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Elden [556K]
4 years ago
12

Let f(x) = 8x - 3 What is f(5)?

Mathematics
1 answer:
zalisa [80]4 years ago
6 0

Answer:

37

Step-by-step explanation:

To find the answer to this equation, we need to substitute 5 into where x is in the original equation.

f(x) = 8x-3

f(5) = 8(5)-3

f(5)= 40-3

f(5)= 37

and that's it! no further simplifying.

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15 pts the cost of 5 cartons of fresh ice cream is $8.75 what is the cost of 11 such cartons
sergeinik [125]
The answer’s C) 19.25
8 0
3 years ago
How do you solve x-6>7=
alexandr402 [8]

By subtracting and

Dividing

4 0
3 years ago
Find the distance CD rounded to the nearest tenth<br> C=(10,-1) and D=(-6,3)
Fynjy0 [20]

Answer:

CD = 16.5

Step-by-step explanation:

To find the distance between two points, use this formula: L = \sqrt{(x_{2} -x_{1})^{2}+(y_{2} -y_{1})^{2} }

point C can be info set 1: (10, -1)    x₁ = 10   y₁ = -1

point D can be info set 2: (-6, 3)    x₂ = -6  y₂ = 3

Substitute the information into the formula

L = \sqrt{(x_{2} -x_{1})^{2}+(y_{2} -y_{1})^{2} }

CD = \sqrt{(-6 -10)^{2}+(3 -(-1))^{2} }    Simplify inside each bracket

CD = \sqrt{(-16)^{2}+(4)^{2} }    Square the numbers

CD = \sqrt{256+16 }     Add inside the root

CD = \sqrt{272}    Enter into calculator

CD = 16.5  Rounded to the nearest tenth, the first decimal

The distance CD is 16.5.

4 0
4 years ago
A population of bacteria is initially 6000. After three hours the population is 3000. If this rate of decay continues, find the
serious [3.7K]

Answer:

The equation is A=6000e^{-0.23t}  at a rate of -23%.

Step-by-step explanation:

Decay can be represented by the equation A=A_0e^{rt}. We can find the rate at which it decays by using t=3 hours and A=3000. This means A_0=6000 in this context.

A=A_0e^{rt}\\3000=6000e^{r(3)}

0.5=e^{(24.5)r}

After substituting, we divided by 6000 to each side to get 0.5 on the left. Now to solve for r, we will take the natural log of both sides and use log rules to isolate r.

ln 0.5=ln e^{(3)r}\\ln 0.5=3r (ln e)\\\frac{ln0.5}{3} =r

We know lne=1 so we were able to cancel it out and divide both sides by 3.

We solve with a calculator \frac{ln0.5}{3} =r\\-0.23=r

We change -0.23 into a percent by multiplying by 100 to get -23% as the rate.

The equation is A=6000e^{-0.23t}


5 0
3 years ago
What is the value of <img src="https://tex.z-dn.net/?f=%5Cfrac%7B81%5E4%7D%7B3%5E5%7D" id="TexFormula1" title="\frac{81^4}{3^5}"
IRISSAK [1]

Answer:3^1^1\\

Step-by-step explanation:

\frac{81^4}{3^5}

\frac{3^1^6}{3^5}

The base is same power can be add or subtract

3^1^6^-^5

3^1^1

5 0
3 years ago
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