What is the solution(s) to the equation? Use algebra only, no graphing.
(5x + 15)(x - 7) = 0

Answers

Answer 1

Answer:

x = -3, x = 7

Step-by-step explanation:

( 5x + 15 ) ( x - 7 ) = 0

5x + 15 = 0

5x = -15

x = -3

x - 7 = 0

x = 7

Answer 2

Answer:

x=−3 or x=7

Step-by-step explanation:

(5x+15)(x-7)=0

5x2−20x−105=0

5(x+3)(x−7)=0

x+3=0 or x−7=0

x=−3 or x=7


Related Questions

Parkside High School was having a talent show to raise money. It was x dollars for adults and $8 for students. Stephanie's family had 4 adults and 1 student. Her family paid $48 to see the show. Write an equation for the word problem. Use the variable x and leave no spaces.

Answers

Answer:

[tex]x = 10[/tex]

Step-by-step explanation:

Given

$x per adult

$8 per student

Population:

[tex]Students = 1[/tex]

[tex]Adults = 4[/tex]

[tex]Total = \$48[/tex]

Required

Determine the equation and solve for x

The system can be analyzed as thus:

The cost for 4 adults is: 4 * x

The cost for 1 students is: 8 * 1

Total Amount is: 48

From the analysis above, the equation is:

[tex]4 * x + 8 * 1 = 48[/tex]

[tex]4 x + 8 = 48[/tex]

Subtract 8 from both sides

[tex]4 x + 8 -8= 48 - 8[/tex]

[tex]4 x= 40[/tex]

Solve for x

[tex]x = 40/4[/tex]

[tex]x = 10[/tex]

JRJSOWNDNFNEOSLDNFBWKWLND

Answers

Answer:

Step-by-step explanation:

the 1 one is the right one

Answer:

A. The afternoon temperature was 5 degrees above the night temperature

Step-by-step explanation:

have a nice day

The Point Imperial is the highest point of the Grand Canyon and it is 8,800
- feet tall. A professional hiker climbed to the top of one of the rims of the
Grand Canyon that is 348 feet below Point Imperial. The hiker threw a rock
upward from that rim with an initial velocity of 18 ft per second. How
many seconds will it take the rock to hit the ground? Round your answer
to the nearest tenth of a second.

Answers

Answer:

1222

Step-by-step explanation:

sorry youve been waiting a minute

2x29divide by 70006=x=?

Answers

Answer:

I think it is 71.222222 repeating

Step-by-step explanation:

Hope this helped have an amazing day!

4. How many terms of the series 64 + 32 + 16 + ... ... must be taken so
that the sum may be 255÷2​

Answers

Answer:

... ... = .5

Step-by-step explanation:

I'm not sure if I'm right. But I got my answer by dividing 255 and 2 first

255 / 2 = 112.5

Then find out what 64 + 32 + 16.

64 + 32 + 16 = 112

Add 0.5 to get the same answer from 255 / 2

64 + 32 + 16 + 0.5 = 112.5

Need helpppp ASAP!!!!!!!

Answers

the answer is c i think
The answer is C.————————————-

a regular square pyramid is 3m height and the perimeter of its base is 16m find the volume of the prism if its height is 10cm.​

Answers

Answer:

240

Step-by-step explanation:

Answer:

16 m^3

Step-by-step explanation:

Question:

"a regular square pyramid is 3m height and the perimeter of its base is 16m find the volume of the pyramid"

volume of pyramid = (1/3) * (area of base) * height

The perimeter of the base is 16 m, and the base is a square.

perimeter of square = 4 * side

4 * side = 16 m

side = 4 m

area of square = (side)^2

area of base = (4 m)^2 = 16 m^2

volume of pyramid = (1/3) * (area of base) * height

volume = (1/3) * (16 m^2) * 3 m

volume = 16 m^2

10 flowers in 5 vases = ? flowers per vase

Answers

Answer:

there are 2 in each vase

Answer:

2 flowers per vase

11.sınıf temel düzey matematik geometri :(

Answers

Step-by-step explanation:

öklid kurali var uygularsak:

(3 kök 5 ) ^(2)=X.(X+4)45= X(X+4) buradan X = 5 Cevap B seçeneği BAŞARILAR...

