The area (in square inches) of a rectangle is given by the polynomial function A(x) = x² + 10x + 24. If the width of the rectangle is (x + 6) inches, what is the length?

Answers

Answer 1

Answer:

x + 4

Step-by-step explanation:

We can see this because x² + 10x + 24 is divisible by x + 6, giving us the quotient of x + 4.

We can demonstrate that by simply multiplying the two binomials:

(x + 4)(x + 6)

= x² + 6x + 4x + 24

= x² + 10x + 24

Answer 2

Answer:

x+4

Step-by-step explanation:


Related Questions

A garden is shaped like a rectangle whose perimeter is 260 ft. The length is 9 times as long as the width. Find the length and the width

Answers

Answer:

The length is 117 ft and the width is 13 ft.

Step-by-step explanation:

From the question itself, we can write down the following equations...

(Let "P" be the perimeter of the rectangle, Let "L" be the length, and let "W" be the width, then...)

L = 9W

and

P = 2L + 2W

Now, we substatute the "L" value and get...

P = 2L + 2W

260 = 2(9W) + 2W

260 = 20W

W = 260 / 20

W = 13

Since we know the width we can now find the length by using the very first formula...

L = 9W

L = 9(13)

L = 117

Therefore, the length is 117 ft and the width is 13 ft.

Given the functions f(x) = x² – 8 and g(x) = 4-x, determine the equation for the combined function
y=f(x) - g(x).

Answers

Answer:

[tex]y=x^2+x-12[/tex]

Step-by-step explanation:

f(x) = x² – 8 and g(x) = 4-x

y=f(x) - g(x)

y=(x² – 8) - (4-x)

[tex]y=x^2-8-4+x\\y=x^2+x-12[/tex]

Question 9 of 10
What is the solution to this equation?
4(x - 8) + 10 = -10
A. X = 2
B. x = 5
C. X = 4
D. X = 3

Answers

Answer:

D.

Step-by-step explanation:

D is the correct answer

Which is the graph of a logarithmic function

Answers

Second graph is a logarithmic function:))

y = 2x - 9
Determine the slope and the y-intercept (entered as an ordered pair) of the equation above. Reduce all fractions to lowest terms.
Slope:
y-intercept:

Answers

Oh gosh lol was so sad and he said oh okie so cute ☺️ oh okie so

nesecito ayuda para hacer el ejercico es para hoy!!!!! Un número se multiplica por 37 y al sumar los productos parciales resulta 7890. ¿Cuál es la suma de cifras del número

Answers

If you translate it to English I’ll answer for you

3. Jenny bought 7 jackets and 10 winter hats. The jackets cost $8 dollars each, and the winter hats cost $4 each. Write an equation to show the total cost c, in dollars, of the items Jenny bought.​

Answers

Answer:

7(8)+10(4)=c

Step-by-step explanation:

Hope this helped!

13x² -7x -8 how to solve this​

Answers

Answer:

132x-8

Step-by-step explanation:

I think I might be wrong, but hopefully this is helpful, and yet I still find this confusing.

It's a simplification I don't know if you needed that.

Find the area: someone help me

Answers

The answer is 56m^2.
The formula for finding area of a triangle is A=b•h/2.
So the base is 16m and the height is 7m. 16m•7m=112m^2
Now divide 112m^2 by 2.
112m^2/2=56m^2

i do not understand this please help me

Answers

Answer: Plane AEF

Step-by-step explanation: Parallel means equal or same as. If you follow the letters BCD you can see that it sorta makes a triangle shape. So if you follow the answer choices you could see that AEF is the only one that does what BCD does if that makes sense :)

A small rectangular tray measures 16 cm by 18 cm. How long is the diagonal?

Answers

18 cm I believe because a rectangle has parallels

Answer:

24.1cm

Step-by-step explanation:

HELPPPPPPPPP PLEASEEEEEE
I WILLL MARK YOU BRILL

Answers

The third answer is the answer
it’s the third answer
s-10
taking 10 away from s is really just subtracting 10 from s.
:)

Estimate the measurement using significant digits

Answers

Answer:

7 = 3 inches

8 = 16 centimeters

Answer ASAP ASAP needed now

Answers

Answer:

C

Step-by-step explanation:

tanθ =  opposite/adjacent       --->     θ = arctan(opposite/adjacent)

opposite = 51

adjacent = 68

θ = arctan(51/68)

Simplify.
(-216) ^-1/4

Answers

Answer:14 or 0.25

Step-by-step explanation:

It’s basically already written there but decimal form is 0.25

Mrs. Java invests $4000 at 10% annual return and $6000 al 12% annual return. How much should she invest at 15% return so that her total annual retum is 13% of the total amount she has invested?​

Answers

Answer:

Step-by-step explanation:

Interpreting as: 6000

Input:

6000

Number line:

Number line

Number name:

six thousand

Roman numerals:

\!\(\("V"\)\&_\)M

Binary form:

1011101110000_2

Prime factorization:

2^4×3×5^3

Residues modulo small integers:

m | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9

6000 mod m | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 6

Properties:

6000 is an even number.

6000 is a number that cannot be written as a sum of 3 squares.

6000 has the representation 6000 = 3^5 5^2 - 75.

6000 divides 49^10 - 1.

Character code 6000:

| Tagbanwa letter sa

Unicode: U+1770 (decimal: 6000)

Mathematica: \:1770

(Tagbanwa)

1a)Every morning, Jim goes for a morning walk. His normal walking speed is 3 1/2 km per hour, and he walks
a total distance of 10 km every day. How much time does he take to cover one km?
minutes
Answer
17 1/7

1b)How much time does it take him to complete his morning walk?

