What is the solution set to the equation
15 – 4x = x2 - 6x ? Show your work algebraically.

Answers

Answer 1

Answer:

The solution of given expression = 5 , -3

Step-by-step explanation:

Given expression;

15 - 4x = x² - 6x

Find:

The solution of given expression

Computation:

15 - 4x = x² - 6x

x² - 6x + 4x - 15 = 0

x² - 2x - 15 = 0

x² - (5 - 3)x - 15 = 0

x² - 5x + 3x - 15 = 0

x(x - 5) + 3(x - 5) = 0

(x - 5)(x + 3) = 0

So,

x - 5 = 0 and x + 3 = 0

x = 5 and x = -3

The solution of given expression = 5 , -3


Related Questions

Darryl and his dad baked 4 apple pies for the family reunion. They cut each pie into
eighths. How many pieces of apple pie did they bring to the reunion?

Answers

Answer:

32 pieces

Step-by-step explanation:

basically its 8 x 4

8x4=32

you get 8 because it says they are cut into eighths and the 4 because of four pies

Hopes this helps:

Answer: 32 pieces of apple pie.

Please mark as brainlist.

Please this is due at 11/00 pm help me please

Answers

Answer and Step-by-step explanation:

The answer is 54.

We see that each time, the number is being multiplied by 1.5.

54 times 1.5 = 81 * 1.5 = 108

54 times 2 = 108

54 is the starting number, because when you multiply 54 by 1, you get 54 for y.

#teamtrees #PAW (Plant And Water)

Answer: y = 54x

The easiest way to do this is by looking at the column where x = 1. In that column, y = 54, so we know that x times 54 would be equal to y.

If you don't have a column where x = 1, you can divide the y value by the x. Here are two examples:

27 ÷ 0.5 = 54

81 ÷ 1.5 = 54

Find the indicated variable in the trapezoid below.
NEED TO FIND x,y, and z

Answers

9514 1404 393

Answer:

x = 40y = 68z = 128

Step-by-step explanation:

The midsegment (x) has a length that is the average of the base lengths:

  x = (48 +32)/2 = 80/2

  x = 40

__

The end angles are supplementary:

  y° = 180° -112° = 68°

  y = 68

__

  z° = 180° -52° = 128°

  z = 128

last year Patrick paid £2534 for his annual train ticket this year he has to pay £2612 for his annual train ticket. work out the percentage increase in the cost of his train ticket. give your answer correct to 3 significant figures. ​

Answers

Answer:

Percentage increase in the cost of his train ticket = 3% (Approx.)

Step-by-step explanation:

Given:

Cost of annual ticket paid by Patrick last year = £2,534

Cost of annual ticket paid by Patrick current year = £2,612

Find:

Percentage increase in the cost of his train ticket

Computation:

Percentage increase = [(Current - Base) / Base]100

Percentage increase in the cost of his train ticket = [(2,612 - 2,534) / 2,534]100

Percentage increase in the cost of his train ticket = [(78) / 2,534]100

Percentage increase in the cost of his train ticket = [0.03078]100

Percentage increase in the cost of his train ticket = 3.078

Percentage increase in the cost of his train ticket = 3% (Approx.)

the function g is defined as follows for the domain given. g(x)=2x-2, domain=(-3,-2,1,5). find the range of g using set notation.

Answers

Answer:

[tex]Range: \{y|y = -8,-6,0,8\}[/tex]

Step-by-step explanation:

Given

[tex]g(x) = 2x - 2[/tex]

[tex]x = \{x|-3,-2,1,5\}[/tex]

Required

The range using set notation

We have:

[tex]g(x) = 2x - 2[/tex]

When [tex]x = -3[/tex]

[tex]g(-3) = 2*-3 - 2 = -8[/tex]

When [tex]x = -2[/tex]

[tex]g(-2) = 2*-2 - 2 = -6[/tex]

When [tex]x = 1[/tex]

[tex]g(1) = 2*1 - 2 =0[/tex]

When [tex]x=5[/tex]

[tex]g(5) = 2*5 - 2 =8[/tex]

So, we have:

[tex]y = -8,-6,0,8[/tex]

Using set notation, the range is:

[tex]Range: \{y|y = -8,-6,0,8\}[/tex]

Frorn first to last, when did the presidents serve?
Drag the presidents' names into the correct order according to when they served.

