The graph y = 1/2x^2 - x - 4 is shown below. State the coordinate of the zero(s):

The Graph Y = 1/2x^2 - X - 4 Is Shown Below. State The Coordinate Of The Zero(s):

Answers

Answer 1

Answer:

Zeros → (-2, 0) and (4, 0)

Step-by-step explanation:

Equation of the graph has been given as,

y = [tex]\frac{1}{2}x^{2} -x-4[/tex]

For zeros of the function,

y = 0

Therefore, [tex]\frac{1}{2}x^{2} -x-4=0[/tex]

By solving the equation algebraically,

x² - 2x - 8 = 0

x² - 4x + 2x - 8 = 0

x(x - 4) + 2(x - 4) = 0

(x + 2)(x - 4) = 0

x = -2, 4

Therefore, coordinates of the zeros will be (-2, 0) and (4, 0).

Let's confirm the zeros (x-intercepts) from the graph attached,

Coordinates of the x-intercepts are,

(-2, 0) and (4, 0)


Related Questions

What is the scale factor of 9/10=21/x what is x

Answers

9x= 210
X=210/9
X=23.33........

given that the line y/2 = x-p passes through the point ( -4 , 4 ) , then the value of " p " is ?

Answers

Answer:

-6

Step-by-step explanation:

Given,

(-4,4)=(x,y)

y/2=x-p

Substituting the value of(x,y) in the given line,

4/2= -4-p

or,2= -4-p

or,2+4= -p

or,-p= 6

hence,p = -6

what fraction is equivalent to -3/2

Answers

Answer:

-1 1/2

Step-by-step explanation:

Erica’s parents gave her $500 for her high school graduation. She put the money into a savings account that earned 7.5% annual interest. She left the money in the account for nine months before she withdrew it. How much interest did the account earn if interest is paid monthly If she would have left the money in the account for another nine months before withdrawing, how much interest would the account have earned?

Answers

Answer:

$28.84

Step-by-step explanation:

That's for the first one that I found, the two other problems I don't know yet.

pls help asap no trolls!!

Answers

Answer:

10

Step-by-step explanation:13+4>а>13-4

a>9

Divide. Write your answer in scientific notation.
8 103
2 x 103

Answers

Answer: = 8.346296 × 106

Step-by-step explanation:

If the area of each of the triangular regions is as shown, what is the area of the polygon?

18
17
16

Answers

Answer:

18

Step-by-step explanation:

What is the density of the glass in 2.5 g/cm in kg/m

Answers

We are given:                                                                                                        

Density of glass in g/cm³ = 2.5

Finding the density in kg/m³:                                                                              

In converting 2.5 g/cm³ to kg/m³, we will first convert the g to kg

Converting the g to kg:

2.5 g/cm³ * 1

Since 1kg = 1000g, 1kg/1000g = 1

2.5 g/cm³ * 1kg / 1000g

the g in the numerator and the denominator will cancel out and we will get:

2.5 kg / 1000 cm³

Converting the cm³ to m³:

We know that 1 m³ = 10⁶ cm³

So, 10⁶ cm³ / 1 m³ = 1

Multiplying the density by 1

2.5 kg / 10³ cm³   *   1

2.5 kg / 10³ cm³   *   10⁶ cm³ / 1 m³

the cm³ in the numerator and the denominator will cancel out

2.5 * 10⁶ kg / 10³ m³

2.5 * 10³ * 10³ kg / 10³ m³

2.5 * 10³ kg / m³

2500 kg/m³

Choose Yes or No to tell if the decimal 0.43 will make each equation true.

103 × □ = 430
Choose...

101 × □ = 4.3
Choose...

104 × □ = 43,000
Choose...

102 × □ = 43
Choose...

Answers

Answer:

None will .

Step-by-step explanation:

103 × 0.43 = 44.29

101 × 0.43 = 43.43

104 × 0.43 = 44.72

102 × 0.43 = 48.86


PLEASE HELP ASAP WORTH A LOT OF MY GRADE

Answers

Answer:

D

Step-by-step explanation:

Im almost positive its d because for triangles you multiply by radical two for when its 45 degrees then the side for the one part of the triangle would be 26 radical 2 multiplied by 39 to get 1397.243 then you double that to get d

Can someone help me please? How do I solve this?

