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OlgaM077 [116]
3 years ago
11

The table represents the function f(x). If g(x) = -(x + 1)^2 - 10, which statement is true?

Mathematics
1 answer:
miskamm [114]3 years ago
5 0

Answer:

Answer C is correct.

Step-by-step explanation:

f(x) clearly has a maximum:  y = +10 at x = 0.

Analyzing g(x) = -(x + 1)^2 - 10, we see that the vertex is at (-1, -10), and that the graph opens down.  Thus, -10 is the maximum value; it occurs at x = -1.

Answer A is false.  Both functions have max values.

Answer B is false.  One max is y = 10 and the other is y = -10.

Answer C is correct.  The max value of f(x), which is 10, is greater than the max value of g(x), which is -10.

Answer D is false.  See Answer B, above.

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Solve the inequality t/4>7
Alexus [3.1K]

Answer:

t>28

Step-by-step explanation:

t/4>7

t>4×7=28

4 0
3 years ago
Read 2 more answers
Write the sum using summation notation, assuming the suggested pattern continues.
Lina20 [59]

<u>ANSWER</u>

\sum _{n = 1} ^{18} (6n - 15)

<u>EXPLANATION</u>

The given series

- 9 - 3 + 3 + 9 + ... + 81

This is an arithmetic series with a common difference of

d =  - 3 -  - 9 = 6

The first term of the series is:

a_1 =  - 9

The general term is given by:

a_n =a_1 + d(n - 1)

a_n = - 9+ 6(n - 1)

a_n = - 9+ 6n - 6

a_n =6n - 15

The last term is 81

We can use this to determine the number of terms in the series.

81=6n - 15

81 + 15=6n

6n = 96

n =  \frac{96}{6}  = 16

The summation notation is:

\sum _{n = 1} ^{18} (6n - 15)

4 0
3 years ago
Please help me with math
never [62]
D is most likely the answer.

Hope this Helped!

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6 0
3 years ago
How many solutions does 6x^2+40=-31x have?
scZoUnD [109]
I believe that it is D.
8 0
3 years ago
While on a road trip, Steve drove 300 miles in 5 hours. After stopping for gas, he drove an additional 120 miles in 2 hours. Doe
bija089 [108]

Answer:

The given situation is in direct variation.

The dependent variable is the distance covered and the independent variable is the number of hours.                

Step-by-step explanation:

We are given the following information in the question:

Steve drove 300 miles in 5 hours.

After stopping for gas, he drove an additional 120 miles in 2 hours.

We calculate the ratios and if these ratios are equal then, we can say that the situation represent a direct variation.

For direct variation, the equation is of the form y = kx that is , we can write,

\displaystyle\frac{y}{x} = k

To check the ratio:

\displaystyle\frac{300}{5} = \frac{300+120}{5+2} =\frac{420}{7} = 60

Thus, the given situation is in direct variation.

The dependent variable is the distance covered and the independent variable is the number of hours.

3 0
3 years ago
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