Use the zero product property to find the solutions to the equation x^2-15x-100=0
Ox=-20 or x = 5
Ox=-20 or x =-5
Ox=-5 or x = 20
Ox= 5 or x=20

Answers

Answer 1

Answer:

C. x=-5 or x=20

Step-by-step explanation:

Factor [tex]x^{2}[/tex]-15x−100 using the AC method

(x-20)(x+5)=0

If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0

x−20=0

x+5=0

Set x−20 equal to 0and solve for x

x=20

Set x+5 equal to 0 and solve for x

x=−5

The final solution is all the values that make (x−20)(x+5)=0 true. The multiplicity of a root is the number of times the root appears.

x=20(Multiplicity of 1)x=−5 (Multiplicity of 1)

Answer 2

The solutions to the equation x² - 15x - 100 = 0 are:

x = 20 and x = -5.

What is a solution?

Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.

We also find the solution in a system of equations using the substitution or elimination method.

Example:

2x + 4 = 8

The solution is x = 2.

We have,

To use the zero product property to solve the equation:

x² - 15x - 100 = 0.

Factor the left-hand side of the equation:

(x - 20)(x + 5) = 0

Apply the zero product property, which states that if the product of two factors is zero, then at least one of the factors must be zero:

x - 20 = 0 or x + 5 = 0

Solve for x in each equation:

x - 20 = 0

x = 20

x + 5 = 0

x = -5

Therefore,

The solutions to the equation x² - 15x - 100 = 0 are:

x = 20 and x = -5.

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Related Questions

Write the equation in slope-intercept form of the line that passes through the points (5,4) and (1−6,)

Answers

Answer:

y = 5/2x - 17/2

Step-by-step explanation:

First, find the slope of the equation by using the slope formula:

m = (y2 - y1) / (x2 - x1)

m = (-6 - 4) / (1 - 5)

m = 10/4

m = 5/2

Next, find the y-int by plugging in one of the two points into the equation we have so far:

y = 5/2x + b

(5, 2)

4 = 5/2(5) + b

4 = 25/2 + b

4 - 25/2 = b

b = -17/2

Now you have your final equation:

y = 5/2x - 17/2

Answer:

[tex]y=\frac{5}{2}x-\frac{17}{2}[/tex]

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

Points: (5, 4), (1, -6)

Slope (Calculated): [tex]\frac{5}{2}[/tex]

[tex]y = \frac{5}{2}x+b[/tex]

[tex]-6 = \frac{5}{2}(1)+b[/tex]

[tex]b=-\frac{17}{2}[/tex]

[tex]y=\frac{5}{2}x-\frac{17}{2}[/tex]

Find the solution of the system of equations.
8x + 6y = 28
9x + 3y = 39

Answers

8x + 6y = 28
9x + 3y = 39

to first solve the system, we need to isolate one variable. we will solve for x first so we need to cancel out the y. to do this, we will multiply the second equation by -3

8x + 6y = 28
(9x + 3y = 39) -2

8x + 6y = 28
-18x -6y = -78

now combine

-10x = -50

divide by -10

x=5

now we plug x back into the equation to solve for y

8(5)+6y = 28

40 + 6y = 28

6y= -12

y= -2

How do I substract 7/10 minus 3/15

Answers

Answer: 0.5

Step-by-step explanation:

To reduce a fraction: divide the numerator and denominator by their greatest common factor, GCF.

Fraction: 7/10 already reduced to the lowest terms.

The numerator and denominator have no common prime factors.

Their prime factorization:

7 is a prime number;

10 = 2 × 5;

gcf (7; 2 × 5) = 1;

Answer:

First you have to find the common denominator

Next you take what you did to the bottom you gotta do to the top like if you 30 does into both them you multiple 3 times 2 cause you did that to 15 and multiply 7 times 3

Then you subtract

Step-by-step explanation:

24 € (17, 19, 21,..., 35)
Is it true or false

Answers

Answer:

true

Step-by-step explanation:

A sample is treated as large sample, when its size is...

Answers

Answer:

A sample is considered large when n≥30. is called the margin of error of the estimate.

