Answers
The equation of the linear function in the slope intercept form is expressed as
y = mx + c
where
m is the slope
c is the y intercept
The formula for calculating slope is expressed as
m = (y2 - y1)/(x2 - x1)
From the table,
when x1 = - 2, y1 = 0
when x2 = - 1, y2 = 3
m = (3 - 0)/(- 1 - - 2) = 3/(- 1 + 2) = 3/1
m = 3
Slope = 3
The y intercept is the value of y when x = 0. Thus,
y intercept = 6
By substituting m = 3 and c = 6 into the slope intercept equation, the equation for the function is
y = 3x + 6
Related Questions
this is very hard for me
Answers
Answer:sorry Im lazy XD but try method down below
Step-by-step explanation:
Try this.
The order or operations which is
1 Parentheses
2 Exponents
3 Multiplication
4 Division
5 Addition
6 Subtraction
Should help find answer. Good luck!
Answer:-39
step- by-step:Subtract the terms12−(1+2(−(−5))2)
Multiplying or dividing an even number of negative terms equals a positive12−(1+2×52)
SimplifyMore Steps 12−(1+50)
Add the numbers12−51
Solution is −39
2. What is the solution point for the system below?
Answers
Answer
The point of intersection is the solution point for the system equation
The point of intersection is the solution
The final answer
x = 4
y= -3
[tex](x,y)=(4,-3)[/tex]Kevin and Randy Muise have a jar containing 53 coins, all of which are either quarters or nickels. The total value of the coins in the jar is $5.65. How many of each type
of coin do they have?
The jar contains
The jar contains
quarters.
nickels.
Answers
The number of quarters and nickles, Kevin and Randy Muise have a jar containing 53 coins, is 15 quarters and 38 nickles.
What is described as the linear equation in two variables?A linear equation in 2 factors is one that is written in the form ax + by + c=0, where a, b, and c are real numbers as well as the coefficients of x and y, i.e. a and b, are not equal to zero.Let 'x' be the number of quarters.
Let 'y' be the number of nickels.
The total number of coins in a jar are 53.
x + y = 53
x = 53 - y .....eq 1
The total value of the coin is $5.65.
1 doller = 0.25 quarters.
1 doller = 0.05 nickle.
Thus,
0.25x + .05y = 5.65
Multiply both sides by 100 to remove the decimal points.
25x + 5y = 565
Put the value of x from eq 1.
25(53 - y) + 5y = 565
1325 - 25y + 5y = 565
-20y = -760
y = 38
x = 53 - y = 53 - 38
x = 15 quarters
Thus, the number of quarters and nickles Kevin and Randy Muise have a jar containing 53 coins, is 15 quarters and 38 nickles.
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Help me out please, been struggling and I would appreciate some help.
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By using the given diagram, we can see that the ordered pair that represents point B is (-4, 0)
Which ordered pair represents B?Any point on a coordinate plane has a ordered pair associated to it, that tells us the location of the point (x, y).
For example, the intersection between the two axes is the point (0, 0).
The first value, x, represents the horizontal displacement, the second variable, y, represents the vertical displacement.
Here we can see that B is 4 units to the left of the center, then the ordered pair that represents point B is (-4, 0)
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MATH please solve it now and let it be correct please i am dropping 30 points so please help me
Answers
The matrix X is [tex]X = A^{-1} B[/tex]
What are invertible matrix?
A square matrix is invertible if and only if the determinant is not equal to zero. A n × n matrix is only invertible if the determinant of the matrix is not zero and has inverse. If the determinant is zero, then the matrix is not invertible and has no inverse.
Given that the two matrix A, B are invertible, therefore the inverse of the matrix exists.
Now given that,
AX = B …(1)
Multiplying [tex]A^{-1}[/tex] on both the side of the equation (1), we get
[tex]A^{-1} A X = A^{-1} B[/tex]
We know that [tex]AA^{-1} = 1[/tex]
⇒ [tex]X = A^{-1} B[/tex]
Therefore, the matrix will be [tex]X = A^{-1} B[/tex]
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the table below shows the number of computers or laptops owned by ten different families on the back of this paper create a line plot displaying the data 3 ,2,4,1,5,3,1,2,3,3
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Families and computers
Graph a line plot
what is the general formula for quadratic equation
Answers
Answer:
ax^2 + bx + c = 0
Step-by-step explanation:
a, b, are the coefficients, c is the constant term, and x is the variable
Hope that helps
What is the slope of this line?