Answers

Answer:

i suggest look up a number chart similar to that and place the (4,4) on it

Step-by-step explanation:

im sorry if i couldnt help

Answer:

m is the slope, so it has a slope of 1. it gave you a point so it wants you to plug the point and slope into point-slope form and then solve for the equation to be in slope-intercept form so you can graph it.

point-slope form is: y -y1 = m(x -x1)

plug in the given values and solve

y - 4 = 1(x -4) (use the distributive property to get rid of the parenthesis)

y -4 = 1x - 4 (add 4 to both sides to isolate y)

y = 1x  (1x is the same as x, so it's redundant to write 1x)

y= x (this is the equation of the line)

if you don't know how to graph y=x, whatever the y value is, the y value is. it's a straight line going through the origin.

Step-by-step explanation:

i hope this helped :)

What fraction is shown on the number line?

Answers

the answer should be 7/10!

Answer:

7/10

Step-by-step explanation:

Given the expression 1/4 - 3/5, select the addition problem that is equivalent to it.

Answers

-7/20
The answer and I will explain in the comment

find the rate of travel for a fishing boat with a speed of 10 miles per hour moving Downstream with a current of 5 miles per hour ​

Answers

Answer:

36 miles (b+C) (3)of rate

y = -3x + 3
-3x - y = -6

Answers

Answer:

let it be equation 1 and 2

Step-by-step explanation:

-3x -(-3x+3) =-6

-3x +3x -3= -6

0x = -3

x = 0

y = -3(0) +3

y = 3

__ + 15 - 15 = 21
what is the blank number

Answers

Answer:

Step-by-step explanation:

21 is the blank number as +15 and -15 cancels out

Answer:

the answer is 21

Step-by-step explanation:

19 - k = 4.




I need help​

Answers

Answer:

15

Step-by-step explanation:

first you have to subtract 4 from 19 to get what k is. that should be your answer. good luck!

Solve.
X = -7
4x - 4y = 12
(x,y)

Answers

Answer:

(-7, -10)

[tex]x=-7\\y=-10[/tex]

Step-by-step explanation:

[tex]4x-4y=12[/tex]

Substitute x for -7.

[tex]4(-7)-4y=12[/tex]

Multiply 4 by -7.

[tex]-28-4y=12[/tex]

Add 28 on both sides.

[tex]-4y=40[/tex]

Divide -4 on both sides.

[tex]y=-10[/tex]

Question
-8 – (-3) =

Answers

Answer:

-5

Step-by-step explanation:

-8 - -3 basically forget about the - just do the question 8 - 3 then u get 5 then add the - sign

Answer:

Step-by-step explanation:

-5

-8 -(-3)=

-8+3=

-5

2) LaChina spherical glass decorative balls that she is filling with blue liquid to match the color of
her room. If there is 4,000 cubic inches of liquid to be poured into 20 glass spheres, what is the
diameter of each sphere? Round to two decimal.

Answers

Answer:

8000

Step-by-step explanation:

What is 8 2/5 minus 5/8

Answers

Answer: 7.775 as a decimal, as a fraction, 311/40.

Step-by-step explanation:

Answer:

im 95%ly sure itz just 8

Step-by-step explanation:

I NEED HELP WITH THIS GEOMETRY QUESTION PLEASE, IF YOU GET THE ANSWER CORRECT ILL MARK IT AS BRAINIEST , thanks in advance❤️!

Answers

Answer:

I think it is B (SSS congruence)

Step-by-step explanation:

you are only given the sides of the triangles not any of the angles

Answer:

D

Step-by-step explanation:

This I am pretty sure on.

The only side you can 100% say is similar is DE. since it is the same line.

The angles GDE and FDE are the same since there is a line divivding it in half.

All other answers use two or more sides, unless marked with a little dash, indicating that they are the same size, you really can't use those side.

!! PLEASE help !

Using two or more complete sentences, describe how you can find a vector parallel to b (-2,3) .

