Use the zero product property to find the solutions to the equation x2 – 15x – 100 = 0.

Answers

Answer 1

Answer:

x= 20      x =-5

Step-by-step explanation:

x^2 – 15x – 100 = 0.

What two numbers multiply to -100 and add to -15

-20 * 5 = -100

-20 +5 = -15

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

Using the zero product property

x-20 =0     x+5 = 0

x= 20      x =-5

Answer 2

x = 20 and x = -5

Step-by-step explanation:

x² – 15x – 100 = 0

First, find factors that multiply to get -100 and add to -15.

These factors are -20 and 5.

So we have (x - 20)(x + 5) = 0.

Now use the zero product property to get x - 20 = 0 or x + 5 = 0.

Solving from here, we get x = 20 or x = -5.


Related Questions

R = {(-3, -2), (-3, 0), (-1, 2), (1, 2)} which is a domain

Answers

Answer:

Domain { -3, -1 ,1}

Step-by-step explanation:

The domain is the input values

We write them in order from smallest to largest with out repeating any numbers

Domain { -3, -1 ,1}

SOLVE THE QUADRATIC EQUATION TO 3 SIGNIFICANT FIGURES

Answers

Answer:

x= 1.09 and x= -0.461

Step-by-step explanation:

Hope it helps :) :)

Good luck!!

I need help for this problem!

-9(x + 6) = 18 ​

Answers

Factor -9(x+6)

-9x - 54 = 18
+54 +54

-9x = 72
/-9x /-9x

The answer would be x = -8

Answer:

x = -8

Step-by-step explanation:

1. Divide both sides of the equation by -9 to get (x+6) = -2

2. Now that are left with x+6 you can subtract (inverse operation) the 6 from both sides of the equation to get x = -8

Hope this helps

3x - 17 = 46 . solve for x

Answers

Answer:

[tex]x = 21[/tex]

Step-by-step explanation:

We can simplify this equation down until we have x isolated.

[tex]3x - 17 = 46[/tex]

If we add 17 to both sides:

[tex]3x = 63[/tex]

Now we can divide both sides by 3:

[tex]x = 21[/tex]

So [tex]x = 21[/tex].

Hope this helped!

Answer:
x= 21

Explaination:
3x - 17 = 46
3x = 46 + 17
3x = 63
3x/3 = 63/3
x = 21

A spinner has four equal-sized sections that are red, yellow, blue, and green. Write the sample space if the spinner is spun two times. Use abbreviations if you wish.

Answers

Answer:

{RR,RY,RB,RG,YR,YY,YB,YG,BR,BY,BB,BG,GR,GY,GB,GG}

Step-by-step explanation:

A spinner has four equal-sized sections that are red(R), yellow(Y), blue(B), and green(G).

If the spinner is spun two times, the sample space is given as follows.

{RR,RY,RB,RG,YR,YY,YB,YG,BR,BY,BB,BG,GR,GY,GB,GG}

Tickets for a concert were $5 for each child and $8 for each adult. At one of the concerts, each adult brought 4 children with them, and 10 children attended without an adult

Answers

What do you want answered ? I don’t see a question .

Two cars leave the park at the same time one travels north at a speed of 50 km an hour for two hours the second car travels west at a speed of 80 km an hour for two hours after the two hours how far apart are the two cars

Answers

Answer:

50 km/hr * 2hr = 100km

80 km/hr * 2hr = 160km

using pythagorean theorem: x = sqrt((a^2)+(b^2))

x = sqrt ((100^2) + (160^2)

x = 188.67 km

Step-by-step explanation:

Im stuck!! Help needed please, ill mark the right anwser as brainliest

Answers

Answer:

C and D

Step-by-step explanation:

A box plot display consist of a five-number summary. The five-number summary includes the following five values that is depicted in the box plot display:

1. Min value: the least value or smallest value indicated at the end of the whiskers to our left.

2. Max value: the largest value in the data set indicated at the end of the whisker to our right.

3. The median: this is a measure of center indicated by the vertical line that divides the rectangular box into 2.

4. The Upper quartile (Q3): this is indicated by at the end of the rectangular box at our far right.

5. The lower quartile (Q1): this is indicated at the beginning of the rectangular box from our left.

The interquartile range is the difference between the Q3 and the Q1, which can be used as a measure of spread of a data set.

