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PtichkaEL [24]
3 years ago
8

FIRST TO ANSWER GETS BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Mathematics
1 answer:
uysha [10]3 years ago
6 0
10h+120p=950.50
h+p=12
p=?

h+p=12
-p both sides
h=12-p

plug in to 10h+120p=950.50
10 (12-p)+120p=950.50
distribute
120-10p+120p=950.50
simplify
120+110p=950.50
-120 both sides
110p=830.50
÷110 both sides
p=7.55
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Answer:

The factorized expression is (-5) × (t - 2.747) ×(t - 1.747)

Step-by-step explanation:

The given expression is -5·t² + 5·t + 24

To factorize the expression by completing the square method, we equate the expression to zero to get;

-5·t² + 5·t + 24 = 0

WE divide by -5 to get;

t² - t - 24/5 = 0

t² - t = 24/5

t² - t + 1/4 = 24/5 + 1/4

(t - 1/2)² = 5.05

t - 1/2 = ±√5.05

t = 1/2 + √5.05, 1/2 - √5.05

The factorized expression becomes;

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Which gives;

(t - 2.747) ×(t - 1.747)

The factorized expression is (-5) × (t - 2.747) ×(t - 1.747).

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