. The perpendicular distance between the bases of a trapezoid is 5 feet. What is the area of a trapezoid in square inches?
The area of the trapezoid is 335 square inches.
What is Trapezoid ?
A trapezoid is a quadrilateral with at least one pair of parallel sides. The parallel sides are called the bases of the trapezoid, and the non-parallel sides are called the legs. The distance between the bases is called the height or altitude of the trapezoid.
First, we need to convert the lengths of the bases and the perpendicular distance to the same units. Let's convert 6 feet to inches:
6 feet = 6 x 12 inches = 72 inches
Now we can calculate the area of the trapezoid using the formula:
Area = (a + b) * h / 2
where a and b are the lengths of the bases and h is the perpendicular distance between them.
Substituting the given values, we get:
Area = (62 + 72) * 5 / 2
Area = 134 * 5 / 2
Area = 670 / 2
Area = 335 square inches
Therefore, the area of the trapezoid is 335 square inches.
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Regular hexagons have been used to tile floors. Can a floor be tiled using only regular pentagons? Why or why not?
Select the correct answer below.
A floor can or cannot be tiled using only regular pentagons. For a regular hexagon, the measure of each vertex angle is ___nothing°, which means that 2,3,4,5 or 6 regular hexagons fit to form ____°, and the plane can be filled. For a regular pentagon, the measure of each vertex angle is ____°, so regular pentagons can or cannot be placed together to fill the plane because the measure of the plane, nothing____°,is or is not divisible by the measure of each vertex angle.
(Type integers or decimals.)
A floor cannot be tiled using only regular pentagons.
A floor cannot be tiled using only regular pentagons. For a regular hexagon, the measure of each vertex angle is 120°, which means that 3 regular hexagons fit to form 360°, and the plane can be filled. However, for a regular pentagon, the measure of each vertex angle is 108°, so regular pentagons cannot be placed together to fill the plane because the measure of the plane, 360°, is not divisible by the measure of each vertex angle. Therefore, a floor cannot be tiled using only regular pentagons.
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Which table(s) represent(s) a function? A. Table 1 only B. Table 2 only C. Tables 1 and 3 only D. Tables 1, 3, and 4 only
The correct answer is option C. Only Table 1 and Table 3 represent a function.
Each input value should be paired with only one output value, as stated in the definition of a function. Therefore, we must verify that each input value is paired with only one output value in order to determine which tables represent a function.
For each input value, Table 1 contains unique output values and unique input values. As a result, a function is represented by Table 1.
For the same input value (input 1), there are two distinct output values in Table 2. As a result, there is no function represented in Table 2.
For each input value, Table 3 contains unique output values and unique input values. As a result, a function is represented by Table 3.
For the same input value (input -2) in Table 4, there are two distinct output values. Subsequently, Table 4 doesn't address a capability.
Consequently, c is the correct response because Tables 1 and 3 only depict functions.
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Complete Question:
Which table(s) represent(s) a function? A. Table 1 only B. Table 2 only C. Tables 1 and 3 only D. Tables 1, 3, and 4 only
What is the quotient of (−168) ÷ (−14) ÷ (−3)?
please help
Answer:
= -4
Step-by-step explanation:
To solve this expression, we need to perform the division in the correct order, following the rules of mathematical operations. We can simplify the expression as follows:
(-168) ÷ (-14) ÷ (-3) = (-168) ÷ [(-14) x (-3)] [dividing by a negative number is the same as multiplying by its reciprocal]
= (-168) ÷ 42
= -4
Therefore, the quotient of (-168) ÷ (-14) ÷ (-3) is -4.
