PLEASE HELP!!!
The perimeter of a rectangular coffee table is given by the trinomial 2t2+4t+2. The table's length is 2t-3. What is the table's width?

Answers

Answer 1

Answer:

t^2+4

Step-by-step explanation:

The perimeter of the table can be given by the equation 2l+2w, and we know the length is 2t-3, meaning 2(2t-3)+2w=2t^2+4t+2, as we know 2t^2+4t+2 is the perimeter. Simplifying we get:

4t-6+2w=2t^2+4t+2

4t+2w=2t^2+4t+8

2w=2t^2+8

w=t^2+4

This means that the table's width is t^2+4


Related Questions

Many U.S. employees received a 3% raise in 2012. Suppose an employee made $47,000 in 2011 and received a 3% raise. What did she make in 2012?

Answers

Answer:

48,410

Step-by-step explanation:

47,000 + 3% = 48,410

you start at 5,4 and move 2 units left and 2 units down

Answers

Answer:

(3,2)

Step-by-step explanation:

Answer:
(3,2)

Explanation:
When you move the point up, add to the y-coordinate. When you move the point down, subtract from the y-coordinate.
When you move the point to the right, add to the x-coordinate. When you move the point to the left, subtract from the x-coordinate.

(5,4)
Because we move 2 units left, we subtract 2 from the x-coordinate.
(3,4)
Because we move 2 units down, we subtract 2 from the y-coordinate
(3,2)

I hope this helps!

A petting zoo has 7 lambs, 12 rabbits, 6 goats, and 3 piglets. Find the
ratio of rabbits to the total number of animals. Write the ratio in
simplest form.

Answers

Answer:

3:7

Step-by-step explanation:

The number of rabbits is 12 while the total number of animals

7 + 12 + 6 + 3 = 28

So the ratio of rabbits to animals is 12:28 = 3:7

In a school contest, each student draws a number from 1 to 5 out of a large basket. The outcomes are shown in the table below.
Number Drawn 1 2 3 4 5
Times Drawn 83 79 88 72 85

Based on the data, what is the expected probability of drawing a 3?

Answers

Answer:

88/407

Step-by-step explanation:

The required, based on the data given, the expected probability of drawing a 3 is approximately 0.216 or 21.6%.

What is probability?

Probability can be defined as the ratio of favorable outcomes to the total number of events.

Here,

To find the expected probability of drawing a 3, we need to calculate the total number of times any number was drawn and the number of times a 3 was drawn:

Total number of times any number was drawn = 83 + 79 + 88 + 72 + 85 = 407

The number of times a 3 was drawn = 88

The probability of drawing a 3 is then the number of times a 3 was drawn divided by the total number of times any number was drawn:

Probability of drawing a 3 = 88/407 ≈ 0.216

Therefore, based on the data given, the expected probability of drawing a 3 is approximately 0.216 or 21.6%.

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Which of the following is the same as 4*39*23

Answers

Answer:

What are the answer choices if there are any

Step-by-step explanation:

Segment AB has endpoints A(5, 2) and B(9, 10) that is divided by a point C such that AC and BC form a 2:3 ratio. The distance between the x-coordinates is 4 units. Which of the following fractions represent how far C is on the pathway from A to B? (6 points)

3 over 5
3 over 2
2 over 3
2 over 5

Answers

The answer is D. 2 over 5

Step-by-step explanation:

Took the test.

1. Angela was doing her homework when her dog bit

off a piece of paper. All she had left was the start

of the sequence: 4, 12, ... and the fact that 972 was some term of the sequence.

a. If the sequence is arithmetic, what is the equation of the nth term and what number term is 972?

Answers

Answer:

The equation is 8n-4 and 972 is the 122nd term of the sequence

Step-by-step explanation

12-4=8

12-8=4

8n+4

972+4=976

976/8=122

A city has a population of 350,000 people, suppose that each year the population grows by 5%. What will the population be
after 14 years?