Step-by-step explanation:

I hope that was the answer you are looking for. If it is possible could you please mark me brainliest?

A sample is treated as large sample when its size is n ≥ 30.

Here, A sample is treated as large sample.

What is large sample?

The sample size n is greater than 30 ( n ≥ 30 ) is known as large sample.

Now,

A sample is treated as large sample when its size is n ≥ 30.

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3. Write the equation and solve for: Five subtracted from the product of six point
and a number is the same as thirteen. (Use the letter "n" as your variable)

Answers

Answer:

*correct me if I'm wrong with the equation setup but I believe this is your answer.*

( 6 × n ) - 5 = 13

( 6 x n ) = 18

n = 3

First year students in rolled at a college were asked whether they play video games. The responses, classified by whether the students were enrolled in the school of sciences the school of arts are shown in the table.

Answers

Where’s the table lol

12+3/5x−8−7/10x=?
Does anybody know what the answer to this question is?
I am really in a hurry. If the answer is true, please tell me. Thank you very much!
(The person who gets it right is going to be the Smartest.)

Answers

Answer:

−1 /10 x+4

Step-by-step explanation:

Group like terms

=3/5x-7/10x+12-8

add

-10x+12-8

1/10x=x/10

-x/10+12-8

−1 /10 x+4

If you need more help just ask

Help please due soon

Answers

1. h=6
2. y=-1
3.t=2
4. d=2.1
5.k=0
6. -13 1/3

Answer:

1. H=6

2. Y= -1

3. T= 2

4. D= 2.1

5. K= 0

6. -13 1/3

Step-by-step explanation:

Use the extended form find the perimeter of the square shape of 10cm and 18cm

Answers

The perimeter of the square would be 56 cm

Jessica runs 4 miles every 32 minutes. At thisrates, how many miles does she run in 48 minutes

Answers

Proportion
4/32 = x/48
48/32 = 1.5
x/4 = 1.5, 4 * 1.5 = 6
Solution: 6 miles

Triangle ABE ~ Triangle CDE. Find the length of altitude for NE.

Answers

Hope that it will help you

inverse of functions​

Answers

the answer would be D.

There are 3 cups of blue paint and 2 cups of red paint. Whats the ratio?

Answers

Answer:

3:2

Step-by-step explanation:

can also be written as 3/2 as a fraction!

Answer:

Blue paint to red paint - 3:2

Red paint to blue paint 2:3

Step-by-step explanation:

For every 3 cups of blue paint there is 2 cups of red paint

For every 2 cups of red paint there is 3 cups of blue paint

Fraction Mode: 3/2 or 2/3

Mrs.jones waters the plants on her porch every 5 days. She waters the vegetable garden every 2 days. If she waters them both today, how many days will pass before she will water both of them on the same day again?

Answers

the answer is 10. if you take the lcm of 5 and 2 you should get it.


What is this expression in words ?

Answers

Answer :

five x plus ten

PLZ SOMEONE, ANYONE HELP ME WITH THIS, IT IS TIMED AND MY MATH TECHER IS STRICT!!!

Answers

Answer:

a:

10

b:

-10 and 10

c:

8

Step-by-step explanation:

i could be wrong on c tho

WILL GIVE BRAINLIEST

The difference of two numbers is 4. Their sum is 12. What are the numbers?

Answers

Answer:

^algebra^

#1). a - b=4

a=4 + b .....(equation 1)

#2) a + b=12

(4 + b) + b= 12

4 + b + b=12

4 + 2b=12

2b= 12 - 4

2b =8

b= 8:2

b=4

subtituted b in equation 1

a= 4 + b

a= 4 + 4

a=8

so, the number is 8 and 4

How is 0,2 an answer?

Answers

Answer:

it is an answer if you are using a coordinate plane

Step-by-step explanation:

maria walks 22 feet, then goes another 40 feet on a path that makes a 70 degree angle with the path she was on. how far is she, in feet, from her starting location?

Answers

Answer:

132 feet

Step-by-step explanation:

22+60+70

The distance of the Maria from her starting location is 109.9 feet.

