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3 years ago

Find the roots of f(x)=x^2+10x−96

Mathematics

1 answer:

a_sh-v [17]3 years ago

6 0

Answer:

x = -16 or x = 6

Step-by-step explanation:

To find the roots of a polynomial function, set the polynomial equal to zero and solve for x.

x² + 10x - 96 = 0

We need to factor the left side. The left side is a quadratic polynomial whose first coefficient is 1. We need two numbers whose product is -96 and whose sum is 10. The numbers are 16 and -6.

(x + 16)(x - 6) = 0

If a product of two factors equals zero, then one factor or the other or both must equal zero.

x + 16 = 0 or x - 6 = 0

x = -16 or x = 6

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A circle has a diameter of 121 inches. Which equation can be used to find the radius of this circle? r=121/2π r=1/2(121) r=121π

drek231 [11]

The radius of a circle is always half its diameter.

Therefore the radius of a circle with a diameter of 121 inches is 1/2(121).

Hence, the correct answer is r = 1/2 (121)

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3 years ago

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Misha Larkins [42]

Answer:

m= x-45

Step-by-step explanation:

M represents money.

X equals the amount of the money in the account.

-45 represents what he deposited from his account.

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Derrick really wants to earn at least $330 at the Bike Shop this week before he goes on vacation. He earns $150 in a week plus $

777dan777 [17]

Answer:

150 + 20x ≥ 330

Step-by-step explanation:

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7 0

3 years ago

zodwa needs R450550.00 to buy a house, the bank approved her loan for the full amount at an interest rate of 25% per year, compo

adell [148]

Answer:

I'll setup the problem and leave the computation to you

Step-by-step explanation:

The equation to calculate fixed payments

$P = \frac{r(PV)}{1- {(1 + r)}^{ - n} }$

P= payments

r = interest rate for the period (which is a quarter )

PV = present value (or the amount borrowed)

n = number of periods

r = .25/4 (4 months = quarter of a year)

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if you have questions, put them in the comment

6 0

3 years ago

A shop owner made a loss of 12% when he sold an item for $264. What was the cost price of the item?.

Firlakuza [10]

Answer:

The cost of the item was $31.68

Step-by-step explanation:

Things to understand for this type of question!

• Converting

• Percentage

————————————————————

We are trying to find out 12% or $264

Step 1. Use part/whole = part/whole

12% is part of $264 in total

12%/100% = ?/$264

Step 2. Multiply $264 by 12% and divided by 100

12%/100% = $31.68/$264
••••••••••••••••••••••••••••••••••••••••••••••••••
Therefore, the shop owner loss $31.68

4 0

3 years ago