If a vertical line exists moved across the graph and, at any time, touches the graph at only one point, then the graph exists a function. If the vertical line touches the graph at more than one point, then the graph is not a function.
What is meant by vertical line test?The vertical line test is a visual approach for assessing whether a curve in the plane accurately depicts the graph of a function by counting the points on the curve where vertical lines cross it. Consequently, any vertical line in the plane can only ever cross the graph of a function once.
Use the vertical line test to define whether or not a graph represents a function. If a vertical line exists moved across the graph and, at any time, touches the graph at only one point, then the graph exists a function. If the vertical line touches the graph at more than one point, then the graph is not a function.
Therefore, the correct answer is option D. No, the graph fails vertical line test.
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Drag each equation to show if it could be a correct first step to solving the equation
3(x+8)=42.
(3-2)+(3-8)= 42
Yes
DRAG AND
DROP ITEMS
3x + 24 = 42
3x+8 = 42
No
x + 24 = 42
DRAG AND
DROP ITEMS
HERE
CLEAR
2+8=14 3(z+8)=126
Not Enough Information
CHECK
DRAG-AND
DROP ITEMS
HERE
The correct first step for solving the equation 3(x+8) = 42 is (3×x)+(3×8) = 42.
How to solve a linear equation?A linear equation is one that contains a variable such as " x " instead of something like x 2. Linear equations can be written as x + 6 = 4 or 2 a - 3 = 7.To answer an equation, in general, you need to get the variable on its own by undoing whatever operations that have been applied to it.Step 1. Unambiguous fractions or decimals.Step 2. Remove parentheses and combine like terms to optimize evey side of the equation.Step 3. Isolate this same variable term by putting it on one of the equation's sides.Step 4. Divide each of the equation's sides to solve the equation.Step 5. Examine your solution.For the given equation;
3(x+8) = 42
The first step will be to open the parenthesis, and multiply each term with 3.
(3×x)+(3×8) = 42.
Thus, the first step to solve the linear equation is (3×x)+(3×8) = 42.
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a)The area of a rectangular field is 7632m² .If the length of the field is 99 m, what is its width?b) The perimeter of a rectangular painting is 358 cm. If the width of the field is 82 cm, what is its length?
We have
A=7632m^2
the formula of the area of a rectangle
[tex]A=l\times w[/tex]where l is the length and w is the width
in our case we have
l=99m
then we substitute the values given in the formula
[tex]7632=99\times w[/tex]we need to isolate the w in order to find the value of the width
[tex]\frac{99}{99}\times w=\frac{7632}{99}[/tex][tex]w=\frac{7632}{99}=77.09m[/tex]the width is 77.09m
Which word best describes two figures that have the same size and the same shape?
Help pls!
Answer:
A. congruent
B. adjacent
C. parallel
D. similar
If y varies directly as x and y=3 when x=4. Find :
Connecting law
X when y=9
Y when x=2
Answer:
x = 12 and y = (3/2)
Step-by-step explanation:
"Y varies directly as x," can be written as:
y = mx
The connecting law is m, which relates how much y will change for a change in x. m is given by:
m = y/x
To find m, the slope, use the two given values for x and y:
m = y/x
m = 3/4
This yields:
y = (3/4)x
Now we can find:
X when y=9:
y = (3/4)x
9 = (3/4)x
x = (4/3)*9
x = 12
Y when x=2:
y = (3/4)x
y = (3/4)*2
y = (3/2)
Does the following pair represent like fraction’s 6/7 1 5/7
The following pair represent 6/7 , 1 5/7 are called like fractions, because the fractions with the same denominators.
Based on the given fraction is,
6/7 , 1 5/7
Then,
What is Fraction :In a fraction is used to represent the portion/part of the whole thing. It represents the equal parts of the whole. A fraction has two parts, namely numerator and denominator. The number on the top is called the numerator, and the number on the bottom is called the denominator.
Like Fractions – The fractions with the same denominator are called like fractions.Example: 4/2, 7/2, 9/2
Here, the denominators of all the fractions are 2. Hence, they are called like fractions.
Unlike Fractions – The fractions with different denominators are called, unlike fractions.
Example: 5/2, 4/6, 9/4
Here, the denominator values are different in all the fractions. Hence, they are called, unlike fractions.