Answers

Step-by-step explanation:

you got this i believe in you

he net of a solid figure is shown below: Four squares are shown side by side in a row. The second square has a square above it and a square below it. All the squares have side length equal to 4 inches Which calculation will give the total surface area of the solid figure? 6 ⋅ 4 ⋅ 4 square inches 4 ⋅ 6 ⋅ 6 square inches 6 ⋅ 4 ⋅ 4 ⋅ 4 square inches 4 ⋅ 6 ⋅ 6 ⋅ 6 square inches

Answers

Answer:

A. 6 ⋅ 4 ⋅ 4 square inches

Step-by-step explanation:

From the given question, it would be observed that all the squares have the same dimensions.

Thus,

the total number of squares in the net = 6

surface area of a square in the net = 4 x 4

                                            = 16 [tex]in^{2}[/tex]

so that,

total surface area of the solid figure = 16 x 6

                                            = 96 [tex]in^{2}[/tex]

Also,

6 ⋅ 4 ⋅ 4 = 96 [tex]in^{2}[/tex]

Therefore, the total surface area of the solid figure can be expressed as 96 [tex]in^{2}[/tex]. The appropriate option is A.

Answer:

A

Step-by-step explanation:

1 Which equation is correct for cosignfon

Answers

Answer:

hnjajka

Step-by-step explanation:

wlbhnaewbbu

38
Write as a mixed number.
5
Submit

Answers

Answer:

37 8/8

Step-by-step explanation:

no files or links please give me answer

Answers

Answer:

I think it is J if not it may be H if they are both wrong i am so so sorry

Step-by-step explanation:

need help with this

Answers

(A) delta h(t) = 32

Step-by-step explanation:

Average rate of change delta h(t) is given by

[tex]delta \: h(t) = \frac{h(b) - h(a)}{b - a} [/tex]

at t = 0, h(0) = 80

at t = 2, h(2) = -16(4) + 64(2) + 80 = 144

Plugging in the numbers

delta h(t) = (144 - 80)/(2 - 0)

= 32

Expert answer above me is correct

Help? Can anyone help me out? I’ll give Brainly! :) thank you!

Answers

Answer:

B

Step-by-step explanation:

$970+$2436= $3,406

the 10% and 12% tax brackets equal out to $749.32 total deducted (22%)

side and angle properties of a parallelogram (level 2). NO LINKS!!!

Find the value of x, y, and z.​

Answers

9514 1404 393

Answer:

x = 59°y = 40°z = 81°

Step-by-step explanation:

The marked external angle at B is "corresponding" to the internal angle BAD, so is the same measure. This means ...

  z° +40° = 121°

  z° = 81°

__

Adjacent angles of a parallelogram are supplementary, so ...

  ∠CDA +∠BAD = 180°

  x° + 121° = 180°

  x° = 180° -121°

  x° = 59°

__

Alternate interior angles are congruent, so ...

  y° = 40°

In the diagram, ATPR ~ AXPZ. Find the length of the altitude PY
Х
4.5
Р
own W 4
Y
4.5
Z
The length of altitude PY is


Can someone help me pls

Answers

8.9 I am pretty sure

Which number is closest to 1
A. 0.987
b. 0.111
c.0.561
d. 0.786

Answers

Answer:

Letter A

Step-by-step explanation:

Just think: which number would have the greatest value if it was rounded to the nearest hundredth

Answer: A

Step-by-step explanation:

I think the answer is correct becuase, If we taken all the numbers and put them on a number line they would all be under one. But when we look at the number line we would see that .987 is the closest because it is almost a whole number. And even if we did it without the number line what ever number we see that has the greatest digit and its in the negatives thats the closest to one. (I hope what I said makes sense!)

Hope This Helps!

How do to solve 7x-1 over 22 = 3x+1 over 10

Answers

Answer:

7x-1/22 = 3x+1/10

Multiply both sides of the equation by the Lowest common Multiple of the denominators(22 and 10). This is done to clear the fractions.

The LCM of 22 and 10 is 110

So

110 x(7x-1/22) = 110 x (3x+1/10)

110/22 =5

110/10 = 11

So the eqn now becomes

5(7x-1) = 11(3x+1)

Opening the parentheses

35x - 5 = 33x + 11

Collect Like Terms

35x - 33x = 11 + 5

2x = 16

x= 8.

Question 9 (1 point) Evaluate the expression: For k=4 6k3 la 64 b 24. 384​

Answers

I have to go back and check the book

Pls help simplify! I’ll give brainlest

Answers

Answer:

3^12

Step-by-step explanation:

Answer:

3^12

Step-by-step explanation:

A hot air balloon holds 1,592 cubic meters of helium. The density of helium is 0.1785 kilograms per cubic

rounded to the nearest tenth of a kilogram?

