4. What are the zeroes
of y = x^2 + 2x – 8? (1 point)
-4, 2
4, 2
-4,2
4, 2

Answers

Answer 1

Answer:

-4,2

Step-by-step explanation:

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

x-2=0

x=2

x+4=0

x= -4

Answer 2

Answer:

x=-4, x=2

Step-by-step explanation:

Whenever a question asks you to find the zeros of a quadratic equation, they are essentially asking you to find the x-intercepts. To find the x-intercepts, you simply need to equate y to zero and solve for x.

There are two main ways to find the intercepts - by the quadratic formula and factoring. I will demonstrate both below.

When factoring, a popular method is the diamond box method. First, make an x on your paper. In the top nook of the x, write the product of a and c in y=ax^2 +bx +c. Here, it is -8*1=-8. In the bottom nook, write the b value. Here it is 2. Find two numbers that multiply to ac or -8 and add up to b or 2 and write them in the side nooks. In this problem, they are 4 and -2 (4*-2=-8 and 4+(-2)=2). Then, make a box. On the top left corner, write the first term (here it is x^2) and on the bottom right corner write the constant term (here it is -8) and write the two values you found earlier in the remaining boxes. Now, find values that multiply to each of the respective terms. Sorry, this sounds super confusing, I have included a picture below of what the result should look like. Once you have it factored, make y equal to zero and solve for both x's. You should get x=2 and x=-4. Keep in mind, sometimes, a problem might not be factorable. If it isn't, you have to use the method below.

Another popular way to find the roots is the quadratic formula. I have included a picture of it below. All you have to do is substitute the coefficients in and solve for x. You should get two solutions in this scenario.

4. What Are The Zeroesof Y = X^2 + 2x 8? (1 Point)-4, 24, 2-4,24, 2
4. What Are The Zeroesof Y = X^2 + 2x 8? (1 Point)-4, 24, 2-4,24, 2

Related Questions

If the perimeter of a rectangle is 6x^2-2x+14 and the length is x^2-x+8 what is the measure of the width?

Please help!!

Answers

Answer:

w = 2x^2-2x+15

Step-by-step explanation:

Since the formula to find the perimeter is P=2l+2w, use this to set up your equation:

6x^2-2x+14 = 2(x^2-x+8) + 2w

Then, distribute the 2 to everything inside the parentheses.

6x^2-2x+14 = 2x^2-2x+16 + 2w

Subtract 2x^2-2x+16 from both sides, leaving you:

4x^2-4x+30 = 2w

Divide 2 from both sides.

2x^2-2x+15

The answer is 2x^2-2x+15

Which of the following is a possible situation for the graph shown?

Answers

Step-by-step explanation:

but the graph is not given here

The sum of two consecutive even numbers is 214. What are the numbers?​

Answers

Step-by-step explanation:

since they are consecutive even numbers, one is bigger by 2 than the other number.

so,

x + (x + 2) = 214

2x + 2 = 214

x + 1 = 107

x = 106

so, the 2 numbers are 106 and 108.

the ratio of adult to children in the spot club is 5:3 There are 120 people in the club. how many children are there​

Answers

Answer:

5:3=8

3/8 x 120

3/1 x 15

3 x 15=45

Step-by-step explanation:

hope this helps

sorry

You start by making an equation:

3x+5x=120

Then combine like terms

8x=120

Divide 8 by both sides

x=15

Now that we have that we can figure out how many children and adults there are

Children: 3x15=45 children
Adults: 5x15=75 adults

Also, you can type this in your calculator for a faster method

Children : 120 x(3/8) =45
because eight is the sum of the ratio 5+3

And Adults : 120 x(5/8)=75

So the answer to your question is 45 children.

Hope this helps!!!

Find the volume of the largest right circular cylinder that can be inscribed in a sphere of radius 6

Answers

Answer:

c.

took the test

Step-by-step explanation:

theres the picture i dont know how to write it out.​

Answers

Answer:

x > -2

Step-by-step explanation:

As the circle in the number line is not filled, it will not include -2 and as the number line starts from -2 and goes right it will be x > -2.

Hope this helps!!

PLEASEEE HELP ME WITH THIS!!!

Answers

Answer:

m∠H = 10°

Step-by-step explanation:

ΔFGH is an isosceles triangle. I made a diagram, so m∠F ≅ m∠H by B.A.T(base angle theorem). This is because an isosceles triangle have to congruent sides and angles.

Diagram is attached:

-Chetan K

Determine if the triangles are similar. If similar, choose how and also choose the correct similarity statement.
Select 2 correct answer(s)
SAS
SSS
AA
Not Similar
△LMN ~ △GHN
△LNM ~ △GHN
△MLN ~ △GHN

Answers

Answer:

SAS∆LMN ~ ∆GHN

Step-by-step explanation:

If the long segments have the same ratio as the short segments, then corresponding sides of the large and small triangles are proportional.

