f(g(4)) and the g(f(3)) for the following problem:


f(x) = 2x+3 and g(x) = x-3/2

Answer:

Step-by-step explanation:

The formula of a midpoint of the segment AB:

[tex]M_{AB}\left(\dfrac{x_A+x_B}{2};\ \dfrac{y_A+y_B}{2}\right)[/tex]

We have A(7, -2) and B(1, -10). Substitute:

[tex]M_{AB}\left(\dfrac{7+1}{2};\ \dfrac{-2+(-10)}{2}\right)\\\\M_{AB}\left(\dfrac{8}{2};\ \dfrac{-12}{2}\right)\\\\M_{AB}(4;\ -6)[/tex]

Problem 1:

1) 3/5x-1 x 3/4=9/10

3x/5-1 x 3/4=9/10

2) 3x/5-1 x 3/4=9/10

3x/5-3/4=9/10

3) 3x/5-3/4=9/10

+3/4 +3/4

4) 3x/5=33/20

5) 5 x 3x/5= 5 x (33/20)

6) 3x=33/4

7) 3x=33/4

/3 /3

8) x=11/4

Problem 2:

1) 6/7+2/5x=-4/5

6/7+2x/5=-4/5

2) 6/7+2x/5=-4/5

-6/7 -6/7

3) 2x/5= --58/35

4) 5 x 2x/5= 5 x (--58/35)

5) 2x= --58/7

6) 2x= --58/7

/2 /2

x= --29/7

Step 1:

The variable is the number of weeks needed to equalize Alexa and her sisters savings.

Step 2:

7x + 60 = 5x + 120

Step 3:

7x+60=5x+120

Subtract 60 from both sides.

7x+(60-60)=5x+(120-60)

7x=5x+60

Subtract 5x from both sides

7x-5x=5x+60-5x

2x=60

Divide both sides by 2.

2x/2 = 60/2

x=30

Step 4:

7(30) + 60 = 5(30)+ 120

210+60=150+120

270 = 270

Step 5:

To find the unknown amount of weeks, you need to rewrite the equation isolate x on the left-hand side of the equation. I just subtracting/simplified the equation until I could solve it.

(tbh got stuck on this one)

Answer:

y = -1

Step-by-step explanation:

It´s an equilateral triangle

then:

2y + 6 = 4

2y = 4 - 6

2y = -2

y = -2/2

y = -1

Check:

2*-1  + 6 = 4

-2 + 6 = 4

Answer:

(x+3)⋅(x−1)⋅(x−4)

Step-by-step explanation:

hope this helps

Answer:

$62.05 is the new price

the reduced price is $10.95

Step-by-step explanation:

73*.85=62.05

Answer:

x=50

Step-by-step explanation

The two angles add up to 180, so 2x+4+76 = 180

2x+80=180

2x=100

x=50

7:  8+（-4）=-2

8:  -7+2=-5

9:  -11-7=-18

10:  12÷（-6）=-2

11:   -9×（-3）=27

12:  4-（-3）=7

13:  -45÷9=-5

14:   6×（-3）=-18

Answer:

thr answer is 6(2n-3) this is rhe answer

Answer:

8%

Step-by-step explanation:

2/25*100

=8%

9514 1404 393

Answer:

  B)  The incenter is equidistant from all three sides of the triangle.

Step-by-step explanation:

The incenter is the center of the inscribed circle, which is tangent to all three sides. Hence, the distance from the incenter to each side is the radius of the circle. The incenter is equidistant from the sides of the triangle.

Answer:

I would but I suck at math.

Step-by-step explanation:

I'll help you out with the giver later. lol

Answer:

We know that C(T) is a function where you input the time T, and the output will be the student's Monday class.

a) A student has English at 10:00.

Here we can use T = 10:00 as the input, and the output will be the class, English.

Then this can represent this with:

C(10:00) = English.

b) Write a statement to describe the meaning of C(11:15) = chemistry.

for C(11:15) = Chemistry

The input, the time, is 11:15

The output, the class, is chemistry.

The student has a chemistry class at 11:15

Answer:

Graph x

Step-by-step explanation:

Answer:

she would read 20 pages in 1 whole hour

Answer:

The value of x is 12.

Step-by-step explanation:

Given that x is directly proportional to y so the expression will be x = k (³√y) where k is the constant. First, you have to find the value of k :

[tex]x = k \: (\sqrt[3]{y} )[/tex]

[tex]let \: x = 6,y = 8[/tex]

[tex]6 = k \: (\sqrt[3]{8} )[/tex]

[tex]6 = k(2)[/tex]

[tex]k = 3[/tex]

Next, you have to find the value of x, by substituting y = 64 into the expression :

[tex]x = 3 \: ( \sqrt[3]{y} )[/tex]

[tex]x = 3( \sqrt[3]{64} )[/tex]

[tex]x = 3(4)[/tex]

[tex]x = 12[/tex]

Answer:

Jupiter's orbit is 5 times longer than earths

Step-by-step explanation:

Answer:

c<$15

Step-by-step explanation:

$31-$16>c

$15>c

c<$15

Answer:

107.6

Step-by-step explanation:

5.38 is how much is made in half an hour so I multiplied that by 2 to get the complete hour then multiplied that by 8

Answer: I am pretty sure it’s 87.08

Step-by-step explanation:

Answer:

y = 0.75x

Step-by-step explanation:

Im not sure lmk

Answer:

brianna is correct

Step-by-step explanation:

Answer:

Brianna is correct for Card number 2.

Step-by-step explanation:

Answer:

The slope of y=-x+7y is m = - 1.

Step-by-step explanation:

y = m x + c

The intercept is (0,7) | constant term.

Answer:

This equals 6 1/8

Step-by-step explanation:

Hope it helps!

Answer:

6 1/8

2 1/2 becomes 5/2 then you multiply the numerator and denominator by 4

after that it becomes 20/8 than you make 3 5/8 into 29/8 and add them together which makes 49/8 but when you simplify it becomes 6 1/8

Answer:

-5

Step-by-step explanation: Yeah i think its -5

Answer:

Anna drank the water and holding the bucket, which weights 2 pounds, so:

Answer:

Step-by-step explanation:

Anna's self  weight     = 97

Anna drank the water = 5

bucket weights            = 2      

                        total     = 104 lbs.

[tex]I\;would\;say\;one\;way\;do\;it\;is\;like\;this...\\\\"He's\;not\;very\;brave\;after\;all"\;\;(Page\;12)\\\\Another\;way\;to\;do\;it\;is\;like\;this...\\\\According\;to\;the\;authour\;the\;man\;couldn't\;face\;his\;fear\;of\;heights. \;\;(Pg\;13)[/tex]

Answer:

20.8

Step-by-step explanation:

Answer:

55

Step-by-step explanation:

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