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rusak2 [61]
3 years ago
8

The table below gives input and output values for the function h(x) = a^x.

Mathematics
1 answer:
masha68 [24]3 years ago
6 0

Answer:

It's the first one.

hope it helps :)

Step-by-step explanation:

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A cell phone plan costs $39 a month. The plan includes 2 gigabytes (GB) of free data and
DerKrebs [107]

a) C(0.5) = 39,  C(2)  =  39,  C(4)  =  69

b) Answers in part (a) represents the values of C at x = x₀

c) C(x) is continuous at x = 2

C (x) = 39 for 0 ⩽ x ⩽ 2

Since x = 0.5 is in the range 0 ⩽ x ⩽ 2:

C(0.5)  =  39

Since x = 2 is in the range 0 ⩽ x ⩽ 2

C(2)  =  39

Since x = 4 is in the range x  >  2

C(4) = 39 + 15(x - 2)

C(4) = 39  +  15 (4 - 2)

C(4)  =  39  +  15(2)

C(4)  =  39  +  30

C(4)  =  69

b) The answers in part A represents C(x). That is, the values of C at x = x₀

c) Is C(x) continuous at x = 2

C(2)   =  39

\lim_{x \to 2} C(x) = 39

Since \lim_{x \to 2} C(x) = C(2), the function C(x) is continuous at x = 2

Learn more here: brainly.com/question/20710468

4 0
2 years ago
Let f(x) = x ^ 2 and g(x) = x - 3 . Evaluate (g?f)(0).
nignag [31]

Answer:

g(f(0))=-3

Step-by-step explanation:

we have

f(x)=x^{2}

g(x)=x-3

we know that

(g o f)(x)=g(f(x))

substitute the variable x in the function g(x) by the function f(x)

so

g(f(x))=x^{2}-3

Evaluate g(f(0))

For x=0

g(f(0))=0^{2}-3

g(f(0))=-3

5 0
3 years ago
Write the equation of the line that passes through the given lines (0,-2) and (4,1)
Gala2k [10]

Answer:

y = 3/4x - 2

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

Slope Formula: m=\frac{y_2-y_1}{x_2-x_1}

Step 1: Define

(0, -2) y-intercept

(4, 1) random point

Step 2: Find slope <em>m</em>

<em />m=\frac{1-(-2)}{4-0}<em />

<em />m=\frac{1+2}{4}<em />

<em />m=\frac{3}{4}<em />

y = 3/4x + b

Step 3: Write linear equation

y = 3/4x - 2

7 0
3 years ago
Salem wants to create a table of ratios that are equivalent to 2/3
aleksley [76]

Answer:

2/3 would be equal to 4/6, not 5/6.4/5 can't be equivalent to 2/3 either.

Step-by-step explanation:

7 0
3 years ago
Estimate the difference using front-end estimation.<br> 987.12 - 342.5
lukranit [14]
987-343= 644

Not rounded is 644.62
7 0
3 years ago
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