A practice field is in the shape of a rectangle. The area of the practice field is represented by 5x^2 + 30x -7xy -42y. Find the expressions that represent the length and width of the practice field.

Answers

Answer 1

Answer:

length and width are x + 6 and 5x - 7y

Step-by-step explanation:

5x² + 30x - 7xy - 42y

= 5x(x + 6) - 7y(x + 6)

= (x + 6)(5x - 7y)

so

length and width are x + 6 and 5x - 7y


Related Questions

Find the value of x

A. 25°
B. 85°
C. 75°
D. 105°

Answers

Answer:

75⁰ Please refer to the picture above for the answer

32 gallons per minute to how many quarts per hour

Answers

Answer:

The answer is 7680

Step-by-step explanation:

First you multiply 32 by 4(the usual formula) which gives you 128. However, the time changes the some things. So then you must multiply 128 by 60 (60 minutes in one hour). Which gives you 7680

hope i helped :D

A train ride is 8 hours long every 2/3 hours the conductor checks on the passengers how many times during the trip does he check on the passenger Please show work​

Answers

Answer:

The conductor checked on the passengers 12 times.

Step-by-step explanation:

To find how many times the conductor checks on the passengers, you must do

8 divided by 2/3

because you have to find how many 2/3 (times checked by conductor) are in 8 hours.

8/1 ÷ 2/3

Switch the two numbers of 2/3 or find the reciprocal which is

3/2

and change ÷ to ×

Now solve.

8/1 x 3/2 =  24/2 (8x3=24 and 1x2=2)

which Simplified is

12/1 or 12

Check your answer:

12/1 x 2/3 = 24/3 = 8

The conductor checked on the passengers 12 times.

given the series 1+2+4+8+.... find the 8th term​

Answers

Consider the [tex]n[/tex]-th partial sum of a geometric series with first term [tex]a[/tex] and common ratio [tex]r[/tex] between consecutive terms. Then the sum of the first [tex]n[/tex] terms of this series is

[tex]S = a + ar + ar^2 + \cdots + ar^{n-1}[/tex]

Multiply both sides by [tex]r[/tex], then subtract [tex]rS[/tex] from [tex]S[/tex] and solve for [tex]S[/tex].

[tex]rS = ar + ar^2 + ar^3 + \cdots + ar^n[/tex]

[tex]S - rS = a - ar^n[/tex]

[tex]\implies S = \dfrac{a(1-r^n)}{1-r}[/tex]

In the given series, we have [tex]a=1[/tex] and [tex]r=2[/tex]; then the sum of the series with [tex]n=8[/tex] terms is

[tex]S = \dfrac{1-2^8}{1-2} = 2^8 - 1 = \boxed{255}[/tex]

create a truth table for The Logical statement​

Answers

In the third column, the sequence is: F, T, F, T

You flip whatever you see in the q column since ~q means "not q".

--------------

In the fourth column is: T, T, T, F

The general form of p -> q is false if p is true while q is false; otherwise, it is true. So ~q -> p is false when ~q is true and p is false.

c or b???????????????

Answers

Answer:

i think it's b4

Step-by-step explanation:

combine like terms in the expression 2y-8+3y+7-y

Answers

Answer:

I think the answer is( =4y-1)

Step-by-step explanation:

2y-8+3y+7-y

=2y+3y-y-1

=4y-1

Evaluate 4(x-3) + 5x-x^2 for X=2

Answers

Answer:

Your answer is: x = 2

So this is your equation answer: x=2 is 2

Step-by-step explanation:

Hope this helped : )

Q2. The sum of the 3rd term to the 7th in a geometric series is 3267. Find the first term if the common ratio is 3. (3 marks)​

Answers

Answer:

142884, Answer,

Step-by-step explanation:

The first term of a GP is 7, the ratio is 3. What is the sum of the 7th and 10th term?

Solution: In the given GP, a = 7 and r = 3.

The sum of the 7th and the tenth terms

= T7 +T10 = ar^6 + ar^9 = ar^6[1+r^3]

= 7*3^6[1+3^3]

= 5103*28

= 142884, Answer,

please mark brainliest

The first term of geometric series is, a = 363/82

What is Geometric sequence?

An sequence has the ratio of every two successive terms is a constant, is called a Geometric sequence.

