Given:
The function is:
[tex]f(x)=x^2[/tex]
This function is stretched by a factor of 9 to g(x).
To find:
The equation of function function g(x).
Solution:
The vertical stretch is defined as:
[tex]g(x)=kf(x)[/tex] ...(i)
If [tex]0<k<1[/tex], then the function f(x) compressed vertically by factor k.
If [tex]k>1[/tex], then the function f(x) stretched vertically by factor k.
The given function f(x) is stretched by a factor of 9 to g(x). So the value of k is 9.
Substituting [tex]k=9[/tex] in (i), we get
[tex]g(x)=9f(x)[/tex]
[tex]g(x)=9x^2[/tex] [tex][\because f(x)=x^2][/tex]
Therefore, the required function is [tex]g(x)=9x^2[/tex].
Construct an equation that has y = 8 as its solution. Use y on both sides of the equation.
Answer:
3y + 4 = 20 + y
Step-by-step explanation:
The equation that has y = 8 as its solution will be 3y + 4 = 20 + y.
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
Given that Construct an equation that has y = 8 as its solution. The equation of the line will be:-
3y + 4 = 20 + y.
When we solve the equation we will get the value of y equal to 8.
3y + 4 = 20 + y.
3y - y = 20 - 4
2y = 16
y = 16 / 2
y = 8
Therefore, the equation that has y = 8 as its solution will be 3y + 4 = 20 + y.
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HELP PLSSSSS!!!!! I WILL Give Brainlyist
Answer:
[tex]\frac{5}{6}[/tex]
Step-by-step explanation:
Answer:
[tex] \frac{5}{6} [/tex]Step-by-step explanation:
[tex] \frac{1}{6} + \frac{2}{3} [/tex][tex] \frac{1}{6} + \frac{2}{3} \times \frac{2}{2} [/tex][tex] \frac{1}{6} + \frac{2 \times 2}{3 \times 2} [/tex][tex] \frac{1}{6} + \frac{2 \times 2}{6} [/tex][tex] \frac{1 }{6} + \frac{4}{6} [/tex][tex] \frac{1 + 4}{6} [/tex][tex] \frac{5}{6} [/tex]Hope it is helpful...Find the Volume (Round to the nearest hundredth)
13.3 mm
16 mm
20.5 mm
Answer:
Step-by-step explanation:
third side of triangle=√(20.5²-13.3²)
=√(420.25-176.89)
=√243.36
=15.6
area of side triangle=1/2×15.6×13.3
=7.8×13.3
=103.74 mm²
volume=103.74×15.6
=1618.344
≈1618.34 mm³
Simplify equations HELP NOW!!
Answer:
[tex]\frac{1}{5} (2x+10)=4[/tex] [tex]x=5[/tex]
[tex]\frac{1}{3} (3x+9)=9[/tex] [tex]x=6[/tex]
Step-by-step explanation:
[tex]\frac{1}{5} (2x+10)=4[/tex]
Multiply both sides of the equation by 5.
5 · [tex]\frac{1}{5}[/tex] · [tex](2x+10)=[/tex] 5 · 4
Simplify both sides of the equation.
[tex]2x+10=20[/tex]
Subtract 10 from both sides of the equation.
[tex]2x=10[/tex]
Divide each term by 2 and simplify.
[tex]x=5[/tex]
--------------------------------------------------------------------
[tex]\frac{1}{3} (3x+9)=9[/tex]
Substitute x for 6
[tex]\frac{1}{3} (3(6)+9)=9[/tex]
Multiply 3 · 6
[tex]\frac{1}{3} ((18)+9)=9[/tex]
Add 18 + 9
[tex]\frac{1}{3} (27)=9[/tex]
Divide [tex]\frac{1}{3}[/tex] ÷ 27
9 = 9
6. The price of a necklace is four times that of a
bracelet. Let the price of the bracelet be $x.
(i) Express the price of the necklace in terms of x.
Answer:
The necklace is 4x.
Step-by-step explanation:
If the bracelet is x and the necklace is 4 times greater you would multiply the cost of the bracelet by 4. Meaning it would be X *4= 4x (x multiplied 4 times.)
ECONOMICS PLS HELP !!!!!!!!!!!!!!!!!!!!! 100 POINTS
Which factors of production had to be utilized to bring you an online education?
it is a verbal question from my teacher I have to tell her the answer tomorrow and I don't know what to tell her lol
the area of a 20 cm wide rectangle is 500 cm cm2 what is the length?
Given = b = 20cm, A = 500cm2 l=?
A = l×b,
500= l×20
l= 25
THE LENGTH IS 25 CM
Answer:
25 cm
Step-by-step explanation:
area of a rectangle = length × breadth
500 = length × 20
500/ 20 = length
25 = length
therfore, the length of the rectangle is 25 cm
If f(x)=(x-1)^1/3 then what is f^-1(x)
Answer:
The answer is f−1(x)=1x13
Step-by-step explanation: hi
Suppose a triangle has sides 1,
and 1. Which of the following must be true?