Equivalent Fractions – If two fractions result in same value, after simplification, then they are equivalent to each other.Example: ⅔ and 4/6 are equivalent fractions, since 4/6 = (2×2)/(2×3) = 2/3
In group (i) the denominator of each fraction is 7, i.e., the denominators of the fractions are equal.
The fractions with the same denominators are called like fractions.
In group (ii) the denominator of each fraction is different, i.e., the denominators of all the fractions are different.
The fractions with different denominators are called unlike fractions.
Therefore,
The following pair represent 6/7 , 1 5/7 are called like fractions, because
the fractions with the same denominators.
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what is r, -3(1+6r)=14-r
Answer:
r=-1
Step-by-step explanation:
- 3 ( 1 + 6 r ) = 14 - r
-3-18r=14-r
-3-18r+r=14
-3-17r=14
-17r=14+3
-17r=17
r=-1
Write the equation of the parabola in vertex form. Vertex (0,3) Point (1, -2)
f(x)=
Please Help It would be appreciated
The equation of the parabola is y = -5x^2 + 3
How to determine the equation?The points and the vertex represent the given parameters
From the question, we can see that the equation is a parabola
A parabola function is represented as
y = a(x - h)^2 + k
Where
Vertex = (h, k)
Point = (x, y)
From the question, we have
Vertex = (h, k) = (0, 3)
Point = (x, y) = (1, -2)
So, we have
y = a(x - 0)^2 + 3
Evaluate
y = ax^2 + 3
Using the point, we have
-2 = a(1)^2 + 3
This gives
a = -5
So, we have
y = ax^2 + 3
y = -5x^2 + 3
Hence, the equation is y = -5x^2 + 3
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The side length, s, of a cube is 4x2 + 3. If V = s3, what is the volume of the cube?
The Volume of the cube is [tex]$$\left(64 x^6+144 x^4+108 x^2+27\right)\\[/tex].
[tex]we \ know \that \ The \ volume \ of \ a \ cube \ is \ equal \ to \ $$V=s^3$$[/tex]
[tex]$$ where$s$ is the length side of the cubeIn this problem we have$$s=\left(4 x^2+3\right)$$Substitute$$V=\left(4 x^2+3\right)^3$$Remember that$$\begin{aligned}&\left(4 x^2+3\right)^3=\left(4 x^2+3\right)^2\left(4 x^2+3\right) \\&\left(4 x^2+3\right)^2\left(4 x^2+3\right)=\left[16 x^4+24 x^2+9\right]\left(4 x^2+3\right) \\&=64 x^6+48 x^4+96 x^4+72 x^2+36 x^2+27\end{aligned}$$Combine like terms$$=64 x^6+144 x^4+108 x^2+27$$[/tex]
What is cube ?In geometry, a cube is a three-dimensional solid object bounded by six square faces, faces or sides, three of which meet at each vertex.
The cube is the only regular hexahedron and one of the five Platonic solids. It has 6 faces, 12 edges and 8 vertices.
A cube is also a square parallelepiped, an equilateral cube and a right rhombohedron 3-ribbed. It is a regular square prism in three directions and a triangular trapezoid in four directions.
A cube is a double point with an octahedron. It has cubic or octahedral symmetry.
A cube is the only convex polyhedron that has all its faces square.
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2. The fastest a human has ever run is 27 miles per hour. How many miles per minute did the human run?
Answer:
0.45 miles per minute
Step-by-step explanation:
Look at the units: miles per hour is miles/hour
miles hour miles
----- * ------- = ---------
hour minute minute
(27 miles/hour)(1/60 hours/minute) = 27/60
= 9/20 = 0.45 miles per minute
help i need help ASAP pleeeeeeeeeeeeeeees
Answer:
Step-by-step explanation:
Dr.Gordon has a scale drawing of a building site. The drawing uses the scale 2 in. On the drawing for every 100 ft on the building site. Dr.Gordon marks a 6 in by 32 in section of the drawing to show the section she will search. What is the area of the section she will search? Show your work.
It is essential that Dr. Gordan searches for an area that is equivalent to 48,000 ft2, and he will look for it.
This is further explained below.
What is the search area?Generally, As stated in the preceding inquiry, The scale that Dr. Gordan uses
2 in = 100 ft
⇒1 in = 50 ft
A portion measuring 6 inches by 3.2 inches is highlighted by Dr. Gordon.
