Select the correct answer.
If the zeros of a quadratic function are 3 and 8, what are the factors of the function?
ОА. .
(X + 8) and (x-3)
OB.
(x - 8) and (x + 3)
ОС.
(X + 8) and (x + 3)
OD
(x-8) and (x-3)

Answers

Answer 1

Answer:

Hello!The answer would be D-(x-8) and (x-3)

Step-by-step explanation:

Your welcome :)

Answer 2

The factors of the function, If the zeros of a quadratic function are 3 and 8 will be (x - 3) and (x + 8), i.e. option D.

What is quadratic function?

Quadratic function is one of the form f(x) = ax² + bx + c, where a, b, and c are numbers with a not equal to zero.

We have,

Zeros of a quadratic function are 3 and 8,

Now,

Let,

[tex]\alpha = 8[/tex] and [tex]\beta=3[/tex]

So,

Now,

Using sum of zeros and product of zeros,

i.e.

[tex]\alpha+\beta=8+3=11[/tex]

And,

[tex]\alpha *\beta =8*3=24[/tex]

So,

The quadratic equation will be in form of ,

[tex]x^2-(\alpha+\beta)x+\alpha\beta=0[/tex]

i.e.

[tex]x^2-(8+3)x+24=0[/tex]

i.e.

[tex]x^2-8x-3x+24=0[/tex]

taking common,

x(x + 8) - 3(x - 8) = 0

(x - 3) (x + 8) = 0

So,

The factor of the quadratic equation are (x - 3) and (x + 8).

Hence, we can say that the factor of the quadratic equation are (x - 3) and (x + 8), i.e. option D.

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Related Questions

Autumn charges a flat fee of $8 plus $10 an hour babysitting. Write an equation that represents the cost, y, after x hours of babysitting

Answers

y= 10x+8
she charges 8 dollars before & then an extra 10 dollars for each hour. as it says x represents the hours & y represents the total cost.

Determine the complement of an angle that measures 71 degrees

Answers

Answer:

Acute

Step-by-step explanation:

Answer:

19° as complementary means sum of angle is 90° so 90-71 = 19

The length of a rectangular birthday party invitation is 1 inch less than twice its width. The area of the invitation is 15 square inches.

Answers

The length of a rectangular birthday party invitation is 9 inch.

The length of a rectangular birthday party invitation is 1 inch less than twice its width.

Area of the invitation 15 square inches.

what is the area of the rectangle?

A=length× width

That is,the area of a rectangle is length times width.

let x be the width rectangle

width = x

length = 2x - 1

[tex]Area= 15 square inches[/tex]

Using these variables, set up the equation for area.

x(2x - 1) = 15

Solve the equation for x.

[tex]2x^{2} - x = 15[/tex]

Subtract 21 on both sides of the equation.

[tex]2x^{2} - x - 15=0[/tex]

Which method we use to factor the polynomial?

FOIL method

Factor using FOIL, if possible.

(2x +5)(x - 5) = 0

Set the factors equal to zero and solve for x.

2x  = -5 and x - 5 = 0

x =- 5/2 or x = 5

x =- 2.5 or x=5

Since we cannot accept a negative value for dimensions, we accept the positive value of x:

x = 5

Therefore,

Length = 2(5) - 1

Length = 10-1

Length = 9

Therefore we get the length is 9 inch

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out of 30 questions on the maths test tomi knew the answer to 27 of them what percentage of questions did tomi know the answer for ?

Answers

Answer:

90

Step-by-step explanation:

[tex] \frac{27}{30} \times 100[/tex]

so after we cut the nessecary we get 90%

Hope this helps you

Mark as the brainlist

thank you

The percentage of questions did Tomi know the answer for is,

⇒ 90%

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

To Calculate the percent of a number , divide the number by whole number and multiply by 100.

We have to given that;

Out of 30 questions on the math's test Tomi knew the answer to 27 of them.

Hence, The percentage of questions did Tomi know the answer for is,

⇒ 27/30 × 100

⇒ 90%

Thus, The percentage of questions did Tomi know the answer for is,

⇒ 90%

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The area of a rectangular fence is 500 square feet. If the width of the
fence is 20 feet, then find its length.

Answers

Answer

Here the area and the width of the rectangular fence are given. We have to find length of the fence.

( diagram )

The area A of a rectangle is given by the formula A=lw where l is the length and w is the width.

