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

17. Generally speaking, which of the following is necessary to conduct either a single-blind or double-blind study?

O Control group

Blocking

Placebo

O Association​

Answers

Control group.

A single or double blind study means that either the participants or the researchers or both does not know who is in the control group and who is in the experimental group. This, there has to be a control group

Megan had some money in her wallet. Her mom gave her $38.25 to go shopping. Now Megan has fifty dollars. How much money did Megan have in her wallet before her mom gave her money?​

Answers

Answer:

$11.75

Step-by-step explanation:

50-38.25=11.75

Answer:

She had $11.75 in the beginning

Step-by-step explanation:

Subtract

50-38.25

you should get 11.75

hope this helps

take care

Continuous variable expected to show a statistical relationship with dependent variables are called ____

Answers

Answer:

Instant Variables

Step-by-step explanation:

A continuous variable is a variable defined as one which can receive an infinite set of values.

This continuous variable has two types namely instant variables and ratio variables.

Instant variables are those in which the distance between each category is equal or static. Meanwhile, ratio variables are those in which the ratio between the given scores provide information in regards to the relationship between the responses/dependent variables.

Thus, the one that corresponds to our question are instant variables.

Angel and his 2 sisters shared 1/2 cup of baby carrots. How many cups did they each get?​

Answers

Answer:

1/6 cup

Step-by-step explanation:

1/2 is to be split evenly between 3 people (Angel and his 2 sisters) so our equation is

1/2 ÷ 3 = 1/6

So, they each get 1/6 cup of baby carrots

Answer:

[tex]\frac{1}{6}[/tex] cups each.

Step-by-step explanation:

There is 1/2 of a cup of baby carrots available.

Angel and his 2 sisters would mean that there are 3 of them in all. Divide 1/2 with 3:

[tex]\frac{\frac{1}{2}}{3} = \frac{1}{2} * \frac{1}{3}[/tex]

Multiply across:

[tex]\frac{1}{2} * \frac{1}{3} = \frac{1}{6}[/tex]

Each person received [tex]\frac{1}{6}[/tex] of a cup.

~

A line passes through (-6, 10) and (4, -10). What is the slope?

Answers

m= -2 , hope this help you <3

Which can provide the most energy in an ecosystem?

a mushroom ,a coyote, a pine tree ,a grassy meadow

Answers

A pine tree because when the pine cones fall they drop seeds with them so if another pine tree grows double the energy. Hope this helps I might be wrong

Cole made a scale drawing of the elementary school. The scale he used was
1 centimeter : 2 meters. The school yard is 30 centimeters in the drawing. How wide is the
actual school yard?

Answers

Answer:

I think 60

Step-by-step explanation:

7. Which value of x makes the ratios equal?
x/12 =3/9

Answers

Answer:

x=4

Step-by-step explanation:

x/12 = 3/9x/12=1/3x=4cross multiplyy

Harry borrows $2,500 to purchase furniture for his new
apartment. If he pays $202.00 per month for 1 year
and 3 months, how much total interest will he pay?
a. $202
b. $530 c. $3,030 d. $5,530

Answers

Answer:

The answer is C

Step-by-step explanation:

elliot is moving a table through a doorway. The table is 2 5/8 ft wide and the doorway is 2 3/4 ft wide.​

Answers

Answer:

Elliot is able to move the table through, since 2 3/4 is more than 2 5/8.

Step-by-step explanation:

2 3/4 - 2 5/8 = 0.125

0.125 is a positive number.

So, Elliot is able to move the table through the doorway.

Please mark as Brainliest!!!