6
10
Answers
Answer: 0.6
Step-by-step explanation:
m = 6/10
m = 0.6
Anyone know the answer
Answers
P(x) = (x4+2x3-7x2+4x) = 0.1 or an expression of more than two algebraic terms, particularly the sum of numerous phrases that contain different powers of the same variable, p(x)=0.1 x4 + 0.2 x3 - 0.7x2 + 0.4x (s).
What is polynomials?Zero polynomial function, linear polynomial function, quadratic polynomial function, and cubic polynomial function are the four most prevalent types of polynomials used in precalculus and algebra.
For instance, the polynomial 2x+5 has an exponent of 1.
The following are a few illustrations of each kind of polynomial function:
continuous operation. Example: The linear polynomial function y = 1. For instance, the quadratic polynomial function 5y + 10 Consider the Cubic Polynomial Function 14x2 + 2x – 6. Example: Quartic polynomial function 4y3 + 5y2 + 2. Eg: 3y4 + 5
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What will the new demensions of the rectangle below be after a dilation within scale factor of 9\4
Answers
Answer
The new dimensions of the rectangle after dilation by scale factor of (9/4) include
New length = 72 feet
New width = 18 feet
Explanation
The relationship between new length, original length and scale factor of dilation is given as
New length = (Original length) × (Scale factor)
For this question,
Scale factor = (9/4)
Original length = 32 feet
New length = (Original length) × (Scale factor)
New length = 32 × (9/4) = 72 feet
New width = (Original width) × (Scale factor)
Original width = 8 feet
Scale factor = (9/4)
New width = (Original width) × (Scale factor)
New width = 8 × (9/4) = 18 feet
Hope this Helps!!!
this box is packed with cubes that measure one cubic footenter the volume of the box in cubic feer
Answers
The box has the shape of a cuboid.
The volume of the box is given by the formula:
[tex]\text{ volume = length}\times\text{ width}\times\text{ height}[/tex]We now find the number of cubes that make up the length, width, and height
[tex]\begin{gathered} \text{length = 6 ft.} \\ \text{width = }3\text{ ft.} \\ \text{height = 4 ft.} \end{gathered}[/tex]Hence, the volume of the box can be calculated by:
[tex]\begin{gathered} \text{ volume = 6 ft. x 3 ft. }\times\text{ 4ft.} \\ \text{ volume = 72 ft}^3 \end{gathered}[/tex]Therefore, the volume is 72 ft³
Which number line shows the inequality n < -1? {++ -5-4-3-2 -1 0 1 2345 {++++++ -5-4-5-2-10 1 2 395 {+++++ -5-4-5-2 -1 0 1 2 3 日 5 +++++++++ -5-4-3-2 -1 0 1254 5
Answers
Given:
[tex]n\leq-1[/tex]Since n is greater or equal to -1, we are to use a closed dot.
To draw the number line, make a closed circle at point -1, and move the red line left (because n is less than or equal to -1).
Therefore the number line that shows the inequality is the third number line.
The diagram is below
What is the explicit formula for this sequence?
-9, -3, 3, 9, 15,
A. an= (-9) + (n − 1)(-6)
B. an=6+ (n − 1)(-9)
C. an=21+ (n-1)6
D. an= (-9) + (n-1)6
Answers
The explicit formula for this sequence exists as = (-9) + (n-1)6
Explain about the explicit formula ?We can use an explicit formula, as previously discussed, to determine the nth term in a series. The simplest meaning of explicit is precise or unambiguous. The reason the formula is explicit is that, if properly used, it can be used to find the nth term.
An arithmetic sequence can be expressed explicitly as a = a + (n - 1)d, and each term of the sequence can be computed without knowledge of the other parts. The nth term of an arithmetic, geometric, or harmonic series is usually the explicit formula.
Given: -9, -3, 3, 9, 15.
