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3 years ago

Can somebody explain to me how to solve this problem? I'm confused

Mathematics

1 answer:

navik [9.2K]3 years ago

8 0

Step-by-step explanation:

g(x) = f(2x), so g(x) is f(x) compressed by a factor of 2.

So if the domain of f(x) is [1, 5], then the domain of g(x) is [1/2, 5/2].

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The vertex of this parabola is at (-5, -2). When the x-value is -4, the

dusya [7]

I am pretty sure that it's
A. 1

3 0

3 years ago

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Show your work in order to receive credit for your work. Find the solution to the system of equations.

Ira Lisetskai [31]

Answer:

x=8 y=4

Step-by-step explanation:

x=12-y

12-y-y=4

-2y=-8

y=4

x=12-y

x=12-4

x=8

5 0

2 years ago

Solve (t - 3)2 = 6. The arrow is at a height of 48 ft after approximately _ s<br>and after _s

Slav-nsk [51]

Answer:

The arrow is at a height of 48 ft after approximately <u>0.55</u> s and after <u>5.45</u> s

Step-by-step explanation:

The following information is missing:

<em>The height of an arrow shot upward can be given by the formula s = v0*t - 16*t², where v0 is the initial velocity and t is time.How long does it take for the arrow to reach a height of 48 ft if it has an initial velocity of 96 ft/s? </em>

If the arrow is at a height of 48 ft and its initial velocity is 96 ft/s, then:

48 = 96*t - 16*t²

16*t² - 96*t + 48 = 0

16*(t² - 6*t + 3) = 0

t² - 6*t + 3 = 0

t² - 6*t + 3 + 6 = 0 + 6

t² - 6*t + 9 = 6

(t - 3)² = 6

t - 3 = √6

t - 3 = 2.45; t = 2.45 + 3; t = 5.45

t - 3 = -2.45; t = -2.45 + 3; t = 0.55

3 0

3 years ago

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You and 3 friends go to the movies. Each movie ticket costs $6.25. If your mom gave you $20.00 and you bought popcorn for $3.50,

Sedaia [141]

Answer:

$Change = \$10.25$

Step-by-step explanation:

Given

$Individuals = 4$ <em>(You and 3 friends)</em>

$Total = \$20.00$

$Movie = \$6.25$ per individual

$Popcorn = \$3.50$

Required

Determine the change

First, we need to determine the total amount spent on movie ticket.

The question does not state whether I pay for my friend's ticket.

So, we'll work on what is obvious.

i.e

$Amount\ Spent\ on\ Ticket = \$6.25$

Add this amount to the amount spent on popcorn

$Amount\ Spent =\$6.25 + \$3.50$

$Amount\ Spent =\$9.75$

To get the Change, we have to deduct the total amount spent from the amount given by mom

$Change = \$20 - \$9.75$

$Change = \$10.25$

Hence:

The change is $10.25

7 0

3 years ago

i had 3 times as many rose bushes as holly bushes in my garden. Then i moved seven of my rose bushes to my grandfather’s garden,

PIT_PIT [208]

Total number of rose and holly bushes that I had initially = 20

<h3>System of linear equations</h3>

Let the initial number of rose bushes be r

Let the initial number of holly bushes be h

I had 3 times as many rose bushes as holly bushes in my garden

r = 3h......................(1)

After moving seven of my rose bushes to my grandfather’s garden, the remaining number of rose bushes = r - 7

After planting 11 new holly bushes in my garden, the new number of holly bushes = h + 11

Now my garden has half as many rose bushes as holly bushes

r - 7 = 0.5(h + 11)

r = 0.5h + 5.5 + 7

r = 0.5h + 12.5...............(2)

Compare equations (1) and (2)

3h = 0.5h + 12.5

3h - 0.5h = 12.5

2.5h = 12.5

h = 12.5/2.5

h = 5

Substitute h = 5 into equation (1)

r = 3h

r = 3(5)

r = 15

Total number of rose and holly bushes that I had initially = h + r

Total number of rose and holly bushes that I had initially = 5 + 15

Total number of rose and holly bushes that I had initially = 20

Learn more on system of linear equations here: brainly.com/question/13729904

6 0

2 years ago