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3 years ago

If the function 5x + y = 1 has the domain {-2, 1, 6}, then what is the corresponding range?

Mathematics

2 answers:

inysia [295]3 years ago

6 0

Answer:

{ 11, -4, -29}

Step-by-step explanation:

5(-2) + y = 1

-10 + y = 1

y = 11

5(1) + y = 1

y = -4

5(6) + y = 1

30 + y = 1

y = -29

hammer [34]3 years ago

3 0

Answer:

The Range is the set: { -29, -4, 11 }

Step-by-step explanation:

You need to apply the given function to the x-values of the Domain, to find what values of the Range they are associated with. So let's start by isolating y on one side of the expression:

y = 1 - 5 x

Now let's find what values they result when x = -2, 1, and 6:

y = 1 - 5 (-2) = 1 + 10 = 11

y = 1 - 5 (1) = 1 - 5 = -4

y = 1 - 5 (6) = 1 - 30 = -29

Therefore the Range is the set: { -29, -4, 11 }

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Consider the region bounded by 4y=x^2 and 2y=x.

gayaneshka [121]

Answer:

a) ⅓ units²

b) 4/15 pi units³

c) 2/3 pi units³

Step-by-step explanation:

4y = x²

2y = x

4y = (2y)²

4y = 4y²

4y² - 4y = 0

y(y-1) = 0

y = 0, 1

x = 0, 2

Area

Integrate: x²/4 - x/2

From 0 to 2

(x³/12 - x²/4)

(8/12 - 4/4) - 0

= -⅓

Area = ⅓

Volume:

Squares and then integrate

Integrate: [x²/4]² - [x/2]²

Integrate: x⁴/16 - x²/4

x⁵/80 - x³/12

Limits 0 to 2

(2⁵/80 - 2³/12) - 0

-4/15

Volume = 4/15 pi

About the x-axis

x² = 4y

x² = 4y²

Integrate the difference

Integrate: 4y² - 4y

4y³/3 - 2y²

Limits 0 to 1

(4/3 - 2) - 0

-2/3

Volume = ⅔ pi

7 0

3 years ago

Three point zero one divided by seven

vivado [14]

The answer is zero point four three

You could also write this answer as 0.43

7 0

3 years ago

There are 24 girls on the track team. First race2/3 girl ran.only1/4 girl ran in second race. 1/6 on third race. Hiw many more g

alukav5142 [94]

Answer:

10 more girls

Step-by-step explanation:

So here 2/3 of 24 ran for first race

Then it gives us that 16 girls ran for first race.

Next, 1/4 of 24 ran for second race

That is 6 girls

The remaining girls ran for the third race,

24 - 22

2 girls

16 - 6 = 10

So for first race 10 more girls ran

5 0

3 years ago

-u≥4−u≥4 true. Then write an equalivalent inequality, in terms of uu. (Numbers written in order from least to greatest going acr

ziro4ka [17]

Answer:

$(a)\ u \le -4$

$(b)\ u =\{-\infty,.....,-6,-5,-4\}$

Step-by-step explanation:

Given

$-u \ge 4$

Solving (a): An equivalent inequality

We have:

$-u \ge 4$

Multiply both sides by -1 (this changes the inequality)

$-u*-1 \le 4 * -1$

$u \le -4$

Solving (b): Values of u from least to greatest

$u \le -4$ implies that u ends at -4, starting from negative infinity

So, the list is:

$u =\{-\infty,.....,-6,-5,-4\}$

8 0

3 years ago

Which expression is equivalent to 20c - 8d?

bagirrra123 [75]

C.

if you multiply the 4 on each numbers inside of the parentheses then you’ll get ‘20c-8d’

6 0

3 years ago