13. Write an equation in slope-intercept form for the line that passes through the point (-3,5) and is parallel to the equation y = -1/2x + 4​

Answers

(5- -6) is the answer

3) The sum of the digits of a two digit number is 10. If 36 is subtracted from the number,
the digit interchange their places Find the number​

Answers

Answer:

impossible,unless number is zero

Answer:

73

Step-by-step explanation:

Number is xy

x+y=10  .....a

(10x+y) - 36 = 10y+x

10x-x+y-10y=36

9x-9y=36

9(x-y)=36

x-y=4 ....b

a+b: 2x = 14       x = 7

y = 10 - 7 = 3

The two digit number is 73

check:  7 + 3 = 10

73-36 = 37   (73 vs 37)

A line passes through the points (-1, 4)
and (2,-2). What is the equation of this
line?

Answers

Answer:

Concept: Equation of Linear Systems

We will start by finding the slope with the equation y2-y1/x2-x1Hence: -2-4/2-(-1)= -2So we determined the slope to be -2 Now we need to find the y-intercept.Our standard equation is y=mx+b So -2=-2(2)+b b=2So our equation is y= -2x+2Give brainlist

Answer:

Slope =-3

Equation of a line

y-y1=m(x-x1))

y-4=-3(x+1)

y-4=-3x-6

y=-3x-6+4

y=-3x-2

Step-by-step explanation:

HELP PLEASE
find the area of the polygon with the given vertices P(1,1), Q(-2,1), R(-1,-4)

Answers

Answer:

Area = 7.5

Step-by-step explanation:

The area of the triangle bounded by vertices P(1,1), Q(-2,1), and R(-1,-4) will be 7.5 unit square.

What is a triangle?

A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.

The sum of all three angles inside a triangle will be 180° and the area of a triangle is given as (1/2) × base × height.

There are many types of triangles such that right-angle triangles, equilateral triangles, and much more.

Given the triangle with  vertices P(1,1), Q(-2,1), R(-1,-4)

Length between two coordinates (x₁,y₁) and (x₂,y₂) is given by

[tex]d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }[/tex]

By using this formula

PQ = 3 , QR = 5.099 and PR = 5.385

Now,

The area of a triangle with  all three sides is given by

A = [tex]\sqrt{S(S - A)(S - B)(S - C)}[/tex] where A,B and c are sides and s = (A + B + C)/2

So,

S = (3 + 5.099 + 5.385)/2 = 6.742

Now,

A = [tex]\sqrt{6.742(6.742- 3)(6.742 - 5.099)(6.742 - 5.385)}[/tex]

A = 7.499 ≈ 7.5

Hence "The area of the triangle bounded by vertices P(1,1), Q(-2,1), and R(-1,-4) will be 7.5 unit square".

For more about triangles,

https://brainly.com/question/2773823

#SPJ6

how do you graph this
y-2x=0
y=4x+3

Answers

Answer:

Step-by-step explanation:

those are 2 lines, and to graph them find 2 points for each to draw a line trough them

line 1

y-2x=0 so y=2x

pick any value for x

(x=1, y=2*1=2), (x=3, y=2*3=6)

Draw a line trough points (1,2) and (3,6)

line 2

y=4x+3

(x=1, y=4*1+3=7), (x= -1, y= 4(-1)+3= -1)

Draw a line trough points (1,7) and (-1, -1)

2. Write the following rational numbers in order from smallest to largest: 3 1.25, V2, 18, 1.875, 13

Answers

v2 1.25 1.875 3 13 18

6x + 3y = 33
4x + y = 15

Answers

Here is the resolution

Can a negative number have a positive factor?

Answers

Answer:

The laws of multiplication state that when a negative number is multiplied by a positive number, the product will be negative. So, if considering a factor pair of a negative product, one of these factors must be negative and the other factor must be positive.

one has to be positive one has to be negative

What is the ratio of the side lengths of a shape to the area of that shape?

Answers

Answer:

The area of a shape is the amount of two-dimensional space that it covers. The ratio of the perimeter to the area of a shape is simply the perimeter divided by the area. This is easily calculated.

