Use the zero product property to find the solutions below

 Use The Zero Product Property To Find The Solutions Below

Answers

Answer 1

Answer:

Step-by-step explanation:

1. (x - 3)(x + 7) = 0

  By zero product property,

  (x - 3) = 0 ⇒ x = 3

  (x + 7) = 0 ⇒ x = -7

2. (2x + 6)(x - 7) = 0

   2(x + 3)(x - 7) = 0

   By zero product property,

   (x + 3) = 0 ⇒ x = -3

   (x - 7) = 0 ⇒ x = 7

3). (4x - 2)(x + 4) = 0

   2(2x - 1)(x + 4) = 0

   (2x - 1) = 0 ⇒ x = [tex]\frac{1}{2}[/tex]

   (x + 4) = 0 ⇒ x = -4

4. (5x - 1)(3x + 9) = 0

   3(5x - 1)(x + 3) = 0

   By zero product property,

   (5x - 1) = 0 ⇒ x = [tex]\frac{1}{5}[/tex]

   (x + 3) = 0 ⇒ x = -3

5. (x - 8)(x + 2) = 0

   By zero product property,

   (x - 8) = 0 ⇒ x = 8

   (x + 2) = 0 ⇒ x = -2


Related Questions

Which of the following equations would have to be the second equation so that the system has no solutions?
A. y = -x
B. 9y = 6x
C. y = x - 4
D. 6x - 4y = 6

Answers

Answer:

I put 9y=6x

Step-by-step explanation:

I say this because I’ve put all points in on Desmos graph and this is the best answer choice to me dk if I’m right .

The vehicle's fuel efficiency is at least 35 miles per gallon.
Use f to represent the vehicle's fuel efficiency (in miles per gallon).

Answers

Answer:

f ≥ 35

Step-by-step explanation:

Took the test on Aleks, it was right! :)

what is x times x times y times y plz

Answers

Answer:

im sorry if im wrong but im sure its xy

Step-by-step explanation:

Answer: x^2y^2

Step-by-step explanation:

x*x=x^2

y*y=y^2

I need the answer for all but the last one.

Answers

Answer:

2. 7 + 4

3. 21 - 27

4. 8 - 28

Step-by-step explanation:

2. 1 (7+4) = 1×7 + 1×4 = 7 + 4

3. 3 (7-9) = 3×7 - 3×9 = 21 - 27

4. 4 (2-7) = 4×2 - 4×7 = 8 - 28

hope this helps :)

Answer:

1. the answer is 7+4

2. the answer is 21-9.

3. the answer is 8-7.

Hope this helps, have a great day/night, and stay safe!

Decrease £40 by 70%


please help!

Answers

Answer: £12

Step-by-step explanation: To decrease £40 by 70%, you’ll have to find what 70% of £40 is, which is 28. Lastly, subtract 40 by 28. You should end up with a final result of £12.

Kevin ate 3 apples. This represents 20% of the bag of apples. How many apples were originally in the bag?

Answers

27 total apples in the bag
15 apples were in the bag. If 3 apples are 20%, you could multiply 3 by 5 and 20% by 5 to get 100%.

ab (3a-5b) equals to?

Answers

Answer:

3a^2b-5ab^2

Step-by-step explanation:

Answer:

3a²b-5ab²

Step-by-step explanation:

Distribution method:

ab (3a-5b) = 3a²b-5ab²

A regular decagon is rotated n degrees about its center, carrying the decagon onto itself. The value of n could be:
1. 10 degrees
2. 150 degrees
3. 225 degrees
4. 252 degrees

Answers

Answer:

252°

Step-by-step explanation:

Given

Shape: Decagon

Required

Determine the value of n

A Decagon has 10 sides and a complete rotation takes 360°

First, we need to calculate the angle of each rotation as follows.

Each Rotation = ⅒ * 360°

Each Rotation = 360°

Next, we determine the possible values of n.

The statement is represented as "possible values of n" because n can assume infinite number of values.

However, n must be a multiple of 36

From the list of given options.

10, 150 and 225 are not multiples of 36

Only 252 happens to be a multiple of 36 from the list of given options.

Hence, option D answers the question [base on the given options]

A decagon is a ten-sided polygon.

The value of n could be 252 degree.

Since, A Decagon has 10 sides

The angle made in one complete rotation is 360 degree.

Now find angle made in each rotation is,

                          [tex]=\frac{360}{10}=36degree[/tex]

Now, we have to find possible values of n.

