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3 years ago

Suppose f(x)=x^2.What is the graph of g(x)=f(5x)?

Mathematics

1 answer:

ZanzabumX [31]3 years ago

5 0

Answer:

Step-by-step explanation:

g(x)=f(5x)

this means plugging in 5x for x in f(x):

g(x)=f(5x)=(5x)^2

which can be further simplified:

5^2x^2=25x^2

Since the coefficient of x being larger means a vertical stretch, the answer is D

example:

g(2)=f(5*2)=f(10)=f(10^2)=100

so for g(x), it has the coordinates (2,100), which is most definitely not C

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Write the linear equation in slope intercept form that passes through the given slopes (1,3) and (-3,-5)

Dimas [21]

Answer:

y = -3x

Step-by-step explanation:

The standard expression of equation of a line in slope-intercept form is expressed as;

y = mx+c

m is the slope

c is the intercept

Given

slope m = -3

Point (x, y) = (-1, 3)

x = -1 and y = 3

Get the intercept

To get the intercept c, we will substitute the given values into the equation above to have;

y = mx+c

3 = -3(-1)+c

3 = 3 + c

c = 3-3

c = 0

Substitute m = -3 and c = 0 into the equation above;

y = mx+c

y = -3x+0

y = -3x

Hence the required linear equation is y = -3x

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Use the inequality x2−8x+6≤0 and graphing calculator, or another piece of technology, to answer Part A and Part B. Part A: What

Kryger [21]

Answer:

Part A) The zero's of the function are $x=0.84, x=7.16$

Part B) The solution set is the interval $[0.84,7.16]$

Step-by-step explanation:

we have

$x^2-8x+6\le0$

Using a graphing calculator

Part A) What are the zeros of the inequality to the nearest hundredth?

The zero's of the function are the values of x when the values of the function are equal to zero

see the attached figure

The zero's of the function are

$x=0.84, x=7.16$

Part B) What is the solution set for the inequality?

The solution set is the interval $[0.84,7.16]$

All real numbers greater than or equal to 0.84 and less than or equal to 7.16

$0.84\leq x \leq 7.16$

5 0

3 years ago

There are two different maps of ohio. The scale on the first map is 1 cm to 10 km. The distance from cleveland to clncinnati is

Ivanshal [37]

1. To answer this question we must keep on mind that we already have the distance from Cleveland to Cincinnati.

2. They tell us that it is 40 centimeters on the first map.

3. If on the first map $1cm = 10km$ then:

$40cm = 10km * 40 = 400km$

4. Then the distance from Cleveland to Cincinnati is 400 kilometers.

5. On the second map $1cm = 50km$

6. Then we want to know how many centimeters represents 400 kilometers on the second map. Therefore:

$400/50= 8$

The answer is: 8 centimeters.

6 0

3 years ago

How do i factor out the coefficient of the variable in problem -3.6z - 10.8

Basile [38]

Factor -1 out of -3.6z - 10.8.

5 0

4 years ago

Which inequality represents all possible solutions of -6n < -12?

Helga [31]

$-6n < -12\\\\\implies 6n > 12\\\\\implies n > \dfrac{12}6\\\\\implies n > 2$

8 0

3 years ago