Actual roots of f(x)=2x^2+2x-24

Answers

Answer 1

[tex]f(x) = 2 {x}^{2} + 2x - 24 [/tex]

[tex]f(x) = 2( {x}^{2} + x - 12) [/tex]

[tex]0 = 2( {x}^{2} + x - 12)[/tex]

Divided sides by 2

[tex] {x}^{2} + x - 12 = 0 [/tex]

[tex](x + 4)(x - 3) = 0[/tex]

_________________________________

[tex]x + 4 = 0[/tex]

[tex]x = - 4[/tex]

_________________________________

[tex]x - 3 = 0[/tex]

[tex]x = 3[/tex]

Thus the actual roots are -4 and 3.....

And we're done.

♥️♥️♥️♥️♥️

Answer 2

Answer:

x= 3, -4

Step-by-step explanation:

Set  2 x ² +  2 x  −  24  equal to  0 .

   2 x   ² +  2 x  −  24  =  0

Solve for  x .

Factor the left side of the equation.

2 ( x²   +  x  −  12 )  =  0

Factor  

x  ² +  x  − 12  using the AC method.

2 ( x  −  3 ) ( x  +  4 )  =  0

If any individual factor on the left side of the equation is equal to  0 , the entire expression will be equal to  0 .

x − 3 = 0

x + 4 = 0

Add  3  and subtract 4 to both sides of the equation.

x = 3

x = -4


Related Questions

Solve the equation for x 6x-18-3x<27-2x

Answers

Answer:

x<9

Step-by-step explanation:

a dice numbered 1-6 is rolled 20 times.How many times will a number less than 4 show?
a.5
b.10
c.15
d.never

Answers

i believe it’s 10. hope this helps

Will mark brainliest!! Determine the slope of the line

Answers

Answer:

1/2

Step-by-step explanation:

y2 - y1. over. x2 - x1

What’s 7 1/2 - 1 2/7

Answers

87/14 or 6 3/4. That's an improper fraction and then a mixed fraction. Same answer though

The answer is: 6 3/14

You find a common denominator which would be 14.

7 1/2 becomes 7 7/14.

1 2/7 becomes 1 4/14

When you subtract 7 1/2 - 1 4/14 it equals 6 3/14

i can't figure it out

Answers

Answer:

see explanation

Step-by-step explanation:

Given

x - 6y = 18

To find the x- intercept let y = 0 in the equation and solve for x, that is

x - 0 = 18

x = 18 ← x- intercept ⇒ (18, 0 )

To find the y- intercept let x = 0 in the equation and solve for y, that is

0 - 6y = 18

- 6y = 18 ( divide both sides by - 3 )

y = - 3 ← y- intercept ⇒ (0, - 3 )

PLEASE HELP ME If the mamba roller coaster at worlds of fun speeds up from 10mph to 78mph in 2s what is the acceleration?

Answers

34 mph per second in acceleration.

How do you make (39x5) in distributive property

Answers

39(5) is the answer.

Answer:

Assuming you are asking the simple question of 39x5=195

Step-by-step explanation:

By taking 9x5 = 45 and 3x5 = 15 add 4 to 15.

Your school district cancels school when more than 2.5 inches of snow accumulate on the ground each hour. Snow is currently accumulating at a rate of 115 inches per hour. Select an inequality that represents the extra snow accumulation s (in inches per hour) needed to cancel school. Then solve the inequality.
A11/5 + s > 2.5
B 11/5 + >= 2.5
C 11/5 - s > 2.5
D 11/5 - s >= 2.5

Answers

Answer:

it is A ll/5 +s>2.5

Step-by-step explanation:

Cameron found a jacket marked 20% off. If the original price is $90, how much is the discount?

Answers

Answer:

$18.

On your calculator subtract 20% from 90, which will get you 18. The new price would now be $72.

What number is 10 times greater than 0.03? (Hint: Write it out as a MATH problem).
3.0
0.3
0.003
0.030

Answers

Answer:

0.3

Step-by-step explanation:

10 x 0.03 = 0.3

Algebra II Question Four 4-2 HW

Answers

Answer:

2

Step-by-step explanation:

Find the value of x.
81°
39°
X=??


PLEaSE ILL GIVE YOU BRAINLIEST AND 15 POINTS

Answers

Answer:

It's "P"

Step-by-step explanation: Please give me my 15 points

Answer:

X= 60º

Step-by-step explanation:

If you are solving for a ∆, a ∆ has a degree of 180º. This thus when added up gets you.

81º + 39º = 120º

180º - 120º = 60º

Therefore in conclusion, X would be 60º.

Which equation can you create with the given information? m=6, b=-2 A.) y=6x-2 B.) y=6x+2 C.) y=2x+6 D.) y=-2x-6

Answers

Step-by-step explanation:

Hey there!

Your answer is Option A.

Check all:

A. y = 6x-2

Comparing the equation with y = mx+b, we get;

m= 6

and b= -2

B. y= 6x+2

Comparing the equation with y= mx+b, we get;

m = 6

b= 2

C. y = 2x+6

Comparing the equation with y= mx+b, we get;

m= 2

b = 6

D. y= -2x-6

Comparing the equation with y= mx+b, we get;

m= -2

b= -6

Therefore, Option A is correct answer.

