The area of a rectangle is x 2 – 3x – 28. If the width is (x – 7), what is the length? (hint: it is a binomial)

Answers

Answer 1

Answer:

(x + 4)

Step-by-step explanation:

By factoring the area expression we obtain  the length, that is

x² - 3x - 28

Consider the factors of the constant term (- 28) which sum to give the coefficient of the x- term (- 3)

The factors are - 7 and + 4 , since

- 7 × 4 = - 28 and - 7 + 4 = - 3 , then

x² - 3x - 28 = (x - 7)(x + 4)

with width (x - 7) and length (x + 4)


Related Questions

Put it in decimal form plssss………

Answers

The answer is 58, because 2/5 is equal to 0.4, and 0.4 multiplied by 145 is 58.
The answer should be 58.

Ashton is looking for new soccer cleats for the new season. He found the perfect pair, Nike vapor edge pro 360, But the cost is $140 without taxes. Ashton only his $150. If he has to pay the full price and an 8% tax fee, would he be able to buy his cleats? Why or why not.​

Answers

To find the amount of tax you need to multiply the cost by the percentage of tax
140•0.08=11.2
To then find the total cost of the shoes with tax you add 140 + 11.2 = 151.2
So no ashton will not be able to afford the shoes because he is 1.2 dollars over budget.

The length of an intercept arc of a central angle of a circle is 4cm . if the radius of a circle is 5 cm what is the measurement of the central angle to the nearest whole number​

Answers

It be 46

45.84 is the decimal

Use the tables to create the function in slope-intercept form
*Look at photo*
[tex]y = mx + b[/tex]

Answers

3) m= 1/3 b=2 y= 1/3x +2

4) m= -1/2 b=4 y= -1/2 +4

Can someone help me? Please:(

Answers

Answer:

Sure thing! If you are trying to find the area then multiply the height of the shape by the width, If you are trying to find the perimeter of the shape the add the lengths of all four sides, If you are trying to find the volume of the shape then you need to multiply the length by the width of the shape.

Step-by-step explanation:

Height x width = Area    add the length to all four sides = perimeter    Length x width = Volume

A certain company has a fixed cost of $200 per day. It costs the company $3.10 per unit to make its products. The company is tracking its average cost to make x units using f (x) = StartFraction 200 + 3.10 x Over x EndFraction. Which statement is true? The horizontal asymptote of y = 3.10 represents that the average cost per unit will approach $3.10 as the number of units produced increases. The horizontal asymptote of y = 0 represents that the average cost per unit will approach $0 as the number of units produced increases. The vertical asymptote of x = 3.10 represents that the average cost per unit will approach $3.10 as the number of units produced increases. The vertical asymptote of x = 0 represents that the average cost per unit will approach $0 as the number of units produced increases.

Answers

Answer:

A: The horizontal asymptote of y = 3.10 represents that the average cost per unit will approach $3.10 as the number of units produced increases.

Step-by-step explanation:

The horizontal asymptote of y = 3.10 represents that the average cost per unit will approach $3.10 as the number of units produced increases.

What is the horizontal and vertical asymptotes?

"Horizontal asymptotes are horizontal lines that the graph of the function approaches as x tends to (+ ∞) or (− ∞). As the name indicates they are parallel to the x-axis.

Vertical asymptotes are vertical lines (perpendicular to the x-axis) near which the function grows without bound."

Given equation for the average cost to make 'x' units is:

f(x) = (200 + 3.10x)/x

We can find the horizontal asymptote in the below mentioned way:

Here, f(x) = (200 + 3.10x)/x

⇒ y = (200 + 3.10x)/x

Now, taking the terms with the biggest exponents of 'x', we get:

⇒ y = (3.10x)/x

Now, the horizontal asymptote can be observed by ignoring the all the 'x': Therefore, y = 3.10

Similarly, we can find the vertical asymptote in the below mentioned way:

The given equation is:

f(x) = (200 + 3.10x)/x

Now, we have to take the denominator as zero.

Therefore, f(x) = (200 + 3.10 x)/0

Learn more about horizontal and vertical asymptote here: https://brainly.com/question/3521862

#SPJ2

Henry bought a package of cough drops for $3.79. He gave the clerk a $5 bill. How much change should he receive?

Answers

Answer:

$1.21 he will recieve

Step-by-step explanation:

Subtract the price of the cough drops from $5

5-3.79 = 1.21

He gets $1.21 back.

The sum of two numbers is 7. The larger number is 16 more than 2 times the smaller number. What are the numbers?

Answers

The two numbers are 10 and -3.

