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3 years ago

2. Which ordered pair satisfies the system of equations below?

Mathematics

1 answer:

DENIUS [597]3 years ago

4 0

Answer:

3. (2.5,-0.5)

Step-by-step explanation:

3(2.5)-(-0.5)=8

7.5-(-0.5)=8

8=8

2.5+(-0.5)=2

2=2

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17+ x/6 what is the answer

irga5000 [103]

Answer:

x=-11

Step-by-step explanation:

17+x/6=0

17+x=6

x=-11

3 0

3 years ago

Ya'll fr get 50 points if you answer this. 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 does not have a constant rate of change. 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

the sales tax for an item was $30.10 and it cost $430 before tax. find the sale tax rate. write your answer as a percentage.

timurjin [86]

To find a percentage of a number, multiply by the decimal form of that percentage(20%=0.20). So, take the cost, $430, and multiply by common state sales tax (7% for me)---430 x 0.07 = 30.10 The sale tax rate is 7%.

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3 years ago

Brad worked 40 hours last week and earned $394. What was Brad's hourly pay in dollars and cents?

ZanzabumX [31]

Brad's pay is $9.85 per hour

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3 years ago

Read 2 more answers

CAN SOMEONE HELP ME ANSWER THIS

jeka57 [31]

Answer:

It is 1/6