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3 years ago

Martha states that -6 is a rational number. Which is a correct explanation for this statement ?

1 answer:

4 0

Martha is indeed right when she states that -6 is a rational number. Just like the name implies, a rational number is a number that can be written as a/b with b not equal to 0. Since -6 can be written as -6/1, and since that is a ratio, that is why -6 is a rational number.

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A cell phone plan has a monthly cost that is shown in the table below. What is the correct statement regarding the average rate

jek_recluse [69]

We can use the first and the last point of the table to find the average rate of change during the 40-minute talk time.

At t=0, the charges are $ 9.95
at t=40, the charges are $12.75

Average rate of change from t=0 to t=40 can be calculated as:

$\frac{12.75-9.95}{40-0} =0.07$

This means, the average rate of change is $0.07, meaning that for each minute of talk time, the monthly bill increases by $0.07. (Option B)

8 0

3 years ago

The team mascot shoots a rolled T-shirt from a special T-shirt cannon to a section of people in the stands at a basketball game.

zzz [600]

<span> These are the main data: the T-shirt starts at a height of 8 feet when it leaves the cannon and 1 second later reaches a maximum height of 24 feet

</span>
So, f(0) = 8 feet and f(1) = 24 feet

That means, that you can evaluate the functions at t = 0 and t = 1 to see which represents those two points, (0, 8) and (1, 24).

A: f(t) = –16(t – 1)^2 + 24

t = 0 => f(0) = - 16 (0 – 1) ^2 + 24 = -16 + 24 = 8 => This is Ok.

t =1 => f(1) = - 16 (1 – 1)^2 + 24 = 0 + 24 => This is Ok.

t = 0 => f(0) = -16 (0 + 1)^2 + 24 = - 16 + 24 = 8 => this is Ok

t = 1 => f(1) = -16 (1 + 1)^2 + 24 = -16(4) + 24 = - 64 + 24 = - 40 => Wrong

t = 0 => f(0) = -16 (0 – 1)^2 - 24 = -16 – 24 = - 40 => Wrong

t = 0 => f(0) = - 16 (0 + 1)^2 – 24 = -16 – 24 = - 40 => Wrong

With tha we have obtained that the answer is the option A.

6 0

3 years ago

Read 2 more answers

Help!!!! Simplify root 63x^3 times 2root 8x

gulaghasi [49]

Answer:

12\sqrt{14}x^2 (see photo)

Step-by-step explanation:

8 0

3 years ago

Include sales tax 6% an inn charges $265 per night. find the cost before taxes

Art [367]

6%=.06
$265.00*.06=$15.90
$265.00-$15.90=$249.10

7 0

3 years ago

Write the equation of the line that passes through the given points.<br> (0.-6) and (7.0)

ahrayia [7]

<h2>Answer: y = ⁶/₇ ( x - 7 )</h2>

Step-by-step explanation:

The slope of tghe line (m) = (y₂ - y₁) ÷ (x₂ - x₁)

= (- 6 -0) ÷ ( 0 - 7)

= ⁶/₇

We can now use the point-slope form to write the equation for this line:

y - y₁ = m(x - x₁) where (x₁ , y₁) = (7 , 0)

y = ⁶/₇ ( x - 7 )

6 0

3 years ago