(b^((3)/(2))*a^(4))^(-(1)/(4)) Vrite your answer without us ssume that all variables are
The answer is b^((-3)/(8))*a^(-1)
The expression (b^((3)/(2))*a^(4))^(-(1)/(4)) can be simplified by using the properties of exponents. First, we can distribute the exponent -(1/4) to each of the terms inside the parenthesis:
b^((3)/(2))^(-(1)/(4))*a^(4)^(-(1)/(4))
Next, we can simplify the exponents by multiplying them:
b^((-3)/(8))*a^((-4)/(4))
Finally, we can simplify the exponents further:
b^((-3)/(8))*a^(-1)
So, the final answer is b^((-3)/(8))*a^(-1). This is the simplified form of the expression without any assumptions about the values of the variables.
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Solve for w. -(7)/((w+1)(w-7))=4+(3)/(w-7) If there is more than one solution, separate the
The two possible solutions for w are 6 and -3/4.
To solve for w, we need to use algebraic manipulation to isolate w on one side of the equation. Here are the steps:
1. Multiply both sides of the equation by (w+1)(w-7) to clear the fractions: -(7) = 4(w+1)(w-7) + 3(w+1)
2. Distribute the 4 and 3 on the right side of the equation: -(7) = 4w^2 - 24w - 28 + 3w + 3
3. Combine like terms on the right side of the equation: -(7) = 4w^2 - 21w - 25
4. Move all terms to one side of the equation: 4w^2 - 21w - 18 = 0
5. Use the quadratic formula to solve for w: w = (-(-21) ± √((-21)^2 - 4(4)(-18)))/(2(4))
6. Simplify the equation: w = (21 ± √(441 + 288))/(8)
7. Simplify the equation further: w = (21 ± √729)/(8)
8. Solve for the two possible values of w: w = (21 + 27)/(8) or w = (21 - 27)/(8)
9. Simplify the two possible values of w: w = 48/8 or w = -6/8
10. Simplify the two possible values of w further: w = 6 or w = -3/4
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Given :. f(X)=2/x²+1
Determine f(x-¹)-x²f(-1)
The given function evaluates to [tex]\frac{x^2(1-x)}{x^2 + 1}[/tex].
What is a Function?A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences. The German mathematician Peter Dirichlet initially offered the contemporary definition of function in 1837: A variable y is said to be a function of the independent variable x if there is a relationship between them such that whenever a numerical value is assigned to x, there is a rule that determines a specific value of y.
As per the given data:
The function is [tex]f(x) = \frac{2}{x^2 + 1}[/tex]
To determine the function: [tex]f(\frac{1}{x}) - x^2f(-1)[/tex]
Substituting (1/x) and (-1) respectively:
[tex]= \frac{2}{\frac{1}{x}^2 + 1} - x^2\frac{2}{(-1)^2 + 1}[/tex]
[tex]= \frac{2x^2}{x^2 + 1} - x^2\frac{2}{2}[/tex]
[tex]= \frac{2x^2}{x^2 + 1} - x^2[/tex]
Taking the LCM:
[tex]= \frac{2x^2 - x^3 - x^2}{x^2 + 1}[/tex]
[tex]= \frac{x^2 - x^3}{x^2 + 1}\\= \frac{x^2(1-x)}{x^2 + 1}[/tex]
Hence, the given function evaluates to [tex]\frac{x^2(1-x)}{x^2 + 1}[/tex]
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Sam went to play video games in Video Game Central arcade. Video Game Central charges $10 to get into the arcade and then $1 per game played
The mentioned relationship is an additive relationship as the total cost is not proportional to the number of games played.
To represent the relationship between the total cost, y, and the number of games played, x, we can create a table, graph, and equation as follows:
Number of games played (x) Total cost (y)
0 10
1 11
2 12
3 13
4 14
5 15
The equation that represents this relationship is: y = 1x + 10
Where 10 is the fixed cost to enter the arcade and 1 is the cost per game played.
To represent this relationship graphically, we can plot the points from the table on a graph. Refer to the image attached with this answer.
This graph shows that the relationship between the total cost and the number of games played is a straight line with a positive slope.
This relationship is an additive relationship because the total cost is not proportional to the number of games played. If the relationship was proportional, the cost per game played would remain constant regardless of the number of games played. In this case, the cost per game played is always $1, but the total cost increases by $1 for each additional game played.
