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2 years ago

What is the solution set to the inequality 5(x – 2)(x + 4) > 0?

Mathematics

2 answers:

ankoles [38]2 years ago

8 0

Answer:

Step-by-step explanation:

The Answer is {x| x <-4 or x> 2}

AlekseyPX2 years ago

5 0

Answer:

(-∞,4) U (2,∞)

Step-by-step explanation:

5(x – 2)(x + 4) > 0

to solve this inequality , first we replace > symbol by =

5(x – 2)(x + 4) = 0

solve for x

5(x-2)=0

x-2=0 so x= 2

x+4=0 so x= -4

Now we make a number line

use the x values and break the number line into three intervals

-infinity to -4 , -4 to 2 , 2 to infinity

Pick a number from each interval and check with our inequality

-infinity to -4 , pick -6

5(x – 2)(x + 4) > 0

5(-6 – 2)(-6 + 4) > 0

80>0 , true

So (-∞,4) satisfies our inequality

-4 to 2 , pick 0

5(x – 2)(x + 4) > 0

5(0 – 2)(0+ 4) > 0

-40>0 , False

2 to infinity , pick 3

5(x – 2)(x + 4) > 0

5(3 – 2)(3 + 4) > 0

35>0 , true

So (2,∞) satisfies our inequality

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Juliette is making a fruit salad.she purchased 9 2/3 ounces each of 6 different fruits . how many ounces of fruit did she purcha

Anettt [7]

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= 9 2/3 divide 6

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Carolina needs $50 to buy a new Mp3 player Caroline has 40% of the amount how much does she have

olga55 [171]

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3 years ago

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Nastasia [14]

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2 years ago

Colin invests £3300 into his bank account.

lorasvet [3.4K]

Answer:

$3714.18

Step-by-step explanation:

From the question;

Amount invested is $3300

Rate of interest 3% per year compound interest

Time is 4 years

We want to determine the amount that accrued after 4 years

In this case we are going to use the compound interest formula;

That is;

$A=P(1+(\frac{R}{100})^n$ where A is the amount, P is the principal , r is the rate of interest and n is the time taken.

Therefore;

$Amount=3300(1+(\frac{3}{100})^4\\ = 3300(1.03)^4\\ = 3300(1.1255)\\ = 3,714.179$

= $3714.18

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5 0

2 years ago

PLEASE HELP AND SHOW WORK I RLLY NEED TO PASS

Alex787 [66]

40×4×4=640

b=20 h=4

using formula:

1/2×base×height

1/2×20×4=40

its says scale by factor 4:

b=80 h=16

using formula:

1/2×base×height

1/2×80×16=640

answer------>>>>640cm^2

8 0

2 years ago