For all values of x,
f(x) = 2x-3 and g(x) = x²+1

a) Find fg(x)
Simplify and give your answer in the form ax² + b

b) Find gf(x)
Simplify and give your answer in the form ax² + bx+c

Answer:

104

Step-by-step explanation:

sso if you use the angle right it looks just right

Answer:

[tex] m\angle EFG = 52\degree[/tex]

Step-by-step explanation:

By inscribed angle theorem:

[tex] m\angle EFG =\frac{1}{2} m\angle EDG[/tex]

[tex] (x+51)\degree =\frac{1}{2}(10x +94)\degree [/tex]

[tex] (x+51)\degree =\frac{1}{2}\times 2(5x +47)\degree [/tex]

[tex] (x+51)\degree =(5x +47)\degree [/tex]

[tex] x+51 =5x +47 [/tex]

[tex] x+51 - 47=5x - x[/tex]

[tex] 4=4x[/tex]

[tex] x=\frac{4}{4}[/tex]

[tex] x=1[/tex]

[tex] \because m\angle EFG = (x+51)\degree[/tex]

[tex]\therefore m\angle EFG = (1+51)\degree[/tex]

(plug x = 1)

[tex] \therefore m\angle EFG = 52\degree[/tex]

Answer:

10) b = 6.25

11) y = -3.94

12) n = 4.16 repeating

13) a = -0.83 repeating

14) t = 0.9

15) h = -0.9

Hope this helps!

1:

cos (37)= 11/x

x(cos(37))= 11

x= 11/cos(37)

x= 14.4

2:

tan (0)= 4/13

0= tan^-1/ 4/13

0= 0.3

x= 0.3

Step-by-step explanation:

solution:

A.

relation between hypotenuse and base is given by cos angle

so

[tex] \cos(ø) [/tex]=base/hypotenuse=11/x

cos37°=11/x

x=11/(cos37°)=13.77units

side indicated =x=13.77units

solution:

B.

relation between perpendicular and base is given by tan angle

so

[tex] \tan(ø) [/tex]=perpendicular/base=4/13

ø=tan-¹ (4/13)=17.10°

angle indicated =ø=17.10°

Answer:

11x4=44

Step-by-step explanation:

I hope this helps you

find trapezoid sides from right triangle

base is 2 unit and the height is 6 unit

let's find hypothenus(trapezoid side)=x

x^2=2^2+6^2=40

x=2 square root of 10

let's sum of the trapezoid sides

2x+2 bases

4 square root of 10+(7unit+3unit)

4 square root of 10 +10

Step-by-step explanation:

a^2+b^2=c^2

10^2+b^2=17^2

100+b^2=289

-100         -100

       b^2=  189

      b= the square root  of 189

b=13.7477270849

Answer:

True

Step-by-step explanation:

Hope this is helpful

Answer:

It's true.

Step-by-step explanation:

Hope this helps.

Please mark as brainiest!

Answer:

25 feets

Step-by-step explanation:

The scenario above can be modeled and solved Using Pythagoras :

Height to second floor = 24 feets

Horizontal Distance between foot of ladder and wall = 7 feets

Let length of ladder = x

The lengtb of ladder here is the hypotenus

Recall:

Hypotenus = sqrt(opposite² + adjacent²)

Hence,

x = sqrt(24² + 7²)

x = sqrt(576 + 49)

x = sqrt(625)

x = 25

Hence, length of ladder = 25 feets

Answer:

[tex] {h =}^{2} = {p}^{2} \: + {b}^{2} [/tex]

[tex] {h}^{2} = {16}^{2} + {12}^{2} [/tex]

[tex] {h}^{2} = 256 + 144[/tex]

[tex]h = \sqrt{400} [/tex]

[tex]h = 20[/tex]

therefore the length of the ladder is 20ft

Answer:

Between which two months was the largest decrease in profits recorded? What was the amount of the decrease?

February to March, $4,000

April to May, $4,000

April to May, $5,000

February to March, $5,000

Step-by-step explanation:

C. is right

Answer:

h = 15 mm

Step-by-step explanation:

Given that,

The volume of a cone, V = 565.2 cubic millimeters

The radius of the cone, r = 6 mm

We need to find its height. The formula for the volume of the cone is given by :

[tex]V=\dfrac{1}{3}\pi r^2 h[/tex]

Where

h is the height of the cone

[tex]h=\dfrac{3V}{\pi r^2}\\\\h=\dfrac{3\times 565.2 }{3.14 \times 6^2}\\\\h=15\ mm[/tex]

So, the height of the cone is equal to 15 mm.