6 inches of length
= ( 6 × 50 )ft
= 300ft
3.2 inches in width
= ( 3.2 × 50 )
= 160ft
The total area of the section may be calculated as follows:
area = (length x width)
= 300 × 160
= 48,000 ft²
As a result, the needed search area for the portion that Dr. Gordan will conduct is equivalent to 48,000 feet squared.
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please explain i dont understand
The length of line segment (10.8, -5.3) and (-15.6, -5.3) is 26.4
since both points lie on the same horizontal line (same y-coordinate), we can record the detour using the Pythagorean approximation. to get the distance we just need to look at the difference in x-coordinates:
10.8 - (-15.6 )= 10.8 +15.6 = 26.4
What is line segment?A segment is bounded by two distinct points on a line. Or we can say that a line segment is a part of a line that connects two points. A straight line has no endpoints and extends indefinitely in both directions, but a segment has two fixed or specified endpoints. The difference between a segment and a ray is that a ray has only one end point and one end extends to infinity. Section with two endpoints A and B and marked with a bar symbol (-)
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Mark wants to buy a computer that's normally $550, but after discount is $385. What percent of the original price does Mark pay?
Need photo of scratch work showing justification
Mark had to pay 70 percent of the original price.
What is percent?
A % in mathematics is a quantity or ratio that is stated as a fraction of 100 (from the Latin per centum, "by a hundred"). Even though the acronyms "pct.", "pct.", and even "pc" are also employed the percent symbol, "%," is frequently used to indicate it. A percent lacks dimensions and has no associated unit of measurement. The ratio's numerical value is multiplied by 100 to obtain the percent value. The Latin word per centum, which means "hundred" or "by the hundred," is where the word "percent" originates. The Italian word per cento, which means "for a hundred," gradually shrank to become the symbol for "percent."
Mark paid = $385
Original price = $550
Percent what Mark pay = (385/550) x 100 percent
= 70 percent
Hence, Mark had to pay 70 percent of the original price.
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Please help. been stuck on this question for ages.
Noah opens a savings account which gives compound interest of
2.5% per year. He puts £4000 into it.
a) How much money will Noah have in the account after 9 yrs?
b) How much interest will Noah have earned from this account
after 9 years?
Give your answers in pounds (£) to the nearest 1p.
a. Noah will have money in the account after 9 yrs is $4900.
b. Noah has earned interest from this account after 9 years is 22.5%.
What is compound interest?
Compound interest is when interest on a loan, investment, or savings account grows exponentially over time rather than linearly.
Formula to calculate simple interest
I = Prt
Where, I = Simple interest
t = time
r = earned interest
P = Compound interest
Here, we have
P = $4000, r = 2.5%, t = 9 years
By applying the compound interest formula, we get
I = 4000×0.025×9
= 900
The total amount after 9 years is 4000+900= 4900
Hence,
a. Noah will have money in the account after 9 yrs is $4900.
b. Noah has earned interest from this account after 9 years is 22.5%.
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Find an equation for the perpendicular bisector of the line segment whose endpoints are (-8,3) and (-4,-1)
The equation of the perpendicular bisector line is y = x + 3
Equation of a lineTo solve this problem, we simply need to use the formula of equation of a straight line which is given as
[tex]y = mx + c[/tex]
Let's find the slope (m) and the intercept (c) of the equation.
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Let's substitute the values into the formula and solve.
[tex]m =\frac{-1 - 3}{-4 -(-8)} \\m = \frac{-4}{-4} = 1[/tex]
The slope of the line is equal to 1.
Taking any of the point given, we can find the intercept.
[tex]y = mx + c\\-1 = 1(-4) + c\\- 1 = -4 + c\\c = 3[/tex]
From the above, we can use the values to write the equation of the line.
[tex]y = mx + c\\y = x + 3[/tex]
The equation of the line is y = x + 3
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Survey In a survey of 3,300 people who owned a certain type of car, 1,650 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?
In linear equation, 65% of the people surveyed were satisfied with the car.
What is linear equation in math?
A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.total people = 3300
car repeater = 1650
In general to find %, divide the subset by the total amount and multiply by 100:
2145 / 3300 * 100 = 65%
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If m∠1=(7x+6)° and m∠2=(8x−6)°, find the value of x such that is perpendicular to .
Answer:
perpendicular to what
Step-by-step explanation:
HELP I WILL GIVE BRAINLIEST ONLY TO RIGHT ANSWER
Which graph shows a proportional relationship between x and y?
