MATHEMATICS HIGH SCHOOL

What are the zero(s) of the function f(x) = the quantity of 5 x squared minus 25 x, all over x? x = 5 x = 0 and x = 5

Answers

Answer 1

Answer:

Answer:

x=5

Step-by-step explanation:

$f(x)= (5x^2-25x)/(x)$

To find out zeros we replace f(x) with 0

$0= (5x^2-25x)/(x)$

Now solve for x

first we divide the numerator by x

$0=5x-25$

Now we facor out GCF 5

$0=5(x-5)$

Divide by 5 on both sides

$0=x-5$

Add 5 on both sides

x= 5

zero of the function is x=5

Answer 2

Answer: (5x^2-25x)/x
simplify
((x)(5)(x-5))/x=5(x-5)=5x-25=f(x)
(just fyi, that x we cancled is a hole)
set to zero
5x-25=0
5x=25
divide 5
x=5

zeroe is at x=5
or (5,0)

x=5 is answer

Related Questions

Write 0.87 as a fraction in simplest form.
Juliet opened a savings account at a bank by depositing $75. The account earns simple interest at a rate of 4% per year. The money has been in the account for 5 years, and Juliet has not made any more deposits or withdrawals. How much money is in Juliet’s account?A) $270.00 B) $78.00 C) $80.00 D) $90.00
1 1 pointAnswer each of the following. Write your final answers in the blanks provided.A building is 50 ft. high. At a distance away from the building, an architect observes that the angle of elevation to the top of the building is28° How far is the observer from the base of the building? Round to the nearest foot.
A surveyor find that the cross section of the bottom of a circular pound has the shape of a parabola. The pond is 24 feet in diameter. The middle of the pond is the deepest part at 8 feet deep. At a point 2 feet from shore the water is 3 feet deep. How deep is the pond at a point 6 feet from shore?
44 tens is the same as?

Solve for x. Your answer must be simplified.x/7 ≥−6

Answers

Answer:

x ≥−42

Step-by-step explanation:

x/7 ≥−6

Multiply each side by 7

x/7 * ≥−6*7

x ≥−42

A punch recipe that serves 24 calls for 1/3cup of lemon juice. If Mike plans to make only enough punch to serve 12 people, how much lemon juice will he need? Explain how you found your answer.

Answers

Answer:

Mike will need 1/6 cup of lemon juice to serve 12 people

Step-by-step explanation:

1/3 cup of lemon juice = 24 servings

x cups of lemon juice = 12 servings

Using ratio

1/3 : 24 = x : 12

1/3 ÷ 24 = x / 12

1/3 × 1/24 = x/12

1/72 = x/12

Cross product

1*12 = 72*x

12 = 72x

Divide both sides by 72

x= 12/72

= 1/6

x= 1/6

Mike will need 1/6 cup of lemon juice to serve 12 people

Answer:

Mike needs 1/6 cup of lemon juice to serve 12 people.

Step-by-step explanation:

1/3 cup of lemon juice = 24 servings

x cups of lemon juice = 12 servings

1/3 : 24 = x : 12

1/3 ÷ 24 = x / 12

1/3 × 1/24 = x/12

1/72 = x/12

1/3 cup of lemon juice = 24 servings

x cups of lemon juice = 12 servings

Using ratio:

1/3 : 24 = x : 12

1/3 ÷ 24 = x / 12

1/3 × 1/24 = x/12

1/72 = x/12

Cross product:

1*12 = 72*x

12 = 72x

Divide both sides by 72:

x= 12/72

= 1/6

x= 1/6

Mike will need 1/6 cup of lemon juice to serve 12 people

Adrianne invested $2000 in an account at a 3.5% interest rate compounded annually. She madeno deposits or withdrawals on the account for 4 years. Determine, to the nearest dollar, the
balance in the account after the 4 years.

Answers

With the information given, you can make the expression 2000*3.5%*4, because the interest in a year is 3.5% of 2000 and it goes for four years.

Change 3.5% to 0.035:

2000*0.035*4

Multiply:

70*4

280

To find the total balance, add 2,000 to the amount of interest earned, 280.

2000+280=2280.

Therefore, after the 4 years pass, the account balance is $2280.

Which category does each card go into?

Answers

Answer:

See attached

Step-by-step explanation:

The answer is attached

Infinitely many solutions

E2, E8, E10

One solution

E1, E7, E12

No solution

E3, E6, E11

Step-by-step explanation:

E3, E6, E11, E7: no solution

E1, E12 : 1 solution

E2, E8, E10 : infinite solutions

In how many ways can 12 students sit in two rows each row having 6 "srudents"

Answers

The answer is 2 rows

Help me please
!!!!!!!!!!!!!!!

Answers

S is in negative territory. So it is going to take you a distance to get to 0 and move further right to T.

You can do this without a formula just by adding 2 to get to zero and then 14 more to get to T. The distance between S and T is 14 + 2 = 16.

Now we should develop some kind of formula for these questions. When one point is on one side of zero on the number line and the other point is on the other side of zero then the formula for distance is

distance (as a formula for this question) = abs(S) + abs(T)

Distance = abs(-2) + abs(14) = 2 + 14 = 16

When both point are on the same side of zero then the formula becomes

Distance= abs(abs(S) - abs(T) )

For example if S = -2 and T = - 9

Then the distance = abs( abs(-2) - abs(-9) ) = abs(2 - 9) = abs(-7) = 7

If you have not taken abs value, then just take the answer that I have given above.

The distance between S and T:

|-2| + 14

= 2 + 14

= 16

Answer