Answers

9514 1404 393

Answer:

17 minutes 8.6 seconds (17 1/7 min)2 hours 51 minutes 26 seconds (2 h 51 3/7 min)

Step-by-step explanation:

The relationship between time, speed, and distance is ...

  time = distance/speed

__

a) For 1 km, the time in hours is ...

  time = (1 km)/(3.5 km/h) = 1/3.5 h = 2/7 h

In minutes, that is ...

  (60 min/h)(2/7 h) = 120/7 min = 17 1/7 min . . . . time for 1 km

__

b) The time for 10 km is 10 times the time for 1 km, so will be ...

  (10)(2/7 h) = 20/7 h = 2 6/7 h

In hours and minutes, that is 2 hours and (6/7)(60 min) = 360/7 min = 51 3/7 min.

The time for 10 km is 2 hours 51 3/7 minutes.

Given f(x) = -5x + 4 and g() = x4, choose
the expression for (fºg)(x).

Answers

Answer:

-16

Step-by-step explanation:

fog(x)=f(gx)

= -5×4+4

= -20+4

= -16

If you buy a 64 ounce carton of juice for 3.69, how much is the unit price to the nearest 10th of a cent

Answers

Answer:

£ 0.058

Step-by-step explanation:

Hope it is helpful....

Please help and don’t scam for points

Answers

Answer:

I'm guessing the equation would be 5x=30 and x would = 6

Step-by-step explanation:

5x = 30

5       5

x  =   6

WALLAHI HELP ME PLEASE I BEG ANYONE THIS IS HARD

Answers

Answer:

D.(-3,-7)

Step-by-step explanation:

5x+8=-5x-22

5x+8+5x=-22

10x+8=-22

10x=-22-8

10x=-30

x=-30/10

x=-3

y=5x+8         x=-3

y=5(-3)+8

y=-7

Different dealers may sell the same car for different prices. The sale prices for a particular car are normally distributed with a mean and standard deviation of 26 thousand dollars and 2 thousand dollars, respectively. Suppose we select one of these cars at random. Let X= the sale price (in thousands of dollars) for the selected car. Find P(X>25), left parenthesis, X, is greater than, 25, right parenthesis. You may round your answer to two decimal places.

Answers

Answer:

P(X > 25) = 0.69

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

The sale prices for a particular car are normally distributed with a mean and standard deviation of 26 thousand dollars and 2 thousand dollars, respectively.

This means that [tex]\mu = 26, \sigma = 2[/tex]

Find P(X>25)

This is 1 subtracted by the pvalue of Z when X = 25. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{25 - 26}{2}[/tex]

[tex]Z = -0.5[/tex]

[tex]Z = -0.5[/tex] has a pvalue of 0.31

1 - 0.31 = 0.69.

So

P(X > 25) = 0.69

Answer:

Step-by-step explanation:

Which equation is correct?

75 × 4 = 70 + 5 × 4

75 × 4 = 70 × 4 + 5 × 4

75 × 4 = 700 × 4 + 5 × 4

75 × 4 = 70 × 4 + 5

Answers

The answer is A
75 x 4= 70 + 5 x 4

Use rounding to estimate the product of 1249 and 1194. Round both numbers to the nearest hundred to find your answer.

Answers

Answer:

1,440,000

Step-by-step explanation:

1249 is rounded to 1200 because 49 is less than half of 100.

1194 is rounded to 1200 because 94 is more than half of 100.

1200 x 1200 = 1,440,000

we are working on solving system of equations by substitution. can you please explain how to get the answer for
5x+y=2
x+y=10​

Answers

Answer:

try symbolab calculator it will give you a step by step explanation

Answer:

x= -2

y= 12

Step-by-step explanation:

5x + y = 2..................eqn 1

x + y = 10 ..................eqn 2

from eqn 1

5x + y = 2, u substitute by making 'y' the subject

y = 2 - 5x .................eqn 3

put eqn 3 into eqn 2

x + y = 10

x + 2 - 5x = 10

x - 5x = 10 - 2

-4x = 8

x = 8 / -4

x = -2

put x = -2 into eqn 1

5x + y = 2

5(-2) + y = 2

-10 + y = 2

y = 2 + 10

y = 12

What is the area of the triangle below? 00 17 O A. 136 sq. units O B. 68 sq. units O C. 25 sq. units O D. 50 sq. units​

Answers

Answer:

B) 68 units^2

Step-by-step explanation:

8 x 17 x 0.5 = 68 units^2

What is the value of x?​

Answers

Answer:

Option A = 6

Step-by-step explanation:

3x- 5 = x+ 7           ( as diagonals r equal in a recangle)

3x-x = 7+ 5

2x = 12

x = 12/ 2 = 6

I hope im  Right !!

a.) A $135 pair of shoes is on sale for 40% off. If the sales tax is 8%, what is the final price of the shoes? The shoes will cost ______

b. A $35 jacket was markup by the store by 27%. What is the selling price of the jacket? The jacket will cost ______.

Answers

Answer:

a is 87.48.

Step-by-step explanation:

135x0.40=54

135-54=81

81x1.08= 87.48

Solve 3n-5p+2n+10p for 'n'

Answers

Answer:pretty sure it is B

Step-by-step explanation:dk

Add: 3 1/5 + 2 2/3 PLEASE HURRY IM TIMED AND JUST PEASE HELP ME

Answers

Answer:

5.86666666667

Step-by-step explanation:

Answer:

Answer is 5 13/15

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