Two functions are shown in the table below.

Function - 1,2,3,4,5,6

f(x) = −x2 + 4x + 12
g(x) = x + 8
Complete the table on your own paper, then select the value that is a solution to f(x) = g(x).

x = 6
x = 3
x = 5
x = 4

Answers

Answer 1

Answer:

[tex](d)\ x = 4[/tex]

Step-by-step explanation:

Given

[tex]f(x) = -x^2 + 4x + 12[/tex]

[tex]g(x) = x + 8[/tex]

Required

Find x such that: [tex]f(x) = g(x)[/tex]

This gives:

[tex]-x^2 + 4x + 12 = x+8[/tex]

Collect like terms

[tex]-x^2 + 4x -x + 12 -8=0[/tex]

[tex]-x^2 + 3x +4 =0[/tex]

Expand

[tex]-x^2 + 4x - x+4 =0[/tex]

Factorize

[tex]x(x - 4) - 1(x-4) = 0[/tex]

Factor out x - 1

[tex](x- 1)(x - 4)=0[/tex]

Solve:

[tex]x =1\ or\ x = 4[/tex]


Related Questions

A baker has 10 pies. He will cut all the ples into pieces that are each of the whole ple.
How many pieces of pie will there be?

Answers

Answer:

I believe it to be 80 pieces if they are all cut into 8 pieces

Step-by-step explanation:

Answer:

I'm not sure how big each of the pieces of the pie are but I'm guessing 20 if each piece of pie is 1/2. Good luck on the question. Sorry I couldn't help you much.

Step-by-step explanation:

A translation is applied to the triangle formed by the points A (-1,4), B(-1,10), and C(3,6). The image is the triangle that has vertices. A’(3,4), B’(3,10), and C’(7,6).

The triangle was translated…

The answers:

4 units to then left

4 units up

4 units to the right

4 units down


Answers

4 units up i believe

WILL GIVE

BRAINLIST
...
.

Answers

Answer:

b. gain of 279 pounds

Step-by-step explanation:

107+85-27+114 = 279

Answer:

9100 + 107 + 85 - 27 + 114

Total weight = a. 9379 pounds

NEED HELP FROM SOMEONE SMART!!! A trapezoid's area can be calculated by the formula A = {(b + b2)h, where A stands for area, b, for the first base's length, b2 for the second base's length, and h for height. Find the area of the trapezoid below.​

Answers

Answer:   90 square meters

======================================================

Work Shown:

b1 = 14 and b2 = 6 are the two parallel bases

h = 9 is the height

A = area of trapezoid

A = h*(b1+b2)/2

A = 9*(14+6)/2

A = 9*20/2

A = 9*10

A = 90 square meters

8. If AC = 2x + 2 and GF = 4x - 14, find the value of x.
help please??

Answers

Answer:

x=8

Step-by-step explanation:

2x+2 = 4x-14

16=2x

x=8

Suppose A and B are independent events. If P(A) = 0.6 and P(B) = 0.85, what is P(A and B)?
A. .34
B. .51
C. .17
D. .68

Answers

Answer:0.51 I just took the test

Step-by-step explanation:

suppos f(x) = x^3 find the graph of f(x+1)

Answers

Answer:

(x+)^3

Step-by-step explanation:

What is the value of x???

Answers

Answer:

x=63

Step-by-step explanation:

The degree measure of a line is 180 degrees.

180 degrees is made up of 117 and x

117+x=180

x=63

Help me out! I’ll give Brainly :) thank you!!

Answers

5^2-2(5)
25-10
F(5)=15

Answer:

f(5) = 15

Step-by-step explanation:

To evaluate f(5) substitute x = 5 into f(x) , that is

f(5) = 5² - 2(5) = 25 - 10 = 15

i need help with this math

Answers

Answer:

Perimeter = 56

Area = 196

Step-by-step explanation:

We use the Pythagorean theorem to calculate the half-length of the sides (a):

a² + a² = (7√2)²2a² = 7² * 22a² = 98a = 7

Half of a side is 7, meaning that the full length is 14.

With that in mind we can calculate the perimeter and area:

Perimeter = 14 * 4 = 56Area = 14² = 196

y are selling lollipops for $0.50 and candy bars for $1.50.
Lydia buys 6 lollipops and some candy bars.

If she spends $15 in total, how many candy bars, b, did Lydia buy?

Answers

Answer:

b=8

Step-by-step explanation:

You multiply $0.50 by 6 (to get the amount of money she spent on lollipops)=3 then you take the 3 and subtract it from $15 which gives you 12, finally you get 1.50-12 and do that 8 times which means she bought 8 candy bars

Maria sold 50 books, or
30% of her book collection,
at a garage sale. How many
books were in Maria's
collection?