Since, n must be a multiple of 36

Apply hit and trial from given option.

We observe that from given options, only 252 degree is multiple of 36.

Therefore, value of n could be 252 degree.

Hence, option 4  is correct.

Learn more:

https://brainly.com/question/9549251

What is the diameter of a circle with the equation (x – 4)2 + (y + 6)2 = 64?
a. 4
b. 8
c. 16
d. 64

Answers

Answer:

The diameter of a circle with the equation is 16.

Step-by-step explanation:

Given the equation

[tex]\left(x\:-\:4\right)^2\:+\:\left(y\:+\:6\right)^2=\:64[/tex]

We know that the circle equation with radius 'r', centered at (a, b)

[tex]\left(x-a\right)^2+\left(y-b\right)^2=r^2[/tex]

[tex]\mathrm{Rewrite}\:\left(x-4\right)^2+\left(y+6\right)^2=64\:\mathrm{in\:the\:form\:of\:the\:standard\:circle\:equation}[/tex]

[tex]\left(x-4\right)^2+\left(y-\left(-6\right)\right)^2=8^2[/tex]

Here,

radius = r = 8

center = (4, -6)

Hence, the radius of the circle is: r = 8

we know that

diameter = 2r

               = 2(8)

               = 16

Therefore, the diameter of a circle with the equation is 16.

Answer:

They are correct. The answer is c. 16

Step-by-step explanation:

In a chest there are some gold coins. Captain takes half the
coins. Sally takes a fourth of the coins. There are 3 coins left.
How many coins were in the chest at the start?

Answers

Answer:

7

Step-by-step explanation:

4+3=7

Answer:

There were 12 gold coins in the chest at the start.

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

x = Number of gold coins in a chest

1/2x = Number of gold coins taken by the captain

1/4x = Number of gold coins taken by Sally

3 = Number of gold coins left

2. How many coins were in the chest at the start?

Let's write the following equation to solve for x:

1/2x + 1/4x + 3 = x

2x + x + 12 = 4x (Lowest Common Denominator is 4)

4x - 2x - x = 12 (Like terms)

x = 12

There were 12 gold coins in the chest at the start.

Hope this helps :D

what is the domain of the function
y =squarerpot of x​

Answers

Answer: [0,+infiniti)

Step-by-step explanation:

Which expression is equivalent to 8c + 6 - 3c - 2 ?

A)5c + 4

B)5c + 8

C)11c + 4

D)11c + 8

Answers

Answer:

I believe the answer is 5c + 4.

Step-by-step explanation:

The first step in simplifying expressions like this is to combine the values with the same coefficient and rearrange them so that they are next to each other in the expression. When you do this, you also have to keep the operation that comes before it if possible. 8c + 6 -3c - 2 will be turned into 8c - 3c + 6 - 2. Now you can simplify the expression in different parts. 8c - 3c = 5c, and 6 - 2 = 4. Keep the addition operation in the middle and combine the numbers:

5c + 4.

(I need to make sure)
Which pair of numbers has the greatest GCF?
A = 140 and 210
B = 130 and 390
C = 240 and 320
D = 550 and 880

Answers

i think it’s C not completely sure tho

I just need help wit this quick question

Answers

9514 1404 393

Answer:

  yes

Step-by-step explanation:

A triangle is acute if its largest angle is acute.

A triangle is obtuse if its largest angle is obtuse.

A triangle cannot be both acute and obtuse, so, yes, the statements contradict each other.

Answer:

Step-by-step explanation:

Yes they do contradict

Acute means less than 90 while obtuse means more than 90.

Both can't exist for the same triangle at the same time.

The school bought a new computer for me for $960. If that is 120% of what
the store paid for it, how much did the store pay for it?

Answers

Answer:

The store paid $800 for it

Step-by-step explanation:

let x be the value the store paid for it

120/100 * x = 960

120x = 96000

x = 96000/120

x = $800

Can somebody answer this

Answers

The answer is 2/3 = b
I used a calculator I got b= -6

12x² + 8x = 0
What are the zeroes?

Answers

Answer:

The zeros are at 0 and -2/3

A builder made a scale drawing of a rectangular room. The drawing has a length of 12 ½ cenmeters and a width of 7 ¾ cenmeters. The actual room will have a length of 56 ¼ meters. What will be the area of the actual room?

Answers

Answer:

18 / 6 = 3

The scale is 1:3

3 * 4.5 = 13.5

13.5 * 18 = 243 square feet

The answer is 243 square feet.