Because it is an arithmetic series, the supplied sequence.
Therefore, there is no difference between two consecutive terms.
For example, 3-(-3)=6 and (-3)-(-9)=6.
The nth term is now equal to a+(n-1)d.
as, a=-9
So, = -9+(n-1)6
= -9+6n-6
= 6n-15
so that =-9+(n-1)6.
The answer is option D
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Suppose a < -1. What must be true about the value about the value of b so that ab< a?-1 < b < 00 < b < 1b < -1 b > 1
Answers
ANSWER
b > 1
EXPLANATION
Suppose that a < -1.
We need to find the value of b such that:
a * b < a
This means that:
a * b < -1
For this to be possible, b must first be a positive number. Because if b is negative, then:
a * b > 0
Which would mean that a * b is greater than a.
For b to be a positive number that satisfies the inequality, then b cannot be less than 1. This is because if b is less than 1, then:
a * b > a
Therefore, b must be a positive number that is greater than 1.
This means that:
b > 1
help meeeeeeeeeeeeeeeeeee please
Answers
Answer: 539.9
Step-by-step explanation: Since 2004 is our starting year, 9 years have passed since 2004 and 2013. 9 would be the “x” in the equation.
y = 20.1(9) + 359
y = 180.9 + 359
y = 539.9
If you want to cut 24 two-foot braces, how many boards of the length shown below would you need? 12 ft A. 4 B. 6 C. 12 D. 24
Answers
We will have that we will need the following number of boards:
We can see that each board can be used to obtain 6 two-foot braces.
So, we will need:
[tex]x=\frac{1\cdot20}{6}\Rightarrow x=\frac{10}{3}\Rightarrow x\approx3.33[/tex]So, we will need 4 boards.
A plane traveled 880 miles to Ft. Worth and back. The trip there was with the wind. It took 11hours. The trip back was into the wind. The trip back took 20 hours. What is the speed of theplane in still air? What is the speed of the wind?Please help:):):)
Answers
Let the following variables represent the velocities of the plane and the wind:
[tex]\begin{gathered} \text{Velocity of the plane: }v_p \\ \text{Velocity of the wind: }v_w \end{gathered}[/tex]When the plane travels with the wind, the total velocity is the sum of both velocities. When the plane travels against the wind, the resulting velocity will be the difference of both velocities.
When the plane travels with the wind, the following condition is satisfied:
[tex]v_p+v_w=\frac{880\text{ miles}}{11\text{ hours}}[/tex]When the plane travels against the wind, the following condition is satisfied:
[tex]v_p-v_w=\frac{880\text{ miles}}{20\text{ hours}}[/tex]This is a 2x2 system of equations. To solve it by the elimination method, add both equations:
[tex](v_p+v_w)+(v_p-v_w)=\frac{880\text{ miles}}{11\text{ hours}}+\frac{880\text{ miles}}{20\text{ hours}}[/tex][tex]\begin{gathered} \Rightarrow v_p+v_w+v_p-v_w=\frac{880\text{ miles}}{\text{hour}}(\frac{1}{11}+\frac{1}{20}) \\ \Rightarrow2v_p=\frac{880\text{ miles}}{\text{ hour}}(\frac{31}{220}) \\ \Rightarrow2v_p=124\cdot\frac{\text{miles}}{\text{hour}} \\ \Rightarrow v_p=62\cdot\frac{\text{ miles}}{\text{ hour}} \end{gathered}[/tex]Solve for the velocity of the wind from the first equation:
[tex]\begin{gathered} v_w=\frac{880\text{ miles}}{11\text{ hours}}-v_p \\ =\frac{880\text{ miles}}{11\text{ hours}}-62\cdot\frac{\text{miles}}{\text{hour}} \\ =18\cdot\frac{\text{miles}}{\text{hour}} \end{gathered}[/tex]Therefore, the velocity of the plane is 62 miles per hour and the velocity of the wind is 18 miles per hour.
please tell me what I'm doing wrong. I'm still not understanding the subject after 1 hour of practicing.