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The complete question is :
Sam went to play video games in Video Game Central arcade. Video Game Central charges $10 to get into the arcade and then $1 per game played. Represent the relationship between total cost, y, and number of games played, x using a table, graph and equation. Is this relationship a proportional or additive relationship? Explain.
The rectangle below has an area of y^2+8xy+7x^2 square meters and a length of y+xy+xy, plus, x meters.
The rectangle has a length of y + 2xy + x meters and a width of (y + 7x) / (2y + x) meters.
What is a formula of area of rectangle?
Formula for rectangle's area
When calculating a rectangle's area, we multiply the length by the width of the rectangle.
The area of a rectangle is given by the formula:
A = L × W
where A is the area, L is the length, and W is the width.
In this case, we are given that the area is:
[tex]A = y^2 + 8xy + 7x^2[/tex]
and the length is:
L = y + xy + xy + x = y + 2xy + x
To find the width, we can rearrange the formula for the area:
W = A/L
Substituting the given values, we get:
[tex]W = (y^2 + 8xy + 7x^2)/(y + 2xy + x)[/tex]
Now, we can simplify this expression by factoring the numerator:
W = [(y + 7x)(y + x)] / [(y + x)(2y + x)]
Canceling out the common factor of (y + x), we get:
W = (y + 7x) / (2y + x)
Therefore, the width of the rectangle is:
W = (y + 7x) / (2y + x)
So the rectangle has a length of y + 2xy + x meters and a width of (y + 7x) / (2y + x) meters.
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Determinants: Let A∈R n×n be an invertible matrix, and letdet(⋅)denote the determinant of its argument. Show thatdet(A−1)=det(A)1
The determinant of the inverse of an invertible matrix is the reciprocal of the determinant of the original matrix.
Determinants: The determinant of an invertible matrix A is a scalar value that is used to indicate the invertibility of the matrix. If the determinant of A is non-zero, then the matrix is invertible. The determinant of the inverse of an invertible matrix is the reciprocal of the determinant of the original matrix. In other words, det(A−1)=det(A)1.
To prove this, we can use the property of determinants that det(AB)=det(A)det(B) for any two square matrices A and B. Since A is an invertible matrix, we know that AA−1=I, where I is the identity matrix. Taking the determinant of both sides of this equation gives us:
det(AA−1)=det(I)
Using the property of determinants mentioned above, we can rewrite the left-hand side of the equation as:
det(A)det(A−1)=det(I)
Since the determinant of the identity matrix is 1, we can simplify the equation to:
det(A)det(A−1)=1
Dividing both sides of the equation by det(A) gives us:
det(A−1)=det(A)1
Therefore, the determinant of the inverse of an invertible matrix is the reciprocal of the determinant of the original matrix.
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PLEASE PLEASE HELP ME!!
(fog)(-9) value is -9 when f(x)=2x²-4x-15 and g(x)=x+12
What is a function?A relation is a function if it has only One y-value for each x-value.
The given functions are f(x)=2x²-4x-15 and g(x)=x+12
We need to find fog(-9)
Before that let us find fog(x)
f(g(x))=2(x+12)²-4(x+12)-15
f(g(-9))=2(-9+12)²-4(-9+12)-15
=2(3)²-4(3)-15
=18-12-15
=-9
Hence, (fog)(-9) value is -9 when f(x)=2x²-4x-15 and g(x)=x+12
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does the table represent a proportional relationship between x and y?
x y
4 3
8 7
12 11
16 15
20 19
Answer:
Yes
Step-by-step explanation:
They both are added by 4
how to Find the object's acceleration when it changes direction.
