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2 years ago

7. Identify a transformation of the function f(x) = x by observing the equation of the function g(x) = m x, with m > 1.

Mathematics

1 answer:

hoa [83]2 years ago

8 0

The transformation from f(x) to g(x) is a vertical stretch by a factor of m

<h3>How to determine the transformation?</h3>

The functions are given as:

f(x) = x

g(x) = mx

Substitute f(x) = x in g(x) = mx

g(x) = mf(x)

From the question, we understand that:

m > 1

This means that;

The transformation from f(x) to g(x) is a vertical stretch by a factor of m

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(9-243)/(4-1)=-78
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4 years ago

Read 2 more answers

Paul wanted to bring his family to the Children’s Museum. There was an exhibit with carnival rides. The tickets for each ride we

Nostrana [21]

We want to define and solve a linear equation to model the given case.

The answers are:

a) x = number of tickets, y = total cost.

b) y = $1.35*x + $6.35

We know that:

The tickets for each ride were $1.35 per ticket.

Paul purchased 30 tickets

He spent a total of $46.85 (on tickets and admission)

The cost for the 30 tickets is:

30*$1.35 = $40.50

a) Now we can define two variables:

y = total cost

x = number of tickets

b) the linear equation would be:

y = $1.35*x + P

Where P is the price of admission.

And we know that the total cost for 30 tickets is $46.85, then we have:

$46.85 = $40.50 + P

$46.85 - $40.50 = P = $6.35

So the admission price is $6.35

This means that the linear equation is:

y = $1.35*x + $6.35

c) Brief explanation, we have the variable y that represents the total cost, it is equal to the admission price (which we found) plus $1.35 times the number of tickets bought (x).

If you want to learn more, you can read:

brainly.com/question/13738061

3 0

3 years ago

URGENT! PLEASE HELP.

uysha [10]

Answer: a) BC = 1386.8 ft

b) CD = 565.8 ft

Step-by-step explanation:

Looking at the triangle,

AD = BD + 7600

BD = AD - 7600

Considering triangle BCD, we would apply the the tangent trigonometric ratio.

Tan θ = opposite side/adjacent side. Therefore,

Tan 24 = CD/BD = CD/(AD - 700)

0.445 = CD/(AD - 700)

CD = 0.445(AD - 700)

CD = 0.445AD - 311.5 - - - - - - - -1

Considering triangle ADC,

Tan 16 = CD/AD

CD = ADtan16 = 0.287AD

Substituting CD = 0.287AD into equation 1, it becomes

CD = 0.445AD - 311.5

0.287AD = 0.445AD - 311.5

0.445AD - 0.287AD = 311.5

0.158AD = 311.5

AD = 311.5/0.158

AD = 1971.52

CD = 0.287AD = 0.287 × 1971.52

CD = 565.8 ft

To determine BC, we would apply the Sine trigonometric ratio which is expressed as

Sin θ = opposite side/hypotenuse

Sin 24 = CD/BC

BC = CD/Sin24 = 565.8/0.408

BC = 1386.8 ft

4 0

4 years ago

Segment addition postulate<br> What’s the answer?

Free_Kalibri [48]

$\bf Step-by-step~explanation:$

Keep in mind: The entire line segment (VX) is equal to 14.

$\bf Step~1:$

Let's see how the line segment looks like first.

Line segment VX is 14 units long.

______________

V X

W is on the line segment somewhere, and VW is equal to 3.

3 ?

______________

V W X

$\bf Step~2:$

We have to solve for the <em>?.</em> Let's put ? as x. So now we are solving for x.

We have to set up our equation like this:

x + 3 = 14

Since our unknown value plus 3 is equal to 14, we have to subtract 3 from 14 to get our answer.

14 - 3 = 11

3 11

______________

V W X

$\large\boxed {\bf Our~final~answer: ~WX=11}$

3 0

3 years ago

Plsss help (Cuz i'm dumb:D) Calculate the surface area of the prism below, shape below

marin [14]

Surface area of the the rectangles:
8 * 5 + 8 * 4 + 8 * 3 = 96

Surface area of the two triangles:
Use bh/2 base time height over 2
(4 * 3)/2 = 6
There are 2 triangles, 2 * 6 = 12

12 + 96 = 108

5 0

3 years ago