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.

Answers

Answer 1

The interpretation of the x-intercept in the context of the given problem is: B. After 16 months, the business will have $0 remaining in their technology budget.

How to Find and Interpret the X-intercept of an Equation?

To find the x-intercept of an equation, substitute the value of y = 0, and solve for x. It is the value of x when y or the output = 0.

Given the equation, T(x) = −135x + 2160, where T(x) is the amount of money remaining in the budget for technology, and x is the number of months, the x-intercept would be the number of months that the business will have $0 in their budget for technology.

To find the x-intercept, substitute T(x) = 0, into T(x) = −135x + 2160:

0 = −135x + 2160

135x = 2160

Divide both sides by 135

135x/135 = 2160/135

x = 16

This means after 16 months, the technology budget that the company will have remaining is $0.

Learn more about the x-intercept of an equation on:

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Related Questions

Find the slope of the line that contains (−3,5) and (3,−9).

If the slope is not an integer, enter it is a fraction in simplest form. Do not enter a mixed number. Remember, a fraction in simplest form never contains a negative sign in the denominator. If the slope is undefined, “undefined” should be entered.

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The slope is this and that

Need help thanks
It’s Trigonometry and it’s hard.

Answers

Y should be 9 the same as the opposite side and the third side is the sum of the other two sides which should be 18 hope it helped so I’m sure ur answer is a I’m in 9th grade and working on something similar but that’s geometry not trigonometry

help pleas ..........................

Answers

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.

Write an equation and find missing angle . 6x ° and 30 °​

Answers

6x+30=180

6×=180-30

×=150/6

×=25

6x=6×25=130

I need help on this question. I tried finding the answer through my own thinking and the Internet, but I still couldn't get it.

Answers

Answer:

your answer is 3x2+10x−7

Step-by-step explanation:

PLEASE HELP!!! Given PQ. Find the measure of arc PQ, if the radius is 30 and chord PQ = 36. Round to nearest degree.

Answers

Answer:

I think the answer is 30.

v -10= -9
v= _____

explain how you do it.

Answers

Answer:

v = 1

Step-by-step explanation:

v -10= -9

Add 10 to each side

v -10+10= -9+10

v = 1

I am R80000 pay 42% tax how much money do I pay in tax??​

Answers

Answer:

46400 rands

Step-by-step explanation:

Because it's common sense

HEY THERE! PLS HELP ME WITH THIS MATH QUESTION- AN EXPLANATION WOULD BE GREAT! THE CORRECT ANSWER SHALL BE MARKED AS BRAINLIEST AND ACHIEVE 10 POINTS! THANKS :)

xoxo

Answers

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.

Each base in this oblique prism is a right triangle.

What is the volume of the figure?

Answers

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

Movers are filling the truck below with cube shaped boxes. If each box has edge lengths of 12 yard, how many total boxes will fit in the truck? L: 3 1/2 yds W: 5 yds H: 2 1/2 yds

Answers

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

50 Points
Find the value of r in the figure.
Assume that lines a and bare parallel.
(4r - 30)
(2x)
b

Answers

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)

The number of butterflies in an exhibit is decreasing at an exponential rate of decay. The number of butterflies is decreasing by 5% every year. There are 500 butterflies in the exhibit right now. How many butterflies will be in the exhibit in 7 years? Round your answer to a whole number.

Answers

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

Which one is it ? NO LINKS
245
55
180
65

Answers

Answer:

245 is the best answer. I am right ta boy

Answer: 245

Step-by-step explanation:

60 + 120 + 65 = 245

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Answers

Both would be SAS
And it can be proven

Answer:

It is correct how you put it

Write an expression that represents the perimeter of a trapezoid with side lengths z+5,8z-10, 4z+9, and 3z-6

Answers

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)

What is the equation of the line that has a slope of 0 and passes through the point (6, -8)?

Answers

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

Sumeet bought a few fidget spinner and divided it equally among six of his friends and his sister, Jasmine. While playing, Jasmine lost 2 fidget spinners and has only 12 fidget spinners at present. Find how many fidget spinners did Sumeet buy in all.

Answers

Answer:

Yes

Step-by-step explanation:

Ye yes yes =yes yes hes

HELPP asap I’ll mark you as brainlister

Answers

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!

HELP ASAP DUE SOON! GIVING BRAINLIESTT!

Answers

Answer:

1. 40

2. 35.71

Step-by-step explanation:

using

pythagoras theorem

PLEASE HELP ME ILL GIVE 70 POINTS AND MARK BRAINLIEST

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Answer:

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

Write the absolute value equations in the form |x-b|=c(where b is a number and c can be either number or an expression) that have the following solution sets:
One solution: x=15

Answers

Answer:

|x-15|=0

Step-by-step explanation:

Obviously.

Answer:

|x-15|=0

Step-by-step explanation:

Help me please I'm very confused about this!

Answers

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

Step-by-step explanation:

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Answers

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?

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Answers

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

Please help and thank you

Answers

Answer:

D

Step-by-step explanation:

Bill is a painter, who has been hired to paint a house.
• He receives an houry rate of $35 an hour.
• The materials Bill had to purchase cost $50 for the job.
• The amount of money Bill makes in profit, after working "x" hours, is modeled by the function:
f(x) = 352 – 50
Determine Bill's profit after working 10 hours.

Answers

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.

63
Which expression is not equivalent to
66
A
62
B
1
216
1
D

Answers

Answer:1216

Step-by-step explanation:

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

What’s the answer it’s due in 15 mins

Answers

attach a picture? i don’t see anything

Answer:

Well Ima need the question buddy

Step-by-step explanation:

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

HELP!!!!!FAST!!!NOW!!!!HURRY!!!!PLS!!!!

The length of the shorter leg of a 30-60-90 Special Right Triangle is 17 yd long. How long is the longer leg of the triangle?
1) 17yd
2) 17√2yd
3) 17√3yd
4) 34yd

Answers

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

What is a 30-60-90 Special Right Triangle?

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.

What is law of sines?

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

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