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3 years ago

When you would measure capacity in each unit.

Mathematics

1 answer:

konstantin123 [22]3 years ago

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What are the solutions to the absolute value inequality |x − 70| ≤ 3? Remember, the inequality can be written as −3 ≤ x − 70 ≤ 3

ikadub [295]

Answer:

solutions to the absolute value inequality is $67\leq x\leq 73$

Step-by-step explanation:

To find the solution of x absolute value of |x − 70| ≤ 3 will be written in the form of interval because the given fraction (x-70) is less than and equal to 3.

$-3\leq(x-70)\leq 3$

Now we add 70 on every part of the inequality.

$-3+70\leq (x-70)+70\leq 3+70$

$67\leq x\leq 73$

So the solution to the absolute value inequality is $67\leq x\leq 73$ .

5 0

3 years ago

Read 2 more answers

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Sauron [17]

Answer:

$g(-2)=8$

Step-by-step explanation:

We just need to evaluate the function at -2.

The function is:

$g(x)=x^{2}-2x$

Therefore, g(-2) will be:

$g(-2)=(-2)^{2}-2(-2)$

$g(-2)=4+4$

$g(-2)=8$

I hope it helps you!

7 0

3 years ago

You invested a total of $9,000 at 4 1/2 % and 5% simple interest. During one year, the two accounts earned $435. How much did yo

KonstantinChe [14]

Answer:

The amount invested at 4.5% was $\$3,000$

The amount invested at 5% was $\$6,000$

Step-by-step explanation:

we know that

The simple interest formula is equal to

$I=P(rt)$

where

I is the Final Interest Value

P is the Principal amount of money to be invested

r is the rate of interest

t is Number of Time Periods

Let

x -----> the amount invested at 4.5%

9,000-x -----> the amount invested at 5%

in this problem we have

$t=1\ year\\ P1=\$x\\ P2=\$(9,000-x)\\I=\$435\\r1=0.045\\r2=0.05$

substitute

$435=x(0.045*1)+(9,000-x)(0.05*1)$

$435=0.045x+450-0.05x$

$0.05x-0.045x=450-435$

$0.005x=15$

$x=\$3,000$

$9,000-x=\$6,000$

therefore

The amount invested at 4.5% was $\$3,000$

The amount invested at 5% was $\$6,000$

5 0

4 years ago

A rectangle has dimensions 3x-1 and x+6. Write an expression for the area of the rectangle as a polynomial in standard form

WITCHER [35]

Answer:

the area product is simply (3x+5).(x+7 which can multiply if desired to obtain highlight3x/2+ 26x + 35.

You can use Completion of the Square on the trinomial product to put this trinomial into standard form. You would want this form to be like (x-h)2 +k.

7 0

3 years ago

Svet_ta [14]

Answer: The answer is C on edg.

Step-by-step explanation: I got it right

3 0

3 years ago