Write an equation of the line that passes through the given points. ​(-1,7) and (3,-5)

Answers

Answer:

y=-3x+4

Step-by-step explanation:

First, let's find the slope (m)

(-1,7), and (3,-5)

the formula is: (y2-y1)/(x2-x1)

we can label the points.

x1=-1

y1=7

x2=3

y2=-5

substitute into the equation

m=(-5-7)/(3--1)

m=(-12)/4

m=-3

Now let's use the equation for point-slope form, which is y-y1=m(x-x1)

using the labeled points from above:

y-7=-3(x+1)

do distributive prop

y-7=-3x-3

add 7 to both sides

y=-3x+4

mang pedro has 20 kilogram of rice.he will repack it in 1/2 kilograms per bag.how many bags will he need?​

Answers

Answer:

40

Step-by-step explanation:

20 x 2 because you will need 2 bags per kg

what is the correct answer ro this problem? 121 ÷ 11 = ?​

Answers

Answer:

11

Step-by-step explanation:

quik mafs

5.4+(-6.8)
Please help

Answers

Answer:

-1.4

Step-by-step explanation:

trust me :0

Answer:

-1.4

Step-by-step explanation:

Use f(x) = 2x + 7 find f(2)​

Answers

Answer:

i just want 100 points

Step-by-step explanation:

HAHHA BYE

f(x)=2x+7
f(2)=2•2+7
f(2)=4+7
f(2)=11

Find ULE in the triangle

Answers

u=71° E=49° and L=60° hope this helps
one is U is 71 hopefullt this helps

Can You please help me

Answers

C and E ❤️ Have a good day

is 63 / 168 equivalent to 312 / 832 ​

Answers

Answer:

No

Step-by-step explanation:

312 is not a multiple of 312 and 832 is not a multiple of 168.

Hope this helps :)

Answer:

They are equivalent.

Step-by-step explanation:

63 / 168 = 312 / 832

What is the area of a circle if it has a diameter of 14 units

Answers

Answer:

143.94 is the area of the circle

Find the slope intercept equation of the line

Answers

Answer:

y= -3/5x+4

Step-by-step explanation

The slope intercept equation of the line on the graph is Y= -3/5 + 4

Plz help point is 50

Answers

Answer:

Your answer would be Phoenix. Phoenix had a temperature of 8 degrees.

Step-by-step explanation:

the answer should be C

TIME SHEET - ACTIVITY 1


Ajax Manufacturing, Inc.

300 South Detroit Ave.

Anytown, OH 85226


Employee Name:________________________________


Date Start Time End Time Time Away Regular Hours

Dec. 1 8 a.m. 4:30 p.m. ½ hour 8










Overtime hours (hours over 40)

Can someone please help ASAP i have the time sheet if you need it :))

i will mark you brainiest


Here are Rick's hours of work:

On Dec. 1, Rick worked from eight o’clock a.m. to half past four o’clock p.m. He took a half-hour lunch break. (Completed for you.)
On Dec. 2, Rick worked from eight o’clock a.m. to half past four o’clock p.m. He did not take a lunch break.
On Dec. 3, Rick worked from eight o’clock a.m. to five o’clock p.m. He took a half-hour lunch break.
On Dec. 4, Rick worked from half past seven a.m. to half past four o’clock p.m. He took a half-hour lunch break.
On Dec. 5, Rick worked from seven o’clock a.m. to five o’clock p.m. He took a one-hour lunch break.
On Dec. 6, Rick worked from eight o’clock a.m. to noon. He did not take a lunch break.
On Dec. 7, Rick did not work.










Here are Rick's hours of work:

On Dec. 9, Rick worked from half past seven o’clock a.m. to half past four o’clock p.m. He took a half-hour lunch break.
On Dec. 10, Rick worked from seven o’clock a.m. to half past four o’clock p.m. He took a half-hour lunch break.
On Dec. 11, Rick worked from half past eleven o’clock a.m. to five o’clock p.m. He did not take a lunch break.
On Dec. 12, Rick worked from half past seven o’clock a.m. to half past five o’clock p.m. He took a one-hour lunch break.
On Dec. 13, Rick worked from half past seven o’clock a.m. to seven o’clock p.m. He took a one and a half-hour lunch break.
On Dec. 14, Rick worked from eight o’clock a.m. to five o’clock p.m. He took a one and a half-hour lunch break.
On Dec. 15, Rick did not work.