Answer:
C
Step-by-step explanation:
The y-axis is the vertical axis, which is represented by y, and the x-axis the horizontal axis, represented by x. You can see in the graph that (3, 12) is one point. 3 x 4 = 12, where x is 3 and y is 12. This proves the proportional relationship with x and y is y = 4x. To double check, you can plug in (3, 12) to get 12 = 4(3). 4 x 3 = 12, so Option C shows the proportional relationship.
We typically write linear equations in slope-intercept form:
[tex]y=mx+b[/tex]
m = slopeb = y-intercept (the value of y when x=0)Because this graph has a proportional relationship, it means that they pass through the point (0,0), and that our y-intercept is 0. Our equation looks like this:
[tex]y=mx[/tex]
Solving the QuestionFirst, we typically find the slope of the equation using the slope formula:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex] where [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are two points that fall on the line
⇒ Plug in any two points that the line passes through, such as (0,0) and (3,12):
[tex]m=\dfrac{12-0}{3-0}\\\\m=\dfrac{12}{3}\\\\m=4[/tex]
Therefore, the slope of the line is 4. Plug this into [tex]y=mx[/tex]:
[tex]y=4x[/tex]
Answer[tex]y=4x[/tex]
Paco has $400 June has 1/10 of that. June has 10 times as much Maria has how much money do Maria and June have
Answer:
maria:4$
june:40$
Step-by-step explanation:
400/10 = 40 = june
40/10 = 4 = maria
hope this helped
have a good day ^^
Answer:
June has $40 and Maria has $4.
Step-by-step explanation:
One tenth of 400 is 40 and 40 divided by 10 equals 4.
What does the n stand for in this formulac
A = P(1+) **
The number of times compounded per year
O final amount
O time
O initial amount
This is formula of compound interest , where n = time .
What is the simple definition of compound interest?
When you earn interest on your interest earnings as well as the money you have saved, this is known as compound interest.As an illustration, if you put $1,000 in an account that offers 1% yearly interest, you will receive $10 in interest after a year. Compound interest allows you to earn 1 percent on $1,010 (principal plus interest), or $10.10 in interest payments for the year, in Year Two.the n stand for in this formula is time
the full formula is
A = P(1 + r/100)ⁿ
where A = Annual amount
P = initial amount
R= rate
n = time
this is formula of compound interest
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Columbia manufactures bowling balls with a mean weight of 14.6 pounds and a standard deviation of 3 pounds. a bowling ball is too heavy to use and is discarded if it weighs over 16 pounds. assume that the weights of bowling balls manufactured by columbia are normally distributed. the latest 6% of the bowling balls made or discarded due to the possibility of defects. a bowling ball is the square for being too light if it weighs under what specific weight?
The probability that a bowling ball chosen at random would be discarded because it is too heavy to use is 0.3204.
The population's mean weight (μ) is equal to 14.6 pounds.
The standard deviation (σ) is equal to 3 pounds.
Assuming a normal distribution, the corresponding z-score for each given weight "X" is calculated as follows:
z = (x - µ)/σ
For X = 16 pounds:
z = (16 - 14.6)/3
z = 0.4667
A z-score of 0.4667 is equivalent to the 67.96-th percentile of the distribution. The probability of a ball being discarded is:
P(z > 0.4667) = 1 - 0.6796 = 0.3204
The probability that a randomly selected bowling ball is discarded due to being too heavy to use is 0.3204 or 32.04%.
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AD is the perpendicular bisector of BC. BD = 5x - 10 and DC = 3x + 10.
Determine the value of x.
Applying the definition of perpendicular bisector, the value of x is: 10.
What is a Perpendicular Bisector?A perpendicular bisector can be defined as any line segment that bisects another line segment. That is, it divides another line segment into two equal parts having the same length.
Since AD is the perpendicular bisector of BD, then, BD = DC.
BD = 5x - 10
DC = 3x + 10
Substitute
5x - 10 = 3x + 10
Combine like terms
5x - 10 + 10 = 3x + 10 + 10 [addition property of equality]
5x = 3x + 20
5x - 3x = 3x + 20 - 3x [subtraction property of equality]
2x = 20
Divide both sides by 2
2x/2 = 20/2 [division property of equality]
x = 10
The value of x is 10.