Step-by-step explanation:

Hope this helped!

HELP PLEASE ILL GIVE U 50 POINTS​

Answers

Answer:

6x^2+2x

Step-by-step explanation:

Answer:

area of rectangle=2x×(3x+1)=6x²+2x

Only one more to go. Thank you victoria so much for helping me I really appreciate it like really you are a angel.☺️

Answers

Always happy to help!! Thank you so much- I hope you have an amazing rest of your night and an amazing rest of your break!

what is the measure of <x?​

Answers

Answer:

31 degrees

Step-by-step explanation:

...........

5x-3(x-2)=4

This is for Algebra 1

Answers

Answer:

5x-3(x-2)=4

5x-3x+6=4

2x+6=4

2x= 4-6

2x= -2

x = -1

Can you find the slope-intercept of the line? Thank you!

Answers

Answer:

y = x + 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, 0) and (x₂, y₂ ) = (0, 2) ← 2 points on the line

m = [tex]\frac{2-0}{0+2}[/tex] = [tex]\frac{2}{2}[/tex] = 1

The line crosses the y- axis at (0, 2) ⇒ c = 2

y = x + 2 ← equation of line

Solve for t in the equation

Answers

Answer:

t=1/5=0.2

Step-by-step explanation:

(5t+3)/4=1

5t+3=4

5t=1

t=1/5=0.2

Answer:

1/5

Step-by-step explanation:

5t+3/4=1

5t+3=1*4

5t+3=4

5t=4-3

5t=1

t=1/5

a pool of linen container 100 meters. three butete brought 15.75 meters, 22.50 meters and 12.25 meters respectively. how many meters of line was left after the sale

49 m


Answers

Answer:

49.5 meters of linen were left after the sale.

Step-by-step explanation:

Given that there are 100 meters of linen

And 15.75, 22.50 and 12.25 meters are sold.

This means that the sold linen has to be added  to find the total linen sold.

And then the quantity of sold linen will be subtracted from 100 to find the meters of linen left.

[tex]Total\ linen\ sold = 15.75+22.50+12.25 = 50.5\ meters[/tex]

Left linen will be:

[tex]=100-50.5 = 49.5[/tex]

Hence,

49.5 meters of linen were left after the sale.

how many times bigger is 2 times 10 to the 10th power than 150 million

Answers

Answer: 2 x 10^10 =20000000000

and 150,000,000 is 150 million so you subtract and you get

19,850,000,000

Step-by-step explanation:

1. The fair coin is tossed once. What is the
probability of obtaining obtaining i
a) A head
b) A tail
c)no head
d)No tail​

Answers

D.no tail f see gdgfhggarhgjxy
The probability of...
A head = 1/2
A tail = 1/2
No head (meaning tail) = 1/2
No tail (meaning head) = 1/2

Enter the first four terms.

Answers

Answer:

1/2, 2, 9/2, and 8.

Step-by-step explanation:

In this case, we have an explicit rule.

So, to find the nth term, we can simply substitute a value into our function and evaluate.

For the first term, n=1. Thus:

[tex]f(1)=\frac{(1)^2}{2}[/tex]

Evaluate:

[tex]f(1)=\frac{1}{2}[/tex]

Hence, our first term is 1/2.

For the second term, n=2. Thus:

[tex]f(2)=\frac{(2)^2}{2}[/tex]

Evaluate:

[tex]f(2)=\frac{4}{2}=2[/tex]

Hence, the second term is 2.

For the third term, n=3. Thus:

[tex]f(3)=\frac{3^2}{2}=\frac{9}{2}[/tex]

So, the third term is 9/2.

And for the fourth term, n=4. Thus:

[tex]f(4)=\frac{4^2}{2}=\frac{16}{2}=8[/tex]

Therefore, the fourth term is 8.

Hence, our first four terms are: 1/2, 2, 9/2, and 8.

Write an equation in slope-intercept form of the line that passes through the given points.
х
у
-2
2
0
1
2.
0
4
-1

Answers

Answer:

The slope-intercept form of a linear equation is written as y = mx + b, where m is the slope and b is the value of y at the y-intercept, which can be written as (0, b).

Step-by-step explanation:

Was i right?!?

Which triangles must be congruent?

Answers

Answer:

It stands for "side-side-side". If two triangle both have all of their sides equal (that is, if one triangle has side lengths a, b, c, then so does the other triangle), then they must be congruent.

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