Answers
Here, we want to aolve for the value of x
We proceed by cross-multiplying
We have this as follows;
[tex]\begin{gathered} \frac{1}{x+3}\text{ = }\frac{x+10}{x-2} \\ \\ 1(x-2)\text{ = (x+3)(x+10)} \\ x-2\text{ = x(x+10) + 3(x+10)} \\ x-2=x^2+10x+3x+30 \\ x-2=x^2+13x+30 \\ x^2+13x-x+30+2\text{ = 0} \\ x^2+12x+32\text{ = 0} \\ x^2+4x+8x+32\text{ = 0} \\ x(x+4)\text{ + 8(x+4)= 0} \\ (x+4)(x+8)\text{ = 0} \\ x\text{ + 4 = 0 or x + 8 = 0} \\ x\text{ = -4 or -8} \end{gathered}[/tex]Korey’s comic book store has been up and running for 4 years. Korey feels that his store has been successful and is considering moving to a larger property to allow for greater inventory and customer opportunities in his business. He would like investors to cover the cost of his expansion. The profits of Korey’s comic book store for its first four years are outlined below. According to this information, what would be the best estimate for Korey to quote as expected profits in the next year in his new business plan? Year Net Profits 1 $14,250.00 2 $15,390.00 3 $16,621.20 4 $17,950.90 5 a. $20,550.19 b. $19,090.90 c. $19,280.60 d. $19,386.97
Answers
The next year's expected profit to quote is $19,386.97
Given,
Net profit for 1st year = $14,250
Net profit for 2nd year = $15,390
Net profit for 3rd year = $16,621.21
Net profit for 4th year = $17,950.90
We have to find the expected profit in the next year.
For that, first we have to find the profit percentage of 4 years.
Profit % for 1st year =( 15,390 - 14,250 )/14250 × 100 = 0.08 × 100 = 8%
Profit % for 2nd year =( 16,621.21 - 15,390 )/15,390 × 100 = 0.08 × 100 = 8%
Profit % for 3rd year =( 17,950.90 - 16,621.21)/16,621.21 × 100 = 0.08 × 100 = 8%
So the profit percentage is consistent for the years.
Then we can find next years profit by;
Net profit for 4th year × 1.08 = 17,950.90 × 1.08 = 19,386.97
That is,
The next year's expected profit to quote is $19,386.97
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Answer:
d. $19,386.97
QUESTION 4One hundred twenty sixth graders are going on a field trip toSea World. The ratio of chaperones to students must be 1:10.How many chaperones are needed for the trip?A) 12B) 13C) 14D) 15
Answers
We can express the ratio of chaperones to students 1 : 10 as a fraction, like this:
[tex]\frac{1}{10}[/tex]By multiplying the number of students by the above ratio, we get the number of needed chaperones, like this:
[tex]126\times\frac{1}{10}=\frac{126\times1}{10}=\frac{126}{10}=12.6[/tex]Rounding to the nearest integer, the number of chaperones needed for the trip is 13
5x2 and 6x4 in lowest terms
Answers
The lowest term of 5*2 is 10
The lowest term of 6*4 is 24
How are the lowest terms calculated?
1. 5 * 2
Multiplying 5 and 2 ,
The lowest term of 5*2 is 10
2. 6*4
Multiplying 6 and 4 ,
The lowest term of 6*4 is 24
What is multiplication?
Finding the product of two or more numbers is done by multiplication. The fundamental concept of making the same number additions repeatedly is represented by the action of multiplication. The results of multiplying two or more integers are known as the products, and the factors that are used in the multiplication are referred to as the factors. The process of repeatedly adding the same number is made simpler by multiplication.To learn more about multiplication, refer:
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The graph of a function h is shown below. Find h(-1) and find one value of x for which h(x) =5
Answers
We have the graph of the function h.
First, we must find h(-1)
To find h(-1) we must see which value takes the function when x = -1
In this case
We can see that when x = -1, the function is equal to 2.
So,
[tex]h(-1)=2[/tex]Second, to find one value of x for which h(x) = 5 we must see which value takes x when the function is equal to 5.
In this case
We can see when h(x) = 5, x takes the value of 1.
