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2 years ago

7

Write an equation in terms of x. Solve the equation. Then find AB and BC.

1 answer:

Wittaler [7]2 years ago

6 0

The answer is AB=7×+2

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Ya'll fr get 50 points if you answer this. <br> What is the rate of change of <img src="https://tex.z-dn.net/?f=f%28x%29%3D2%5Ex

Evgesh-ka [11]

Answer:

$\dfrac{dy}{dx}=2^x\ln 2$

Step-by-step explanation:

**This is a non-linear function and therefore <u>does not have a constant rate of change</u>. It will have a different slope depending on what points you use in the average rate of change formula: $\mathsf{average \ rate \ of \ change = \dfrac{change \ in \ y}{change \ in \ x}}$

To calculate rate of change, differentiate.

substitute y for $f(x)$ :

$\implies y=2^x$

Take natural logs of both sides:

$\implies \ln y=\ln 2^x$

Apply the log rule $\ln a^b=b \ln a$ :

$\implies \ln y=x\ln 2$

Differentiate with respect to $x$ :

$\implies \dfrac{1}{y} \frac{dy}{dx}=\ln 2$

Mulitply both sides by $y$ :

$\implies \dfrac{dy}{dx}=y\ln 2$

Replace $y$ with $y=2^x$

$\implies \dfrac{dy}{dx}=2^x\ln 2$

Therefore, rate of change of the function is :

$\dfrac{dy}{dx}=2^x\ln 2$

8 0

2 years ago

What is the prime factorization of 81m^2 x^3? A) 9^2 • m^2 • x^3 B) 3^3 • m^2 • x^3 C) 3^3 • m • x D) 3^4 • m^2 • x^3

Diano4ka-milaya [45]

$81m^2x^3=3^4\cdot m^2\cdot x^3\to\boxed{D.}$

8 0

3 years ago

A patient drinks 5 12ounce cups of coffee daily. The doctor recommends cutting back 60%, how many ounces of coffee can the patie

maksim [4K]

The patient is recommended to take 24 ounces of coffee per day.

<u>Step-by-step explanation:</u>

Patient normal intake of coffee daily = 5 times 12 ounces

= 5 × 12 = 60 ounces

Doctor recommends to cut off 60 % of the normal intake of coffee.

And advised to take only 40 % of the daily intake of coffee.

So 60 % of 60 ounces can be calculated as,

$$\frac{60 \times 60}{100}$ = 36 ounces

40 % of 60 ounces is 24 ounces.

So 60 - 36 = 24 ounces of coffee per day

6 0

2 years ago

Factor x^2+3xy+2y^2+4x+7y+3

Aleksandr-060686 [28]

3xy(x+4)(2y+7)(xy+1) is what I got

4 0

3 years ago

8t-9 is less than or equal to 79

sattari [20]

Answer:

t ≤ 11 (or all values 11 or less)

Step-by-step explanation:

8t - 9 ≤ 79

<em>So, I am assuming you are trying to find the value(s) of "t".</em>

Add 9 to both sides.

8t ≤ 88

Divide 8 by both sides.

t ≤ 11

ANSWER

t ≤ 11

8 0

3 years ago