Answers

Any vector that points in the same or opposite direction would be parallel. So you can just scale (-2, 3) by any real number t to get the vector (-2t, 3t ).

For example, if t = -1, you get the vector (2, -3); if t = 2, you get (-4, 6).

Solve the equation. m + (–4) = –9 5 36 –5 –13

Answers

4m + 9 + 5m – 12 = 42. A. m = 5 B. m = 4 C. m = –5 D. m = -4


[tex](2x {}^{4} - 18x ^{2} + 3x - 4) \div (x ^{3} - 3x {}^{2} - 2)[/tex]

Answers

Answer:

(2x⁴-18x²+3x-4) = (2x+6)(x³-3x²-2) + (7x+8)  .... remainder  7x+8

Step-by-step explanation:

(2x⁴-18x²+3x-4) = (2x+6)(x³-3x²-2) + (7x+8) .... remainder  7x+8

Use long division method

The two triangles shown are congruent: AFHG=AJKL. Based on this information,
which of the following is a true statement?
A) HELL
B) JK= FG
OC) GEL
D

Answers

Answer is c in the photo
the correct answer would be C. also you’re welcome

need help right now due today I will get brainiest with all the answers

Answers

Answer:

9. 9 1/2

10. 1 1/2

11. 15 3/4

12. 1 1/3

13. 12 stores sell shoes.

14. the area of the floor is 7,606.625 ft²

15. 3 1/3

16. 4 skateboards

hope this helps. have a good day

c+6<-20 solve the inequality

Answers

Answer:

c < -26

Step-by-step explanation:

c+6<-20

Subtract 6 from each side

c+6-6<-20-6

c < -26

Step-by-step explanation:

c+6<-20

c < -20-6

c < -26

or

c ∈ 《-∞ ,-26》

15x+98=105 What is the value of x and please show your work. :) ​

Answers

Answer:

15x+98=105

      -98    -98

15x=7

/15    /15

x=7/15

Step-by-step explanation:

x=7/15

The expression x3(x−y)7−y3(x−y)7 can be rewritten as (x−y)m(x2+y2+nxy). What is the value of m ?

Answers

Answer:

m = 8

Step-by-step explanation:

Given the expression:

x³(x−y)⁷−y³(x−y)⁷

This can also be written as (x³-y³)(x-y)⁷

(x³-y³)(x-y)⁷=  (x-y)⁷ (x³-y³)

Expand  (x³-y³)

x³-y³ = (x-y)(x²+xy+y²)

Substitute back into the original expression:

(x-y)⁷ (x³-y³) = (x-y)⁷(x-y)(x²+xy+y²)

(x-y)⁷ (x³-y³) = (x-y)⁸(x²+xy+y²)

(x-y)⁷ (x³-y³) = (x-y)⁸(x²+y²+xy)

Comparing the result with (x−y)^m(x^2+y^2+nxy).

(x-y)⁸ = (x-y)^m

m = 8

Also:

nxy = xy

n = xy/xy

n = 1

Hence the value of m is 8

The value of m is 8

The expression is given as:

[tex]x^3(x-y)^7-y^3(x-y)^7[/tex]

Factor out (x - y)^7 in the above expression

[tex]x^3(x-y)^7-y^3(x-y)^7 = (x^3 - y^3)(x -y)^7[/tex]

Expand out (x^3 - y^3) as the difference of two cubes

[tex]x^3(x-y)^7-y^3(x-y)^7 = (x-y)(x\²+xy+y\²)(x -y)^7[/tex]

Combine the common factors

[tex]x^3(x-y)^7-y^3(x-y)^7 = (x\²+xy+y\²)(x -y)^8[/tex]

Rewrite the expression as:

[tex]x^3(x-y)^7-y^3(x-y)^7 = (x -y)^8(x\²+xy+y\²)[/tex]

The expression format is given as:

[tex](x-y)^m(x^2+y2^+nxy)[/tex]

So, we have:

[tex](x-y)^m(x^2+y2^+nxy) = (x -y)^8(x\²+xy+y\²)[/tex]

By comparison, we have:

[tex]m = 8[/tex]

Hence, the value of m is 8

Read more about expressions at:

https://brainly.com/question/4344214

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