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3 years ago

Write the expression in factored form s^2-20s-100

Mathematics

1 answer:

KatRina [158]3 years ago

3 0

Answer:

The factors of given expression are 10+10√2 and 10-10√2.

Step-by-step explanation:

We have given a quadratic expression.

s²-20s-100

We have to find factors of given expression.

We use quadratic formula to find factors.

x = (-b±√b²-4ac) / 2a

From given expression, a = 1 , b = -20 and c = -100

Putting values in above formula, we have

x = (-(-20)±√(-20)²-4(1)(-100) ) / 2(1)

x = (20±√400+400 ) / 2

x = (20±√800) / 2

x = (20± √400×2) / 2

x = (20±20√2) / 2

x = 10±10√2

Hence, the factors of given expression are 10+10√2 and 10-10√2.

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Jon invests $4,100 into an account that pays 5 percent simple interest each year.what is the total balance in the account after

AlladinOne [14]

% Interest = 5%
Principal Amount = $4100
Period Of Pay = 3 yrs

Interest Amount
5/100 × 4100 × 3
=615

Amount After Interest
4100 + 615 = 4715

Answer = 4715

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3 years ago

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Find two consecutive odd numbers such that the sum of the larger number and twice the smaller number is 27 less than four times

irakobra [83]

Two Consecutive Odd Numbers: D, D+2

(D+2) + 2D = 4D - 27
D + 2 + 2D = 4D - 27
3D + 2 = 4D - 27
3D + 29 = 4D
29 = D

Two Consecutive Odd Numbers are 29, 31

Check. . 31 + 2(29) = 4(29) - 27
..................31 + 58 = 116 - 27
.................89 = 89 ..... CORRECT!

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3 years ago

Pls helppppp 25 pt and brainiest for whoever answers it right.

defon

<h3><u>Given</u><u>:</u><u>-</u></h3>

Perimeter of parallelogram = 66 ft

One side,a = 3x + 1

Other side,b = 2x - 3

Find the longest side of a parallelogram.

<h3><u>Formula</u><u> </u><u>used</u><u>:</u><u>-</u></h3>

Perimeter of parallelogram = 2 ( a + b )

<h3><u>Solution:-</u><u> </u></h3>

We know that,

Perimeter of parallelogram = 2 ( a + b )

★ Substituting the values in the above formula,we get:

⇒ 66 = 2 ( 3x + 1 + 2x - 3 )

⇒ 66 = 2 ( 5x - 2 )

⇒ 66/2 = 5x - 2

⇒ 33 = 5x - 2

⇒ 5x - 2 = 33

⇒ 5x = 33 + 2

⇒ 5x = 35

⇒ x = 35/5

⇒ x = 7 ft

Now,

One side,a = 3x + 1

★ Putting the value of x

⇒ 3 × 7 + 1

⇒ 21 + 1

⇒ 22 ft

Other side,b = 2x - 3

★ Putting the value of x

⇒ 2 × 7 - 3

⇒ 14 - 3

⇒ 11 ft

Hence,the longest Side of given parallelogram is 22 ft ( 3x + 1 ) .

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3 years ago

3 Fred is making a fruit salad. The ratio

marusya05 [52]

Answer: 24 cups.

Step-by-step explanation:

Let be "x" the amount of cups of peaches that Fred will need to make 60 cups of fruit salad.

According to the information given in the exercise, you know that the ratio of cups of peaches to cups of cherries is the one shown below:

$2:3$

Which can also be written as a fraction:

$\frac{2}{3}$

Then, if he uses 2 cups of peaches and 3 cups of cherries, he will get 5 cups of fruit salad.

Knowing the above, you can set up the following proportion:

$\frac{2}{5}=\frac{x}{60}$

Now you must solve for "x" in order to find its value. This is:

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3 years ago

Are 5/3 and 1 2/3 equivalent?

Semmy [17]

Answer:

Yes.

Step-by-step explanation:

3/3 is equal to 1. If you add 3/3 to 2/3, you get 5/3, which means that yes, they are equivalent.

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