Answers

time sheet 1:

dec 1 is 8 hours

dec 2 is 8.5 hours

dec 3, is 8.5 hours

dec 4 is 8.5 hours

dec 5 is 8. 5 hours

dec 6 is 4 hours

all together is 46 hours

so overtime is 6 hours

timesheet 2:

dec 9 is 8.5 hours

dec 10 is 8.5 hours

dec 11  is 5.5 hours

dec 12 is 9 hours

dec 13 is 10 hours

dec 14 is 7.5 hours

total hours is 49 hours

over time is 9 hours

Scrat the squirrel has a few nuts. When he put them in groups of 5 nuts, two nuts were left, and
when he laid them out in groups of 3 nuts, there were no nuts left. How many nuts among the
options provided below could belong to Scrat?​

Answers

Answer:

The options are not shown, so i will solve this in a general way.

Let's suppose that there are N nuts

If we divide the N nuts into groups of 5, there will be a remainder of 2 nuts.

If we divide the N nuts into groups of 3, there is no remainder.

This means taht N is a multiple of 3. then we can write:

N = 3*k

where k is a random integer.

Now, we know that when we divide N by 5, there is a remainder of 2 nuts, this means that N is equal to a multiple of 5 plus 2, then we can write:

N = 5*j + 2

where j is a random integer.

Now we only need to find a pair of k and j (both positive integers) such that:

3*k = 5*j + 2

We can rewrite this as:

k = (5/3)*j + (2/3)

Now we could just input different values of j, and see if k is also an integer:

j = 2

k = (5/3)*2 + 2/3 = 10/3 + 2/3 = 12/3 = 4

Then the pair j = 2, k = 4 is a possible solution.

N = 3*k = 3*4 = 12

N = 5*j + 2 = 5*2 + 2 = 12

From this we can conclude that N = 12, so Scrat has 12 nuts.

Now with the equation

k = (5/3)*j + (2/3)

We can find other possible combinations of j and k, that will give different values for N.

for example, if j = 5:

k = (5/3)*5 + 2/3 = 25/3 + 2/3 = 27/3 = 9

Then the pair j = 5, k = 9 is also a possible solution:

N = 3*k = 3*9 =  27

N = 5*j + 2 = 5*5 + 2 = 27

In this case, Scrat has 27 nuts.

HERE ARE SOME LOVELY POINTS !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! PLEASE HELP KE

Answers

Answer:

Aww spanx! :) You are very kind!

Step-by-step explanation:

Answer:

Thanks if this is free points!

I'm truly sorry if this is an actual question because i cant see the pictures you attached :(

Step-by-step explanation:

              May I have brainiest I'm trying to level up!

                      </3 PureBeauty

<1 and <2 are complementary angles. the measure of <1 is 42°. The measure of <2 is 3x°. find the value of x.​

Answers

90-42=48

48=3x
48/3=16

x=17

There once was a ship that put to sea
The name of the ship was the Billy of Tea
The winds blew up, her bow dipped down
O blow, my bully boys, blow

Soon may the Wellerman come
To bring us sugar and tea and rum
One day, when the tonguin' is done
We'll take our leave and go

She had not been two weeks from shore
When down on her a right whale bore
The captain called all hands and swore
He'd take that whale in tow

Soon may the Wellerman come
To bring us sugar and tea and rum
One day, when the tonguin' is done
We'll take our leave and go

Before the boat had hit the water
The whale's tail came up and caught her
All hands to the side, harpooned and fought her
When she dived down low

Soon may the Wellerman come
To bring us sugar and tea and rum
One day, when the tonguin' is done
We'll take our leave and go

No line was cut, no whale was freed
The Captain's mind was not of greed
And he belonged to the whaleman's creed
She took that ship in tow

