Factor completely 7x2-45x-28

Answers

Answer 1

9514 1404 393

Answer:

  (x -7)(7x +4)

Step-by-step explanation:

The term -45x can be rewritten using factors of (7)(-28) that have a total of -45. Those factors would be ...

  (7)(-28) = (4)(-49)

7x^2 +4x -49x -28 = x(7x +4) -7(7x +4) = (x -7)(7x +4)


Related Questions

You have $25.00. You want to buy chocolate for Valentines Day. Each box costs $6.99?Do you have enough money to buy three boxes? Do you have any amount of money leftover? If so, how much?

(Can someone help?)

Answers

Answer:

yes and u will have and u will have 0.28 left over

Step-by-step explanation:

25/7=0.28

The black triangles are similar. Find the value of x.
27
X
16
18

Answers

Answer:

x=24

Step-by-step explanation:

tell me if you want the steps

Answer:

x=24

Step-by-step explanation:

Question Help
Writing Ann's car can go 238 miles on 7 gallons of gas. During a drive last weekend, Ann used
8 gallons of gas. How far did she drive? Use pencil and paper. Explain how the problem changes
if you were given the distance Ann drove last weekend instead of how much gas she used.

Answers

Answer:

272

Step-by-step explanation:

do 238 divided 7 you get 34 then you multiply it by 8

Given :

Writing lan's car can go 238miles on 7 gallons of gas.

During a drive last weekend, lan used

8 gallons of gas.

To find :-

How far did he drive?

Solution :-

According to Question ,

Car can go 238 mi on 7 gallons of gas.

Using Unitary Method ,

On 1 gallon of gas it will go 238/7 mi

On 8 , it will go 238/7*8= 272miles

Hence the required answer is 272 miles.

20 POINTS
Write an equation for the line that is
perpendicular to the x-axis at the point (5,0). What
is the slope of the line?

Answers

Answer:

x = 5

Step-by-step explanation:

A perpendicular line that passes through the point (5, 0) is a vertical line in which all points have 5 as their x-coordinate.

The slope is undefined since the slope of all vertical lines is undefines.

Answer: x = 5

Answer:

equation:  y = 5

slope is zero

Step-by-step explanation:

Mr. Sampson wants to ship a birthday gift to his son in the navy. To meet shipping requirements at the Local U
Pack It We Ship it Store, the perimeter of the rectangular-shaped gift box must be less than 30 inches. Write
and graph an inequality to describe this situation.

X= length
Y= width

Answers

Answer:

Step-by-step explanation:

If length of the box = x

And width of the box = y

Then perimeter of the box = 2(length + width)

                                            = 2(x + y)

Since, perimeter of the box is less than 30 inches.

2(x + y) < 30

x + y < 15

y < -x + 15

Since, this inequality has a sign of less than, line on the graph will be a dotted line.

y intercept of the dotted line y = 15 (by x = 0)

x intercept of the line x = 15 (by y = 0)

Constraints for the graph will be,

x > 0

y > 0

Now we can plot the dotted line by joining the x and y intercepts.

In this graph common region under the dotted line between x axis and y axis will be the solution area of the given inequality.

Kimberly has a job to tile a room 14 x 12 ft with 1 ft square tiles. How many tiles Does he need?

Answers

She needs 168 tiles.

Find Cos b in the triangle

Answers

Answer:

3/5

Step-by-step explanation:

SOHCAHTOA

Cos- adjacent/hypotenuse

adjacent side: 3

hypotenuse: 5

adj/hyp: 3/5

Mrs. Pints wrote the volume formula as
“V=Bh”. What does ”B“ represents

Answers

Answer B stands For Base and h stands for Height

solve the inequality for x: -2x - 2 - 3
D) x > - 5

Answers

Answer:

Step-by-step explanation:

lets solve the inequality by adding like terms

-2x-5>0 ?

-2x>5

x>-5/2

Find the product. Write your answer as a decimal 0.01(4.6)(-200) =

Answers

Answer:

I believe the answer is -9.2

Step-by-step explanation:

There is a guitar that originally costs $249.99. It is on sale for 15% off. You also have to pay 6% sales tax. How much will you pay for the guitar? Please show work!!!

Answers

Answer:

225.24099

Step-by-step explanation:

249.99(0.15) = 37.4985

249.99 - 37.4985 = 212.4915

212.4915(0.06) = 12.74949

212.4915 + 12.74949 = 225.24099

A housing developer wants to create 45 house lots for every 10 acres of land. All the house lots will be the
same size and shape. Which of these is closest to the amount of land required to create 105 house lots?