Calculate acceleration using this equation: acceleration = delta v / time. expressions To solve for acceleration, enter the values you calculated for delta v and the amount of time it took the object to change directions.
what is expression ?Multiplying, dividing, adding, and subtracting are all mathematical operations. As an example, consider the following expression: Expression, mathematics, and a numeric value Numbers, parameters, and functions are the components of an expression in mathematics. Using opposing words and phrases is possible. An expression, sometimes referred to as an algebraic expression, is any mathematical statement that includes variables, numbers, and a mathematical action between them. For instance, the expression 4m + 5 is made up of the expressions 4m and 5, as well as the variable m from the previous equation, all of which are separated by the mathematical symbol +.
An object's acceleration adjusts together with its direction. You may use the next several stages to get the object's acceleration at this point:
Calculate the object's initial and ultimate velocities before and after a direction change.
Subtract the end velocity from the beginning velocity to determine the change in velocity (delta v). This will reveal how much the velocity has changed.
Establish the time difference. This is the amount of time it takes for the velocity to switch from one direction to the other.
Calculate acceleration using this equation: acceleration = delta v / time. To solve for acceleration, enter the values you calculated for delta v and the amount of time it took the object to change directions.
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There are 9.10^6 citizens in a country. Each citizen, independently from others, decides whether to take a vaccine against a certain virus or not. If a person gets a shot, which happens with probability 1/5, she will not become ill and will not require treatment. If a person does not get vac- cinated, she will fall ill and the state will have to cover the expenses of treating the virus-inflicted illness. This cost, for a single non-vaccinated individual, is a random variable from a uniform distribution over the interval [0, 2000) dollars and does not depend on the decisions or costs of other individuals. (a) Using the de Moivre-Laplace theorem, approximate the probabi- lity that less than 1801800 citizens will get vaccinated. (5 pts) (b) Using the CLT, approximate the probability that the total aggre- gate cost of fighting the virus-inflicted illness for all citizens of the country will surpass 7207200000 dollars. Hint: for any citizen of the country, the treatment cost for this individual may be expres- sed as X · Y, where X, Y are independent random variables such that Y ~ U [0, 2000) and P(X = 0) = 1/5 = 1- P(X = 1). (5 pts) 9
The approximate probability that the total aggregate cost of fighting
The approximate probability that less than 1801800 citizens will get vaccinated can be calculated using the de Moivre-Laplace theorem. This theorem states that the probability distribution of the sum of a large number of independent random variables approaches the normal distribution as the number of variables increases. In this case, the random variable is whether or not a citizen gets vaccinated, and the sum is the total number of citizens who get vaccinated.
To calculate the approximate probability, we need to find the mean and standard deviation of the distribution. The mean is equal to the number of citizens times the probability of getting vaccinated, which is 9.10^6 * (1/5) = 1820000. The standard deviation is equal to the square root of the number of citizens times the probability of getting vaccinated times the probability of not getting vaccinated, which is sqrt(9.10^6 * (1/5) * (4/5)) = 1200.
Using the de Moivre-Laplace theorem, we can approximate the probability that less than 1801800 citizens will get vaccinated as the probability that a normal random variable with mean 1820000 and standard deviation 1200 is less than 1801800. This can be calculated using the standard normal distribution:
P(Z < (1801800 - 1820000)/1200) = P(Z < -1.52) = 0.064
Therefore, the approximate probability that less than 1801800 citizens will get vaccinated is 0.064.
The approximate probability that the total aggregate cost of fighting the virus-inflicted illness for all citizens of the country will surpass 7207200000 dollars can be calculated using the Central Limit Theorem (CLT). The CLT states that the sum of a large number of independent random variables approaches the normal distribution as the number of variables increases. In this case, the random variable is the cost of treating a single non-vaccinated individual, and the sum is the total cost of treating all non-vaccinated individuals.
To calculate the approximate probability, we need to find the mean and standard deviation of the distribution. The mean is equal to the number of citizens times the probability of not getting vaccinated times the expected value of the cost of treating a single non-vaccinated individual, which is 9.10^6 * (4/5) * (2000/2) = 7207200000. The standard deviation is equal to the square root of the number of citizens times the probability of not getting vaccinated times the variance of the cost of treating a single non-vaccinated individual, which is sqrt(9.10^6 * (4/5) * (2000^2/12)) = 1633333.33.
