Given the area of a rectangle is 2x2 - 5x - 12, what is the width if the length is x – 4?​

Answers

Answer 1

Answer:

2x + 3

Step-by-step explanation:

So, the equation here is:

[tex]\frac{2x^2 - 5x - 12}{x - 4}[/tex]

And so, using this we can set up our synthetic equation using the dividends as the coefficients of the equation, which are 2, -5, and -12; and the divisor 4, which derives from -4.

It's a bit hard to create a table here, so I'll just write out the values and hope you piece it together.

4 | 2 -5 -12

  | 2  8  12

   2   3  0

Thus, we are given our coefficients for our desired equation.

2x + 3

And we can ascertain this to be the answer by working the converse.

(2x + 3)(x - 4)

2x² - 5x - 12


Related Questions

77 points :)
Which statements correctly use the properties of exponents to simplify? Check all that apply.

Answers

Answer:

A,B,C

Step-by-step explanation:

I did it

Answer:

the answers are a b and c

Step-by-step explanation:

i just did it on edge haha

Mike forgot to have someone water his plants while he was on vacation. The
plant was originally 30 inches tall. When he came back, part of the plant was
dead, so he had to cut off the top. Now it is only 24 inches tall. By what
percent did the plant's height decrease?

Answers

Answer:

6 percent?

Step-by-step explanation:

.

just some easy 5th grade math please help and don’t give me any link.

Answers

Answer:

6 x 3 x 1 = 18

4 x 8 x 3 = 96

18 + 96 = 114 ft cube

In a right triangle, the height is 15 cm and the hypotenuse is 45 cm. What is the base?

A.1800
B.47.4
C.2250
D.42.4


Hurryyyy

Answers

Answer:

D) 42.4

Step-by-step explanation:

a² + b² = c² -----> a² + 15² = 45²

45² - 15² = a² ----->  2025 - 225 = 1800²

42.426406.... ----> D) 42.4

D .................................

Someone please helppp me ! Extra points and brainlest

Answers

Answer:

1 notebook cost $2.27

Step-by-step explanation:

Multiply the unit cost of the pencils by how many pencils you have : ( 1.29*3 = 3.87)

Subtract this from the total cost ( 10.68 - 3.87 = 6.81)

Divide this by 3 since there are 3 notebooks

6.81 / 3 = $2.27

Answer:

2.27

Step-by-step explanation:

have a good day

Write each equation in standard form -3x+5y=-5

Answers

Answer:

Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a ...

Step-by-step explanation:

standard form: 3x- 5y = 5

Help please, and could you show the work?

Answers

Answer:

X = 5

Step-by-step explanation:

use the graph:

look at y = -3 and find the corresponding X value (X = 5)

Solve the linear equation. 2 (3 + 2x) = 10 ​

Answers

the answer to that equation is X= 1

Answer:

-1

Step-by-step explanation:

2(3+2x)=10

6+4x=10

6-10=4x

-4=4x

x=-1

What is -1/2 times 1/4-3/8?

Answers

Answer:

The answer is -0.5

Step-by-step explanation:

Which statement is correct

Answers

The answer is choice C. I mean if you just look at the number lines. Whichever one is closer to the right is greater

Can someone solve 6 and 7 for me I will mark you the brainly pls help I will really appreciate

Answers

Answer:

6) x = 36°, y = 18°

7) z = 7°

Step-by-step explanation:

6) 2x + 3x = 180°

5x = 180°

x = 36°

4y = 2x = 72°

y = 18°

7) 2z + 4 = 4z - 10

2z = 14

z = 7

What is the volume of the cylinder? Use 3.14 for T.

Answers

Answer:

251.33

Step-by-step explanation:

have a good day! :)

Marie runs a dog-walking business. She charges a $10.75 base fee for each dog she walks, plus an additional $7.10 per hour that she walks the dog. Each day she spends $5.50 on dog treats. How much money Marie would earn in one day if she worked for 4 12 hours? A. $26.45 B. $31.95 C. $37.20 2. $42.70​

Answers

Answer:

I believe 31 dollars and 95 cents

Step-by-step explanation:

Marie would earn $37.2 in 4 1/2 hour.