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Which of the following relations doesnot represent a function?A {(4,4),(5,4), (6,4)}B {(4,4),(4,5),(4, 6)C {(4,5), (5,5), (6,5)}D {(4,4),(5,5), (6,6)}
In a set of ordered pairs,
To be considered a function, each x-value must be paired with a corresponding UNIQUE y-value.
We want to select the "relation" from the choices, not the function.
A. Represents a function. Each x value paired with unique y value.
B. Doesn't represent a function. "4" is paired up with mutliple values of y.
C. Represents a function. Each x value paired with unique y value.
D. Represents a function. Each x value paired with unique y value.
AnswerBLeah wants to divide x by −5/12. What number should she multiply by x to find the answer?
The number to be multiplied by x to get the answer will be -12/5.
An algebraic expression may be defined as an equation which consists of variables and the arithmetic operations such as division, multiplication, addition and subtraction. It is given that Leah wants to divide x by a number which is -5/12. We know that an algebraic expression needs a variable so x divided by -5/12 can be written as
x ÷ -5/12
In fractional division, we need to find the reciprocal of the divisor fraction and then multiply it with the dividend to find the solution. The expression can be written as
x × -12/5 or we need to multiply -12/5 by x to find the answer.
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$8.5is 1hrs 2hrs is $13.65 and $18.80 for 3hs and $23.95 is 4hrs if the pattern continues how much will it cost for 6 hrs?
Answer:
$45.85 for 6 hours
Step-by-step explanation:
A 28-sided die is rolled 3 times. How many different outcomes are possible?
The number of possible outcomes exists 21952. The probability of an event is a number between 0 and 1, with 0 approximately denoting impossibility and 1 denoting certainty.
What is meant by probability?A probability is a numerical representation of the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.
Probability exists a branch of mathematics that deals with numerical representations of the likelihood of an event happening or of a proposition being true. The probability of an event exists a number between 0 and 1, with 0 approximately denoting impossibility and 1 denoting certainty.
Given:
A 28-sided die is rolled 3 times.
28 × 28 × 28 = 21952.
Therefore, the number of possible outcomes exists 21952.
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A line passes through the point (-4,1) and has a slope -4. Write an equation in slope-intercept form for this line.
Answer:
y = -4x + 17
Step-by-step explanation:
formula
y - y1 = m ( x - x1)
y - 1 = -4 ( x - (-4))
y - 1 = -4 ( x - (-4))
y - 1 = -4 ( x + 4)
y - 1 = -4x - 16
y = -4x + 17
Hugh and Mari wanted to buy a tent for their family holidays, and they were hoping to use the interest from their savings to buy it. They invested £1500 at the bank with an interest rate of 7%. At the end of 3 years, they had exactly the right amount saved to buy the tent. How much does the tent cost?
The tent cost is equal to 315.
They invested £1500 at the bank with an interest rate of 7%. At the end of 3 years,
So, the principle amount is 1500, rate of interest given by the bank is 7%
and they invested the amount for 3years.
The interest amount can be calculated by using the simple interest formula:
SI = [tex]\frac{PRT }{100}[/tex]
where P denotes the principle amount invested R is the rate of interest and t is the time for which the amount is being invested.
SI = (1500 x 7% x 3)/100
SI = 15 x 21 = 315
The simple interest is calculated to be 315.
They had exactly the right amount saved to buy the tent.
So, the cost of the tent is same as the interest amount. = 315
Therefore, the tent cost is equal to 315.
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classify the polynomial as constant, linear, quadratic, cubic, or quartic, and determine the leading term, the leading coefficient, and the degree of the polynomial.
The polynomial as constant, linear, quadratic, cubic, or quartic, and determine the leading term, the leading coefficient, and the degree of the polynomial is Leading term= x
Leading coefficient= -6
Degree of the polynomial = 1
Taking = g(x) = - 6x - 9
It is a linear function which has an intercept with the y - axis at x= 0, y= -9.
Where m= -6.
Leading term= x
Leading coefficient= -6
Degree of the polynomial = 1
What are cubic and quadratic constant polynomials?
A variable is a constant polynomial if its highest exponent is 0. It is a linear polynomial if the highest exponent is 1. It is a quadratic polynomial if the largest exponent of a variable is 2, and a cubic polynomial if the maximum exponent is 3.
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1/3(2n - 1/4)=7/14
solve the eqaution for n
Answer:
n=7/8
Step-by-step explanation:
i got big brain
