Four equivalent forms of a quadratic function are given. Which form displays the zeros of function h?

Answers

Answer 1

Answer:

[tex]h(x) = -4(x - 2)(x + 2)[/tex]

Step-by-step explanation:

Given

[tex]h(x) = -4(x - 2)(x + 2)[/tex]

[tex]h(x) = -2(2x^2 - 8)[/tex]

[tex]h(x) = -4(x^2 - 4)[/tex]

[tex]h(x) = -4x^2 + 16[/tex]

Required

Which shows the zeros of h(x)

To determine the zeros of a function, the function must be written as:

[tex]h(x) = n(x \± a)(x \± b)[/tex]

Where

[tex]n \ne 0[/tex]

[tex]\± a,\± b[/tex] are the zeros

Of options (a) to (d), only (a) is written in the form:

[tex]h(x) = n(x \± a)(x \± b)[/tex]

i.e.

[tex]h(x) = -4(x - 2)(x + 2)[/tex]

Other options do not show the zeros


Related Questions

Which would it be please?Help if you can.

Answers

Answer:

B

Step-by-step explanation:

Area = length times width, in this case, both length and width is x.

While 5 and 2 are the lengths and widths for the unshaded part.

x^2 = whole square

x^2 - (5)(2) = area of shaded region

I will give brainiest

Answers

Answer:

(7,-2)

Step-by-step explanation:

G is currently at (2, 0)

(2+5, 0-2) becomes (7, -2)

7,2 I think I’m not sure

4/5 divided by 3/4
I need help please!! :)

Answers

4/5 / 3/4 = 0.8/0.75 ≈ 1.0666666667....

Answer:

1 1/5 in fraction form :))

answer with full solutions​

Answers

Answer:

66 cm²

Step-by-step explanation:

From the given figure, and the question statement we have;

BD = 11 cm, AE = 7 cm, CF = 5 cm

The given quadrilateral ABCD consists of two triangles; ΔABD and ΔBCD

The area of quadrilateral ABCD = The sum of the areas of ΔABD and ΔBCD

The base length of the two triangles equals segment BD = 11 cm

The height of triangle ΔABD = 7 cm

The area of a triangle = (1/2) × Base length × Height

∴ The area of triangle ΔABD = (1/2) × 11 cm × 7 cm = 38.5 cm²

Similarly;

The area of triangle ΔBCD = (1/2) × 11 cm × 5 cm = 27.5 cm²

∴ The area of quadrilateral ABCD = 38.5 cm² + 27.5 cm² = 66 cm²

The area of the given figure (quadrilateral ABCD) = 66 cm².

PLEASE HELP WILL AWARD BRAINLIEST:)

Answers

Answer:

x = 4 units

Step-by-step explanation:

By geometric mean theorem:

Length of perpendicular

[tex] =\sqrt{2\times 6}[/tex]

[tex] =\sqrt{12}[/tex]

Next, by Pythagoras theorem:

[tex] x^2 = 2^2 + (\sqrt {12})^2 [/tex]

[tex] \therefore x^2 = 4 + 12 [/tex]

[tex] \therefore x^2 = 16 [/tex]

[tex] \therefore x =\sqrt{ 16 }[/tex]

[tex] \therefore x =4\: units[/tex]

No one wants to help me ! :(((( need help on algebra: modeling dot plots Box plots and histograms.!

Answers

i don’t remember a lot from algebra but post a picture with your question to give people a visual

the difference between two numbers is 14. if 1/3 of the larger number is subtracted from the smaller number ,the result equals 1/10 of their sum. find both numbers

Step by step please

Answers

Answer:

Step-by-step explanation:

x-y=14

x-1/3y=1/10

-y=14-x

y=-14+x

take out the factors

x-10/30y=3/30

30x-10y=3

substitute

30x-10(-14+x)=3

30x+140-10x=3-140

20x/20=-137/20

x=-6.85

y=-14+(-6.85)

y=-20.85

The two numbers are 143/20 and 423/20.

What is a linear system of equations?

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

Given that, the difference between two numbers is 14.

Let the smaller number be x and the larger number be y.

Here, y-x=14 ------------(i)

If 1/3 of the larger number is subtracted from the smaller number ,the result equals 1/10.

1/3 of larger number is 1/3 y

x-y/3 =1/10 ------------(ii)

From equation (i), substitute y=14+x in equation (ii), we get

x-(14+x)/3 =1/10

10(3x-14-x)=3

30x-140-10=3

20x-140=3

20x=143

x=143/20

Substitute x=143/20 in equation (i), we get

y-143/20=14

y=14+143/20

y=(280+143)/20

y=423/20

Therefore, the two numbers are 143/20 and 423/20.

To learn more about the linear system of an equations visit:

https://brainly.com/question/27664510.

#SPJ3

Can y’all help me please

Answers

Answer:

y= 5x + 100

Step-by-step explanation:

Hope this helps out! :)

Samuel is preventing a boulder from rolling down a hill with a slope of 35°. If the boulder
weighs 322 pounds, how much force is he exerting to hold the rock in place?

Answers

Answer:

1,809.98 lb*m/s^2

Step-by-step explanation:

First, we want to know how much weight of the boulder is projected along the path in which the boulder can move.

The weight of the boulder is:

W = 322lb*9.8 m/s^2 = (3,155.6 lb*m/s^2)

This weight has a direction that is vertical, pointing downwards.

