A mechanic has a set fee for working on someone's automobile and charges by the hour for making repairs. The total cost of her services (yes she
female mechanic), is c(t) = 100t + 90. Which statement(s) about this function is true?
1. The one time fee for working on the car is $90.
II. The mechanic charges $100 per hour.
III. The number of hours the job takes is represented byt
a. I and III
b. I, II, and III
c. I and II
d. ll and III

Answer:

Slope-Intercept form:   y = m x + b

y = value of y corresponding to value of x

2 y = 10 x - 6

y = 5 x - 3         equation of line where m is the slope and -3 value of y when x                      

                         equals  zero

Answer:

[tex]\frac{3x+1}{x}, x\neq -1[/tex]

Step-by-step explanation:

We can start by combining the fractions in the numerator. We can multiply them by x/x and x + 1/x + 1 respectively to get a common denominator of x(x + 1).

[tex]\frac{4}{x+1}*\frac{x}{x} +\frac{2}{x} *\frac{x+1}{x+1}\\\\\frac{4x}{x(x+1)}+\frac{2x+2}{x(x+1)}\\\\\frac{6x+2}{x(x+1)}[/tex]

Now we can rewrite an simplify:

[tex]\frac{\frac{6x+2}{x(x+1)} }{\frac{2}{x+1} }\\\\\\\frac{6x+2}{x(x+1)}*\frac{x+1}{2} \\\\\frac{3x+1}{x}[/tex]

The domain would be x ≠ -1 because the starting domain is [tex]x\neq -1; x\neq 0[/tex] and it changed to [tex]x\neq 0[/tex], so for the two fractions to be equal, the domain would be [tex]x\neq -1[/tex].

Answer:

Minimum: [tex](\frac{\sqrt{5} }{5},-2+\frac{4\sqrt{5} }{5})[/tex]

Maximum: [tex](-\frac{\sqrt{5} }{5} ,-2-\frac{4\sqrt{5} }{5} )[/tex]

Step-by-step explanation:

For all the angles, you will have to solve for x

A: 162 = 3x

162/3 = x

54 = x

M: 120 + 2x = 180

2x = 180 - 120

2x = 60

x = 60/2

x = 30

W: 150 = 30x

150/30 = x

5 = x

S: 20 + 2x = 90

2x = 90 - 20

x = 70/2

x = 35

Q : 45 + 5x = 90

5x = 90 - 45

x = 45/5

x = 9

P: not too sure if its 150,

150 + (x+5) = 180

x+5 = 180- 150

x = 30 - 5

x = 25

now you will put all the x values in order. ( i think thats what you supposed to do)

it will be: 5, 9, 25, 30, 35, 54

hope this helps♡♡♡

Answer:

B

Step-by-step explanation:

tan28=tan (90-62)=cot 62=1/tan 62

Answer:

B and C. if you got them wrong let me know :3

Answer:

y=-5x+17

Step-by-step explanation:

Answer:

[see below]

Step-by-step explanation:

We would add '5' to the y-intercept (12) to make a translation up 5 units.

y = -5x + 12 + 5

y = -5x + 17

Hope this helps.

goodStep-by-step explanation:

Answer:

The committee needs 12 square tables!

Step-by-step explanation:

[tex]8x+6y=150[/tex]

[tex]y=9[/tex]

[tex]8x+6(9)=150[/tex]

[tex]8x+54=150[/tex]

      [tex]-54[/tex]     [tex]-54[/tex]

[tex]8x=96[/tex]

[tex]/8[/tex]      [tex]/8[/tex]

[tex]x=12[/tex]

Hope this helps!

Answer:

The tree is about 27.77 meters tall

Step-by-step explanation:

I attached a helpful sheet that explains all my work visually.

It's C.

The value is increasing threefold relative to the previous step.

all other function values increase by a fixed amount and are therefore linear

Answer:

5cm

Step-by-step explanation:

Since the pencil would only fit diagonally, the diameter would have to be half its length. The pencil is 10 centimeters long and 5 centimeters would be half of it.

Note:

Pls notify me if my answer is incorrect for the other users that will see this message. Thank you.

-kiniwih426

Reciprocal of -32/7 = -7/32

Answer:

-32/7 = -7/32

Step-by-step explanation:

Answer:

the dishes sparkled after we washed them.

