A business has a budget of $2,160 to spend on updating their technology. Each month, x, the business spends $135 on various technology updates. The amount of money remaining in the budget for technology, T(x), can be described by the function T(x) = −135x + 2160. What is the interpretation of the x-intercept in the context of the problem?

After 1 month, the business will have $2,025 remaining for technology updates.
After 16 months, the business will have $0 remaining in their technology budget.
The initial technology budget for the business is $2,160.
The business spends $135 every month updating their technology.

Answer:

A) x = 15

Step-by-step explanation:

4x - 30 = 2x

subtract 2x from each side of the equation:

2x - 30 = 0

add 30 to each side:

2x = 30

x = 15

Answer:

[tex] \displaystyle A) {15}^{ \circ} [/tex]

Step-by-step explanation:

remember that,

when a transversal crosses two parallel lines then the Alternate interior angles are equal that is being said

[tex] \displaystyle 4x - 30 = 2x[/tex]

cancel 2x from both sides:

[tex] \displaystyle 2x - 30 = 0[/tex]

add 30° to both sides:

[tex] \displaystyle 2x = 30[/tex]

divide both sides by 2:

[tex] \displaystyle x =15[/tex]

hence

our answer is A)

Answer:

14boxes

Step-by-step explanation:

Given the following

Length of truck: 3 1/2 yds

Width of truck: 5 yds

Height of truck: 2 1/2 yds

Volume of truck = Length * Width * Height

Volume of truck = 3 1/2 * 5 * 2 1/2

Volume of truck = 7/2 * 5 * 5/2

Volume of truck  = 7/4 cubic yards

For each box

Length L = 1/2 yd

Volume of each box = 1/2 * 1/2 * 1/2

Volume of each box = 1/8 cubic yds

Since 1 box = 1/8 cubic yds

x box = 7/4 cubic yds

Cross multiply

1/8x = 7/4

Cross multiply

4 * x =   7 * 8

4x = 56

x = 56/4

x = 14

Hence the total boxes that can fit in the trunk is 14boxes

6x+30=180

6×=180-30

×=150/6

×=25

6x=6×25=130

Answer:

65.97

Step-by-step explanation:

Don't really know how to explain how to do this, but Omni Calculator is very helpful.

Hope that this helps!

Answer:

|x-15|=0

Step-by-step explanation:

Obviously.

Answer:

|x-15|=0

Step-by-step explanation:

Answer:

Well Ima need the question buddy

Step-by-step explanation:

After all shrek can’t answer a question without a question.

Answer:

46400 rands

Step-by-step explanation:

Because it's common sense

Answer:

7: 28x+4 6:20x+2

Answer:

245 is the best answer. I am right ta boy

Answer: 245

Step-by-step explanation:

60 + 120 + 65 = 245

Answer:

66 cm³

Step-by-step explanation:

From the diagram,

Volume of the prism(v) = Area of the base (A)×Height(h)

v = A×h............... Equation 1

But,

A = bh/2.................... Equation 2

Where b = base of the triangle, h = height of the triangular base.

Substitute equation 2 into equation 1

v = (bh/2)H.................... Equation 3

Also for the diagram,

Given; b = 3 cm, h = 4 cm, H = 11 cm

Substitute these values into equation 3

v = (3×4×11)/2

v = 132/2

v = 66 cm³

Answer:

your answer will be J. Y=-8

Step-by-step explanation:

Y=mx+b (6, -8)

(-8)= 0(6) +b

(-8)= 0+b

(-8)= b

Y=0(6)-8

y=-8

Answer: 300

Step-by-step explanation: Math - 35X10-50

I may be wrong sorry!

Replace x with 10 in the given function.

We are seeking f(10).

f(10) = 35(10) - 50

f(10) = 350 - 50

f(10) = 300

After 10 hours, Bill's profit is $300.

Answer:

I don't really understand this problem from the picture but here is some tips-

Step-by-step explanation:

Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x -axis. The range is the set of possible output values, which are shown on the y -axis.