So,
[tex]\text{ One value of x for which h(x) = 5 : }1[/tex]Before solving any of the following problems: identify the variables that are given and which one is unknown. Then solve the problem, rounding to two decimal places. 7) Tyrone deposits his yearly bonus of $1000 into an account that earns 2% interest compounded annually . How much will he have in the account after 20 years of working at his job?
Answers
Explanation
For a sum compounded annually, the Annuity formula is given by:
[tex]\begin{gathered} A=P\times\frac{1-(1+r)^{-n}}{r} \\ \\ where\text{ P =Initial deposit =\$1000} \\ r=rate\text{ of interest=2 \% =0.02} \\ n=the\text{ number of years compounded =20} \end{gathered}[/tex]Thus, we will compute the amount that will be in his account as:
[tex]A=1000\times\frac{1-(1+0.02)^{-20}}{0.02}[/tex][tex]\begin{gathered} A=1000\times\frac{0.3270}{0.02} \\ \\ A=16351.43 \end{gathered}[/tex]Therefore, after 20 years, he will have had the sum of $16351.43 in his account
15. Tarik's solution for the inequality 10 - 4x > 2 is shown below. Whichstatement about Tarik's solution is correct?
Answers
The given inequality is
[tex]10-4x>2[/tex]First, we subtract 10 from each side.
[tex]\begin{gathered} 10-10-4x>2-10 \\ -4x>-8 \end{gathered}[/tex]Then, we divide the inequality by -4.
[tex]\begin{gathered} \frac{-4x}{-4}<\frac{-8}{-4} \\ x<2 \end{gathered}[/tex]Hence, the solution is all real numbers less than 2.Therefore, Tarik's solution is not correct because he did not reverse the inequality.The first option is correct.Given the sequence: 1,-4, 9, -16, ... The next term is 25.TrueFalse
Answers
it's true
the next term is 25
Solve the following equation in two different ways. Explain what you did differently.
5(x + 2) = 45
5(x + 2) = 45
Answers
The following equations can be solved in two different ways
On solving the equation we get the value as [tex]x=7[/tex]
What is an equation?
An equation is a formula that represents the equality between two expressions.
Method 1) : We are given an equation
[tex]5(x+2)=45[/tex]
Divide both sides by 5, we get
[tex]x+2=9[/tex]
Subtracting 2 from both sides we get,
[tex]x=7[/tex]
Method 2)
We are given an equation
[tex]5(x+2)=45[/tex]
On simplifying the equation we get
[tex]5x+10=45[/tex]
Subtracting 10 from both sides
[tex]5x=35[/tex]
Dividing both sides by 5 we get
[tex]x=7[/tex]
In the first method we first perform division then subtraction and in the second method we simplify the right side of the equation then subtract 10 and finally divide by 5.
Hence We solve the equation by 2 ways And in both cases we get the answer as 7
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what undoes the Sine function
Answers
In this problem we have that
In the given right triangle
sin(x)=15/24 ------> by opposite side divided by the hypotenuse
using a calculator
x=38.68 degrees
sin(x)=15/24 ------> simplify
sin(x)=5/8
A park designer wanted to place a fountain so that it was close to the slide. He was given two distances as an option 1 3/4 feet or 1 5/12 feet from the slide.
Which distance is closer to the slide? Show your work to compare the two distances
Answers
Answer:
200 ft
Step-by-step explanation:
you trie it might help
hope it helps god is with u
need help with both lots of points show work
Answers
The mistake in Mike's steps is in step3 and the correct solution is 10x/3 - 2 = y
The solution of the equation is given as:
10x - 3y = 6
+ 3y +3y
---------------------------
10x = 3y + 6
-6 - 6
---------------------------
(10x - 6)/3 = 3y/3
10x - 2 = y
In the above steps, we have the following equation
(10x - 6)/3 = 3y/3
When the above equation is expanded, we have
10x/3 - 6/3 = 3y/3
10x/3 - 2 = y
The above equation is different from Mike's result.
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find the domain and range of the graph below
Answers
Answer:
DOMAIN: (-∞,-2)U(-2,∞) RANGE (-∞,-4)U(-4,∞)
Step-by-step explanation:
Domain x values
(-∞,-2)U(-2,∞)
Range y values
(-∞,-4)U(-4,∞)
