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notsponge [240]
3 years ago
13

What can you say about the y-values of the two functions

ula1" title="f(x) = 3^x-3" alt="f(x) = 3^x-3" align="absmiddle" class="latex-formula"> and = g(x) = 7x^2-3? Check all that apply.
A. The minimum y-value of f(x) is -3.
B. g(X) has the smallest possible y-value.
C. f(X) has the smallest possible y-value.
D. The minimum y-value of g(x) is -3
Mathematics
1 answer:
slavikrds [6]3 years ago
4 0

Answer:

a) The minimum y-value of f(x) is -3

d) The minimum y-value of g(x) is -3

Step-by-step explanation:

Given in the question that,

f(x) = 3^{x}-3

g(x) = 7x² - 3

<h3>A)</h3>

At large negative exponents, the value approaches to zero

y = 3^{-100}-3=-3

y = 3^{-1000}-3=-3

y = 3^{-10000}-3=-3

<h3>B)</h3>

Minimum y-value of g(x) will be when x = 0

y = 7x² - 3

y = 7(0) - 3

y = -3

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It would be unlikely  
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3 years ago
1) In class you worked with a "big" cube made of 27 smaller cubes each of which was 1 cmby 1 cm by 1 cm. Suppose you had 150 of
abruzzese [7]

The information provided is that you have smaller cubes that measure 1 cm on either of the three sides. In order words if you lie each cube side by side you would have the length/width/height of the indicate sides.

For a cube made up of 27 smaller cubes, you can determine the length of each side by factoring the entire size provided. That means for a cube made up of 27 smaller cubes you would have;

27=3\times3\times3

This means you would have 3 smaller cubes on the length, 3 smaller cubes on the width and 3 smaller cubes on the height.

Therefore, if you now have 150 of the smaller cubes, by factoring this you would have the following possibility;

\begin{gathered} 150=2\times3\times5\times5 \\ 150=6\times5\times5 \end{gathered}

This means you would have one side (length) 6 cubes, on another side (width) 5 cubes and on the third side (height) 5 cubes.

That means with 150 smaller cubes you could make a cube with the dimensions,

\begin{gathered} \text{Length}=6\operatorname{cm} \\ \text{Width}=5\operatorname{cm} \\ \text{Height}=5\operatorname{cm} \end{gathered}

ANSWER:

The largest big cube you could make would be a 6 cm by 5 cm by 5cm big cube

6 0
1 year ago
10. Jack and Dion sold a total of 33 appliances for their store. Dion sold 3 less than twice as
podryga [215]

Let x = amount of appliances Jack sold

Let y = amount of appliances Dion sold.

We need to construct a system of equations to solve this problem

33 = x + y

y = 2x - 3.

Let's solve this system of equations by substitution.

33 = x + (2x - 3). Combine like terms.

33 = 3x - 3. Add 3 to both sides.

36 = 3x. Divide both sides by 3

12 = x. Plug this value into one of our original equations.

33 = 12 + y.  Subtract 12 from both sides

y = 21

Jack sold 12 appliances and Dion sold 21 appliances.

8 0
3 years ago
A VERTICAL line passes through the point (4, 5). Find an equation for this line.
Eduardwww [97]

Answer:

A

Step-by-step explanation:

slope of a vertical line is undefined

the equation is x= 4

6 0
3 years ago
Marcus bought he used 50% on tickets on rides and 1/4 of the tickets on video games and the rest of the tickets in the batting c
GalinKa [24]

Answer:

Therefore Marcus is incorrect.

Step-by-step explanation:

Total ticket that Marcus bought= 100%.

Marcus used 50% of ticket on rides.

and he used  \frac{1}{4} of the tickets on the video games.

The percentage form of any number x is

=100\times x \%

The percentage form of \frac{1}{4} is

=\frac{1\times  100}{4} \%

=25%

Therefore rest tickets are

=Total ticket-( ticket used in rides + ticket used in video games)

=100% - (50%+25%)

=100% - 75%

=25%

Therefore he used 25% of tickets in batting cage.

But he said that Marcus said that he used 24% of ticket in batting cage.

Therefore Marcus is incorrect.

8 0
3 years ago
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