Hope it helps...

What is 32.6 rounded to the nearest hundredth?

Answers

This the answer in decimal form as well good luck hope this help (my bad if it didn’t )

help, you matter and i love you <3

Answers

Answer:

im so sad

Step-by-step explanation:

simplify 5(b – 4) + 12 and do a step by step

Answers

first distribute the 5 so u should hv 5b-20 then add 12 to that which is 5b-8 which is the simplified version!

im really confused lol

Answers

i think if u divide 27 by 4 u should get the anwser so G should be ur anwser !!!!

PLZZZ HELP!! I WILL GIVE BRAINLIEST

Answers

Answer:

I say answer number 2

Step-by-step explanation:

The answer to that is B I think

Find the perimeter and area of the figure if each unit on the graph measures 1 centimeter. Round answers to the nearest tenth, if necessary. A(0,9) B(4,9) C(0, 1)​

Answers

Answer:

Area = 16 cm²

Perimeter = 20.9 cm

Step-by-step explanation:

To find the perimeter and area of the given triangle length of all sides of the given triangle will be required.

Use the formula to determine the distance between two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex],

d = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Distance between A(0,9) and B(4, 9),

AB = [tex]\sqrt{(4-0)^2+(9-9)^2}[/tex] = 4 cm

Distance between A(0,9) and C(0, 1),

AC = [tex]\sqrt{(0-0)^2+(9-1)^2}[/tex]

AC = 8 cm

Distance between B(4, 9) and C(0, 1),

BC = [tex]\sqrt{(4-0)^2+(9-1)^2}[/tex]

BC = [tex]\sqrt{16+64}[/tex]

     = [tex]\sqrt{80}[/tex]

     = [tex]4\sqrt{5}[/tex]

     = 8.9 cm

Area of ΔABC = [tex]\frac{1}{2}(\text{AC})(\text{AB})[/tex]

                        = [tex]\frac{1}{2}(8)(4)[/tex]

                        = 16 cm²

Perimeter of the triangle = AB + AC + BC

                                         = 4 + 8 + 8.9

                                         = 20.9 cm

Is the inverse of the function shown below also a
function? Explain your answer.

Answers

Answer:

Yes it is

Step-by-step explanation:

It is a function because it passes the vertical line test

Answer:

If the graph passes the horizontal-line test, then the function is one-to-one. Functions that are one-to-one have inverses that are also functions. Therefore, the inverse is a function.

Step-by-step explanation:sample answer

Which statement describes the rate of change of the following function?
f(x) = -2x + 9

A.
The function has a varying rate of change when x 9.
C.
The function has a constant rate of change, decreasing for all x at a rate of 2.
D.
The function has a constant rate of change, increasing for all x at a rate of 9.

Answers

Answer:

C,

Step-by-step explanation:

2(4+c)=67 help solve for c

Answers

Answer:

c = 29.5 or

c = 59/2

Step-by-step explanation:

2 (4 + c) = 67

8 + 2c = 67

8 - 8 + 2c = 67 - 8

2c = 59

c = 29.5

Which number completes the table for y=x^2?

-9
9
6
-6

Answers

Answer:

9

Step-by-step explanation:

Plug-in -3 into y=x^2 to get 9.

9. Plug in the -3 to the x so you can solve the exponent.

The equation below describes a proportional relationship between x and y. What is the constant of​ proportionality?
y= 2/5x

Answers

Answer:

10

Step-by-step explanation:

Elise jarred 36 liters of jam after 6 days.How many days does Elise need to spend making jam if she wants to jar 48 litera of jam in all?Assume the relationship is directly proportional.​

Answers

Answer:

The answer is 8 days.

Step-by-step explanation:

36 divided by 6 is 6. So we do 48 divided by 6 which is 8. Both 36 and 48 can be divided by 6.

which expression is equivalent to -10 (-40) + (-90) ?

A. 10 + 40 + 90

B. -(10-40) + (-90)

C. -10 - (40 - 90)

D. -10 + (-90) + (-40)


PLS HELP

Answers

Answer:B

Step-by-step explanation:-10 times -40 is -400 times -1 is 400.

find the percentage change from the first quantity to the second quantity: from 60 km/h to 45 km/h

Answers

Answer:

75%

Step-by-step explanation:

Find the sum of the two matrices: 17 12 −3 −2 + −4 −1 8 14 = w x y z w = x = y = z =

Answers

Answer:

w =

13

x =

11

y =

5

z =

12

Hilda adds 5 to a number, then multiplies the sum by negative 2. The result is 6. Write and solve an equation to find the number, x.
What is the number?
plssssssssssssssss

Answers

X = mystery number

(X + 5) * -2 = 6

X+ 5 = -3
X = -8

Given the function g(x)=x^2+3 ,evaluate (-2,y)

Answers

Answer:

im not sure if this is what you're looking for but g=x^4 and the y intercept is g(0)=0

Step-by-step explanation:

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