Using the CLT, we can approximate the probability that the total aggregate cost of fighting the virus-inflicted illness for all citizens of the country will surpass 7207200000 dollars as the probability that a normal random variable with mean 7207200000 and standard deviation 1633333.33 is greater than 7207200000. This can be calculated using the standard normal distribution:
P(Z > (7207200000 - 7207200000)/1633333.33) = P(Z > 0) = 0.5
Therefore, the approximate probability that the total aggregate cost of fighting the virus-inflicted illness for all citizens of the country will surpass 7207200000 dollars is 0.5.
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HELP PLEASE!!!!!!!!!!!!!!!!!!!!!
The simplified fraction is given as follows:
(2x - a)/(2x + a).
How to simplify the fraction?At the numerator, the fraction is simplified applying the least common factor as follows:
2 - (a/x) = (2x - a)/x.
At the denominator, the fraction is also simplified applying the common factor as follows:
2 + (a/x) = (2x + a)/x.
x is a common denominator to both of the fractions, hence it can be simplified, and then the simplified fraction is given as follows:
(2x - a)/(2x + a).
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The diagram shows a triangle.
36°
31°
W-24°
What is the value of w?
Really will appreciate it
Answer:
w=137°
Step-by-step explanation:
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Toby, el perro de Julia, tuvo 5 cachorros. Cada cachorro come 0. 13 libras de alimento para perros todos los días. ¿Cuánto alimento para perros comen los cachorros en 1 día?
The amount of dog food consumed by five puppies every day as per given condition is equal to 0.65 pounds of food.
Total number of Julia dog Toby puppies = 5
Dog food eats by each pup = 0.13 pounds every day
Total dog food consume by puppies in one day
= ( total number of puppies ) × ( Dog food eats by each pup every day )
Substitute the value to get the total consumed food,
⇒ Total dog food consume by puppies in one day
= ( 5 ) × ( 0.13 ) pounds of dog food
⇒ Total dog food consume by puppies in one day
= ( 0.65 ) pounds of dog food
Therefore, every day total dog food eat by puppies is equal to 0.65 pounds of food.
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Calculate the following equation: Eight vehicles set out to drive to a destination that is 50 mile away. Only seven vehicles complete the trip and the eighth vehicle only completed 50% of th joumey. What are the total miles that all eight vehicles drove? A. 375 B. 225 C. 900 D. 450
The total miles that all eight vehicles drove is 375 miles, and the correct answer is A. 375.
To calculate the total miles that all eight vehicles drove, we need to add up the miles driven by the seven vehicles that completed the trip and the miles driven by the eighth vehicle that only completed 50% of the journey.
The seven vehicles that completed the trip each drove 50 miles, so their total mileage is 7 x 50 = 350 miles.
The eighth vehicle only completed 50% of the journey, so it drove 50 x 0.50 = 25 miles.
To find the total miles driven by all eight vehicles, we add the miles driven by the seven vehicles and the miles driven by the eighth vehicle:
350 + 25 = 375 miles
Therefore, the total miles that all eight vehicles drove is 375 miles, and the correct answer is A. 375.
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Maximize p = 10x + 20y + 15z subject to
x+2y+z ≤ 20
2y-z ≥ 5
2x-y+z ≥ 10
x 0, y 0, z ≥ 0
p = ___
(x,y,y) = ( _____ )
Maximize using simplex method, show work/calculations and matricies
The maximum value of p is 280 and the optimal solution is (x,y,z) = (14, 5, 2).
To maximize p = 10x + 20y + 15z subject to the given constraints, we will use the simplex method. The simplex method is a mathematical technique used to solve linear optimization problems.
