For all values of x, f(x) = 2x-3 and g(x) = x^2 + 1 a) Find fg(x) Simplify and give your answer in the form ax^2 + b b) Find gf(x).

Answer:

500

Step-by-step explanation:

Answer:

[tex]y=-3x-4[/tex]

Step-by-step explanation:

Hi there!

Slope intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)

1) Determine the slope (m)

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] where the two given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

Plug in the given points (−3, 5) and (2, -10)

[tex]m=\frac{-10-5}{2-(-3)}\\m=\frac{-10-5}{2+3}\\m=\frac{-15}{5}\\m=-3[/tex]

Therefore, the slope is -3. Plug -3 into [tex]y=mx+b[/tex] as m:

[tex]y=-3x+b[/tex]

2) Determine the y-intercept (b)

[tex]y=-3x+b[/tex]

Plug one of the given points, (−3, 5) or (2, -10) into the equation and isolate b

[tex]5=-3(-3)+b\\5=9+b[/tex]

Subtract 9 from both sides

[tex]5-9=9+b-9\\-4=b[/tex]

Therefore, the y-intercept is -4. Plug -4 into [tex]y=-3x+b[/tex] as b:

[tex]y=-3x-4[/tex]

I hope this helps!

Answer:

Equation: 2x + 1 = 9x - 13

There are two chairs in each row.

Step-by-step explanation:

Looking at the problem, we see that Hue can form two rows of chairs with 1 left over, or 9 rows if she gets 13 more. With that information we can create the equation 2x + 1 = 9x - 13. Now let's solve for x.

2x + 1 = 9x - 13

What we can do first is subtract 9x from both sides. This is done so all of the variables are on one side. Thus that becomes...

2x + 1 - 9x = -13

Now, combine -9x and 2x to get -7x.

-7x + 1 = -13

Now subtract 1 from both sides. This is done so we solve for x directly.

-7x = -13 - 1

Subtract -1 from -13 to get -14.

-7x = -14

Now divide both sides by -7.

x = -14/-7

Divide -14 by -7 to get 2. Remember, dividing two negatives gives you a positive!

x = 2

With that, the equation is solved. There are 2 chairs in each row.

Answer: <B= 101, <C= 79, <D=101

Step-by-step explanation: all parallelograms have the diagonal angles equal so that is why <c=79. Parallelograms also have all angles equal to 360. so if you add <C, and <A you have 158. then you subtract that from 360 and you get 202. You then need to divide it by to to get the measures of angles B and D which are 101 each.

Answer:

combination!!

Answer:

x=0

Step-by-step explanation:

Since y-intercepts lie on the y-axis, the x-coordinate must be 0.

Answer:

for what subject?

geometry

trig

algebra

Answer:

I think it's 3 but maybe ask your teacher to check :o

Step-by-step explanation:

Answer:

245.5 cm²

Step-by-step explanation:

Formula : -

Area of square = side²

Area of square

= 18²

= 324 cm²

Formula : -

Area of circle = πr²

Area of circle

= ( 22 / 7 ) x 5 x 5

= 3.14 x 25

= 78.5 cm²

Area of shaded region

= ( Area of square ) - ( Area of circle )

= 324 - 78.5

= 245.5 cm²

Answer: 15

Step-by-step explanation:

 4-7+9=8

  +7     +7

  4+9=15

    15=15

Answer:

Step-by-step explanation:

Answer:

1. 1/3

2. 3

3. 9

4. 13.5

5. 7

6. 5

7. 23.5

8. 70.5

9. 1:3

Answer:

A , C , F

Step-by-step explanation:

hello :

put this values in −4x ≤ −16 :

x=4 : −4(4) ≤ −16 means : -16≤ −16........true

x=-1 : −4(-1) ≤ −16 means : 4≤ −16........false

x=12 : −4(12) ≤ −16 means : -48≤ −16.......true

x=-5 : −4(-5) ≤ −16 means : 20≤ −16........false

x=0: −4(0) ≤ −16 means : 0≤ −16........false

x=9 : −4(9) ≤ −16 means :-36≤ −16.......true

Answer:

3/2y - 5

Step-by-step explanation:

Answer:

The answer is "[tex]m=4(25)+2(5)\\\\[/tex]".

Step-by-step explanation:

Please find the complete question in the attached file.

