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3 years ago

Solve and graph the absolute value inequality: |2x + 4| > 8

Mathematics

1 answer:

neonofarm [45]3 years ago

4 0

Answer:

Step-by-step explanation:

To get rid of the absolute value bars you have to get two different equations which would be 2x+4>-8 AND 2x+4>8. Pay attention to the signs, if there is greater than or equal to then it would have a line underneath the sign, which neither of the equations should have since you haven't moved a negative. solve normally and you'll get -6 blank circle and 2 blank circle.

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1/10 of 200 tables is

LiRa [457]

Of means multiplication in mathematics

$\frac{1}{10} \times 200 = 20$

Hope that helps :)

7 0

3 years ago

Read 2 more answers

Rectangle A is a scale drawing of Rectangle B and has 25% of its area. If rectangle A has side lengths of 4 cm and 5 cm , what a

SpyIntel [72]

Answer:

8 cm and 10 cm

Step-by-step explanation:

Hello, I can help you with this.

Step 1

According to the question there are two rectangles A and B,

Rectangle A is a scale drawing of Rectangle B and has 25% of its area

in other words

$Area_{A}=0.25*Area_{B} (Equation\ 1)\\$

Step 2

Let

Rectangle A

length (1)= 4 cm

length (2)= 5 cm

$Area_{A}=4\ cm * 5\ cm\\Area_{A}=20\ cm^{2}$

put this value into equation 1

$Area_{A}=0.25*Area_{B} (Equation\ 1)\\\\20\ cm^{2} =0.25*Area_{B} \\divide\ each\ side\ by\ 0.25\\\frac{20\ cm^{2} }{0.25}=\frac{0.25}{0.25}*Area_{B}\\ Area_{B}=80\ cm^{2}$

Now, we know the area of rectangle B, to know its length we need to formule other equation

Step 3

$Area_{B}=80\ cm^{2}\\length (1B)*length (2B)=80\ cm^{2} (equation\ 2)\\$

the ratio between the lengths must be constant, so the ratio of A must be equal to ratio in B, then

$\frac{length(1A)}{length(2A)}=\frac{length(1B)}{length(2B)} \\\\\\frac{4}{5}= \frac{length(1B)}{length(2B)}\\0.8=\frac{length(1B)}{length(2B)}\\length(1B)=0.8*length(2B) (Equation 3)$

Step three

using Eq 1 and Eq 2 find the lengths

put the value of length(1B) into equation (2)

$length (1B)*length (2B)=80\ cm^{2} (equation\ 2)\\\(0.8*length(2B)) (*length (2B)=80\ cm^{2} \\\\0.8*(length (2B))^{2} =80\ cm^{2}\\(length (2B))^{2} =\frac{80\ cm^{2}}{0.8} \\(length (2B))^{2}=100\\\sqrt{(length (2B))^{2}}=\sqrt{100\ cm^{2}} \\ length (2B)=10\ cm$

Now, put the value of length(2B) into equation 3 to know length (1B)

$length(1B)=0.8*length(2B)\\length(1B)=0.8*10\ cm\\length(1B)=8 cm$

I really hope this helps you, have a great day.

6 0

3 years ago

What is the equation to find area of a parallelogram

olchik [2.2K]

A=BH

Area = Base x the Hight

6 0

3 years ago

In a regular deck of cards, (52 cards) what is the probability of picking a face card?

vampirchik [111]

12
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8 0

3 years ago

16. Mum went shopping at the vegetable stand.

kondaur [170]

Good evening

Answer:

a) the cost of one apple is €0.9

b) the cost of one pineapple is €5.4

c) the cost of two pineapples and six apples is €16.2

Step-by-step explanation:

Consider P the price of a pineapple

A the price of an apple

A pineapple costs six times as much as an apple means P = 6A

Mum paid €7.20 for one pineapple and two apples means P + 2A = 7.20

then

6A + 2A = 7.20

then

8A = 7.20

then

A = €0.9

Since P = 6A then P = 6×(0.9) = €5.4

the cost of two pineapples and six apples

= 2P + 6A

= 2P + P

= 3P

= 3×(5.4)

= €16.2

7 0

3 years ago

Solve and graph the absolute value inequality: |2x + 4| > 8​

Solve and graph the absolute value inequality: |2x + 4| > 8