Give that;

Sum of T₃ and T₇ of geometric series = 3267

And, common ratio(r) = 3

Hence, To find first term (a) we can use formula as;

Tₙ = arⁿ⁻¹

Now,  put the value on formula;

T₃ = a(3)³⁻¹

T₃ = (3)²a

And, T₇ = a(3)⁷⁻¹

T₇ = (3)⁶a

Since, T₃ + T₇ = 3267

Hence,

(3)²a + (3)⁶a = 3267

3²(a + 3⁴a) = 3267

(a + 3⁴a) =363

a + 81a = 363

82a = 363

a = 363/82

Thus, The first term of geometric series is, a = 363/82

Learn more about the geometric sequence visit:

https://brainly.com/question/25461416

#SPJ2


PLEASE HELP!

The endpoints of CD are C(1,-6) and D(7,4). Find the coordinates of the midpoint M.

Answers

Answer:

(4, -1)

Step-by-step explanation:

Given:

C(1, -6)

D(7, 4)

Required:

Midpoint of CD using [tex] M(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}) [/tex]

SOLUTION:

[tex] M(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}) [/tex]

Let [tex] C(1, -6) = (x_1, y_1) [/tex]

[tex] D(7, 4) = (x_2, y_2) [/tex]

Thus:

[tex] M(\frac{1 + 7}{2}, \frac{-6 + 4}{2}) [/tex]

[tex] M(\frac{8}{2}, \frac{-2}{2}) [/tex]

[tex] M(4, -1) [/tex]

write a quadratic function h whose only zero is -4

Answers

Step-by-step explanation:

[tex]0 - 4 = x = x + 4 = 0[/tex]

[tex]0 = x = 1.11111111111...[/tex]

This equation ends completely without the use of zero

Convert MCCCXL{roman numerals} into numbers​

Answers

Answer:

one thousand three hundred and forty

Step-by-step explanation:

M stands for one thousand

C stands for one hundred

C stands for one hundred

C stands for one hundred

XL stands for forty

Answer:

1340

Step-by-step explanation:

M = 1000

C = 100, since he have 3 C's, it becomes 300

L = 50

X = 10

The X is behind the L so the value is subtracted by 10.

L(50) - X(10) = XL(40)

find the volume of the cylinder formed when the rectangle in the figure is rotated about the x-axis.

A. 62.83 units
B. 157.08 units
C. 314.15 units
D. 31.42 units

Answers

Answer:

A

Step-by-step explanation:

that means the radius of the left and right circles is 2 units.

and the height of the cylinder is 5 units.

the volume of a cylinder is calculated by first standing it upright on one of the circles, and then the volume is ground area times height.

the area of a circle is pi×r².

so the volume here for us is then

pi×2²×5 units = pi×4×5 = pi×20 = 62.83185307... units

and that makes A the correct answer.

8-9(x+1) = ax+4
In the equation shown above a is the constant ?

Answers

a= -9 - 5/x
hope this helps !

A file that is 242 megabytes is being downloaded. If the download is 18.7% complete, how many megabytes have been downloaded? Round your answer to the
nearest tenth.

Answers

Answer:

45.3 megabytes

Step-by-step explanation:

242 x 18.7%

= 242 x 0.187 = 45.254 = 45.3 megabytes

Customers at the gym pay a membership fee to join and then a fee for
each class they attend. Here is a graph that represents the situation.

1. What is the slope?
F. What is the y-intercept?

Answers

Answer:

Slope = 20

y-intercept = 60

Step-by-step explanation:

Slope formula is given as [tex] m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]

Pick two points on the line and use their coordinates. Let's pick (1, 80) and (2, 100).

Let,

[tex] (1, 80) = (x_1, y_1) [/tex]

[tex] (2, 100) = (x_2, y_2) [/tex]

Plug the values above into the formula for slope:

[tex] m = \frac{100 - 80}{2 - 1} = \frac{20}{1}} = 20 [/tex]

Slope of the graph is 20.

The y-intercept is the point where the line intercepts the y-axis. Thus, y-intercept = 60.