Given that area is 500 square feet and width is 20 feet.

Substituting values in formula,

⇒500=l×20

⇒20/500

= 20/1×20

    [ Dividing both sides by 20 ]

⇒l=25  feet

∴ length of rectangular fence is 25 feet.

Hence, the answer is 25.

I need help on this :/


Ignore my answer I accidentally clicked it

Answers

The answer is -4. I solved it on a calculator and got -4

At a swim meet 20 medals were a warded. Four were gold metals 45% of the metals were silver the rest were bronze. What percent of the medals awarded were bronze

Answers

Answer:

35%

Step-by-step explanation:

To figure out the percentage of bronze medals, we must figure out the percentages of the gold and silver medals first.

We already know that 45% of the medals were silver.

We know that 4 of the 20 medals were gold.

4/20 as a percentage would be 20/100, or 20%.

So, 20% of the medals were gold, and 45% of them were silver.

45% + 20% = 65%

100% - 65% = 35%

So, 35% of the medals awarded were bronze.

I would appreciate brainliest, if not that's ok!

Please I need help.
Find the value of u.

Answers

Answer:

62 is the answer.

Step-by-step explanation:

I hope this helps you.

Which shape has two sets of parallel sides only?

rhombus
rectangle
parallelogram
quadrilateral

Answers

Answer: I really want you to look at the question and then answers and tell me, but the answer is Parallelogram. But seriously, that question is so easy even if you are mathematically challenged.

Answer:

all of the above except D because not all quadrilaterals have two sets of parallel sides

Step-by-step explanation:

can someone help me ): i think you should

Answers

Answer:

54+90+120+150+54= 468

D would be the answer

Answer:

D. 468 [tex]cm^{2}[/tex]

Step-by-step explanation:

a = 90 [tex]cm^{2}[/tex]

b = 120 [tex]cm^{2}[/tex]

c = 150 [tex]cm^{2}[/tex]

d = 54 [tex]cm^{2}[/tex] => 2d = 108 [tex]cm^{2}[/tex]

=> Total = 468 [tex]cm^{2}[/tex]

Please Help Me



A box sliding down an inclined plane attains a velocity of

27 m/s in 3 seconds from rest. Find the acceleration.



Answer Choices

9 m/s2

24 m/s2

30 m/s

81 m/s

Answers

Answer:

81 m/s

Step-by-step explanation:

If the box is sliding at 27 m per second, and it's been sliding for 3 seconds, then you should multiply 3 × 27 and your answer would be 81 m/s

A scalene triangle is rotated 90 clockwise about the origin. Which of the following statements is not true?
A. The new triangle is the same size as the original triangle.
B. The new triangle is the same shape as the original triangle.
C. The x-coordinates of the new triangle are the same as the x-coordinates of the old triangle.
Help !!!

Answers

Answer:

C.) The x-coordinates of the new triangle are the same as the x-coordinates of the old triangle.

Step-by-step explanation:

A and B are wrong the shape Becuase the size and shape dont  change only the cordnites/orderd pairs change    

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Answer:

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Step-by-step explanation:

4* 5[tex]\frac{2}{3}[/tex] = 4 * 17/3 = 68/3 = 22 2/3

Answer:

108/3 or 22 2/3

Step-by-step explanation:

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Answers

w-l00-7to be all to become one

Answer:

2(3+w) ≤ 12+8w-3w

6+2w≤12+5w

6≤12+3w

-6≤3w

-2≤w

w≥-2

Let me know if this helps!

A baby weighed 7.25 lbs at birth. At the end of 8
months, the baby weighed 2 $
%
times its birth
weight. How many pounds did the baby weigh at
the end of 8 months?

Answers

Answer:

The baby weighed 14.5 pounds at the end of 8 months

Step-by-step explanation:

Proportions

We know a baby weighed 7.25 pounds at birth.

It's given at the end of 8 months, the baby weighed twice its birth weight.

This means the baby weighed 2*7.25 = 14.5 pounds at the end of 8 months.

The baby weighed 14.5 pounds at the end of 8 months

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Answer:

no se

Step-by-step explanation:

yo menos perdon

Find the area of the figure below in square centimeters. 10 cm 3cm 4 cm 6 cm

Urgent Please Help​

Answers

Answer:

720

Because

area of squre =SIDE MULTIPLE BY SIDE

SO

10 MULTIPLE 3 MULTIPLE 4 MULTIPLE 6

SO ANS 720

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Answer: The perimeter of the complex figure is 32.