Soon may the Wellerman come
To bring us sugar and tea and rum
One day, when the tonguin' is done
We'll take our leave and go

For forty days, or even more
The line went slack, then tight once more
All boats were lost, there were only four
But still that whale did go

Soon may the Wellerman come
To bring us sugar and tea and rum
One day, when the tonguin' is done
We'll take our leave and go

As far as I've heard, the fight's still on
The line's not cut and the whale's not gone
The Wellerman makes his regular call
To encourage the Captain, crew, and all

Soon may the Wellerman come
To bring us sugar and tea and rum
One day, when the tonguin' is done
We'll take our leave and go

Soon may the Wellerman come
To bring us sugar and tea and rum
One day, when the tonguin' is done
We'll take our leave and go

Answers

There once was a ship that put to sea
The name of the ship was the Billy of Tea
The winds blew up, her bow dipped down
O blow, my bully boys, blow

Soon may the Wellerman come
To bring us sugar and tea and rum
One day, when the tonguin' is done
We'll take our leave and go

She had not been two weeks from shore
When down on her a right whale bore
The captain called all hands and swore
He'd take that whale in tow

Soon may the Wellerman come
To bring us sugar and tea and rum
One day, when the tonguin' is done
We'll take our leave and go

Before the boat had hit the water
The whale's tail came up and caught her
All hands to the side, harpooned and fought her
When she dived down low

Soon may the Wellerman come
To bring us sugar and tea and rum
One day, when the tonguin' is done
We'll take our leave and go

No line was cut, no whale was freed
The Captain's mind was not of greed
And he belonged to the whaleman's creed
She took that ship in tow

Soon may the Wellerman come
To bring us sugar and tea and rum
One day, when the tonguin' is done
We'll take our leave and go

For forty days, or even more
The line went slack, then tight once more
All boats were lost, there were only four
But still that whale did go

Soon may the Wellerman come
To bring us sugar and tea and rum
One day, when the tonguin' is done
We'll take our leave and go

As far as I've heard, the fight's still on
The line's not cut and the whale's not gone
The Wellerman makes his regular call
To encourage the Captain, crew, and all

Soon may the Wellerman come
To bring us sugar and tea and rum
One day, when the tonguin' is done
We'll take our leave and go

Soon may the Wellerman come
To bring us sugar and tea and rum
One day, when the tonguin' is done
We'll take our leave and go

tell whether each question is true or false.

a.
[tex] \sqrt[3]{60} = 20 \: true \: or \: false[/tex]
b.
[tex] \sqrt[3]{64} = \sqrt{16 \:} true \: or \: false[/tex]
c.
[tex]25 = \sqrt[3]{125} \: true \: or \: false[/tex]
d.
[tex]12 = \sqrt[]{144} \: true \: or \: false[/tex]
e.
[tex] \sqrt{ \frac{4}{9} } = \sqrt[ 3]{ \frac{8}{27} } \: true \: or \: false[/tex]

Answers

Answer:

E

Step-by-step explanation:

Me sale a mi

Answer:

a is false, b. is true, c. is true, d. is true

Step-by-step explanation:

There is a lower limit but no upper limit for a random variable that follows the _____ probability distribution.

a. normal
b. uniform
c. binomial
d. exponential

Answers

Answer:

d.exponential is answer

Step-by-step explanation:

I hope it's helpful!

Please help I’m stuck!!!!

Answers

Answer: abe

Step-by-step explanation: start at origin and is proportional

A doghouse is to be built in the shape of a right trapezoid, as shown below. What is the area of the
doghouse?

Answers

A: 59.5ft^2

You need to add the top length and the bottom length, and then multiply that answer by the vertical height of the shape.

7 + 10 = 17
17/2 = 8.5
8.5 x 7 = 59.5

You can also double check this by working out the area of the square and then the area of the triangle, and adding them together.

7 x 7 = 49
7 x 3 = 21
21/2 = 10.5
49 + 10.5 = 59.5
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