Answer:

4 - pi

Step-by-step explanation:

we see that the inner square leg is 2 inch because its radius + radius

which is 1+1 (two circles diameters are 4 inches, so one circle has 1 inch radius) square area = 4 inches.

we subtract the area of 4 circle quadrants which is a circle area.

area of the circle is pi r^2, r = 1 so A = pi inch

the shaded region is (4 - pi) inch squared.    

Answer:

rearrange in ascending order

15,19,21,25,27,28,36,37,40,42,45,50

using formula (n\2)th + (n/2)+1)th/2

(12/2)th + (12/2)+1)th/2

6th +7th/ 2

the 6th number=28and the 7th number=36

28+36/2

64/2

32

median =32

Answer:

Step-by-step explanation:

This has 3 solutions

2x = 0                          Divide by 2

x = 0

8x + 5 = 0                   Subtract 5 from both sides

8x = - 5                       Divide by 8

x = - 5/8

x = -0.625

7x - 13 = 0                   Add 13 to both sides

7x = 13                         Divide by 7

x = 13/7

x = 1.86

Answer:

-7

Step-by-step explanation:

-9q = 63

q= 63/-9 = -7

Answer:

-18 + 9 = -9

Step-by-step explanation:

-2 x 9 = -18

Answer:

-5

Step-by-step explanation:

Just add the numbers and if they both got negative numbers it is negative

No equation in the answer choices has a solution pair of (-3,-2) as as evident from the computation below.

To determine which equations are not satisfied by the solution pair; (-3,-2), we must substitute the solution pair into each equation as follows;

It follows form the computation above that, the solution pair is not a solution to any of the equation choices.

Remarks:

Select one: a. −3x=4y−6 b. y=x−1 c. 5x+2y=−16 d. 2y−3x=0

Read more on solution pair of equations;

https://brainly.com/question/25792305

Answer:

32.18%

Step-by-step explanation:

Just took the test

The final answer is: 32.18%

Got it right when I did it! :)

Answer:

x = 4

Step-by-step explanation:

We use the formula:

a² + b² = c²

x² + 3² = 5²

x² + 9 = 25

x² = 16

[tex]\sqrt{x^2} =\sqrt{16}[/tex]

x = 4

Answer:

so you'll take width (or w) and times it by Height (or h)

50 x 100 = 5000 = example

I hope this helps...

Step-by-step explanation:

Answer: 81.98274589 is what i got but it will be 81 hope this helped

Step-by-step explanation:

Answer:

FG = 18

Step-by-step explanation:

FD is an angle bisector and divides the opposite side into segments that are proportional to the other 2 sides, that is

[tex]\frac{24}{54}[/tex] = [tex]\frac{x}{x+10}[/tex] ( cross- multiply )

54x = 24(x + 10)

54x = 24x + 240 ( subtract 24x from both sides )

30x = 240 ( divide both sides by 30 )

x = 8

Then

FG = x + 10 = 8 + 10 = 18

Answer:

50

Step-by-step explanation:

90-54=36

then u do 36-10 which will give u 26

that will be f then u do 90-50 which is 40 and 40 is the x so now that u got x u can add that to ten which will give u fifty if that's not the way u want it or if this is wrong then i tried cause that what i got

Answer:

OK

Step-by-step explanation:

What language us That

Step-by-step explanation:

All 3 angles add up to be 180 due to sum of angles in a triangle.

Given this fact,

[tex]38 - 5x + 83 + 24 = 180 \\ 145 - 5x = 180 \\ - 5x = 180 - 145 \\ - 5x = 35 \\ x = 35 \div - 5 \\ = - 7[/tex]

Answer:

(38 - 5x)⁰ + 83⁰ + 24⁰ = 180⁰

<=> (38 + 83 + 24) - 5x = 180

<=> 145 - 5x = 180

<=> 5x = 145 - 180

<=> 5x = - 35

<=> x = - 7