A. The triangle in question is a right triangle.
B. The triangle in question may or may not be a right triangle.
C. The triangle in question S not a right triangle.
SUBMIT
9514 1404 393
Answer:
B. The triangle in question may or may not be a right triangle
Step-by-step explanation:
The length of the third side of the triangle may have any measure between 0 and 2. The triangle will only be a right triangle if the third side has length √2.
The triangle may or may not be a right triangle.
What is the correct answer?
Determine the intercepts of the line
X_______
Y_______
Answer:
-250, and 100
Step-by-step explanation:
The intercepts of the line are the points where line intersects the x-axis and y-axis .
the x intercept is at point (-250, 0)
the y intercept is at point (0, 100)
Help me pleaseeeeeeeeeee nowwwww
Answer:
the correct answer is letter B
if f(x) = x^2 + 3x, and g(x) = 2x^2, what is g(f(-1))?
Answer: g
(
x
2
−
3
x
)
=
2
x
2
−
6
x
+
2
Step-by-step explanation:
Mischief Campbell math class lasts 45 minutes. Math class starts at 9:05. what time does math class end?
Answer:
The correct answer is 9:50.
Step-by-step explanation:
9:05+0:45=9:50
The following table shows a proportional relationship between j and m.
Answer:
[tex]j = \frac{3}{4} m[/tex]
Step-by-step explanation:
[tex]4j = 3m[/tex]
Divide both sides by 4 and you get the answer :)
I'm so confused, please help!
A family wants to purchase a house that costs $120,000. They plan to take out a $100,000 mortgage on the house and put $20,000 as a down payment. The bank informs them that with a 15-year mortgage their monthly payment would be $745.86 and with a 30-year mortgage their monthly payment would be $546.01. Determine the amount they would save on the cost of the house if they selected the 15-year mortgage rather than the 30-year mortgage.
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Answer:
$62,308.80
Step-by-step explanation:
The total amount paid on the 15-year mortgage is ...
($745.86/mo)×(12 mo/yr)×(15 yr) = $132,254.80
The total amount paid on the 30-year mortgage is ...
(546.01/mo)×(12 mo/yr)×(30 yr) = $196,563.60
__
The amount saved by selecting the 15-year mortgage is the difference of these amounts:
$196,563.60 -132,254.80 = $62,308.80
_____
Additional comment
This problem statement has several numbers in it that are irrelevant to the question being asked. This is why you need to read and understand the given information, and also understand the question being asked.
Here, the total cost of the house will include the mortgage cost and the down payment. The down payment is the same in either case, so does not factor in when we subtract one total cost from the other. Any difference in cost is due only to the difference in loan cost.
Of their first 18 games of the season, the
Chicago Cubs lost 4 games and won the
others. What percent of the games have
they won?
The percentage of the games the club has won is P = 77.78 %
What is Percentage?A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %
The difference between an exact value and an approximation to it is the approximation error in a data value. Either an absolute error or a relative error might be used to describe this error.
Percentage change is the difference between the measured value and the true value , as a percentage of the true value
Percentage change =( (| Measured Value - True Value |) / True Value ) x 100
Given data ,
Let the total number of games = 18
The number of games they lost = 4
So , the number of games they won = 14 games
Now , the percentage of games they won = ( 14 / 18 ) x 100
On simplifying the equation , we get
A = 0.7778 x 100
A = 77.78 %
Hence , the percentage is 77.78 %
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Geometry work HELP ASAP trying to find the measure of a circumference!!
Answer:
65 degrees
Step-by-step explanation:
Since it is given that AB=DC
then we know that AO=DO and BO=CO because it is the radius of a same circle.
Hence the shapes are equal and thus DOC=65 degree as it serves as a corresponding angle to AOB
What is the sum of the given polynomials in standard form? (x2 - 3x) + (-222 + 5x - 3) 0 -37 + 8x - 3 0-22–2x-3 o 3,2 - 8x + 3 o 2 + 2-3
Answer:
-x^2+2x-3
Step-by-step explanation:
(x^2 - 3x) + (-2x^2 + 5x - 3)
Combine like terms
-x^2+2x-3
Answer:
The fourth answer
Step-by-step explanation:
What is the sum of the given polynomials in standard form? (x2 - 3x) + (-222 + 5x - 3) 0 -37 + 8x - 3 0-22–2x-3 o 3,2 - 8x + 3 o 2 + 2-3
The fourth answer
Which measurement is equivalent to 300 millimeters ?
Answer:
11.811 inches?
7620 millimeters?
Jasmine rides her bicycle for 8 hours and is 42 miles from her house. After riding for 11 hours, she is 57 miles away.
Answer:
This isn't a question
Step-by-step explanation:
Evaluate the inverse trigonometric function Sin^-1(-1). Give answers in both radians and degrees.
A) Sin^-1(-1) = -pi or -180°
B) Sin^-1(-1) = 3pi/2 or 270°
C) Sin^-1(-1) = pi or 180°
D) Sin^-1(-1) = -pi/2 or -90°
Answer:
B) Sin^-1(-1) = 3pi/2 or 270°
D) Sin^-1(-1) = -pi/2 or -90°
Step-by-step explanation:
Sine function:
The sine function is -1 at 270º(-90º), which is 3pi/2 = -pi/2.
Inverse sine:
The input of the inverse sine function is a value, and the output are the angles which have the sine equal to the input.
Sin^-1(-1)
Angles for which the sine are -1, that is 3pi/2 or 270° and -pi/2 or -90°. Thus, options B and D are correct.
Alicia borrowed $15,000 to buy a car. She borrowed the money at 8% for 6 years
Answer:
She have to pay the bank at the end of the 6 years = 222000$
Step-by-step explanation:
Formula applied in this case where price, interest rate and time duration is mentioned.
Interest = prt/100
Substituting all the given values in the formula.
interest = 15000 * 6 * 8/100
150 * 6 * 8 = 7200
Interest + 15000 = 15000 + 7200 = 222000$ has to pay the total.
In this question amount is 15000 multiply by 6 and by 8 then divide it by 100 so we get the interest then we add it in to amount so we get an answer that is total amount which he has to pay. Hope this helps! :P PLZ GIVE ME BRAINLIST
Which of the following statements is not true regarding a 95% confidence interval for the mean of a population?
a. In 95% of all samples, the sample mean will fall within 2 standard errors of the true population mean.
b. If you add and subtract two standard errors to and from the sample mean, in 95% of all cases, you will have captured the true population mean.
c. In 95% of all samples, the true population mean will be within 2 standard errors of the sample mean.
d. 95% of the population values will lie within 2 standard errors of the sample mean.
Answer:
Hello There!!
Step-by-step explanation:
I believe the answer is b. If you add and subtract two standard errors to and from the sample mean, in 95% of all cases, you will have captured the true population mean.
hope this helps,have a great day!!
~Pinky~
The 95% confidence interval does not mean that b. If you add and subtract two standard errors to ... 95% of all cases,... captured the true population mean.
What is the 95% confidence interval for a population mean?It means that for any given number of samples, 95% of them will fall within 2 standard errors of the true mean of the population the sample is derived from.
Applying this confidence interval to the sample mean will not help you capture the true population mean which is why option B is incorrect as regards the 95% confidence interval for the population mean.
In conclusion, option B is correct.
Find out more on the 95% confidence interval at https://brainly.com/question/3191358.
Four times a number added to eight is equivalent to the opposite of four
Answer:
let the number be y
Opposite of 4 is -4
4y + 8 = -4
Group liked terms
4y = -4 - 8
4y = -12
y = -3
Step-by-step explanation:
let the number be y
Opposite of 4 is -4
4y + 8 = -4
Group liked terms
4y = -4 - 8
4y = -12
y = -3
Help me I need help plsss
Answer:
B and F
Step-by-step explanation:
Given
Functions A and B
Required
Select the true statements
First, determine the equation of A
We have:
[tex](x_1, y_1) = (1,2)[/tex]
[tex](x_2, y_2) = (3,10)[/tex]
Calculate slope (m)
[tex]m = \frac{y_2 -y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{10 - 2}{3 - 1}[/tex]
[tex]m = \frac{8}{2}[/tex]
[tex]m =4[/tex]
So, the equation is:
[tex]y = m(x - x_1) + y_1[/tex]
[tex]y = 4(x - 1) + 2[/tex]
[tex]y = 4x - 4 + 2[/tex]
[tex]y = 4x -2[/tex]
So, we have:
[tex]y = 4x -2[/tex] ------ A
[tex]y = 3x + 4[/tex] ---- B
The y intercept is when [tex]x = 0[/tex]
So, we have:
[tex]y = 4 * 0 - 2 = -2[/tex] ---- y intercept of A
[tex]y = 3 * 0 + 4 = 4[/tex] ---- y intercept of B
By comparison:
[tex]-2 < 4[/tex]
Hence: (b) is correct
The rate of change of a function [tex]y = mx + b[/tex] is m
So:
The rate of change of A is:
[tex]m_A=4[/tex]
and for B is:
[tex]m_B=3[/tex]
By comparison:
[tex]4 > 3[/tex]
Hence: (F) is correct
What is 2/7 divided by 5/4? (No links)
Answer: 5/14
Step-by-step explanation:
BRAINIST AND 10 POINTS
Answer:
I'm not positive but here are my calculations:
A cube is 1 unit per cube. 3+2+1=6 if you do 6x6 you come out with 36.
Hope this helped.
which table shows a non linear relationships between x and y
Answer:
both of them thats the answer
Step-by-step explanation:
A semi-elliptical arch rises 20 feet above a channel connecting two lakes. The width of the ellipse measures 50 feet. Write an equation of the ellipse. Let the center of the channel be located at the origin.
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Answer:
x^2/625 +y^2/400 = 1
Step-by-step explanation:
The semi-major axis is a=25, the semi-minor axis is b=20. The equation is ...
x^2/a^2 +y^2/b^2 = 1
x^2/625 +y^2/400 = 1