Now, we know that the angle of the hill is 35°

The angle that makes the direction of the weight and this angle, is:

(90° - 35°)

(A rough sketch of this situation can be seen in the image below)

Then we need to project the weight over this direction, and that will be given by:

P = W*cos(90° - 35°) = (3,155.6 lb*m/s^2)*cos(55°) = 1,809.98 lb*m/s^2

This is the force that Samuel needs to exert on the boulder if he wants the boulder to not roll down.


Find the value of x????

Answers

Answer:

The sum of complementary angles is 90 degrees.

Step-by-step explanation:

Answer:

4x+50=90

4x=40

x=10

Step-by-step explanation:

good luck

How would you solve problems like this

Answers

man i need help on stuff like that too

Solve the polynomial equation by factoring.
4x^4 + 12x^3 + 9x^2 = 0

Answers

Answer:

x=0 or x=-3/2

Step-by-step explanation:

Which expression is represented by the phrase "the square of y decreased by the quotient of 28 and 7"? * 1 point

Answers

Answer:

y² - 4

Step-by-step explanation:

Give the expression :

"the square of y decreased by the quotient of 28 and 7"?

Expressing Mathematically ;

Square of y = y²

Quotient of 28 and 7 is obtained by taking the division of 28 by 7

Dividing 28 by 7 ; 28/7 = 4

Hence, decreasing y² by 4 ; we have ;

y² - 4

USE CALCULATOR PI I NEED HELP ASAP

Answers

Iaoakananabahahjahansnshshaabw bajajsjaja

The Barnes family has a coupon for 10% off their dinner. If their bill comes to $82.50 and they wish to tip 15%, what will they pay in total?

Answers

Answer:

Total cost= $86.25

Step-by-step explanation:

Giving the following information:

Discount= 10%

Nill= $82.5

Tip= 15%

First, we need to calculate the discounted price:

Discount price= 82.5 / 1.1= $75

Now, the tip:

Tip= 75*0.15= $11.25

Finally, the total cost:

Total cost= 75 + 11.25

Total cost= $86.25

The owner of the local sporting goods store is offering a 40% discount on one regular priced item. If a customer receives a discount of $8, what is the regular price of the item?

Answers

Answer:

I think the answer would be D. 20 hope it helps

Step-by-step explanation:

find the length of the hyponuse of the triangle.

A=5m, b=12, c=?

Answers

Answer:

c=13

Step-by-step explanation:

a^2+b^2=c^2

25+144=169

The square root of 169 is 13.

Answer:

c= 13

Step-by-step explanation:

a^2+b^2= c^2 = 25+144= 169 root of 169 is 13

Solve by factoring.
x2 - 9x - 22 = 0

Answers

Solutions: x=11 x=-2
11 is the answer okay

f ( x ) = 25 x 2 − 4

Answers

The answer is f(x)= 46

Answer:

the answer is to this question is f(x)=46

How many moles of oxygen atoms are in 2.000 x 10^15 molecules of sulfur dioxide (SO2)?

Answers

Answer:

2e+15

Step-by-step explanation:

I believe the answer is 2e+15. Unless my math is wrong, this is the answer.

There students Row every relationship between decimal, fraction, or percents.
Maxie wrote 75%= 3/5 Bernice wrote 0.05=50%
Lee Ann wrote 3/8=0.375 which students wrote a correct equation?

Answers

Answer:

Answer is Lee Ann wrote the right equation.

Step-by-step explanation:

2/8 equals 25%, which equals 1/4, half of 25% is 12.5%, so 25% plus 12.5% equals 37.5%.

37.5% in decimal form is 0.375.

Therefore Lee Ann is correct.

Which parent function is represented by the graphe A. An exponential parent function O B. Linear parent function O c. Quadratic parent function D. Absolute value parce mananion​

Answers

Answer:

the answer is b:) hope this helped!

The square root 24 is between which two numbers on the number line
A)
1 and 2
B)
2 and 3
C)
3 and 4
D)
4 and 5

Answers

Answer:

Step-by-step explanation:

4²=16

5²=25

so √24 is between 4 and 5.

4 and 5. i need 20 letters so ignore this
yes

ILL GIVE BRAINLIEST ASAP!!!PLEASE DONT PUT A LINK!!

Answers

Answer:

c i believe

Step-by-step explanation:

brainliest?

Answer:

The answer is C

Step-by-step explanation:

The line is pointing towards the right and the mark on -3 is shaded in.

Plz help I will give BRAINLY

Answers

Answer:

I believe it is C

Step-by-step explanation:

Sorry if I got it wrong but hopefully you got it right

Solve the system using elimination.
5x + 3y = − 8
7x + 2y = − 20

Answers

your answer should be (-4,4). You would multiply the top row by 2 and the bottom one by -3 to get the y’s the same (both would be 6y) then from there solve for x. once you have x plug in for y.

600 raffle tickets were sold for $5 each. There is one $500 first prize and three $200 second prizes. The remainder of the tickets do not win anything. What is the expected value of this raffle?​

Answers

Answer:

its    -$3.17

Step-by-step explanation:

500-5=495

200-5=195

the remainder of the tickets is -$5

the expected value is $495 x 1/600 + $ 19583/600 + (-$5) 596/600= -$3.17

Please help me i would really appreciate it.

Answers

6.28 = Question 11

and i can not solve for 12 sorry

Answer:

Question 11- 6.28 yards square


What is the value of 1,608 divided by 10 cubed

Answers

Answer:

16 2/25

Step-by-step explanation:

1608 / 10^2

1608/100

16 8/100

16 4/50

16 2/25

Answer:

1.608

Step-by-step explanation:

1608 ÷ 1000 = 1.608

PLEASE HELP ME URGENT what is the correct answer to my question.

Answers

I'm fully sure but maybe you add 12+40

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