A. 11 acres

B. 25 acres

C. 42 acres

D. 63 acres

Answers

Answer:

25 acres

Step-by-step explanation:

25 acres  hope this helps

Answer: B.25 acres because:

105/45=2.3
2.3 x 10= 23
23 is the closest to 25

Kate is going to purchase a coat for $38, pants for $45, and 2 pairs of shoes for $34 each. If she has $180 to spend, how much will she have left over after she buys everything she wants?

Answers

Answer:

151

Step-by-step explanation:

38+45+2(34)=151

HELP ASAP!!!!! PLEASE

Answers

Answer: imma say A

Step-by-step explanation: sorry if wrong

Help me please thanks

Answers

Answer: P = 79 feet

Step-by-step explanation:

V = (l)(w)(h)

171,114 = (57)(38)(p)

171,114 = 2,166p —> multiply

79 = p —> divide both sides by 2,166

WILL GIVE BRAINLIEST IF RIGHT

The graph below shows the relationship between the number of miles traveled and the time.
Which statement about the unit rate of the graph is true?

A. The unit rate is 1.

B. The unit rate is 30.

C. The unit rate is 1/12.

D. The unit rate is 12.

Answers

Answer:

where are the graphs

Step-by-step explanation:

What is the perimeter of a square with a length of 19 meters?

Answers

The answer is b 38cm

Answer:

76 m

Step-by-step explanation:

If each side has a length of 19 m, then the perimeter is 19m*4 = 76 m

please help and please explain how you got the answer, thank you!!

Answers

Answer:

327

Step-by-step explanation:

[tex]\frac{(3+9)8}{2} (2)+9(11)+8(11)+3(11)+10(11)=96+88+33+110\\ = 327[/tex]

Answer:

60

Step-by-step explanation:

So we have all four side lengths: 8, 3, 10, and 9. Since there's one diagonal side, the best way to solve this is to split the shape in two. So the area of the first shape would be 24 because 8 x 3 is 24. The other one would be different. The side length is 8, so we multiply 9 by 8 and get 72. But since it's a triangle, we have to divide that by 2. Then we get 36. If you add 36 and 24, you get 60. That would be your area.

In triangle XYZ, XY¯¯¯¯¯¯¯¯=15, YZ¯¯¯¯¯¯¯=8, ∡X=(3w−35)°, and ∡Y=52°. In triangle RST, RS¯¯¯¯¯¯¯=15, RT¯¯¯¯¯¯¯=8, ∡R=(w+17)°, and ∡S=52°. Find the angle measure for each of the four angles whose measures are not known.



A. ∡R=43°, ∡T=85°, ∡X=43°, ∡Z=85°


B. ∡R=64°, ∡T=64°, ∡X=64°, ∡Z=64°


C. ∡R=35°, ∡T=93°, ∡X=35°, ∡Z=93°


D. ∡R=52°, ∡T=76°, ∡X=52°, ∡Z=76°

Answers

Answer:

A. ∡R=43°, ∡T=85°, ∡X=43°, ∡Z=85°

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. The types of triangles are scalene triangle, equilateral triangle, right angled triangle and obtuse triangle.

Cosine rule states that given a triangle with sides a, b, c and their corresponding angles opposite to the sides as A, B, C. Then:

[tex]a^2=b^2+c^2-2bc*cos(A)[/tex]

In triangle XYZ, we can find XZ using cosine rule:

[tex]XZ^2=XY^2+YZ^2-2(XY)(YZ)cosY\\\\subtituting:\\\\XZ^2=15^2+8^2-2(15)(8)cos(52)\\\\XZ^2=141.24\\\\XZ=11.88\\\\Using\ sine\ rule:\\\\\frac{XZ}{sin(Y)}=\frac{XY}{sin(Z)}\\\\\frac{11.88}{sin(52)}=\frac{15}{sin(Z)}\\\\sin(Z)=15*sin(52) /11.88\\\\sin(Z)=0.9946\\\\Z=sin^{-1}(0.9946)\\\\Z=85^0[/tex]

∠X + ∠Y + ∠Z = 180° (sum of angles in a triangle)

∠X + 52 + 85 = 180

∠X + 137 = 180

∠X = 43°

∠X = 3w - 35

3w - 35 = 43

3w = 78

w = 26

In triangle RST, using sine rule:

∠R = w + 17

∠R = 26 + 17

∠R = 43°

∠R + ∠S + ∠T = 180° (sum of angles in a triangle)

43 + 52 + ∠T = 180

∠T + 95 = 180

∠T = 85°


A full glass of water can hold 1/6 of a bottle.
How many glasses of water can be filled with 3 1/2. bottles of water?

