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:

B

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

x² = 4² + ([tex]\sqrt{5}[/tex] )² = 16 + 5 = 21 ( take the square root of both sides )

x = [tex]\sqrt{21}[/tex] → B

Answer:

25

Step-by-step explanation:

If it has 25 miles across from the 1 hour it means that it goes 25 miles per hour.

Answer:

Hi! The answer to your question is D. {(0,0),(0,1),(1,2)(1,3)}

Step-by-step explanation:

☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆

☁Brainliest is greatly appreciated!☁

Hope this helps!!

- Brooklynn Deka

Answer:

10cm

Step-by-step explanation:

pretty sure the diameter is measured by multiplying the radius twice :)

Answer:

Diameter = 10 cm

Circumference = 31.43 cm

Area = 78.57 cm²

Answer:

2

Step-by-step explanation:

Subtract the number with the term both sides ( which is 9)

[tex] {x}^{2} + {y}^{2} - 6x + 4y = - 9[/tex]

Complete the square for the x terms and y terms.

( To complete the square divide the coefficient term by 2 and square it, then add that product to both sides.)

[tex] {x}^{2} - 6x + 9 + {y}^{2} +4y + 4 = - 9 + 9 + 4[/tex]

[tex] (x - 3) {}^{2} + (y + 2) {}^{2} = 4[/tex]

Take the square root of the right side to find the radius

[tex] \sqrt{4} = 2[/tex]

Answer:

(7, - 1 )

Step-by-step explanation:

Under a reflection in the line y = x

a point (x, y ) → (y, x ) , then

(- 1, 7 ) → (7, - 1 )

Answer:

175

Step-by-step explanation:

140

140/4=35

140+35=175

Answer:

Step-by-step explanation:

(48x^2)(y) + (16x)(y^2).

This is addition, so the distributive property applies. [(48x^2)(y) + (16x)(y^2)]/8xy = (48x^2)(y)/8xy+(16x)(y^2)/8xy = 6x+2y.

Division rules are explained below.

I included the parentheses to emphasize the difference between x^2y, which means x to the 2y, and (x^2)(y), which is x^2 times y.

TELL ME IF THIS IS CONFUSING<,BECAUSE I DON'T THINK I EXPLAINED VERY WELL.

Answer:

72.8%

Step-by-step explanation:

Percentage residual value = (residual value / worth of the car) x 100

(44,999 / 61,815) X 100 = 72.8%

Answer:

1=4

5=8

2=5

Step-by-step explanation:

Answer:

1, 5, 2 is the x values.

Step-by-step explanation:

you just subtract 3 from the y's

Answer:

1 is C

2 is B

3 is C

Step-by-step explanation:

Answer:

give em brainliest because i have no idea

Step-by-step explanation:

Answer:

6 units

Step-by-step explanation:

Answer:

6 units (B)

Step-by-step explanation:

8 - 2 = 6

Answer:

A would be the answer I would choose

Answer:

The slope is -1.3

Step-by-step explanation:

Plug it in stat, but Ill try to explain it. y2-y1/x2-x1

(-3,4)(3,-4)

-4-4/3-(-3) = -1.3

Answer:

for 100: 14,800

for 10: 14,780

for 1: 14,780

for 1000: 15,000

Step-by-step explanation:

ok so just go for like if its

18 its going to be 20 if its 11 its going to be 10

Hope this helps!!

PLEASE CROWN TYY

Answer:

Rounding Rules:

1. If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up. Example: 38 rounded to the nearest ten is 40. ...

2. If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down. Example: 33 rounded to the nearest ten is 30.

Step-by-step explanation:

100: 14,800

10: 14,780

1: 14,780

1000: 15,000

Answer:

(3,-1)

Step-by-step explanation:

The given equations are :

x = 3 ..(1)

y+1 = 0 ....(2)

We need to solve the equations graphically. x = 3 means draw a line parallel to y axis.

For y+1=0

y = -1

Draw a line parallel to the negative x axis. The attached figure shows the graph for the given equations. The solution is (3,-1).

Answer:

66ft

Step-by-step explanation:

I took the quiz

Answer:

y = 0.20x(-38,000) + 38,000

Step-by-step explanation:

y: represents how much the price is now.

x: Represents the number of years passed.

y = 0.20x(-38,000) + 38,000

For example if it's 1 year

y = 0.20(1) (-38,000) + 38,000

y = 0.20(-38,000) + 38,000

y = -7600 + 38,000

y = 30,400

Answer:

c

Step-by-step explanation:

Answer:

s would be 20

Step-by-step explanation:

because 2 x 10 = 20 so you then would add the second 20 to the first 20 and get 40

Answer:

27 1/6

Step-by-step explanation:

14 + 12=26

4+3=7

26 7/6= 27 1/6

Answer:

supplementary (add together to = 180°)

Step-by-step explanation:

Step-by-step explanation:

Supplementary angles add up to 180

complementary angles add up to 90

75+105=180

so the angles are supplementary

Hope that helps :)

The y-intercept is -5 and as the x-values increase, the y-values also increase in this graph of the line. which is the correct answer would be options (A) and (D).

A graph can be defined as a pictorial representation or a diagram that represents data or values.

What is the equation of a line?

The general equation of a line is y = mx + c

where m is the slope of the line and c is the intercept.

A linear equation is defined as an equation in which the highest power of the variable is always one.

We have been given that function of the line as

y = 3x - 5

We need to determine the y-intercept.

The y-intercept is at x = 0, y = -5

And the x-intercept is at y = 0, x = 5/3

Here In this graph of the given function as the x-values increase, the y-values also increase.

Therefore, the correct answer would be options (A) and (D).

Learn more about the lines here:

brainly.com/question/2263981

#SPJ2

Answer:

B

Step-by-step explanation:

The total number of marbles in the bag is 3 + 6 + 7 = 16

The number of green marbles is 7

The probability is 7/16

Answer:

x= 21

y= 3

z= 21

Step-by-step explanation:

Let the center be O,

=> Triangle AOD is an Isosceles triangle so AO≅DO, "21 = x"

=> Line AC is divided in two equal parts by the center so if AO= 21 then

    7y = 21, and thus "y = 3"

=> BOC is also an Isosceles triangle so CO ≅ BO, if CO = 21 (7y → 7*3) then so will be BO. Therefore "z = 21"