What is trigonometry?

Right angle triangles are the focus of the mathematical field of trigonometry. Calculations involving specific functions of angles are the focus of trigonometry.

In trigonometry, the following six functions are frequently used: sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (cosec)

Let's call the distance Maria is from her starting location "x".

The 70 degree angle forms a right triangle with the distance Maria walked initially (22 feet) and the distance she is from her starting location (x). We can use the trigonometric function tangent to find x:

tan(70°) = x/40

Multiplying both sides by 40, we get:

x = 40 tan(70°)

Using a calculator, we find that tan(70°) is approximately 2.7475. Multiplying by 40, we get:

x = 109.9

So Maria is approximately 109.9 feet from her starting location.

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Is this a cheating app or helping other people

Answers

Answer:

Helping other people they delete all your points and answers if u "cheat" :/

PLS HELP ASAP


Simplify 8 − (14). (1 point)

Question 5 options:

1)

−22

2)

−6

3)

6

4)

22

Answers

2) -6

8 is positive and 14 negative. You can either draw a number line and help yourself with that or since the negative one is bigger you can do the subtraction 14 - 8 and then change the sign of the answer.

find the length of side x in simplest radical denominator

Answers

Answer:

324352

Step-by-step explanation:

Please help! This is hard

Answers

Answer:

2 sorry if it’s wrong hope it helped

Step-by-step explanation:

HELP QUICKLY PLEASE Which of these is used to find the estimated age range of a fossil?
Absolute dating
Half-life
Index fossils
Radioactive dating

Answers

Answer:

Step-by-step explanation:

Radioactive dating becouse they look how long the fossils were there

1 and 1/4 - 1/3=
please give the right answer

Answers

Answer:

11/12

Step-by-step explanation:

15/12-4/12= 11/12

Answer:

11/12

Step-by-step explanation:

5/4 -1/3 first make the equation easier to look at so take the 1 and add it as 4/4

15/12-4/12 then make the bottom the same with multipulcation and tops are multiples as well

11/12 subtract

Alison wants to construct the perpendicular bisector of MN⎯⎯⎯⎯⎯⎯.



What should Alison do for her first step?

Place the point of the compass on point M and draw an arc, using a width for the opening of the compass that is greater than 12MN.
Use the straightedge to draw a line that intersects MN⎯⎯⎯⎯⎯⎯ at a point between M and N.
Place the point of the compass on point M and draw an arc, using a width for the opening of the compass that is equal to 12MN​ .
Place the point of the compass on point M and draw an arc, using a width for the opening of the compass that is less than 12MN

Answers

Answer:

What should Alison do for her first step ? She should learn to intersect the bisector of the intersector of mn such that mn should be the intersection of mn to nm so that no 2 intersections should intersect each other's bisector of mn to intersect of mn.

Step-by-step explanation:

Answer:

I should add that Alison is a very smart girl if she wants to construct such a perpendiculiar bisector of MN--. I am realy gratefull for such a kind and wise little smart girl.

Step-by-step explanation:

Let u = ln x and v= In y. Write In (x^2y^5)
in terms of u and y.

Answers

Answer:

Step-by-step explanation:

u=㏑ x

x=e^u

v=㏑ y

y=e^v[tex]x^{2} y^5 =(e^u)^{2} (e^v)^5=e^{2u}e^{5v}=e^{2u+5v}[/tex]

Answer:

D. 2u + 5v

Step-by-step explanation:

answer on edge

6-2d=42


What is D please help me find what it is​

Answers

Answer: -18

Step-by-step explanation:

if 6-2d=42

just subtract 6 from both sides

-2d=42-6

-2d=36  now divide by 2

-d=18

multiply by -1

d=-18

Answer: d=-18

Step-by-step explanation:

6-2d=42

First subtract 6 from both sides

-2d=36

Now divide both sides by -2 to get d alone

d=-18

A package of 8 notebooks cost $5. How much will 24 notebooks cost?
О.

Ос
12
15
10

Answers

Answer: B: 15

Step-by-step explanation:

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