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SCORPION-xisa [38]

3 years ago

13

If the domain is {0, 2, -6}, what is the range of y = -2x + 3?

1 answer:

ZanzabumX [31]3 years ago

5 0

Answer:

{-1, 3, 15}

Step-by-step explanation:

Domain is the set of all inputs

Range is the set of all outputs

x = 0, y = -2(0)+3 = 3

x = 2, y = -2(2)+3 = -1

x = -6, y = -2(-6)+3 = 15

Range: {-1,3,15}

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Help please due tonight <br><br>50 points + brainliest

Leviafan [203]

Answer:

7. -37/36 or -1 1/36

8. -3/10

9. 1/24

10. -118/21 or -5 13/21

11. 97/12 or 8 1/12

12. 49/8 or 6 1/8

Step-by-step explanation:

To subtract fractions, they must have the same denominator. The common denominator will be the LCM (lowest common multiple) of the two denominators. Then, combine the fractions and simplify.

7. $-\frac{1}{4}-\frac{7}{9}$ Find a common denominator

$=-\frac{1*9}{4*9}-\frac{7*4}{9*4}$

$=-\frac{9}{36}-\frac{28}{36}$

$=\frac{-9-28}{36}$ Combine the fractions

$=\frac{-37}{36}$ Answer. Already in lowest terms.

$=-1\frac{1}{36}$ Keep a negative number. 37 goes into 36 one time, leaving 1 remainder (becomes numerator)

8. $\frac{3}{5}-\frac{9}{10}$ Find a common denominator

$=\frac{3*2}{5*2}-\frac{9}{10}$

$=\frac{6}{10}-\frac{9}{10}$

$=\frac{6-9}{10}$ Combine the fractions

$=\frac{-3}{10}$ Answer in simplest form.

9. $\frac{5}{8}-\frac{7}{12}$ Find common denominator

$=\frac{5*3}{8*3}-\frac{7*2}{12*2}$

$=\frac{15}{24}-\frac{14}{24}$

$=\frac{15-14}{24}$ Combine the fractions

$=\frac{1}{24}$ Answer in simplest form

10. $-1\frac{1}{3}-4\frac{2}{7}$ Translate to improper fraction

$=-\frac{4}{3}-\frac{30}{7}$ Multiplied each whole number with base, added to numerator

$=-\frac{28}{21}-\frac{90}{21}$ Found common denominator

$=\frac{-28-90}{21}$ Combined fractions

$=\frac{-118}{21}$ Answer in improper form

$=-5\frac{13}{21}$ Answer as a mixed number

11. $5\frac{5}{6}-(-2\frac{1}{4})$ Convert to improper fraction

$\frac{35}{6}-(-\frac{9}{4})$ Two minuses make a plus

$=\frac{35}{6}+\frac{9}{4}$ Find common denominator

$=\frac{35*2}{6*2}+\frac{9*3}{4*3}$

$=\frac{70}{12}+\frac{27}{12}$

$=\frac{70+27}{12}$ Combined fractions

$=\frac{97}{12}$ Answer as improper fraction

$=8\frac{1}{12}$ Answer as mixed fraction

12. $12\frac{1}{2}-6\frac{3}{8}$ Convert to improper fraction

$\frac{25}{2}-\frac{51}{8}$

$\frac{25*4}{2*4}-\frac{51}{8}$ Find common denominator

$\frac{100}{8}-\frac{51}{8}$

$\frac{100-51}{8}$ Combined fractions

$\frac{49}{8}$ Answer as improper fraction

$8\frac{1}{8}$ Answer as mixed number

5 0

3 years ago

For what value of a does 9=1/27a-3

USPshnik [31]

Answer:

a = 324

Step-by-step explanation:

9=1/27 a -3

value of a = ?

9=(1/27) a -3

9 + 3 = (1/27) a

12 = (1/27) a

12 x 27 = a

a = 324

6 0

3 years ago

The area of a rectangle is 120cm and its length is 12cm .Calculate the width of the rectangle

morpeh [17]

Answer: 120 / 20 = 10 width

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

A bank advertises that it compounds money quarterly and that it will take Double your money in 10 years. what is the interest-ra

S_A_V [24]

The interest rate is 6.992%, if a bank advertises that it compounds money quarterly and that it will take Double your money in 10 years.

Step-by-step explanation:

The given is,

Compounds money quarterly

Double your money in 10 years

Step:1

Formula to calculate future investment with compounded quarterly,

$A =P(1+\frac{r}{n} )^{nt}$ ...............................(1)

Where, A - Future amount

P - Initial investment\

r - Rate of interest

n - No. of compounding in a year

t - No. of years

Step:2

Let, P = X

A = 2X ( Double your money )

From given, n - 4 ( for compounding quarterly )

t - 10 years

From equation (1)

$2X =X(1+\frac{r}{4} )^{(4)(10)}$

$\frac{2X}{X} =(1+\frac{r}{4} )^{(4)(10)}$

$2 =(1+\frac{r}{4} )^{40}$

Take root $40^{th}$ root on both side,

$\sqrt[40]{2} = (1+\frac{r}{4} )$

$1.017479692 = (\frac{4+r}{4} )$

$(1.017479692)(4) = (r+4)$

$4.06992=(r+4)$

$r = 4.06992 -4$

$r =( 0.06992)(100)$

r = 6.992 %

Result:

The interest rate is 6.992%, if a bank advertises that it compounds money quarterly and that it will take Double your money in 10 years.

3 0

3 years ago

Help please. Which point is shown in the graph

max2010maxim [7]

A. (-3,0) thats the answer i have

7 0

3 years ago

Read 2 more answers