A telephone technician charges $45.00
per hour plus a $50.00 service charge.
Your father's firm hires him to hook up
his company's phone system.
Here is the cost function used to
represent this situation in terms of the
number of hours worked:
c(h) = 45h + 50
Find the total charges if it takes the telephone 4.5 hours to complete the task

Answer:

y = 2/3x - 5

Step-by-step explanation:

If two lines are parallel, they have the same slope. This means the line we are looking for has a slope of 2/3. Since we are also given a point, we can start by writing the equation in point-slope form which is represented by

[tex]y-y_{1} =m(x-x_{1} )[/tex]

Where m is the slope and (x1, y1) is a point. We have both, so we can substitute the values and simplify:

y + 1 = 2/3 (x - 6)

y + 1 = 2/3x - 4

y = 2/3x - 5

Answer:

y=cx-b/a

Step-by-step explanation:

ay+b=cx

ay=cx-b

y=cx-b/a

Answer:

Step-by-step explanation:

A transversal is a line that passes through two lines in the same plane at two distinct points. 

Transversals play a role in establishing whether two or more other lines in the Euclidean plane are parallel.

Eight angles of a transversal.

Answer:

Step-by-step explanation:

C=25m plus 75

Answer:

Answer:

The answer is below

Step-by-step explanation:

Let x represent the number of kids and y represent the number of adults that can be invited to the park.

Since the family has at most $190 to spend, hence:

8x + 4y ≤ 190    (1)

Also, the maximum number of invites is 35 people. This is represented by the equation:

x + y ≤ 35       (2)

Graphing equation 1 and equation 2 using geogebra online graphing

We have the solution as:

(0, 35), (23.75, 0) and (12.5, 22.5)

Since the number of people must be a whole number, the possible solutions are:

0 children and 35 adults or 23 children and 0 adults or 12 children and 22 adults

Answer:

Answer:

(6/5) π in^2 or 1.2 π in^2

Step-by-step explanation:

the area of a circle and the area of one circle sector are proportional.

Area of the circle = radius^2 * π = 3^2 π = 9π in^2

the hidden date is that the centre angle of a circumference is 360 degrees

we have now to use a proportion that has this meaning:

if the area is 9π in^2 when the angle is 360 degrees, what is the area when the angle is 48 degrees?

9π : 360 = x : 48

x = (48 *9π)/360 = (6/5) π in^2

It depends on what type of triangle you’re dealing with, and what is marked similar.

Answer:

orange :P

Step-by-step explanation:

volume = a x a x a = 15 x 15 x 15 =3375 cubic mm

Answer:

3375 cm (so the 3375 with the 3 in the corner)

DONT PUT THE ONE WITH THE 2 IN THE CORNER. Put the one with the 3 in the corner. I have made this mistake too many time lol.

Work:

Given, side of a cube =15 cm

Volume of a cube = Length x Width x Height

A cubes length, width, and height are the same.

15×15×15=3375 cm squared  

Answer: 2

Step-by-step explanation:

Given

The polynomial is [tex]x^4+x^3-2x^2+x+1[/tex] is divided by [tex]x-1[/tex]

According to the remainder theroem

[tex]\Rightarrow x-1=0\\\Rightarrow x=1[/tex]

Put [tex]x=1[/tex] in the polynomial to get the remainder

[tex]\Rightarrow 1+1-2+1+1\\\Rightarrow 2[/tex]

So, we get the remainder 2.

Answer:

Sin < A is 4 / 5

Step-by-step explanation:

sin = Opposite side / Hypotenuse side

sin = 8 / 10

sin = 4 / 5

Answer:

Adjacent: <ABC and <CBD

Vertical: <ABC and <EBD

Step-by-step explanation:

Adjacent angles: Angles that share one ray.

Vertical Angles: Opposite angles created by the intersection of two lines.

Hope this helps!!

Answer:

A. 0.4 , -6

Step-by-step explanation:

equate each of them to 0

5x - 2 =0 , x + 6 = 0

5x = 2 , x = 0 - 6

x = 2/5 , x = -6

x = 0.4 , x = -6

Answer:

209.25 ft²

Step-by-step explanation:

2.7cm * 5 = 13.5 ft

3.1cm * 5 = 15.5 ft

Area

a = 13.5 * 15.5

a = 209.25 ft²

Answer:

8.37cm

Step-by-step explanation:

2.7cm×3.1cm=8.37cm

Area rectangle is length by width

The area of the triangle is 6 square units

The formula for calculating the area of a triangle is expressed as:

From the given triangle, the length of the diagonal of each square is expressed as:

[tex]l=\sqrt{1^2+1^2} \\l=\sqrt{2}[/tex]

Height of the triangle = √2 + √2 = 2√2

Base of the rectangle = √2 + √2 + √2= 3√2

Area of the triangle= 0.5 * 2√2 * 3√2  

Area of the triangle 3(2)

Area of the triangle = 6 square units

Hence the area of the triangle is 6 square units

Learn more on area of triangle here; https://brainly.com/question/17335144

Answer:

how many members are in the club??

Answer:

Step-by-step explanation:

Correct choice is D

Answer:

y=-4x

Step-by-step explanation:

First, out it into y=mx+b. Then find the slope(m). insert slope and one set of coordinates into equation and solve for y-intercept (b). Then you have your answer.

