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3 years ago

For y=2/3 x-2 what is the range of this function where the domain is 3 to 12

Mathematics

1 answer:

Olin [163]3 years ago

5 0

Answer:

Range = {0,2/3,1 1/3, 2, ...}

Step-by-step explanation:

The range is the output so the y values, when x = 3 then

y = $\frac{2}{3}$ (3) - 2 so y = 0

y = $\frac{2}{3}$ (4) - 2 so 8/3 - 6/3 is 2/3 so y = 2/3

y = $\frac{2}{3}$ (5) - 2 so 10/3 - 6/3 is 4/3 so y = 4/3 or 1 1/3

y = $\frac{2}{3}$ (6) - 2 so 12/3 - 6/3 is 6/3 so y = 2 and so on....

Now you try the rest

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Pumps A, B, and C operate at their respective constant rates. Pumps A and B, operating simultaneously, can fill a certain tank i

shepuryov [24]

Answer:D) 1 hr

Step-by-step explanation:

Given

Pump A and B can fill tank in $\frac{6}{5} hr$

Pump A and C can fill tank in $\frac{3}{2} hr$

Pump B and C can fill tank in $2 hr$

Let A be the total hr taken A therefore rate of $A=\frac{1}{A} /hr$

Let B be the total hr taken B therefore rate of $B=\frac{1}{B} /hr$

Let C be the total hr taken C therefore rate of $C=\frac{1}{C} /hr$

$\frac{1}{A}+\frac{1}{B}=\frac{5}{6}$ -----1

$\frac{1}{B}+\frac{1}{C}=\frac{1}{2}$ -----2

$\frac{1}{A}+\frac{1}{C}=\frac{2}{3}$ -----3

Adding 1,2 & 3

$2(\frac{1}{A}+\frac{1}{B}+\frac{1}{C})=\frac{5}{6}+\frac{1}{2}+\frac{2}{3}$

$\frac{1}{A}+\frac{1}{B}+\frac{1}{C}=\frac{2}{2}$

$\frac{1}{A}+\frac{1}{B}+\frac{1}{C}=1$

thus time taken by A,B and C combined is 1 hr

7 0

3 years ago

You have a credit card with a balance of $2,856.74 at a 14.75% APR. You decide to put $629.63/month toward reducing your debt. H

Elenna [48]

629.63*0.1475/12=7.74

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3 years ago

Read 2 more answers

What is 7 times the sum of a squared and b minus 4 times the sum of a squared and b

spayn [35]

<span><span>The sum of a squared and b is given by
$a^2+b$

</span>7 times the sum of a squared and b is given by
</span><span> $7(a^2+b)$
while 4 times the sum of a squared and b is given by
</span> $4(a^2+b)$

Therefore, <span>7 times the sum of a squared and b minus 4 times the sum of a squared and b is given by

$7(a^2+b)-4(a^2+b)=3(a^2+b)$ </span>

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3 years ago

BD bisects /ABC. Find the value of x.

creativ13 [48]

Answer:

DO u have a pic I could see for ABC

Step-by-step explanation:

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3 years ago

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Lake has a total of $10,000 to invest in two accounts. One account earns 1% simple interest, and the other earns 10% simple inte

Elza [17]

Answer:

$8000 at 1%
$2000 at 10%

Step-by-step explanation:

It often works well to let a variable represent the amount invested at the higher rate. Then an equation can be written relating amounts invested to the total interest earned.

<h3>setup</h3>

Let x represent the amount invested at 10%. Then 10000-x is the amount invested at 1%. The total interest earned is ...

0.10x +0.01(10000 -x) = 280

<h3>solution</h3>

Simplifying gives ...

0.09x +100 = 280

0.09x = 180 . . . . . . . subtract 100

x = 2000 . . . . . . divide by 0.09

10000 -x = 8000 . . . . amount invested at 1%

$8000 should be invested in the 1% account

$2000 should be invested in the 10% account

5 0

2 years ago