What is Unitary Method?

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas. This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Marie charges a $10.75 base fee for each dog she walks,

and, additional $7.10 per hour that she walks the dog.

Each day she spends $5.50 on dog treats.

So, if Marie works for 4 1/2 hour then she can earn

= 10.75 + 4 1/2 x 7.1 - 5.5

= 10.75 + 4.5 x 7.1 - 5.5

= $37.2.

Hence, Marie would earn $37.2.

Learn more about Unitary Method here:

https://brainly.com/question/22056199

#SPJ2

Compare the properties of the function f(x) = 2x2 + 4x + 5 to the function given by the table. Which statements are correct?

Answers

Answer:B, C, D

Step-by-step explanation:

I did the USATESTPREP

g(x)=x-3
f(x) = -2x + 2
Find g(f(x)

Answers

Answer:

- 2x - 1

Step-by-step explanation:

[tex]g(x)=x-3 \\ f(x) = -2x + 2 \\ g(f(x)) = ( - 2x + 2) - 3 \\ g(f(x)) = - 2x + 2 - 3 \\ g(f(x)) = - 2x - 1[/tex]

An apple costs $2.00 more than amango. The total cost of
three apples and a mango is $50.00.
put it in algebra pls

Answers

Answer:

,,,,,,, ,,,,,,,,,,,,,,,,,

Answer:

1 mango = 11 dollars

1 apple = 13 dollars

Step-by-step explanation:

Let [tex]a[/tex] be equal to the cost of an apple.

Let [tex]m[/tex] be equal to the cost of a mango.

1) Create equations

An apple costs $2.00 more than a mango.

⇒ [tex]m+2=a[/tex] (the cost of a mango + 2 dollars = cost of an apple)

The total cost of three apples and a mango is $50.00.

⇒ [tex]3a+m=50[/tex] (3 apples*the cost of 1 apple + cost of 1 mango = 50 dollars)

2) Solve for m and a

[tex]3a+m=50[/tex]

Substitute a with [tex]m+2[/tex]

[tex]3(m+2)+m=50\\3m+6+m=50\\4m+6=50[/tex]

Subtract both sides by 6

[tex]4m+6-6=50-6\\4m=44[/tex]

Divide both sides by 4

[tex]\frac{4m}{4}=\frac{44}{4} \\m=11[/tex]

Therefore, the cost of 1 mango is 11 dollars.

[tex]m+2=a[/tex]

Substitute m with 11 to solve for a

[tex]11+2=a\\13=a[/tex]

Therefore, the cost of 1 apple is 13 dollars.

I hope this helps!

£770 is divided between Mark, Henry & Gavin so that Mark gets twice as much as Henry, and Henry gets three times as much as Gavin. How much does Henry get? £770 is divided between Mark, Henry & Gavin so that Mark gets twice as much as Henry, and Henry gets three times as much as Gavin. How much does Henry get?

Answers

Answer:

henry gets 231

Step-by-step explanation:

my head

Answer:

231

Step-by-step explanation:

Let's consider that Gavin got X pounds.

Then Henry gets 3 times as much as Gavin => 3X

And Mark gets twice as much as Henry => 2 * 3X

Together they get 770, so:

X + 3X + 2*3X = 770

10X = 770  =>  X = 77

As we mentioned, Henry gets 3X, so

3X = 3 * 77 = 231

K
29
6x – 5
1 point
What is the value of x, in degrees?
15
в ОООО
18.22
20
2x – 3
24
(х+8
L
J
30
1 point
What is the measure of ZL?
115
93
ОООО
28
37

Answers

Answer:

1.x=20

<L=37

Step-by-step explanation:

(x+8)+(2x-3)+(6x-5)=180

x+8+2x-3+6x-5=180

9x-8+8=180

9x=180

x=180/9

x=20

<L=2x-3

<L=2*20-3

<L=40-3

<L=37

What is the area of the triangle?
7
5
4
units?
Please help

Answers

Answer:

[tex] 10 \: {units}^{2} [/tex]

Step-by-step explanation:

Area of triangle

[tex] = \frac{1}{2} \times base \times height \\ \\ = \frac{1}{2} \times 4 \times 5 \\ \\ = 2 \times 5 \\ \\ = 10 \: {units}^{2} [/tex]

-2.2 = x - 4.2

solve for x

Answers

Answer:

2

Step-by-step explanation:

Add 4.2 to both sides

x = 2

If the surface area of a cube is 390 in.² and which best describes the length of the side cube

Answers

Answer:

sqrt65, or 8.06225775

Step-by-step explanation:

390/6=65

sqrt65=8.06225775

In the diagram of triangle FJH below, KG || JH, FK=3, KJ=15, and FG=4. What is the length of FH?