Answers

Answer:

595,000

Step-by-step explanation:

find 5% of the present population

5/100*350,000 =17,500

there fore the population increases by 17,500 yearly

in 14 yrs time

=(14*17500) + 350,000

=245000+350000

=595000

36 = 4x

Thank you | (• ◡•)|

Answers

Answer:

x = 9

Step-by-step explanation:

the answer is x=9 have a good one!

Which of these lengths could be the sides of a triangle?
A) 5 cm, 19 cm, 14 cm
B) 14 cm, 24 cm, 8 cm
C) 19 cm, 5 cm, 15 cm
D) 24 cm, 14 cm, 9 cm

Answers

Answer:

c

Step-by-step explanation:

in order for it to be a triangle the smaller sides have to add up to be greater than the longest side

for a 5+14=19 so that is not a triangle because the  side dont add up to be greater than 19

for b 14+8=22 so that is also not a triangle because the sides dont add up to be greater than 24

for c 5+15=20 so that is a triangle because to 2 shorter sides added are greater than the longest side

for d 14+9=23 so that is not a triangle because the two smaller sides dont add up to be greater than 24

HURRYYY!!
Which of the following expressions is correctly written in scientific notation?
32.1 x 107
7.31 x 10-2
0.22 x 10-

Answers

Answer:

The middle one

Step-by-step explanation:

What is the point on the unit circle for the angle below? Help Res 60° (1.0) 2 ?] 2 ) 9 2 Enter​

Answers

Answer:

1 and 3

Step-by-step explanation:

Answer:

The answer is

[tex] \frac{1}{2} \: and \: \frac{ \sqrt{2} }{2} [/tex]

Step-by-step explanation:

Let The point (X, Y)

Since half of the diameter is equal to 1

Then

[tex] {x}^{2} + {y}^{2} = 1[/tex]

Why is the measurement of angle is equal to 60, this triangle was equal

Then

[tex] {(x - 1)}^{2} + {y}^{2} = 1[/tex]

By comparing the equals together

[tex] {x}^{2} = {(x - 1)}^{2} \\ {x}^{2} = {x}^{2} - 2x + 1 \\ 2x = 1 \\ x = \frac{1}{2} \\ Compensation \: in \: any \: equation \\ then \: y = \frac{ \sqrt{2} }{2} [/tex]

What property is demonstrated in the equation below? 4(5 + 3) = (5 + 34 associative commutative o distributive zero product​

Answers

Answer:

Distributive Property

Step-by-step explanation:

4*(5+3) basically equals 4*5 + 4*3 which is 20 + 12 which is 32.

Answer:

distributive

Step-by-step explanation:

i took this test

ASAP ASAP ASAP ASAP MATH MATH MATH homework

Answers

Answer:

$20

Step-by-step explanation:

Simple, if he sold 16 pretzels, and each one costs $1.25, then multiply the cost by how many:

16X1.25=20

So he got $20

I hope this helps!

Answer:

20

Step-by-step explanation:

Can someone please help me????

Answers

Answer:

No

Step-by-step explanation:

No, because BA is the same side as EF and the difference is 5. But CA is the same side as ED and the difference is 7.5. All sides would have to increase or decrease by the same number to get to the other triangle and in this case they do not.

yeah it’s a no.
answer is no

The equation y
= 10x + 15 represents a gym that charges. What is the slope and y-intercept?

Answers

Answer:

Slope=10 Y=15

Step-by-step explanation:

Goes up by 10

Starts at 0,15

The slope of an equation is 10 and the y-intercept is 15. Therefore, option B is the correct answer.

What is the equation of a line?

The general equation of a straight line is y=mx+c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.

Given that, the equation y= 10x + 15 represents a gym that charges.

By comparing y=10x+15 with y=mx+c, we get

Slope (m)=10 and y-intercept (c)=15

Therefore, option B is the correct answer.

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39 divided (2+1) - 2x(4+1)

Answers

the answer is,

[tex]13 - 10x[/tex]

does anyone know how to do this

Answers

Answer:

Step-by-step explanation:

The domain is basically the highest x and the lowest x.

[-3, ∞)

The range is the highest and lowest y.

[-4.649, ∞)

Local maximum is the highest part of the specific part of the graph.