-1/2 (b + 2) + 36? ​

Answers

Answer: -1/2b + 35

hope this helped and I would love if you could give me brainliest

If a : b = c d = e:f, show that
a3 + c3 + e3: b3 + d3 + f3
= ace : bdf

Answers

Step-by-step explanation:

here is the same answer question check pls

Solve the system below by substitution. Write your answer as a point like X, Y PLEASE HELP

Answers

Could you please mark me as brainliest?

(2, 1) is the answer.

x = 2, y = 1

Answer:

Answer: (2, 1)

Step-by-step explanation:

y = 6x - 11

-2x - 3y = -7

Substitute y into the equation;

-2x - 3(6x - 11) = -7

Distribute;

-2x - 18x + 33 = -7

Collect like terms;

-20x + 33 = -7

Subtract 33 from both sides;

-20x = -40

Divide both sides by -20

x = 2

Substitute x into the equation;

y = 6(2) - 11

y = 12 - 11

y = 1

Answer: (2, 1)

What is an equation of the line that passes through the point (-5,-3)(−5,−3) and is parallel to the line 3x+5y=15

Answers

Answer:

y = -3/5x - 6 or 3x + 5y = -30

Step-by-step explanation:

Given line:

3x + 5y = 15

Converting into slope-intercept form:

3x + 5y = 155y = - 3x + 15y = -3/5x + 3

Parallel lines have the same slope, so the parallel line will be:

y = -3/5x + b

Using given point (-5, -3) finding the y-intercept:

-3 = -3/5(-5) + b-3 = 3 + bb = -3 - 3b = -6

So the line is:

y = -3/5x - 6

Or converted into standard form:

y = - 3/5x - 63/5x + y = -63x + 5y = -30

The slope of each J, K, and L.
Also.. is the triangle a ...

A—) Right Triangle

B—) Not a Right a triangle

PLZ HELP ME I NEED THIS IN LIKE RIGHT NOWWW

Answers

Answer:

The answer is A

Step-by-step explanation:

good luck and your welcome

i think it’s right triangle

what is the additive inverse​

Answers

Answer:

-3

Step-by-step explanation:

3 + 4m = 43
M=

Answer?

Answers

The answer to this problem is M= 10

Answer:

10

Step-by-step explanation:

Because 3-43=40

40/4=10

I need the graph, and the x-intercept

Answers

Answer:

X Intercept is 1/5 I think not sure

Step-by-step explanation:

A test is worth a total of 150 points and contains 70 questions. Some of the questions are worth 2 points, and some are worth 4 points.

Solve your system of equations from part A using elimination. Then, complete the statement.


The test has ---- questions worth 2 points and ---- questions worth 4 points.

Answers

65 two-point questions, and 5 four-point questions.

Emma answered 2 four-point questions.

Step-by-step explanation:

1. Assigning variables and writing equations

We will set the number of 2 point questions as "x" and number of 4 point questions as "y"

We know that:

[tex]x+y=70[/tex](number of 2 point questions+number of 4 point questions=total number of questions)

[tex]2x+4y=150[/tex] (number of points that a two point question is worth*number of two point questions+number of points that a four point question is worth*number of four point questions=total points on test)

2. Combining equations

[tex]x+y=70 , 2x+4y =150[/tex]

We will solve one of these equations.

[tex]x+y=70[/tex]

[tex]x=70-y[/tex]

Next, we will substitute the other equation with this solution.

[tex]2* (70-y) +4y =150\\140-2y+4y=150\\2y=10\\y=5[/tex]

Use this solution to find x.

[tex]x+y=70\\x+5=70\\x=65[/tex]

We found that there are 65 two-point questions, and 5 four-point questions.

3. Finding Emma's test results

In this case, we know how many two-point questions she answered. So, we will only be using one variable in this equation, which is y.

[tex]46*2+4y=100\\92=4y=100\\4y=8\\y=2[/tex]

So, she answered 2 questions correctly.

PLEASE MARK ME AS BRAINLIEST

Answer:

Step-by-step explanation:

The old man looked out, then beckoned frantically for Greg to follow him. For a moment Greg couldn’t move. Then he found himself following Lemon Brown into the hallway and up the darkened stairs. Greg followed as closely as he could. They reached the top of the stairs, and Greg felt Lemon Brown’s hand first lying on his shoulder, then probing down his arm until he finally took Greg’s hand into his own as they crouched in the darkness. “They’s bad men,” Lemon Brown whispered. His breath was warm against Greg’s skin. Which relationship change occurs in this part of the story?

Answers

Answer:

i think its A?

Step-by-step explanation:

because he is warning greg?

Answer:  A. Lemon Brown becomes protective of Greg.

Step-by-step explanation: I took the test and got it correct

Divide. −19÷34 please help bros

Answers

Answer:

its the first one...