Answer:

y = 1x + 10

Step-by-step explanation:

y2 - y1 / x2 - x1

2 - 8 / -8 - (-2)

-6/ -6

1

y = 1x + b

2 = 1(-8) + b

2 = -8 + b

10 = b

Answer:

ASA

Step-by-step explanation:

In given triangle

Line BC = Line QR

Angle ABC = Angle PQR

Angle ACB = Angle PRQ

Computation:

Angle ABC = Angle PQR (Angle)

Line BC = Line QR (Side)

Angle ACB = Angle PRQ (Angle)

So,

ΔABC ≅ ΔPQR

By Angle Side Angle property

ASA

Answer:

[tex]x+\sqrt{x+3}=3+3\sqrt{1-x}[/tex]

[tex]Remove~ Square ~root[/tex]

[tex]-36x^3+252x^2-540x+324=[/tex]

[tex]x^4-32x^3+286x^2-480x+225[/tex]

[tex]Now ~\mathrm{Switch\:sides}[/tex]

[tex]x^2-6x\sqrt{-x+1}-15x+18\sqrt{-x+1}+18=x+3[/tex]

[tex]\mathrm{Subtract\:}x^2-15x\mathrm{\:from\:both\:sides}[/tex]

[tex]x^2-6x\sqrt{-x+1}-15x+18\sqrt{-x+1}+18-\left(x^2-15x\right)=[/tex]

[tex]x+3-\left(x^2-15x\right)[/tex]

[tex]New ~Simplify[/tex]

[tex]-6x\sqrt{-x+1}+18\sqrt{-x+1}+18=-x^2+16x+3[/tex]

[tex]Subtract ~18~ from ~ both~ sides[/tex]

[tex]-6x\sqrt{-x+1}+18\sqrt{-x+1}+18-18=-x^2+16x+3-18[/tex]

[tex]Simplify[/tex]

[tex]-6x\sqrt{-x+1}+18\sqrt{-x+1}=-x^2+16x-15[/tex]

[tex]Now~ factor:[/tex]

[tex]-6x\sqrt{-x+1}+18\sqrt{-x+1}(-x+3)[/tex]

[tex]6\sqrt{-x+1}\left(-x+3\right)=-x^2+16x-15[/tex]

[tex]Solve~~-36x^{3}+252x^{2} -540x+324=x^{4} -32x^{3} +286x^{2} -480x+225=[/tex]

[tex]x=1,\:x=-3[/tex]

Answer:

30.

Step-by-step explanation:

The 120 degree has to be the vertex angle.

The other 2 angles in the triangle will be congruent as the triangle is isosceles.

These 2 are both = (180-120) / 2

= 60/2

= 30 degrees.

Answer:

C

Step-by-step explanation:

C => 7 is mapped into both 8 and 12, and in a function, this is not allowed

Answer:

B cause it same

Step-by-step explanation:

If am wrong correct me thanks

Answer:

ans: option D

Step-by-step explanation:

exterior angle of triangle is equal to sum of opposite interior angle I.e

angle ACD= angle CAB + angle ABC

Answer:

d

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ ACD is an exterior angle of the triangle, then

∠ ACD = 80° + 60° = 140° → d

Answer:

7. 1583.36 cm³

8. 13,627.18 m³

Step-by-step explanation:

Volume of space consumed by the paper = volume of outer cylinder - volume of center cylinder

✔️Volume of Outer Cylinder:

Volume = πr²h

r = ½(12) = 6 cm

h = 14 cm

Volume = π*6²*14

Volume = 1583.36 cm³

✔️Volume of center cylinder:

Volume = πr²h

r = ½(4) = 2 cm

h = 14 cm

Volume = π*2²*14

Volume = 175.93 cm³

✅Volume of space of the toilet paper = 1583.36 - 175.93 = 1583.36 cm³

8. Volume of the solid = volume of the cone + volume of the cylinder

✔️Volume of the cone = ⅓πr²h:

r = 13 m

h = 14 m

V = ⅓*π*13²*14

V = 2,477.67 m³

✔️Volume of the cylinder = πr²h

r = 13 m

h = 21 m

V = π*13²*21

V = 11,149.51 m³

✅Volume of the solid = 2,477.67 + 11,149.51 = 13,627.18 m³

Answer:

To be Honest I Really Don't know What are the Answers?

A) 3x -7 = 2x+5

3x-2x= 5+7

1x= 12

Resposta final: x=12 e so fazer sequindo o exemplo

Answer:

[tex]x = \frac{ 5 \ + \ \sqrt{31}}{2} \ , \ x = \frac{ 5 \ - \ \sqrt{31}}{2}[/tex]

Step-by-step explanation:

[tex]2x^2 - 10x - 3 = 0 \\\\a = 2 \ , b = - 10 \ , \ c = - 3 \\\\x = \frac{-b^2\ \pm \ \sqrt{b^2 - 4ac}}{2a}\\\\x = \frac{10 \ \pm \sqrt{(-10)^2 - ( 4 \times 2 \times -3)} }{2 \times 2}\\\\x = \frac{10 \ \pm \sqrt{(100 - ( -24 )} }{4}\\\\x = \frac{10 \ \pm \sqrt{(100 + 24 } }{4}\\\\x = \frac{ 10 \ \pm \sqrt{124}}{4}\\\\x = \frac{ 10 \ \pm \sqrt{4 \times 31}}{4}\\\\x = \frac{ 10 \ \pm \sqrt{2^2 \times 31}}{4}\\\\x = \frac{ 10 \ \pm2 \sqrt{31}}{4}\\\\x = \frac{ 5 \ \pm\sqrt{31}}{2}\\\\[/tex]

[tex]x = \frac{ 5 \ + \ \sqrt{31}}{2} \ , \ x = \frac{ 5 \ - \ \sqrt{31}}{2}[/tex]

Answer:

It will be above the ground in C

Step-by-step explanation: