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

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)

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?​

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

Can You please help me
​

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

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.​

Find ULE in the triangle

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O Control group

Blocking

Placebo

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

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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?​

5.4+(-6.8)
Please help

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

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Cole made a scale drawing of the elementary school. The scale he used was
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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.
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d.
[tex]12 = \sqrt[]{144} \: true \: or \: false[/tex]
e.
[tex] \sqrt{ \frac{4}{9} } = \sqrt[ 3]{ \frac{8}{27} } \: true \: or \: false[/tex]
​

Which can provide the most energy in an ecosystem?

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

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

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

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

Use f(x) = 2x + 7 find f(2)​

Plz help point is 50

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

Please help I’m stuck!!!!

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

is 63 / 168 equivalent to 312 / 832 ​

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

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.

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

Find the slope intercept equation of the line