7 - 5/2 (8r - 6) + 2r =32

Answer:

[tex]g(f(3))=-2[/tex]

Step-by-step explanation:

So we have the two functions:

[tex]g(x)=4x+2\text{ and } f(x)=3x-10[/tex]

And we want to find g(f(3)).

So, let's find f(3) first:

[tex]f(3)=3(3)-10[/tex]

Multiply:

[tex]f(3)=9-10[/tex]

Subtract:

[tex]f(3)=-1[/tex]

Therefore, we can substitute -1 for f(3):

[tex]g(f(3))=g(-1)[/tex]

Now, find g(-1):

[tex]g(-1)=4(-1)+2[/tex]

Multiply:

[tex]g(-1)=-4+2[/tex]

Add:

[tex]g(-1)=-2[/tex]

And we're done!

So:

[tex]g(f(3))=-2[/tex]

Answer: 3,75 ( 15/4)

Step-by-step explanation:

1/3 (6y - 9) = -2y + 13

6y/3  - 9/3  = - 2y + 13

2y - 2 = - 2y + 13

2y + 2y = 13 + 2

4y = 15

y = 15/4

y = 3,75

Answer:

F+95C+32=0 & F−32=95C

Step-by-step explanation:

f=95c+32

Answer:

1st and the last one

Step-by-step explanation:

Answer:

C) (8,12)

Step-by-step explanation:

[tex]MP= (\frac{x_1+x_2}{2} )(\frac{y_1+y_2}{2} )\\MP= (\frac{5+11}{2} )(\frac{9+15}{2} )\\MP= (\frac{16}{2} )(\frac{24}{2} )\\MP= (8,12)[/tex]

Answer:

___________________

Answer:

38.3

Step-by-step explanation:

multiply l x w to get your answer then just round. Hope it helps!!

Answer:

48 meters squared or 48m^2

(Both are correct. Whichever you prefer is fine.)

Step-by-step explanation:

The formula to find area is A=height*base

So since the base = 6 and height = 8

Just multiply to combine the two

6*8=48

If you want to show with only numbers write this.

A=b*h

6*8=48

48 meters squared or 48m^2

Answer:

26

Step-by-step explanation:

APPLY PEMDAS:

Evaluate the numbers in the parentheses before evaluating the whole equation.

[tex](9+33-6)-3-7\\\\36 - 3 -7\\\\33-7\\\\\boxed{26}[/tex]

Hope this helps.

Answer:

The range is { 7,8}

Step-by-step explanation:

The range of the functions is the output values

We do not list the repeated values more than one and normally list them from smallest to largest

The range is { 7,8}

Answer:

a) FC ←→ and BD ←→ are distinct lines that intersect.

b) B , C and D are distinct points that are collinear.

c) Another name for plane [tex]X[/tex] is plane AEF.

d) E , A , F and C are distinct points that are coplanar.  

Step-by-step explanation:

The first step to solve this question is to look carefully at the picture.

For a) :

We can see that the line FC and the line BD intersect at the point C.

We can write :

a) FC ←→ and BD ←→ are distinct lines that intersect (we can see more lines that intersect with FC ←→ in the picture such as AC ←→  or AE ←→).

For b) :

We can see that the line BD ←→ passes through the points B , C and D (B , C and D are collinear points).  

We can write :

b) B , C and D are distinct points that are collinear.

For c) :

We can name any plane using three points which are contain in the plane but this three points must not be collinear points.

We can name the plane [tex]X[/tex] using the points A , E and F (this is a possible solution).

We can write :

c) Another name for plane [tex]X[/tex] is plane AEF.

Finally, for d) :

Two or more points are coplanar wherever they belong to the same plane.

In the picture, the points A , E , F and C belong to the plane [tex]X[/tex].

We can write :

d) E , A , F and C are distinct points that are coplanar.

Answer:

The Answer to 17 1/3 x 8 is 138.67

There is not enough context to answer the second question.

Answer:

750 miles

Step-by-step explanation:

Ronald

Rental fee = fixed cost + variable cost

= $25 + $0.05x

Where x = number of miles

Dixon

Rental fee = fixed cost + variable cost

= $40 + $0.03x

How many miles must they both drive for their rental fees to be the same?

