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3 years ago

10

Okay so, “Lynn multiplied a number by 8, and then subtracted 35 from the product. The result was 21. Write an equation to find t

he original number, n. Then solve for n.

1 answer:

Serhud [2]3 years ago

7 0

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5. Using complete sentences, explain how to find the average rate of change for f(x) from x = 4 to x = 7. my equation is F(x) =

Alik [6]

The average rate of change of function describes the average rate at which y-value ( or f(x)) is changing with respect to changing x-value.
The average rate of change= $\frac{ y_{1}- y_{2} }{ x_{1} - x_{2} }$ In this exaple is x1=4 and x2=7 and we will find y1 and y2:
y1=3(4-3)²+4=3*1+4=7
y2=3(7-3)²+4=3*16+4=48+4=52
Finally: $\frac{52-7}{7-4}= \frac{45}{3} =15$
Answer: The average rate of change for f(x) from x=4 to x=7 is 15.

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3 years ago

Are the following expression equivalent? Please show your work 3xy^2/4y and 6xy^2/8xy

Daniel [21]

No because the second one have an x on the denominator, but the first one doesn't

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3 years ago

Liquidity refers to the degree of readiness of conversion of an asset into cash. True or false

alexira [117]

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5 0

3 years ago

Read 2 more answers

What is the value of k if √10 * k + 3 = 5?

Fittoniya [83]

Answer:

See explanation

Step-by-step explanation:

We want to find the value of k in

$\sqrt{10k} + 3 = 5$

We subtract 3 from both sides;

$\sqrt{10k} = 5 - 3$

Simplify on the right;

$\sqrt{10k} = 2$

Square both sides;

$10k = 4$

$k = 0.4$

If your equation in actually

$\sqrt{10k + 3} = 5$

Square both sides:

$10k + 3 = 25$

$10k = 22$

$k = 2.2$

7 0

3 years ago

Solve for x and y please!

galina1969 [7]

Answer:

$x = 8$

$y=2\sqrt{3}$

Step-by-step explanation:

The figure is composed of 3 Right triangles. To find the values of the variables x and y we use the Pythagorean theorem to propose one equation.

$x^2 =4^2 + (4\sqrt{3})^2$

Now we solve for x

$x=\sqrt{4^2 + (4\sqrt{3})^2}$

$x=\sqrt{16 +16*3}\\\\x=\sqrt{64}\\\\x=8$

Let's call z at the angle opposite to y

Then we have that:

$sin(z) =\frac{opposite}{hypotenuse}$

Where

$hypotenuse = 8$

$opposite=4$

$sin(z) =\frac{4}{8}$

$z=sin^{-1}(\frac{1}{2})$

$z=30$

Now we use this angle to find the length y

$sin(z) =\frac{opposite}{hypotenuse}$

Where in this case

$hypotenuse = 4\sqrt{3}$

$opposite=y$

$z=\°30$

$sin(30\°) =\frac{y}{4\sqrt{3}}$

$y=sin(30\°)*4\sqrt{3}$

$y=2\sqrt{3}$

6 0

3 years ago