A party of 20 adults and 5 children needs 90 meatballs. A party with 25 adults and 5 children needs 110 meatballs.[tex]\to m=4(20)+2(5)\\\\\to m=80+10\\\\\to m=90\\\\\text{The final answer is : }\bold{ m=4(20)+2(5)}[/tex]

Answer:

w = 21

Step-by-step explanation:

Given that,

                      game 1                     game 2

Points               12                            18

Shots                 14                            w

One proportion is : [tex]\dfrac{12}{14}=\dfrac{6}{7}[/tex]

Other proportion is : [tex]\dfrac{18}{w}[/tex]

So,

[tex]\dfrac{6}{7}=\dfrac{18}{w}\\\\w=\dfrac{7\times 18}{6}\\\\w=21[/tex]

So, the value of w is equal to 21.

Answer:

7.5

Step-by-step explanation:

Answer: You can't expect everybody to do your work for you. I thought It was 1 question and that's a whole packet. At least look it up on the internet or go ask your parents/siblings. Im not tryna be rude but If I could help you, I would but there are too many questions. Sorry.

Step-by-step explanation:

Answer:

(-27) is greater I'm pretty sure.

Answer:

(-2-7) is greater than (-27)

Answer: Each box will have different ways of how students come to school

Step-by-step explanation:

1st box= who comes to school by a car

2nd box= who comes to school by public transport

3rd box= who walks to school

4th box= who rides a bike to school

Step-by-step explanation:

2(10)+2(x+4)

20 + 2x + 8

20 +8 +2x

28+2x

Answer:

it's easy

Step-by-step explanation:

See the triangle is having 2 sides equal so it is isosceles but not equilateral..

hope it helps

Answer:

This is an isosceles triangle because two sides are of equal length, and one side is a different length.

Step-by-step explanation:

Answer:

volume=90 sq m

Step-by-step explanation:

v=Ab×h

v=1/2(10)(3.6)×5

v=90 sq

hope it helps

Step-by-step explanation:

To find how many degrees the temperature would have to rise you need to do 11 - (-7) which is equal to 18. So the temperature rose 18 degrees.

To convert Celsius to Fahrenheit you need to do

(C * 9/5) + 32. In this case it would be (11 * 9/5) + 32 which results in 51.8 degrees Fahrenheit.

Answer:

I'm guessing you meant 3/13 of 18.

In that case, the answer would be 4.2 rounded to the nearest tenth (the actual answer is 4.15384615)

Sorry if this isn't the answer you were looking for.

Answer:

here you are

Step-by-step explanation:

blablabla blablabla

Answer:

B) $480,000

Step-by-step explanation:

Annual salary of a person with associate's degree

= $36,500

Over a 30 year career the person would earn;

= 30 × 36500

= $10,95,000

Now, annual salary of a person with bachelor's degree = $52,500

Over a course of 30 years he would earn;

= 30 × 52500

= $15,75,000

Difference = $15,75,000 - $10,95,000 = $480,000

So the person with bachelor's degree would earn $480,000 more than a person with associate's degree.

Answer:

-1 ; -1 ; the two lines are parallel

Step-by-step explanation:

To find the slope of the two lines, we can proceed in two different ways:

1) the faster is do the division: -a/b where a is the number the multiplies x and b is the number that multiplies y

line 1: m = 3/-3 = -1   line 2: -4/4 = -1

2) the second is to rewrite the two equation in the slope intercept form and find what term multiplies the x

line 1

-3y = 3x+6

-y = x + 2

y = -x -2

m = -1

line 2

x+y = 2

y = -x +2

m = -1

the two lines have the same slope, so they are parallel

it will be 151200 is the anwser

There will be a total of 5040 unique ways to make arrangements of 4 cards out of 10 so option (A) will be correct.

When the order of the arrangements counts, a permutation is a numerical approach that establishes the total number of alternative arrangements in a collection.

The number of alternative configurations in a collection of things when the order of the selection is irrelevant is determined by combination.

Given the 4 cards arrangement out of 10

npr = n! /(n-r)!

Here n = 10 , r = 4

10p4 = 10! /(10-4)!

10p4 = 10 × 9 × 8 × 7 × 6! /6!

10p4 = 5040

So there will be a total of 5040 ways to arrange the cards.

For more about permutation and combination,

https://brainly.com/question/13387529

#SPJ5

Answer:

m = -5/4

Step-by-step explanation:

m = rise/run = (y2-y1)/(x2-x1)

(-7 - 8)/ (5 - -7)

-15/12

-5/4