1202 ka

Answers

Answer: 285.2 kg

Step-by-step explanation:

Given

The volume of helium in the balloon is [tex]V=1592\ m^3[/tex]

The density of the helium is [tex]\rho =0.1785\ kg/m^3[/tex]

Mass of the helium gas is given by the product of density and volume

[tex]\Rightarrow M=\rho \cdot V\\\Rightarrow M=0.1785\times 1592\\\Rightarrow M=285.2\ kg[/tex]

Thus, the mass of gas is 285.2 kg

If 1/3 of 33 bakers can make 89 pretzels in 2 1/2 hours, then how many pretzels can 5 3/4 bakers make in 1 1/2 hours? Explain your reasoning. ​

Answers

Answer:

27.91 pretzels.

Step-by-step explanation:

Knowing that 1/3 of 33 bakers can make 89 pretzels in 2 1/2 hours, to determine how many pretzels can 5 3/4 bakers make in 1 1/2 hours the following calculation must be performed:

33 x 1/3 = 11

89 / 2.5 / 11 = X

35.6 / 11 = X

3.236 = X

3/4 = 0.75

3.236 x 1.5 x 5.75 = X

4.854 x 5.75 = X

27.91 = X

Therefore, 5 3/4 bakers can make 27.91 pretzels in 1 1/2 hours.

Oscar wants to fill with water a bucket that is the shape of a right circular cylinder. It has a 6-inch radius and12-inch height. He uses a shovel that has the shape of a right circular cone with a 3-inch radius and 4-inch height. How many shovelfuls will it take Oscar to fill the bucket up level with the top?

Answers

Answer: I think it is 36 shovelfuls

Step-by-step explanation:

V = πr²h

V = π • 6² • 12

V = π • 36 • 12

V = 1357.2in³

V = 1/3πr²h

V = 1/3 • π • 3² • 4

V = 1/3 • π • 9 • 4

V = 1/3 • π • 36

V = 37.7in³

1357.2 ÷ 37.7 = 36 shovelfuls

The ordered pair (3, 2) is the solution of which system
of equations?

Answers

Answer:

A solution to a linear system, or simultaneous solution, is an ordered pair (x, y) that solves both of the equations. In this case, (3, 2) is the only solution.

Step-by-step explanation:

In rolling one die, give the probability a number less than 4 will show.

a: 1 over 4

b: one half (1/2)

c: 1 over 3

d: 2 over 3

Answers

Answer:

A die usually has 6 sides.

Answer - B (1/2)

Solve for xxx in the diagram below.

Answers

X+12+100+x=180
2x+112=180
-112. -112
2x= 68
/2. /2
X= 34

Find the mean proportion between 28 and 63.​

Answers

Answer:45.5

Step-by-step explanation:

A trunk measures 48 inches long, 22 ½ feet wide, and 32 inches high. What is the volume of the box? Answer without units

Answers

Answer:

Volume of trunk = 4,14,720 inches³

Step-by-step explanation:

Find:

Length of trunk = 48 inches

Width of trunk = 22 ½ feet = 45 / 2 = 22.5 feet

Height of trunk = 32 inches

Find:

Volume of trunk

Computation:

1 feet = 12 inch

Width of trunk = 22.5 feet

Width of trunk = 22.5 x 12

Width of trunk = 270 inches

Volume of trunk = Length x Width x Height

Volume of trunk = 48 x 270 x 32

Volume of trunk = 4,14,720 inches³

Help this is do today!!!!!!!! will give extra points!!!! 15+ points

Answers

9514 1404 393

Answer:

  (x, y) = (-2, 7)

Step-by-step explanation:

Add the first equation to twice the second.

  (4x +4y) +2(2x -2y) = (20) +2(-18)

  8x = -16 . . . . . . simplify

  x = -2 . . . . . . . . divide by 8

__

  2(-2) -2y = -18 . . . . .substitute into the second equation

  y + 2 = 9 . . . . . . . . . divide by -2

  y = 7 . . . . . . . . . . . subtract 2

The solution is (x, y) = (-2, 7).

Can someone please help me on number 6 with writing the inequality

Answers

9514 1404 393

Answer:

  3 ≤ z ≤ 20

Step-by-step explanation:

The zoom capability ranges from 3 to 20, so we can write the compound inequality ...

  3 ≤ z ≤ 20

Find the common ratio for the geometric sequence

-24, -12, -6

Answers

Every time they are divided by 2

Can someone help pleasee

Answers

Answer:

C

Step-by-step explanation:

im decently sure but dont rely on this answer

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