No links please

Answers

Answer:

167 books.

Step-by-step explanation:

30% =  50 books

1% = 50/30

100% =  (50/30) * 100

= 167 books.

Two of the vertices of a triangle are located at (6,0) and (5,10) on the coordinate plane. The third vertex is located at (x,20) , where x is a negative value. The area of the triangle is 60 square units.

Using the shoelace formula (Green’s Theorem) in counterclockwise fashion, write an equation that can be used to find the value of x .
PLEASE I NEED HELP! ASAP I WOULD REALLY APPRECIATE IT!!

Answers

The answer is 1,1 . 3,-3, 5, -3

Using the shoelace formula (Green’s Theorem) in counterclockwise fashion, the value of x is -8.

What is Shoelace formula ?

Area of Polygon can be calculated using Shoelace formula described by Mathematician and Physicist Carl Friedrich Gauss where polygon vertices are described by their Cartesian coordinates in the Cartesian plane.

A = [tex]\frac{1}{2} |x_{1} y_{2} +x_{2} y_{3}+........x_{n-1}y_{n} +x_{n} y_{1} -x_{2} y_{1} -x_{3} y_{2} - ........-x_{n}y_{n-1}-x_{2}y_{n} |[/tex]

Shoelace formula (Green’s Theorem)

A = [tex]\frac{1}{2} |x_{1} y_{2} +x_{2} y_{3}+........x_{n-1}y_{n} +x_{n} y_{1} -x_{2} y_{1} -x_{3} y_{2} - ........-x_{n}y_{n-1}-x_{2}y_{n} |[/tex]

Where A is the area of the polygon and n is the number of sides of the polygon.

Here A = 6, n = 3, [tex]x_{1}[/tex] = 6, [tex]y_{1}[/tex] = 0, [tex]x_{2}[/tex] = 5, [tex]y_{2}[/tex] = 10, [tex]x_{3}[/tex] = [tex]x[/tex], [tex]y_{3}[/tex] = 20

A = 60 = [tex]\frac{1}{2} |(6.10)+(5.20)+(x.0)-(5.0)-(x.0)-(6.20)|[/tex]

60 = [tex]\frac{1}{2} |60+100-10x-120|[/tex]

60 = [tex]\frac{1}{2} |40-10x|[/tex]

60 = [tex]|20-5x|[/tex]

So 20 - 5x = -60

5x  = 80

x = 16

20 - 5x = 60

5x  = -40

x = -8

since x is a negative value,

we can know x = -8

Hence the value of x is -8.

Find out more information about green's theorem here

brainly.com/question/27549150

#SPJ2

find the area of this parallelogram with the measurements 5.2cm and 8.4cm​

Answers

Answer:

43cm square

Step-by-step explanation:

A= bh

A=8.4cm x 5.2cm

A=43.68cmsqr

What is the Tan J? URGENT HELP PLS

Answers

Answer:

4th Option, [tex]\frac{12}{5}[/tex]

Hope this helps!

Can someone help me please

Answers

Answer:

4) 60 ft.²

5) 96 cm.²

6) 96

7) 126

8) 72

9) 32

10) 90

11) 216

(Formula for the area of a rectangle: length x width)

(Remember to follow PEMDAS when calculating the problems.)

Plz help me well mark brainliest if correct!!.....

Answers

Answer:

D

Step-by-step explanation:

Do I need to explain?

Answer:

D(8)

Step-by-step explanation:

So remember, 2 opposite sides of a triangle are equivelent.

We know that one of these sides are 3.

So the other side must be 3 as well.

This is 2 of the 4 sides of a rectangle.

If each side is 3, and there are two sides, this means that they add up to 6.

Subtract this from your total permiter:

22-6

=

16

Now remember, there are 2 sides left.

To find the answer, divide the 16(permiter left) by the 2(sides left):

16/2

=

8

This is your answer!

Hope this helps! :)

Can someone answer this please l

Answers

Answer:

Step-by-step explanation:

(5a + 18) + (48 - a) + (8a - 30) = 180 (Angles on a straight line)

5a + 18 + 48 - a + 8a - 30 = 180

12a + 36 = 180

12a = 180 - 36

a = 144/12

a = 12

therefore, the first angle is, 78 degree, second angle is 36 degree and third angle is 66 degree.