  LG/MH = 12.5/10 = 1.25

  GN/HN = 40/32 = 1.25 . . . . so the triangles are similar

__

The proportional side pairs are LN and GN, MN and HN. Angle N is between those side pairs, so the SAS criterion applies.

Since corresponding vertices are (L, G), (M, H), and (N, N). ∆GHN will be similar to ∆LMN.

A rectangle has an area of 24cm Function f gives the length of the rectangle, in centimeters when the width is w cm. Determine if each value,
in centimeters, is a possible input of the function

3 0.5 42 60

Answers

Answer:

Yes

Step-by-step explanation:

f = 24/w

Just plug in each one, would only be an error if denominator would = 0

22 divided by a number s in algebraic expressions

Answers

Answer:

22 divided by a number s

Step-by-step explanation:

[tex] \frac{22}{s} [/tex]

Bob bought 2Ibs of apples for $6. Explain how to find the unit rate and give the meaning of unit rate​

Answers

Answer:

Unit rate is 3

Step-by-step explanation:

The unit rate means the value of ONE unit.

In this case, it would be the value of ONE pound of apples.

I divided 6 by 2, which gave me THREE.

Help me with this hw plz

Answers

Answer:

here

Step-by-step explanation:

А. parallelogram .............

Answer: A
Step-by-step explanation:

An Earth worm Moves at a
distance of 45cm in 90 secondo
find the speed of the earth
worm

(I need to know how to lay it out as well)

Answers

Answer:

if the units is in m/s

Step-by-step explanation:

first work out using this triangle.

distance= speed x by time

so if we're trying to find out the speed we reaarange the triangle to :

   distance

---------------------

speed x   time

so speed = distance divided by time

distance = 45cm

divided by time = 90 seconds

But the units are cm and should be metres per second

change 45cm to m

that is 45cm = 45/ 100 = 0.45

0.45/ 90= 0.005cm

answer = 0.005 metres per second( m/s)

plz say thanks + rate !

plsss help me again:((((​

Answers

C B (3x-3)

hope it helps

#carry on learning

Marc has 45 books on his bookshelf, and Corinna has 61. If Marc buys 4 new books each month and Corinna buys 2 new books each month, after how many months will Marc and Corinna have the same number of books?

Define the variable:_________________________________________



Write the equation: _________________________________________


Solve the equation in the space below. Show your work

Answers

Call x as the number of months that Marc and Corinna have the same number of book.
45 +4x= 61 +2x
4x- 2x= 61-45
2x= 16
x= 8

A boy is launching a toy rocket he got for his birthday from the top of an 80 ft building. The function representing
the height is f(0) = -16x? +64x + 80 where x represents time in seconds.
How many seconds did it take the rocket to reach it's maximum height?
A
144 sec
B)
2 sec
Eliminate
1.5 sec
D)
128 sec

Answers

Answer:

2 seconds, assuming the "?" in the equation is supposed to be ^2 (the exponent of 2):  f(h) = -16x^2 +64x + 80

Step-by-step explanation:

You can either graph the functuion or take the first derivative to find the maximum height.  The first derivative will give us the slope for a values of x.  The slope at the top height of the rocket is zero, since it has stopped and is starting it's way back down.

First Derivative:

f(x) = -16x^2 +64x + 80

f'(x) = -32x + 64

Set this equal to zero and solve for x

0 = -32x + 64

x = 2 seconds.

Use 2 seconds in the original equation to find the height at 2 seconds.

f(2) = -16x^2 +64x + 80

f(2) = -16(2)^2 +64*(2) + 80

f(2) = 144 feet

Graph:

A graph is attached.  You can locate the maximum at (2,144)

please answer the all questions​

Answers

Answer:

e)

a = 58°

alternate angles

b = a = 58°

Triangle is scalene (indicated by the 2 dashes on the triangle)

d = 180 - (58*2)

d = 64°

c = 58°

use either 180- (64+58)

which is angles in a straight line = 180 total

or

alternate angles

b = c = 58

f) x = 50°

alternate angles

y+z = 180-50

y+z = 130

we know that y = z

scalene triangle indicated by arrows (both bases are same angle)

so 130/2 = y and z

65 = y

65 = z

g) x = 55

alternate angles

on the diagram take the triangle which has x and y

you can see 95° outside the triangle, it’s on a straight line and will help us find the third angle for that triangle

180-95 = 85

180 - (85+55) = y

y = 40

z = y = 40

alternate angles

h)

180-78 = 102

beside angle a would be the angle 2a

alternate angles (look at the photo)

180 = 102 + a + 2a

180 = 3a + 102

78 = 3a

a = 26°

2a = 52

b = 26

use either alternate angles

a = b

or total angles in a triangle = 180°

102 + b + 56 = 180

b = 180-52-102

which symbol would best replace the question mark below​

Answers

Answer:

C?