Step-by-step explanation:

keep change flip

keep the first fraction

change the symbol from divide to multiply

flip next fraction so it would be 4 over 3

then multiply straight across

DONT forget the negative tho

Hope this helped!

If you get this correct I will give you brainlest 5 stars and thanked please help on it

Answers

Answer:

6:7 is 24:x

6:7is18:y

24/6=4. 4*7=28!

Therefore 24 : 28

18/6=3. 3*7=21.

Therefore 18:21

Please brainlest and thanks and 5 star rating! Your welcome and I am so happy to help you!

Step-by-step explanation:

for geometry:(

please help, will give brainist

Answers

Answer:

5x+16=6x+7

16=X+7

11=X

Step-by-step explanation:

WAIT I PUT THE WRONG SYMBOL

5X+16=6X-7

16=X-7

23=X

I don’t understand this math at all someone please help !

Answers

I believe the answer is -21i
-21 is the answer!! hope it helps <3

What is the value of the expression (25 + 8)^2 - (8^2 +25^2)?

Answers

Step-by-step explanation:

Answer = 2(25)(8) = 400.

Answer: 400

(25 + 8)^2 − (8^2 + 25^2)

= (33)^2 − (64 + 625)

= 1089 − 689

= 400

Remember:

•follow the BEDMAS or PEDMAS rule
•always go from left to right

Note: the steps could’ve been broken down further but since working on the right side won’t change the left side, in this case, it was just a faster way of showing the results.

Find the precent of each number.
A. 59% of 640
B. 0.20% of 3,542
C. 195% of 568
D. 74% of 920
PLEASE HELP +10 points!

Answers

Answer:

A.)377.6

B.)7.084

C.)1107.6

D.)680.8

Step-by-step explanation:

What is the coefficient in the expression shown?

42 + 2c

2
42
c
2c

Answers

Answer:

The coefficient is 2

Answer:

Step-by-step explanation:

There are two coefficients, one for x raised to the first degree, and the other for x raised to the zeroth degree (i.e. constant term). Thus: coefficient for the constant term : 42 (i.e. 42x^0=42).

What is the value of FC?
A. 63
B. 4
C. 6
D. 9

Answers

Answer:

6

Step-by-step explanation:

Isosceles triangle is the triangle in which two sides of the triangle are congruent.The altitude from the top of an isosceles triangle bisects the base into two equal parts. The value of side FC is 12.

Given-

In triangle ADE side AE and the side DE are congruent.

The other side AD is the base of the triangle.

The triangle ADE is the isosceles triangle. For the isosceles triangle we know that the two sides are equal. In triangle ADE side AE and the side DE are congruent. the other side AD is the base of the triangle. The altitude form the top of an isosceles triangle bisects the base into two equal parts. thus the value of CD and AC is equal. Thus,

[tex]AC=CD[/tex]

In the question the value of CD is twelve units. Thus,

[tex]AC=12[/tex]

Hence the side AC is 12 units.

Now in triangle ABC side AB and the side BC are congruent.

The other side AC is the base of the triangle. The altitude form the top of an  triangle ABC bisects the base AC into two equal. FC are 1/2 of the side AC. therefore,

[tex]FC=\dfrac{AC}{2}[/tex]

[tex]FC=\dfrac{12}{2}[/tex]

[tex]FC=6[/tex]

Hence, the value of side FC is 12 units.

For more about the triangle follow the link below-

https://brainly.com/question/25813512

what is slope if the line x=-1

Answers

Step-by-step explanation:

Vertical line => Slope is Undefined.

Answer:

Undefined.

Explanation:

This is a vertical line, and this line will have an undefined slope.

So the answer is x=-1 is undefined.

Hopefully this is correct. Good luck with your studies.

The price of a video games was reduced from $60 to $45. By what percentage was the price of the video game reduced?

Answers

Answer:

25% is the answer. hdhdhdhdhd

Select all ratios that are equivalent to 4 : 5. (Lesson 4-1)

Multiple select question.

A)
2 : 2.5


B)
2 : 3


C)
3 : 3.75


D)
7 : 8


E)
8 : 10


F)
14 : 27.5

Answers

Answer:

A 2:2.5

Step-by-step explanation:

2:2.5 is the closest ratio to 4:5, it is half of said ratio

Answer:

A, E,F

Step-by-step explanation:

Because I love math and I am very good at it.

2. A retailer offers two options for satellite TV service. A customer may buy the dish for $150 and
then pay $25 per month for service, or simply pay $35 per month for service and dish rental.
When will the services cost the same? How much will it cost at that time?*

Answers

Answer:

The answer 135$

Step-by-step explanation:

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