Therefore, the size of the smallest angle is 36 degree

180=5a+18+48-a+8a-30
144=12a
a=12
The middle angle= 36 degree
Give me brilliant

help pls!!!! would be appreciated thank you

Answers

Answer:

fairly sure its not the fourth one or the second one- so that narrows it down to the first and third one

Step-by-step explanation:

I have no idea how to solve this

Answers

Answer:

awww neither do i

Step-by-step explanation:

lol I got a 72 on my matb homework going to go jump off a cliff

The dot plots show the heights of boys and girls at a summer camp. Heights of Boys and Girls at Camp 2 dot plots with number lines going from 40 to 60. A plot is titled Boy's Heights. There are 0 dots above 40, 1 above 41, 3 above 44, 3 above 46, 2 above 48, 3 above 50, 4 above 52, 4 above 54, and 0 above 56, 58, and 60. A plot is titled Girl's Heights. There are 0 dots above 40 and 41, 2 dots above 44, 3 above 46, 1 above 48, 3 above 50, 4 above 52, 3 above 54, 4 above 56, and 0 above 58 and 60. Which is a true statement for most of the data in each plot? Most of the data in each plot are greater than 48. Most of the data in each plot are less than 48. Most of the data in each plot are around 52. Most of the data in each plot are around 54.

Answers

Answer:

A- most of the data in each plot is greater than 48

Step-by-step explanation:

took the test

Answer:

a

Step-by-step explanation:

a

given the degree of measure of angle KJH is 66 degrees find the measure in radians​

Answers

9514 1404 393

Answer:

  E)  0.366π

Step-by-step explanation:

There are π/180 radians in a degree.

  66° = 66°(π/180°) = (66/180)π = 11/30π ≈ 0.366π radians

__

11/30 = 0.366... repeating, so would normally be rounded to 0.367

Write an inequality for the graph

Answers

The open circle means the inequality will be greater than or equal to (≥) or less than or equal to (≤).
A closed circle means the inequality will be greater than (>) or less than (<)

An arrow pointing right to increasingly positive values means the inequality is getting greater (> or ≥)
A narrowing pointing left to increasingly negative values means the inequality is getting lesser (< or ≤)

So for this graph with an open circle and rightward pointing arrow, “x” will be some number on the number line greater than the first point of -38:
x > -38

What is the volume, in cubic cm, of a rectangular prism with a height of 10cm, a width of 20cm, and a length of 11cm?

Answers

Answer:

2200 cubic cm

Step-by-step explanation:

The volume of a rectangular prism is found using the formula:

V = l*w*h

V = 10 cm * 20 cm * 11 cm

V = 2200 cubic cm

Answer: 2200

Step-by-step explanation:

The graphs below have the same shape. What is the equation of the blue
graph?

Answers

Answer:

Your answer is C

Step-by-step explanation:

You first look at what is in the parenthesis, and you do the opposite. In this case the opposite of one to the right is -1. Then you look on the outside of the equation. The graph when down three places, so -3

Evaluate the expression 18 - 5 + 4 / 5 x 1

Answers

Answer:

18 - 5 + 4 / 5 x 1

18-5+4/5

13+4/5

(75+4)/5

79/5

hope it is helpful to you

PLEASE PLEASE PLEASE look below I am crying

Answers

Answer:

it's C

Step-by-step explanation:

Imagine a coordinate plane. Move 5 units away, you'll end up with (-5, 2).

Hope I helped

Select all the equations that are equivalent

Answers

Answer:

52=8n +4

4=52-8n

are equivalent

Answer:

a, b, c, e

Step-by-step explanation:

4(2n + 1) = 52 is the same as 52 = 8n + 4 if you use distributive property.

4 = 52 - 8n is the same as 52 = 8n + 4. The 8n is just subtracted from both sides.

4n = 48 is not the same as 4(2n + 1) = 52 or 52 = 8n + 4 or 4 = 52 - 8n.

n = 6 is the solution to the equation so it is equivalent.

(−10x^2+9)+(8x^2 −5x+7)

Answers

Answer:

-2x^2-5x+16

Step-by-step explanation:

Remove parenthesis:

-10x^2+9+8x^2-5x+7

Combine like terms:

-10x^2+8x^2-5x+9+7

= -2x^2-5x+9+7

=-2x^2-5x+16

What is the equation of a circle with center at (4, -2) and a radius of 7?

Answers

let h= 4, k=-2 and r= 7 then

(x-h)^2 + (y-k)^2 = r^2

(x-4)^2 + (y+2)^2 = 7^2

x^2 -8x +16 + y^2 +4y +4 = 49

x^2 +y^2 -8x +4y +16 +4-49 = 0

x^2 + y^2 -8x +4y -29 = 0 is the required eq

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