Step-by-step explanation:

An acute angle of a right-angled triangle is twice the other acute ongle find them​

Answers

Answer:

30° and 60°

Step-by-step explanation:

An acute angle of a right-angled triangle is twice the other acute ongle find them​

the sum of the internal angles of a triangle is 180 °, take away the right angle (90 °) and divide by three, and you find one of the unknown angles, you multiply it by 2 and you find the other unknown angle

(180 - 90) : 3 = 30

30 * 2 = 60

----------------------

check

90 + 30 + 60 = 180°

the answer is good

Josh is painting all the walls in his room that is 3m x 4m and 2.75m high, How much paint in square feet is needed?

Answers

Answer:

33

Step-by-step explanation:

3*4*2.75=33

x + 3y = 5
x + 2y = 3
Solve by using elimination​

Answers

Answer:

  (x, y) = (-1, 2)

Step-by-step explanation:

The variable x has the same coefficient in both equations, so we can eliminate x by subtracting one equation from the other. We notice the y-coefficient is greater in the first equation, so we want to subtract the second equation. This will ensure that the remaining y-term has a positive coefficient. (That is not required by the elimination method, but it helps reduce mistakes.)

  (x +3y) -(x +2y) = (5) -(3)

  y = 2 . . . . . . . simplify

  x =3 -2y = 3 -2(2) = -1 . . . . . use the second equation to find x

The solution is (x, y) = (-1, 2).

A group of 12 adults and 26 children go to a theme park.
The total cost of tickets is £1804.80.
An adult's ticket costs £51.60
Find the cost of a ticket for a child.

Answers

Answer:

I don't have the Pound Sterling sign on my keyboard but the answer is $45.60

Step-by-step explanation:

Since each adult ticket costs $51.60 and there are 12 adults

The total cost of adult tickets = $51.60*12=$619.20

Then take the total cost of tickets and subtract $619.20 from it

$1804.80-619.20=$1185.60 that's the total cost of children's tickets

Since there are 26 children you have to divide that answer by 26 to get it

$1185.60/26=$45.60


Create a random triangle, ABC Measure and record its angles.

Answers

Answer:

a. 3.5  

b.5.4

c 2.6  

Step-by-step explanation:

/\_

Krutika is 11 years older than Gordon. Pip is 12 years younger than Gordon. If the total of their ages is 77, how old is the youngest of them?​

Answers

Step-by-step explanation:

kruitika- 42

Gordorn-31

so krutila was 11 when they gave birth to Gordon

she was 23 when they gave birth to pip

The youngest of them is pip so pip is =19

8x -2 + (4x - 1)(4x+1) = 0

Answers

Answer:

8x - 1 + 16x²

Step-by-step explanation:

8x - 2 + (4x - 1)(4x+1) = 0

=> 8x - 2 + 16x² + 4x - 4x - 1

=> 8x - 2 + 16x² - 1

=> 8x - 1 + 16x²

Therefore, 8x - 1 + 16x² is our answer

At this rate how many min. Does it take Ben to run 2 miles, swim 2 miles, and bike 2 miles

Answers

Run : 2 miles in half an hour or 30 mins
Swim : 2 miles in a third of an hour or 20 mins
Bike : 2 miles in an eight of an hour or 7.5 mins

82837848+8383830.84-73327.00.73 =?

Answers

Answer:

91148351.8327

Step-by-step explanation:

Calculator

A ball is thrown directly upward from height of 2 ft with an initial velocity of 24 ft/sec. The function is s(t)=-16 t^2+24t+2 give the height of the ball, in feet, t seconds after it has been thrown. Determine the time at which the ball reflects its maximum height and find the maximum height.

Answers

Answer:

time: 0.75 secondsheight: 11 feet

Step-by-step explanation:

A graphing calculator shows you the maximum height of 11 feet is reached after 0.75 seconds.

__

A quadratic of the form ax² +bx +c has its vertex at x=-b/(2a). Here that means the time to the maximum height is ...

  t = -24/(2(-16)) = 24/32 = 3/4 . . . seconds to maximum height

The height at that time is ...

  s(3/4) = (-16(3/4) +24)(3/4) +2 = (-12 +24)(3/4) +2 = 9 +2

  s(3/4) = 11 . . . . feet at maximum height

How do I find x in this ?

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The Correct choice is ~

[tex]x = 450[/tex]

Refer to attachment for solution ~

100 POINTS ANSWER QUICK

A sphere has a diameter of 9 inches.

What is the volume of the sphere rounded to the nearest tenth?

Use 3.14 for pi.


95.4 in³

381.5 in³

763.0 in²

3052.1 in³

Answers

Radius=r=9/2=4.5in

Now

Volume=

4/3πr³4/3π(4.5)³121.5π381.5in³

Option B

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