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krok68 [10]
2 years ago
8

What number should be added to the expression x2 14x to change it into a perfect square trinomial?.

Mathematics
1 answer:
makkiz [27]2 years ago
8 0

Answer:

  49

Step-by-step explanation:

When you look at the square of a binomial, you see ...

  (x +a)^2 = x^2 +(2a)x +a^2

The constant value (a^2) is <em>the square of half the x-coefficient</em>.

  (14/2)^2 = 49 . . . . the value to be added.

Adding 49 gives ...

  x^2 +14x +49 = (x +7)^2

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Courtney must earn at least $150 to pay for broken window. She earns $10 for every car she washes.
valkas [14]

Answer:

10c ≥ 150

At least 15 cars (or c ≥ 15)

Step-by-step explanation:

If she gets $10 for every car she washes a car then 10c is the rate of her gaining money and she needs at least (greater than or equal to) $150.

This equation can be used to express the situation:

10c ≥ 150

<em>To solve you divide the 10 from both sides of the inequality to get.</em>

c ≥ 15

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2 years ago
Xavier (x) has $20 more than Sara (s). Their combined money totals $90. Which system of equations represents this situation?
borishaifa [10]

Answer:

B) x + s = 90, x - s = 20

Step-by-step explanation:

x + s = 90 represents that both Xavier and Sara's money combined is $90.

x - s = 20 represents that Xavier has 20 more dollars than Sara.

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3 years ago
Javier has been saving for a digital camera. He finds one on sale for $67.50. It usually costs $90.00. What is the percent of th
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Answer:

B: 25%

Step-by-step explanation:

$90.00 - $67.50 = $22.5

$22.5 / $90 = 0.25 = 25%

Answer:

B: 25%

6 0
3 years ago
Mr Carrillo's family bought lunch from Culvers. They also bought some sodas from
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1.) You (or your parents) purchase a new car for $19,725.00 plus 4.75% sales tax. The down payment is $2,175.00 and you (or your
Helga [31]

Answer:

$936.94

Step-by-step explanation:

Remember, that because you paid $2,175 up front (down payment), you can borrow $2,175 less from the bank to purchase the car. So first step: Take new car price of $19,725.00 and multiply it by the sales tax percentage ($19,725 * 0.0475) to get $936.94 of tax.

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