Use the picture attached. Sorry for not answering the exact question!

Can I get brainliest?

Answer:

It is correct how you put it

Answer:

D

Step-by-step explanation:

Answer:

I think the answer is 30.

Answer:

349 butterflies

Step-by-step explanation:

The formula for Exponential Decay =

y = a(1 - r)^t

Where y = Size of population after time t = ?

a = Initial size of population = 500

r = Decay rate = 5%

t = Time = 7 years

Hence,

y = 500(1 - 0.05)⁷

y = 500(0.95)⁷

y = 349.16864805 butterflies.

Approximately = 349 butterflies

Answer:

5

Step-by-step explanation:

if the whole segment is 17 and FG is 12, you would do 17-12 to get EF

Answer:

I think its 5

Step-by-step explanation:

You have to add EG and FG. Sorry if its incorrect im not very good at this kind of thing.

Answer:

Perimeter = (16z - 2)

Step-by-step explanation:

Perimeter of a polygon = sum of the lengths of all sides of the polygon

Sum of all sides of the trapezoid = (z + 5) + (8z - 10) + (4z + 9) + (3z - 6)

By adding like terms,

Perimeter of the trapezoid = ( z + 8z + 4z + 3z) + (5 - 10 + 9 - 6)

                                            = 16z - 2

Therefore, expression representing the perimeter of the trapezoid will be,

(16z - 2)

Answer:

1. 40

2. 35.71

Step-by-step explanation:

using

pythagoras theorem

EBK THE ANSWER IS Y O U R M O M I S G A Y

Answer:

Yes

Step-by-step explanation:

Ye yes yes =yes yes hes

Answer:

v = 1

Step-by-step explanation:

v -10= -9

Add 10 to each side

v -10+10= -9+10

v = 1

Answer:

[tex]17\sqrt{3}[/tex]

Quiz Results:

The length of the longer leg in the considered 30-60-90 Special Right Triangle is given by: Option 3) 17√3yd

The right angled triangle in which, the angles are of the measure 30, 60 and 90 degrees is called 30-60-90 Special Right Triangle.

For any triangle ABC, with side measures |BC| = a. |AC| = b. |AB| = c,

we have, by law of sines,

[tex]\dfrac{sin\angle A}{a} = \dfrac{sin\angle B}{b} = \dfrac{sin\angle C}{c}[/tex]

Remember that we took

[tex]\dfrac{\sin(angle)}{\text{length of the side opposite to that angle}}[/tex]

The wider the angle is, the larger the side opposite to is.

For this right angled triangle, the side opposite to 60 degrees angle is larger leg (let it be of x yd), and the side opposite to 30 degrees angle is shorter leg (of 17 yd).

As shown in the image below, using the sine law for non right angles,  we get:

[tex]\dfrac{\sin\angle A}{a} = \dfrac{\sin\angle B}{b}\\\\\dfrac{\sin(30^\circ)}{17} = \dfrac{\sin(60^\circ)}{x}\\\\x =\dfrac{17 \times \sin(60^\circ)}{\sin(30^\circ)} = 17\sqrt{3} \: \rm yd[/tex]

Thus, the length of the longer leg in the considered 30-60-90 Special Right Triangle is given by: Option 3) 17√3yd

Learn more about law of sines here:

https://brainly.com/question/17289163

Answer:1216

Step-by-step explanation:

It’s to big and if this helps plz but a brainly :)

Answer:I think it's trying to find the area of which is a 5 times 2 = 10

Step-by-step explanation:

Answer:

your answer is 3x2+10x−7

Step-by-step explanation:

Answer:

I might be wrong but I think it's 180 millimeters.

Step-by-step explanation:

4cm times 5cm times 9cm = 180 millimeters

1. 4cm times 5cm = 0.002 m^2

2. 0.002 m^2 times 9cm = 180 millimeters

Hopes this helps. If not please tell me. I will try to improve.