MATHEMATICS HIGH SCHOOL

If you vertically stretch the quadratic parent function, f(x) = 2^x, by a factor of 3, what is the equation of the new function?

Answers

Answer 1

Answer:

If you stretch on the y-axis then you are increasing/decreasing values at a every x.

The new function is therefore:

$g(x)=3\cdot2^x$

Hope this helps.

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Write the equation y= 5x-11 in standard form
What is y=3x+6 y=4x i need some help on it

What is f=kry, for y

Answers

f = kry

f/kr = y

y = f/kr

Answer: y = f/kr

*Hope that helps and enjoy Brainly:)

What is the slope of the line?
6x - 2y = 10

Answers

The slope of the Line is 3

What is the slope of a line?

Generally, the slope of a line gives the measure of its steepness and direction. The slope of a straight line between two points says (x1,y1) and (x2,y2) may be easily determined by finding the difference among the coordinates of the points. The slope is normally represented by the letter 'm'.

Conclusion: The slope is defined as the ratio of the vertical change between two points, the rise, to the horizontal change between the same two points, the run.

The general equation of a line having a slope is y = mx + c

we have to arrange the equation 6x - 2y = 10 in y = mx + c form

6x -2y = 10

2y = 6x - 10

y = 3x - 5

The slope of the line is represented by m, the value of m in equation y = 3x - 5 is 3

learn more about slope of a line here brainly.com/question/16949303

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We need to rearrange the equation so that it is in slope-intercept form:

y = mx + b

Where m is the slope and b is the y-intercept.

To do this we just solve for y.

Subtract 6x from both sides.

-2y = 10 - 6x

Divide both sides by -2.

y = -5 + 3x

m=3

The line has a slope of 3.

CAN SOMEONE HELP PLEASE! A circle has center O(−2, −4) and radius 10. Which of the following points is on the circle?

Hint: d equals square root of left parenthesis x sub one minus x sub two right parenthesis squared plus left parenthesis y sub one minus y sub two right parenthesis squared end square root

A. V(8, −4)
B. X(5, −2)
C. Y(−6, 0)
D. Z(5, 7)

Answers

the equation of a cirecle with radius r and center at (h,k) is
(x-h)^2+(y-k)^2=r^2
r=10
center=(-2,-4)
(x+2)^2+(y+4)^2=10^2
(x+2)^2+(y+4)^2=100
(x,y)
sub given points (or use TI) and see if you get a true statmeent
A is on it

answer is A

the equation of of circle = (x+2)^2 + (x+4)^2 = 100
by sub. by this points in the circle equation
for point V(8,-4)
(8+2)^2 + (-4+4)^2 = 100
so the point V lay on the circle

Based on an architectural drawing, a roof slopes to a drain along the function represented in the table that defines the edge of slope, where x is the horizontal distance in feet and f(x) is the vertical distance in feet. Graph X / 0 / 20 / 40 / 80 / 160 F(x)/ 8 / 6 / 4 / 0 / 8 If the drain is at the minimum point, how far is it from the wall defined by the y-axis? 0 feet 8 feet 80 feet 160 feet

Answers

Answer:

80ft

Step-by-step explanation:

Answer:

Step-by-step explanation:

How do you simplify the fraction 252 over 288?

Answers

GCF = 36

We can reduce the fraction by dividing
the numerator and denominator by 36
and get our simplified answer

252 ÷ 36 / 288 ÷ 36=

7 /8

Instead of finding the GCF, you can simplify with mental math.

If you notice they are both divisible by any number, divide them both by this number to simplify until they share no common factors.

252 and 288 are both divisible by 2.

252/288 = 126/144

126 and 144 are both divisible by 2.

126/144 = 63/72

63 and 72 are both divisible by 3.

63/72 = 21/24

21 and 24 are both divisible by 3.

21/24 = 7/8

The set of integers contains whole numbers and their _____.

Answers

Answer – Opposites
The set of integers contains whole numbers and their opposites. In other words, integers are set of numbers which contains the positive whole numbers, the negative whole numbers (i.e. opposite of the positive whole numbers), and zero. Integers do not contain fractions and decimals.

The set of integers contains whole numbers and their opposites

How to complete the blank

From the question, we have the following parameters that can be used in our computation:

The statement

By definition, integers are set of numbers which contains the positive whole numbers, the negative whole numbers (i.e. opposite of the positive whole numbers), and zero.

Also, integers do not contain fractions and decimals

This means that the set of integers contains whole numbers and their opposites.