For each of the following questions, draw a diagram to explain your answer.

a. How many fourths are in one half?

b. How many sixths are in two thirds?

c. How many fourths are in six eighths?

d. How many halves are in 3 5/10​

Answers

Answer:

fourth are in one half

Step-by-step explanation:

please mark me as brainlist please

Help help math ASAP please thank you I’ll give points to honest answers

Answers

Answer:

[tex]\displaystyle y = -2x + 8[/tex]

Step-by-step explanation:

Perpendicular equations have OPPOCITE MULTIPLICATIVE INVERCE RATE OF CHANGES [SLOPES], so ½ becomes −2. Now, proceed with plugging the information into the Slope-Intercept Formula:

[tex]\displaystyle 2 = -2[3] + b \hookrightarrow 2 = -6 + b; 8 = b \\ \\ \boxed{y = -2x + 8}[/tex]

I am joyous to assist you at any time.

Caleb was recently hired for a job with an annual income of $35,000. Using the federal income rate of 15 %, what amount should Caleb expect to
pay in federal income tax?

Answers

Answer:

answer will be 5250

-------------------------------

[tex]35000 \times \frac{15}{100} = 350 \times 15 = 5250[/tex]

3. A playground designer wanted to place a fountain so that it was close to both the slide and the swings.

Refer to the coordinate grid shown. Each unit on the grid represents 5 ft.


(a) Find the distance from the fountain to the slide. Show your work.

Answers

Answer:

10ft

Step-by-step explanation:

Hi! Thanks for using Brainly! My work and explanation is shown below!

Equation Used to Solve:

5x

Solve:

5(2)=10

The slide is 10ft away from the fountain since each unit equal 5 ft, each increase by 1 on the y-value is 5ft, and each increase by 1 on the x-axis is 5ft, meaning that if the slide is at (-2, 0) and the fountain is at (-2, -2) there was an increase of 10ft total.

Graph the line using a point and a slope. Write the equation of each line.

a line that passes through the point (0, –3) and parallels to another line whose slope is

1.2.

Answers

Answer:

y=1.2x-3

Step-by-step explanation:

I had this as an rsm problem a few weeks ago and forgot how to solve it lol hope this helps

Convert 40 ounces into pounds. Round your answer to the nearest tenth.
Hint There are 16 ounces in one pound.
A. 2.5 pounds
B. 640 pounds
C. 0.4 pounds
PLS ASAPPP

Answers

Answer:

Step-by-step explanation:

What is the value of x?
3
4
5
6

Answers

Answer:

x=3

Step-by-step explanation:

2×0.05=0.1

0.09x ÷ 0.09 = 1

2+x = 2+1 = 3

HENCE 3 IS THE ANSWER

here a subtraction problem that has been solved incorrectly 21-9=11 what is the correct way​

Answers

The correct wat is 21-9=12

Katie’s cell phone plan includes 400 peak minutes. Last month Katie used 240 peak minutes. This month Katie used 300 peak minutes. What was the percent increase in the number of peak minutes Katie used? HELP ASAP

Answers

Answer:

25%

Step-by-step explanation:

So you subtract the number of peak minutes Katie used last month from the number of peak minutes Katie used this month. Divide the difference by the number of peak minutes Katie used last month. Then multiply by 100 to find the percent increase. Katie used 25% more peak minutes this month than last month.

Hope i helped

Answer:

25%

Step-by-step explanation:

April
carpeting. The floor is
a. Draw a sketch and label the label the
b. If the carpeting costs $1.75 per square foot, how much will it cost to buy the exact amount of
carpeting needed to cover the entire living room?
RESEALAB

Answers

hey honey , the answer is b


If carpeting cost 1.75

helppppppppp.........................​

Answers

Answer:

you find the solution to each then arrange from smallest to largest and you'll get the answer

Answer:

D

Step-by-step explanation:

A: 2346

B: 357

C: 168

D: 1239

E: 12345

when put in order from smallest to largest, the order is:

C, B, D, A, E

The middle is D, so the answer is D.

7. In how many ways can 7 different flowers be arranged in a row?​

Answers

You can arrange flowers 5040 ways

Pls help mee
Show your work pls not just the answer thank you

If five people share three cartons of chow mein, what is each person's share?​

Answers

Answer:

1.6 is how much each person gets

hope this will helpful to you

Determine the number of zeros of the polynomial function.
f(x) = x3 + 3x2 + 2

Answers

Answer:

3

Step-by-step explanation:

the fundamental theorem of Algebra states that a polynomial of degree n has n zeros, some of which may be complex.

f(x) = x³ + 3x² + 2 ← is a polynomial of degree 3

Then number of zeros is 3

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