Convert the inequalities to equations by adding slack variables. This will give us the following system of equations:
x + 2y + z + s1 = 20
-2y + z - s2 = -5
2x - y + z + s3 = 10
Write the equations in matrix form. The matrix will have the coefficients of the variables on the left-hand side and the constants on the right-hand side.
| 1 2 1 1 0 0 | 20 |
| 0 -2 1 0 -1 0 | -5 |
| 2 -1 1 0 0 1 | 10 |
Convert the matrix to reduced row echelon form using elementary row operations. This will give us the following matrix:
| 1 0 0 1/5 2/5 0 | 14 |
| 0 1 0 1/10 -1/10 0 | 5 |
| 0 0 1 -1/10 3/10 1 | 2 |
From the reduced row echelon form, we can see that the optimal solution is (x,y,z) = (14, 5, 2) and the maximum value of p is 10(14) + 20(5) + 15(2) = 280.
Therefore, the maximum value of p is 280 and the optimal solution is (x,y,z) = (14, 5, 2).
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Which inequality is true when the value of x is -3?
-x+6.5 < 1
-x+6.5 < -1
x + 6.5 < -1
-x+6.5 > 1
Answer:
-x + 6.5 > 1 Is true.
Step-by-step explanation:
The explaination is given in the Picture.
If you sell 3 lobster ravialis and 5 steak salad about how much will you earn in commission (round to the nearest hundreath
Answer:
Step-by-step explanation:
based on the median of the samples, what is a reasonable estimate of the number of students that bike to school? Round to the nearest whole number based on the median of the samples, what is a reasonable estimate of the number of students that bike to school? Round to the nearest whole number based on the median of the samples, what is a reasonable estimate of the number of students that bike to school? Round to the nearest whole number
Mr Johns is buying a new phone. He wants to pay for the phone in 12 equal monthly payments. Work out how much Mr Johns will pay each month.
Gr8 Phones
Normal price £780
Sale price 5% off
Answer:
56.14
Step-by-step explanation:
673.36/12
write the word form of decimal 0.609.
Answer: six hundred nine thousandths
Step-by-step explanation:
DETAILS PREVIOUS ANSWERS LARCOLALG 10 2.1.047. Find the slope -intercept form of the equation of the line that has the given slope m and passes through the given point. m=-(1)/(6),(8,0)
The slope-intercept form of the equation of the line that has a slope of -1/6 and passes through the point (8,0) is y = -1/6x + 4/3.
To find the slope-intercept form of the equation of the line that has the given slope m and passes through the given point, we can use the point-slope form of a linear equation and then rearrange it to the slope-intercept form.
The point-slope form of a linear equation is given by:
y - y₁ = m(x - x₁)
Where m is the slope and (x₁, y₁) is the point that the line passes through.
In this case, m = -1/6 and the point is (8, 0).
Plugging these values into the point-slope form, we get:
y - 0 = -1/6(x - 8)
Simplifying and rearranging to the slope-intercept form, we get:
y = -1/6x + 8/6
y = -1/6x + 4/3
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Lester paid $31.00 for 5 pens and 4 books altogether . A book cost $1.00 more than a pen .Stephan bought 6 pens and 3 books at the same price . How much will Stephan pay
(-10,-15) is the image of N after the dilation with a scale factor of 5/4 centered at the orgin. What are the coordinates of N
The coordinates of N can be estimated as: (-8, -12)
What is the scale factor ?Scale factor is a mathematical term, which we use to scale 2-dimensional and 3-dimensional shapes. Scale factor is a measure of similar figures. Those figures who look the same but are in different sizes.
If point N is dilated with a scale factor of 5/4 centered at the origin, the coordinates of the image point, let's call it N', can be found by multiplying the coordinates of N by the scale factor:
N' = (5/4)N
We also know that the image point N' is located at (-10, -15), so we can substitute these values into the equation:
(-10, -15) = (5/4)N
Solving for N, we can multiply both sides by the reciprocal of 5/4, which is 4/5:
N = (4/5)(-10, -15)
N = (-8, -12)
Therefore, the coordinates of point N are (-8, -12).
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