Equate the two equations

$25 + $0.05x = $40 + $0.03x

Collect like terms

0.05x - 0.03x = 40 - 25

0.02x = 15

Divide both sides by 0.02

x = 15 / 0.02

= 750 miles

Answer:

$60, $90

Step-by-step explanation:

Amount paid when 50% off

=$ 120 - 50/100 * 120 = $ 120 - $60 = $60

Amount paid when 25% off

=$ 120 - 25/100 * 120 = $ 120 - $30 = $90

Answer:

The number is 76

Step-by-step explanation:

Answer:

[tex]9[/tex]

Step-by-step explanation:

So we have the expression:

[tex]\sqrt{6-25t}[/tex]

And we want to find the value of the expression when t is -3.

So, substitute -3 for t:

[tex]\sqrt{6-25(-3)}[/tex]

Multiply:

[tex]=\sqrt{6+75}[/tex]

Add:

[tex]=\sqrt{81}[/tex]

Evaluate:

[tex]=9[/tex]

So, our answer is 9.

And we're done!

Answer:

The Ford Mustang can travel at a faster rate.

Step-by-step explanation:

160/2 = 80/1   miles/hour -Ford Mustang

210/3 = 70/1    miles/hour - Toyota Corolla

Answer:

214°

Step-by-step explanation:

The arc subtending an angle at the centre are equal, that is

arc ED = 90° and

arc DF = 360° - (90 + 146)° = 360° - 236° = 124°

Thus

arc EDF = arc ED + arc DF = 90° + 124° = 214°

Answer:

answer of your question is

-x= -7

Answer:

5

Step-by-step explanation:

Replace variables with integers

(-2) - (-7)

Solve.

-2 - (-7) --> -2 + 7 --> 5

Answer:

$9000

Step-by-step explanation:

A gym employee has earned in 3 months =$4500

Then his monthly salary =$4500/3 =$1500

After six months he will earn = 6 × his monthly salary

= 6×$1500=$9000

Answer: 45 Seconds

Step-by-step explanation: Because if you do 3/4=0.75 or 75%. Knowing that a minute is 60 seconds long. 75% of 60 is 45 Seconds.

Hope this helped!

Time is the independent variable as it can be treated as a controllable constant against which changes in a system can be measured. How much time you spend effects how much time you study, making studying the dependent.  

Answer:

See below.

Step-by-step explanation:

f(x) = -|x + 9|

compared to

f(x) = |x|

has a graph that opens downward in an upside down V shape.

It has been moved 9 units left compared to the graph of f(x) = |x|.

It reflects over the x-axis.

Answer:

There is a 1 in 5 chance that the letter will be I.

Step-by-step explanation:

There are ten letters in the word and 2 are I's. 2/10 simplifies to 1/5.

Answer:

2/10 or 20%

Step-by-step explanation:

if you were to pick at random

out of all i would have a 20 percent chance to be chosen

Answer:

top = 17ft

bottom = -12ft

Step-by-step explanation:

As seen in the badly drawn picture attached in this question we are trying to find the point at the top of the ladder and the point at the bottom of the ladder. As seen in the picture ground level has an altitude of 0 ft meaning that lower than this would be in the negatives. Since the basement floor is 12 feet below ground level then this point would be -12 ft. Now since we know that the ladder is 29ft tall we simply add this height to the basement floor value to get the value of the 2nd floor ceiling (top of the ladder).

29ft + ( -12ft) = 17ft

Therefore we can see that the point at the top of the ladder is 17ft.

Answer:

ANSWER:-

Step-by-step explanation:

AB+BC=AC

17+9

=26 is the answer.

Step-by-step explanation:

Hey there!!!

Here,

Firstly, Shift n to right side and -4 to the left side, because we always try to have variable as positive.

[tex] - 8+4 = + 5n-n[/tex]

Now, Simplify them.

[tex] - 8 + 4 = 5n - n[/tex]

[tex] - 4 = 4n[/tex]

You should divide now.

[tex]n = \frac{ - 4}{4} [/tex]

Therefore the value of n is -1.

{ As now you can keep it on left side. We generally find the vallue of variable by keeping it on left side. But we kept it right side in solution to avoid our confusion because if we kept it on left side and you would get harder to find the value at last as we need to transpose (-) to the right side value of n}.

Hope it helps...

Answer:

-7, -27

Step-by-step explanation:

J is at -17. K is 10 units from J.

Start at point J, -17:

a) If you go 10 units to the right, you end up at -17 + 10 = -7

b) If you go 10 units to the left, you end up at -17 - 10 = -27

J can be at -7 or at -27

Answer: -7, -27