Answers

Given:

In triangle [tex]FJH,KG\parallel JH, FK=3, KJ=15,\text{ and }FG=4.[/tex]

To find:

The length of [tex]FH[/tex].

Solution:

Basic proportionality theorem(BPT): If a line intersect the two sides of a triangle and parallel to third side of the triangle, then it divides the sides proportionally.

In triangle [tex]FJH,KG\parallel JH[/tex].

Using BPT, we get

[tex]\dfrac{FK}{KJ}=\dfrac{FG}{GH}[/tex]

[tex]\dfrac{3}{15}=\dfrac{4}{GH}[/tex]

On cross multiplication, we get

[tex]3\times GH=4\times 15[/tex]

[tex]GH=\dfrac{60}{3}[/tex]

[tex]GH=20[/tex]

Now,

[tex]FH=FG+GH[/tex]

[tex]FH=4+20[/tex]

[tex]FH=24[/tex]

Therefore, the length of FH is 24 units.

While standing on top of a hill at a ski resort, Lisa spots the ski lodge below. If the vertical height of the hill is 1209 feet and the angle of depression is 53°, what distance must Lisa ski in order to reach the lodge?

Answers

Answer:

1514 feet

Step-by-step explanation:

We solve using the trigonometric function of Sine

sin θ = Opposite/ Hypotenuse

θ = Angle of depression = 53°

Opposite = Vertical height = 1209 feet

Hypotenuse = x =??

Hence,

sin 53 = 1209 feet/x

Cross Multiply

sin 53 × x = 1209 feet

x = 1209 feet/ sin 53

x = 1513.8320107 feet

Approximately = 1514 feet

Therefore, the distance Lisa must ski to reach the lodge is 1514 feet

The graphs of f(x) = 5x and its translation, g(x), are shown on the graph.What is the equation of g(x)?

Answers

Answer: Your answer would be D:)  g(x) = 5x – 10

Help me With 1 and 3

Answers

Answer:

1. A

2. B

Step-by-step explanation:

They want to isolate x in both cases.

So the best choice for question 1 is A because if he adds 10 to both sides x will be positive.

On question 3 the best choice is subtracting 15 from both sides

The answer is number 1

I think the bigger number would be 203 but I don't knowwww

Answers

Step-by-step explanation:

Let the number of psychology books be 'x'.

and that of sociology books be 'y'.

x + y = 317 (given)

Number of sociology books sold was 89 less than that of psychology books.

y = x - 89

Which means,

x + x - 89 = 317

2x = 317 + 89

2x = 406

x = 406/2 = 203

y = 203 - 89 = 114

Hence, 203 psychology books and 114 sociology books were sold.

If y varies inversely with the square of x, and y = 26 when x = 4, find y when x = 2. Question 20 options: A) 52 B) 13 C) 208

Answers

i believe your answer is A.

Show and explain how you would solve the following equation by graphing x - 2 = 5

Answers

Answer:

See below

Step-by-step explanation:

If you graphed x-2=5, you would see a vertical line crossing the point x=7, as shown in the graph because 7-2=5.

Solve for a
-1/4a- 4=7/4a- 3

Answers

Answer:

a=−1/2

Step-by-step explanation:

A basket contains 10 red apples and 7 green apples. One apple is selected at random and is not replaced. A second apple is then selected What is the probability that the first apple!
green and the second apple is red?

Answers

The percentage of 7 green apples out of 17 total apples in means of getting one selected is 41%.

Therefore, finding the percentage of 10 out of 17 concludes that a then 58% chance of a red apple being chosen is present.

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