Step-by-step explanation:

Is it linear or non linear?

Answers

Linear is correct credit to the person above

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The answer is B, y ≥ 1/3 x - 1.

Step-by-step explanation:

Answer:

B

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I went to Quizlet and found my answer.

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Answers

Answer:

6^20

Step-by-step explanation:

When two indices are in brackets, you just have to multiply them.

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Answers

Answer:

vertically opposite angles

Answer:

it's is a vertical angel they are equal each other ( = )

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A park is in the shape of a rectangle 300 feet long 50 feet wide Amaya is standing at one corner of the park at point x he then walks in a straight line to the opposite corner at point y how far does he walk rounded to the nearest tenth

Answers

Answer:

[tex]304.1\ \text{feet}[/tex]

Step-by-step explanation:

The dimensions of the rectangle are 300 feet long 50 feet wide

The length between [tex]x[/tex] and [tex]y[/tex] will be the length of the diagonal of the rectangle.

Length of the diagonals can be found using the Pythagoras theorem

[tex]\sqrt{300^2+50^2}=304.138\approx 304.1\ \text{feet}[/tex]

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Find the sum of 6x^2 + 10x -1 and -5x^2 -2x+1

Answers

Answer:

x² + 8x

Step-by-step explanation:

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Answers

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Jacob has 17 yards of fabric. He uses 1 third of it to make a cape. How many yards of fabric does Jacob use for the cape? Solve on paper. Write your answer as a mixed number. 17 yards ? Jacob uses yards of fabric for the cape.

Answers

Answer:

Joseph used [tex]5\frac{2}{3}\ yards\ of\ cape[/tex]

Step-by-step explanation:

Total fabric available = 17 yards

fraction used = one-third = 1/3

Let us convert this fraction to actual number

He used one-third of total

= [tex]\frac{1}{3}\ of\ 17\\=\frac{1}{3} \times \frac{17}{1} = \frac{17}{3}[/tex]

To convert to mixed number, look for the closest number to the numerator that the denominator in the fraction can divide, and write it as the whole number in the mixed fraction, the remainder becomes the numerator of the new fraction:

The closest number to 17 that 3 can divide without a remainder is 15 and 3 can divide 15, 5 times, while the remainder becomes 2

[tex]\therefore \frac{17}{3} = 5\frac{2}{3}\ yards\ of\ cape[/tex]

Miguel has triple David's money, while Lisbeth has ten dollars less than David. The sum of their money totals $95. How much money does David have?

Answers

Answer:

Miguel has $63

Lisbeth has $11

David has $21

Step-by-step explanation:

let Miguel share be M

let Lisbeth share be L

let David share be D

from the question, we know that

M=3D

L=D-10.

M+L+D=95

thus,

3D+(D-10)+D= 95

3D+D-10+D= 95

5D-10 = 95

5D= 95+10

5D= 105

D= 105/5

D= 21.

thus,

M = 3D = 3×21

= $63

L = D-10 = 21-10

= $11

(63+21+11)$ = $95

2nd Question.... Will mark brainiest

Answers

Answer:

c

Step-by-step explanation:

40x3.14=125.6

Answer:

C

Step-by-step explanation:

so you use your diameter 40 and multiply it by it by 3.14 to get your circumfrence

Bruce has a spinner with four equal sections that are labeled A, B, C and D. He spun the spinner 8 times. It landed on A 3 times, B 1 time, and C 4 times. If he spins the spinner a 9th time, which of the following statements is true?

A. It is equally likely to be A, B, C, or D.

B. It is more likely to be D because it has not been landed on.

C. It is more likely to be C because it has landed on C the most.

D. It is not likely to be D because it has not been landed on.

Answers

A.

All have an equal probability. One letter is not “due” because of previous spins

Answer:

the answer would be A.

Step-by-step explanation:

because it done not matter how many times the spinner has landed on a certain letter it is still always gonna be a 1/4th chance to land on any letter

Hey I'm Chloe, Can You Help Me Thank you :)
Water and lemon juice are mixed by ounces in the ratio of 4:1, respectively, to make lemonade. In order to make 40 ounces of lemonade, how many ounces of water do you need?

Answers

Answer:

32

Step-by-step explanation:

I'm assuming the water is the "4" in the ratio here so it would be 32 water and 8 lemonade

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