Answers

Answer:

21 glasses

Step-by-step explanation:

6 glasses in a bottle

3 x 6 = 18

3 glasses in half a bottle

18 + 3 = 21

Answer:

21 glasses

Step-by-step explanation:

let 'g' = glasses of water

create a proportion, glasses over bottles equals glasses over bottles

1 = g

1/6   7/2

cross-multiply:  1/6g = 7/2

cross-multiply:  2g = 42

g = 21

PLS HELP ILL GIVE BRAINLIEST AND EVERYTHING ELSEE

Which model is equivalent to 4(2x +4)?

Answers

Answer:

option 4 should be the correct answer

If u had 693 cats and 593 died

Answers

Answer:

you would have 100 cats left

Solve −6x+6−7=2x+8 for x. How would I solve this?

Answers

Answer:

Step-by-step explanation:

−6x+6−7=2x+8

-1-8=2x+6x

8x=-9

x= -[tex]\frac{9}{8}[/tex]

Can anyone give me the awnser?​

Answers

Answer:

Step-by-step explanation:

You want to reverse the algebra and solve for y. First you want to subtract the 'a' to both sides.

x - a = -2by^2

Divide by -1 on both sides

-x + a = 2by^2

Divide by 2b on both sides

(-x + a)/2b = y^2

Take the square root of both sides

[tex]\sqrt{(-x+a)/2b}=y[/tex]

How is the solution of 2y=8 related to the solutions of 2y < 8

Answers

Answer:y=4 and the bottom is boundary point

Step-by-step explanation:

Answer:

y=4 and the bottom is boundary point

Step-by-step explanation:

x and y are two non-zero real numbers such that: x²-y²=15 and x+y=3√5. then x-y=
A. √15
B. √5
C. -3√5​

Answers

Answer:

[tex](x-y)=\sqrt{5}[/tex]

Step-by-step explanation:

[tex]We\ are\ given\ that:\\x^2-y^2=15\\x+y=3 \sqrt{5}\\Now,\\We\ know\ that,\\If\ x\ and\ y\ are\ two\ real\ numbers,\\Then:\\(x+y)(x-y)=x^2-y^2\\Here,\\Substituting\ (x+y)=3\sqrt{5}\ in\ the\ LHS\ and\ (x^2-y^2)=15\ in\ the\ RHS,\\(x+y)(x-y)=x^2-y^2\\3\sqrt{5} (x-y)= 15\\Hence,\\(x-y)=\frac{15}{3\sqrt{5} } \\(x-y)=\frac{5*3}{3\sqrt{5} }\\(x-y)=\frac{5}{\sqrt{5} } [Cancelling\ 3\ from\ the\ numerator\ and\ denominator]\\(x-y)=\frac{\sqrt{5}*\sqrt{5} }{\sqrt{5} }\\(x-y)=\sqrt{5}[/tex]

Which of these is an example of an overdraft?
A.having $378.12 in your checking account and writing a check for $349.02.
B.having $450.22 in your checking account and writing a check for $462.05.
C.having $183.19 in your checking account and writing a check for $144.43
D.having $556.29 in your checking account and writing a check for $490.77

Answers

Answer: B.having $450.22 in your checking account and writing a check for $462.05.

Step-by-step explanation: took the quiz.

Find 18.5% of 500- I couldn’t seem to figure this one out for some reason I dunno

Answers

Answer:

92.5

Step-by-step explanation:

18.5

[tex] \frac{18.5}{100} \times 500 \\ \\ [/tex]

100 times 5 is 500

so 100 is cancelled and 500 becomes 5

therefore 18.5 times 5 is equal to 92.5

Answer:

92 1/2   or   92.5

Step-by-step explanation:

how to solve?

Put it into a percent proportion :D!

Percent proportion is is/of=%/100 or a/w=p/100

The a stands for "part"

and the w stands for "whole"

p stands for "percent"

Is/of=%/100 will help you figure it out if it's in a mathmatical sentence.

Since they did NOT give you what the "is" is, you put the variable "a"

a/   =

Next,

Since it said "of"

You put of underneath the unknown number "is" (a)

a/500=

Now put in the percent

a/500=18.5/100

Now cross multiply!

Then you should get 92.5!

HOPE THIS HELPS :DDD

Find the length of side BC.
Give your answer to 3 significant figures.

Answers

Answer:

BC ≈ 19.4 cm

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos71° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AB}{BC}[/tex] = [tex]\frac{6.3}{BC}[/tex] ( multiply both sides by BC )

BC × cos71° = 6.3 ( divide both sides by cos71° )

BC = [tex]\frac{6.3}{cos71}[/tex] ≈ 19.4 cm ( to 3 significant figures )

I need help with this it's with slopes.

Answers

Answer:

Yes, Suri and Juan can make the same amount of wages by working the same number of hours in one week.

Step-by-step explanation:

The equation to figure out how many hours they will have to work is:

15x+25=14x+50

x=25

Now that we know that they have to work 25 hours, we substitute that in for x and that equals $400.

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