Step-by-step explanation:

Answer:

Diameter, D = 2.65 cm

Step-by-step explanation:

Given the following data;

Circumference of circle = 8.34 cm

To find the length of its diameter;

Mathematically, circumference of a circle is equal to;

C = πD

Where;

Substituting into the formula, we have;

8.34 = 3.142 * D

[tex] D = \frac {8.34}{3.142} [/tex]

Diameter, D = 2.65 cm

Answer: 35.98in

Step-by-step explanation:

Use the formula: h=3 v/pi(r^2)

Answer:

V = 36.0 in

Step-by-step explanation:

V of cylinder = (1/3)πr^2(h)

V of cylinder = 3052 cubic inches

r = 9 in

3052 = (1/3)π(9)^2(h)

3052 = (1/3)π(81)h

3052 = 84.82300165h

divide both sides by coefficient of h

h = 36.0 in (rounded to nearest tenth)

Answer:

5.85

Step-by-step explanation:

100%-> 6.50

100%-10% = 90 %

90%-> 6.50/100 x 90

           =5.85

Answer:

volume of a cone formula = V=πr²h/

3

V=3.14(5)²3/3

V≈78.54

Answer:

the first option

Step-by-step explanation:

well, 9 +(-6) = 3

so the equations last part is changed, but the rest stays the same

The  range of (f + g)(x) is (f + g)(x) > 3 for all values of x.

A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

Gives are two function, f(x) = |XI + 9 and g(x) = -6, we need to find the range of (f + g)(x),

f(x)=|x|+9 and g(x)= -6

Taking the sum of the functions:

f(x) + g(x) = |x|+9  + (-6)

f(x) + g(x) =  |x|+9 - 6

f(x) + g(x) =   |x|+3

Due to the modulus of x which is positive,

Hence (f + g)(x) is greater to 3 for all values of x

Learn more about functions, click;

https://brainly.com/question/12431044

#SPJ7

Answer:

14

Step-by-step explanation:

Answer:

asa similarity postulate

Answer:

x>-5

Step-by-step explanation:

2-x<7

Subtract 2 from each side

2-x-2<7-2

-x<5

Multiply each side by -1, remembering to flip the inequality

x>-5

Answer:

Vertical

Slope cannot be determined

Step-by-step explanation:

To find the slope, we are going to use the slope equation as follows

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

(x1,y1) = (4,5)

(x2,y2) = (4,-5)

m = (-5-5)/(4-4)

This gives an undefined answer and thus we cannot hate the slope value

Looking at the x-axis coordinates, we can see that the difference is just the y axis coordinates and as such we can confirm that the line is vertical

There for the diameter is 2(4.8 )= 9.6 ft

Given: Volume of the cone is 83.7 m³

We know that:

[tex]\bigstar \ \ \boxed{\sf{\textsf{Volume of cone is given by} : \dfrac{\pi r^2h}{3}}}[/tex]

where r is the radius of the cone and h is the height of the cone

Given: Height of the cone = 5m

Substituting the values in the formula, we get:

[tex]\sf{\implies \dfrac{\pi r^2(5)}{3} = 83.7}[/tex]

[tex]\sf{\implies \pi r^2 = 83.7 \times \dfrac{3}{5}}[/tex]

[tex]\sf{\implies \pi r^2 = 83.7 \times 0.6}[/tex]

[tex]\sf{\implies \pi r^2 = 50.22}[/tex]

[tex]\sf{\implies r^2 = \dfrac{50.22}{\pi}}[/tex]

[tex]\sf{\implies r^2 = 16}[/tex]

[tex]\sf{\implies r = 4}[/tex]

We know that : Diameter is two times the radius

⇒  Diameter of the Cone is 8 meters

Answer:

D) 24,32,40

Step-by-step explanation:

Sense this is a right triangle, I will use the Pythagorean theorem to solve this problem. Use the following formula: a^2 + b^2 = c^2. 40 would be c. 40 x 40 = 1600. 32 x 32 = 1024.  24 x 24 = 576. Since 576 + 1,024 equals 1600, this means the answer would be D. Remember, that you can only use the Pythagorean Theorem method on right triangles.

1,600 = 576 + 1024.

Note:

Pls notify me if my answer is incorrect, for the other users that will see this message.

-kiniwih426

Answer:

Area of four walls is 3960 square feet.

Step-by-step explanation:

length, L = 30 ft

Width, W = 50 ft

height, H = 6 ft

The area of walls is

= 2 (L W + W H + H L)

= 2 (30 x 50 + 50 x 6 + 6 x 30)

= 2 (1500 + 300 + 180)

= 3960 square feet

Answer/Step-by-step explanation:

How much tile would he need to cover the floor?

Answer: 1500 Ft^2

If the height of the basement is 6 ft, how much wall area is there to paint?

Answer: 960 Ft^2