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2 years ago

Reduce the following expression: (a-b) / (b-a)

Mathematics

1 answer:

Lynna [10]2 years ago

4 0

Answer:

Simplify —————

b - a

1.1 Rewrite (b-a) as (-1) • (a-b)

Canceling Out :

1.2 Cancel out (a-b) which now appears on both sides of the fraction line.

Final result :

-1

Step-by-step explanation:

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Elizabith uses 23.25 ounces of granola and 10.5 ounces of raisins for 15 servings of tril mix if each serving contains the same

d1i1m1o1n [39]

1.55 ounces of granola and 0.7 ounces of raisins in each serving

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2 years ago

A storage tank has A circumference Of 200 meters what is the area of the base of the tank

lorasvet [3.4K]

Circumference = 2 pi r

2 pi r = 200

r = 100 / pi

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Area of base = 3183.1 sq. m.

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3 years ago

Anyone know how to do this?

Lera25 [3.4K]

Answer:

Part A) 25

Part B) 225

Step-by-step explanation:

Part A

The slope of the graph gives us the mile per gallon of the car.

Recall that the slope of the graph is rise over run.

$m = \frac{200}{8} = 25$

Therefore car gets 25 miles per gallon

Part B) Since we know the slope of the direct variation line, we substitute into y=kx to get:

$y = 25x$

To find the number of miles the car travels using 9 gallons, we substitute x=9 to get:

$y = 25 \times 9$

This gives us 225 miles

8 0

2 years ago

Let f(x) = 1/x . Find the number b such that the average rate of change of f on the interval [2, b] is − 1/8

vekshin1

Answer:

b=4

Step-by-step explanation:

So, we have the function $f(x)=1/x$ . We need to find b such that the average rate of change or the slope is -1/8 between the intervel [2, b]. First, let's find f(2).

f(2) = 1/(2) = 1/2

So, we have the point (2, 1/2)

At point b, f(b) = 1/b.

Let's plug this into the slope formula:

$\frac{y_2-y_1}{x_2-x_1}=\frac{.5-\frac{1}{b} }{2-b} =-1/8$

Now, we just need to solve for b. First, let's multiply both the numerator and denominator by b (to get rid of the annoying fraction in the numerator).

$\frac{.5b-1}{2b-b^2} =\frac{-1}{8}$