How many subsets of exactly two elements does a set of five elements have?

What is the average rate of change for ƒ(x) = −3x + 79 over the interval 2 ≤ x ≤ 4?

Ainat [17]

Answer:

The average rate of change is -3.

Step-by-step explanation:

Given : Function $f(x)=-3x+79$ over the interval 2 ≤ x ≤ 4.

To find : What is the average rate of change ?

Solution :

Function $f(x)=-3x+79$ over [2,4]

The rate of change is the slope of the line,

So, $\text{Rate of change}=\frac{f(4)-f(2)}{4-2}$

$f(4)=-3(4)+79$

$f(4)=-12+79$

$f(4)=67$

$f(2)=-3(2)+79$

$f(2)=-6+79$

$f(2)=73$

Substitute,

$\text{Rate of change}=\frac{67-73}{4-2}$

$\text{Rate of change}=\frac{-6}{2}$

$\text{Rate of change}=-3$

Therefore, The average rate of change is -3.

8 0

3 years ago

Read 2 more answers

Evaluate k to the 6th power times p to the -7 power when k is 2 and p is -1

Solnce55 [7]

$\bf ~~~~~~~~~~~~\textit{negative exponents}
\\\\
a^{-n} \implies \cfrac{1}{a^n}
\qquad \qquad
\cfrac{1}{a^n}\implies a^{-n}
\qquad \qquad a^n\implies \cfrac{1}{a^{-n}}
\\\\[-0.35em]
\rule{34em}{0.25pt}\\\\
k^6p^{-7}~~
\begin{cases}
k=2\\
p=-1
\end{cases}\implies (2)^6(-1)^{-7}\implies \cfrac{2^6}{(-1)^7}\implies \cfrac{64}{-1}\implies -64$

7 0

4 years ago

Two cones are similar. The volume of the larger cone is 27 cm³ and the volume of the smaller cone is 8 cm³. The height of the sm

EastWind [94]

The height of larger will be 3 cm
As,
= ∛8 cm³ * 27 cm³ / (2 cm) ³
= 3cm

8 0

3 years ago

Tara has a balance of -$25.36 in her checking account. Tara takes a deposit to the bank in the amount of $25.36.

polet [3.4K]

Answer:

C. $0 because $25.36 and -$25.36 are additive inverses.

Step-by-step explanation:

Additive inverses means 2 numbers that are the complete opposite.

When additive inverses are added together, their sum is 0.

Example: 1 and -1.

They're both additive inverses because they're on the opposite sides on the number line, if -1 had to be a positive, it wouldn't be an inverse.

<u>Given:</u>

Before the deposit, her bank account balance is -25.36.
She has deposited $25.36 into her bank account.

<u>Solve:</u>

Let's add both -25.36 and 25.36.

-25.36 + 25.36 = 0.

C. is the correct choice, and the reasoning is valid.

3 0

3 years ago

A freezer was sold during a clearance sale sale for $387.50. If the freezer was sold at a discount of 50/3%, what was the list p

telo118 [61]

Answer:

$465

Step-by-step explanation:

100 - 50/3 = 250/3

250/3 ÷ 100 = 5/6

$387.50 ÷ 5/6 = $465

6 0

3 years ago