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3 years ago

Suppose that the functions u and w are defined as follows.

Mathematics

1 answer:

zhuklara [117]3 years ago

5 0

Answer:

- 3 and 3

Step-by-step explanation:

To evaluate (u ￮ w)(- 1), evaluate w(- 1) then use this value to evaluate u(x)

w(- 1) = (- 1)² + 2 = 1 + 2 = 3, then

u(3) = - 3

---------------------------------------------------

To evaluate (w ￮ u)(- 1), evaluate u(- 1) then use this value to evaluate w(x)

u( - 1) = - (- 1) = 1, then

w(1) = 1² + 2 = 1 + 2 = 3

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A cyclist rides his bike at a speed of 21miles per hour. What is this speed in miles per minute? How many miles will the cyclist

AveGali [126]

Answer:

.35 miles per minute

3.5 miles in 10 minutes

Step-by-step explanation:

21 ÷ 60= .35

.35 × 10 = 3.5

7 0

3 years ago

Please answer ASAP and if you do you will get Brainliest. Catherine buys a gallon of ice cream from the store. After taking it h

rodikova [14]

Answer:

Catherine's sister ate 2/15 gallons of the ice cream.

$\displaystyle \frac{2}{15}$ .

Step-by-step explanation:

Let $x$ be the amount of ice cream that Catherine's sister ate, in gallons.

Original amount: 1 gallon.

What Catherine ate: $\displaystyle \frac{1}{5}$ gallons.
What Catherine's sister ate is assumed to be $x$ gallons.

What's left: $\displaystyle \frac{2}{3}$ gallons.

Consider the relationship:

$\text{Original amount - What Catherine ate - What Catherine's Sister ate}\\ =\text{ What's left.}$ .

That is:

$\displaystyle 1- \frac{1}{5} - x = \frac{2}{3}$ .

Add $x$ to both sides of this equation:

$\displaystyle 1 - \frac{1}{5} = \frac{2}{3} +x$

Substract $\displaystyle \frac{2}{3}$ from both sides:

$\displaystyle 1 - \frac{1}{5} - \frac{2}{3} = x$ .

Convert the denominator of all three numbers on the left-hand side to $3 \times 5 = 15$

$\displaystyle \frac{15}{15} - \frac{3}{15} - \frac{10}{15} = x$ .

$\displaystyle x = \frac{2}{15}$ .

In other words, Catherine's sister ate $\displaystyle \frac{2}{15}$ gallons of the ice cream.

3 0

3 years ago

Read 2 more answers

Please answer them! be quick if you can, thank you.

fiasKO [112]

Answer:

Question one = 35a - 15

Question two = 9

Step-by-step explanation:

Distributive property means to multiply all the numbers inside the parenthesis

by the outside number. 5 x 7a equals 35a and 5 x 3 = 15.

35 x 9 - 315 - 15 = 300

A = 9

5 0

3 years ago

The sum of a number and 9 is multiplied by -2 and the answer is -8

nadya68 [22]

9(-2)+x=-8
And x would be positive 26

7 0

4 years ago

Which expression is equal to zero? 9 + (– 27) ÷ (– 3)

GrogVix [38]

Answer:

-27÷(-3)-9

Step-by-step explanation:

Hope this helps you.

4 0

3 years ago