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Kobotan [32]
3 years ago
5

If 4x^2-100=0 the roots of the equation are

Mathematics
1 answer:
Marrrta [24]3 years ago
8 0

Your equation:                   4x² - 100           =  0

Factor the left side:      (2x + 10) · (2x - 10) = 0

This equation is true if either factor is zero.

-- One factor:                     2x + 10 = 0
  
Divide each side by 2:            x + 5 = 0
Subtract 5 from each side:      x      = -5 .


-- The other factor:               2x - 10  =  0

Divide each side by 2:            x + 5 = 0
Add  5  to each side:              x      =  5 .

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A shoe company found that 4.25% of the production is defective. The company
nlexa [21]

1190 pairs of shoes are defective

<em><u>Solution:</u></em>

Given that shoe company found that 4.25% of the production is defective

The company  made 28,000 pairs of shoes

To find: Number of pairs of defective shoes

From given information, 4.25% of the production is defective which means 4.25% of 28,000 pairs of shoes

Defective shoes = 4.25% of 28,000

Defective shoes = \frac{4.25}{100} \times 28000

Defective shoes = 4.25 \times 280 = 1190

Thus 1190 pairs of shoes were defective

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3 years ago
Simplify the product using FOIL. (4x + 3)(2x + 5)
Dafna1 [17]
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I need help on these 2 problems
KIM [24]

Answer:

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Step-by-step explanation:

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Billy makes $5 a week in allowance plus $4 for each lawn that he mows.
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Answer:

$15 < $4n + $5

Step-by-step explanation:

We know that Billy needs to make more than $15 between his allowance and the lawns that he mows. This means our inequality should include $15<. Also, since Billy will make $4 per lawn, that means we need to multiply $4 by the number of lawns he needs to mow, n: $4n. So far we have the following: $15<$4n. Next, we know that he makes $5 each week, on top of what he makes mowing each law. This means we need to add the $5 to the $4n. When we put all of these pieces together, we will get the following inequality: $15<$4n+$5

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