(-1.423, 3.389)

And the local minimum is basically the same thing but with the lowest part.

(1.757, -4.649)

f(x)=|2x+1|+3
g(x)=-2

find (f+g)(x)

Answers

Answer will be : b

hope this help's

Help pleassssee

An investment of £150 increases by 2.5% each year, for 3 years. Calculate the value of the investment at the end of the period

Answers

150 * 1.25 * 1.25* 1.25 = £292.97
Hope it helps

GEOMETRY: You are building a shelf that fits in a corner. In the figure, the entire shelf is IJK . Each unit in the coordinate plane represents one inch.

Answers

Answer:

A= 12.5 inches²

Step-by-step explanation:

a=1/2bh

a=1/2(5)5

a=1/2(25)

a= 12.5

In a triangle, the measure of the first angle is 24 degrees more than the measure of the second angle. The measure of the third angle is four times the measure of the second angle. If the total number of degrees in a triangle is 180, what is the measure of the largest angle?
26 degrees
50 degrees
104 degrees
136 degrees

Answers

Here goes the answer. Hope it helps.

Measure of largest angle in a triangle is equals to 104 degrees.

What is triangle?

" Triangle is a 2 dimensional geometrical figure which has three sides and three vertices. Sum of all the angles of triangle is equals to 180°."

According to the question,

x represents the measure of first angle

y represents the measure of second angle

z represents the measure of third angle

Situation 1: First angle is 24 degree more than second angle , it represents the equation:

x = 24 + y               ____(1)

Situation 2: Third angle is four times the measure of second angle, it represents the equation:

z = 4y                       ___(2)

Situation 3: Total number of degree in a triangle is 180, it represents the equation :

x + y + z = 180°           ____(3)

Substitute the value of (1) and (2) in (3) we get,

24 + y + y + 4y = 180°

⇒ 6y + 24 = 180°

⇒ 6y = 180 - 24

⇒ 6y = 156

⇒ y = 26degrees

Therefore,

x = 24 + 26

  = 50 degrees

z = 4 × 26

  = 104 degrees

Hence, measure of largest angle in a triangle is equals to 104 degrees.

Learn more about triangles here

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please please help.
What is the total bill for a $54 dinner with a 5% sales tax and a 20% tip?

Answers

Answer:

%68.04

Step-by-step explanation:

Find the value of x so that f(x)=3

Answers

Answer:

f(x) = (1/3)x - 2  

f(x) = (1/3)(3) - 2  

f(x) = 1 - 2  = -1

Step-by-step explanation:

f(x) usually refers to a function not a multiplication of two variables

Use the dimensions of the rectangular prism to label the indicated dimensions of its net.
Height is 29, width is 16, length is 9.

Answers

Answer:

It will be the 26th divided by 7

(-3a^2 + 4a -5 +6a^3) + (-3a + 4 + 10a^2)

Answers

Answer

=6a3+7a2+a−1

Step-by-step explanation:

Let's simplify step-by-step.

−3a2+4a−5+6a3−3a+4+10a2

=−3a2+4a+−5+6a3+−3a+4+10a2

Combine Like Terms:

=−3a2+4a+−5+6a3+−3a+4+10a2

=(6a3)+(−3a2+10a2)+(4a+−3a)+(−5+4)

=6a3+7a2+a+−1

Evaluate the expression when a=3, b=2, and c=12: 6+a​

Answers

9 is your answer.


6+3 is 9. You added these two because a=3.

Find the values of x and y - will give brainliest if right

Answers

Answer:

x=31 and y=45.........

Answer:

4x=3y-11

3y-11=180-56

3y-11=124

3y=135

y=45

4x=124

x=31

Step-by-step explanation:


What is the slope of the line?
It would also be very helpful if you could simplify the way you solved the problem :)

Answers

3/1 or 3

i just counted going up and then went over because of rise over run but... you can also use y2-y1/x2-x1 with two different points to get the answer

Please help the question is in the picture

Answers

Answer:

(1,-4)

Step-by-step explanation:

the solution is

(1, -4)

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