Factor the following by completing the square w^4-22w^2+9

Answers

Answer:

(w² - 4w - 3) (w² + 4w - 3)

Step-by-step explanation:

w² + 4w³ - 3w² -4w³ - 16w² + 12w-3w² - 12w + 9

Last year, David opened an investment account with $6600. At the end of the year, the amount in the account had
Increased by 27.5%. How much is this increase in dollars? How much money was in his account at the end of last year?

Answers

Answer:1815 euros left

Step-by-step explanation:

Pls someone help me!

Answers

Answer:

When present,outliers will have an effect of the range since one of the outliers will either be highest or lowest number in a given data set and the range is found by finding the difference of the highest and lowest numbers.

The auto repair shop took 2.5 hours to repair Victoria's car. The cost of the
parts needed was $93, and the total bill was $248. What is the repair shop's charge per
hour for labor?

Answers

Answer:D

Step-by-step explanation:

An auto repair shop charged $75/h  for labor plus an additional $89 for parts.

If the shop worked for 2 h.

C = Represented the total repair cost .

Than the equation becomes

C = 75 × 2 + 89

C = 75 (2) + 89

Therefore the total cost for the repair  is represented by C = 75 (2) + 89 .

Option (D) is correct .

Answer:

Step-by-step explanation:

the charge is 77 dollars per hour of labor

Consider the equation an^2 = 182 where a is any number between 2 and 5 and n is a positive interger. What are the possible values of n?

Answers

Step-by-step explanation:

an² = 182

When a = 2, n² = 182/2 = 91, n = 9.539...

When a = 5, n² = 182/5 = 36.4, n = 6.033...

Since 2 <= a <= 5, we have 6.033 <= n <= 9.539.

Therefore our possible values of n are 7, 8 and 9.

The possible values of n are 7, 8, 9

The given equation is:

an²  =  182

Make n the subject of the formula:

[tex]n^2=\frac{182}{a} \\n = \sqrt{\frac{182}{a}}[/tex]

Let us consider the minimum and maximum values of a:

when a = 2

[tex]n = \sqrt{\frac{182}{2}}\\n = \sqrt{91} \\n = 9.54[/tex]

When a = 5

[tex]n = \sqrt{\frac{182}{5}}\\n = \sqrt{36.4} \\n = 6.03[/tex]

We can conclude that 6.03 < n < 9.54

Since n is an integer, the possible values of n are 7, 8, 9

Learn more here: https://brainly.com/question/15816805

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Answers

Answer:

-5/2 is located left of -1

Step-by-step explanation:

Here, we want to select the correct option

We are comparing two numbers and the one on the left is less than the one on the right

Now, on the number line, we should notice one thing

The thing is that numbers that are less than a certain number will be positioned at the left hand side of the number

So what we have here is that the smaller number -5/2 is placed at the left hand side of -1 since it is the smaller number

Answer:

C.

Step-by-step explanation:

have a very awesome day!!!!

Use the unit circle to find the point (x,y) that corresponds to the real number t

Answers

Step-by-step explanation:

I hope its help you

PLEASEEE HELPP

solve for x

x/4 ≥ -8


x ≥ -2

x ≥ -32

x ≤ -32

x ≤ -2

Answers

Answer:

Step-by-step explanation:

X/4 ≥ -8

4 x X/4 ≥ -8 x 4

X ≥ -32

Please help and give details!

Answers

Answer:

D

Step-by-step explanation:

What is the first step to Solving Word Problems?

a. Check that your answer makes sense.

b. Identify what you're trying to find.

c. Solve the problem.

d. Read the problem carefully.

e. Make a plan?

Answers

D read problem carefully

Answer:

D

Step-by-step explanation:

You can't check to see if your answer makes sense if there is no answer. You can't identify what your trying to find if you don't know the question. If you just solve the problem then you will probably get a bad grade. If you make a plan you need to know what your doing first so reading the problem carefully is the right answer.

PLEEASEEEE HELP ASAP WILL GIVE BRAINLIST TO WHO EVER IS FIRST

Jake has a balance of -$142 in his bank account. After he deposited $550 into the account, what was Jake's new balance
A.$0
B.$358
C.$642
D.$368

Answers

The answer is C hope that helps

GIVING BRAINLIEST!
Please define the following in your own words:

law of conservation of matter

Answers

Answer:b

Step-by-step explanation:

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