Therefore, the most appropriate measures of center and spread for the data set above, are the median and the interquartile range respectively.

The correct choices are option C and D.

A bucket holds, at most, 30 golf balls. How many buckets are needed to hold 96 golf balls?

Answers

Answer: 4

Step-by-step explanation:

Answer:

4 buckets

Step-by-step explanation:

number of buckets needed = 96 / 30

= 3.2

Since 3.2 is not a whole number (buckets cannot be split into small portions), and each bucket can only hold 30 golf balls, 4 buckets are needed to hold all golf balls.

Or else, if there is only 3 buckets, only 30x3 = 90 balls can be held, meaning there are 6 left.

) 5 is subtracted from one-fourth part of the product of 12 and 3 and multiplied
by 2.
e) 7 is subtracted from the quotient of 48 divided by the sum of 5 and difference​

Answers

Step-by-step explanation:

the first answer is 72 as it is it

Answer:

The answer is 8.

Step-by-step explanation:

The product of 12 and 3 is 36. One-fourth of 36 is 9. 5 subtracted from 9 is 4.

it's due todayyyyyyy (;ŏ﹏ŏ)​

Answers

The correct answer are

Sue interest : 169.6061952

Bill interest: 189.9131472


B. Bill will get more interest then sue


Explain


Sue principal balance p= 2300

Interest for 3 years so t= 3

Interest is compounded yearly n= 1

R= 2.4%

A= 2300(1+2.4/100)^3 = 2300(1+0.024)^3 = 2300 x (1.024)^3 = 2469.6061952

Interest for 3 year is A-p= 2469.6061952 -2300

169.6061952





Bill principle p= 1800

Interest for 3 years t= 3

Interest compounded so n= 1

R= 3.4%


A= 1800(1+3.4/100)^3 = 1800 (1+0.034)^3 = 1800 (1.034)^3 = 1989.9131472

Interest in 3 yrs = 1989.9131472 - 1800 =

189.9131472



For B is below

Hopefully this help you :D

1.) Which movie had the Lower Q3 as shown in the box plot?

Movie A

Movie B

Both about the same


Answers

Answer: Movie A

Q3, or third quartile, is visually located at the right edge of the box. Movie A shows to have a smaller Q3 value as it is to the left of Q3 for movie B.

On a coordinate plane, kite K L M N is shown. Point K is at (5, 3), point L is at (3, 2), point M is at (2, 3), and point N is at (3, 4). What is the perimeter of kite KLMN? StartRoot 2 EndRoot + StartRoot 5 EndRoot units StartRoot 14 EndRoot units 2 StartRoot 2 EndRoot + 2 StartRoot 5 EndRoot units 4 StartRoot 5 EndRoot units HELP PLEASE

Answers

Answer:

[tex]2\sqrt{2} +2\sqrt{5}[/tex]

Step-by-step explanation:

i just got this one right

the kite has two pairs of congruent sides. using the distance formula, the two shorter sides=[tex]\sqrt{2}[/tex] (since there are two of those length sides, you multiply it by two). Again with the distance formula, the two longer sides=[tex]\sqrt{5}[/tex] (also multiply this by two).this gives the answer c or [tex]2\sqrt{2}+2\sqrt{5}[/tex]

Answer:

The answer is c [tex]\sqrt[2]{2}[/tex] + [tex]\sqrt[2]{5}[/tex] units. just took the test

Step-by-step explanation:

There are six poles on a side of a 1 km 200 m long straight road such that there is a pole at the starting and end points of the road. If the poles are equally spaced, then what is the distance between each consecutive pole?

Answers

Answer:

Distance is 200m between each pole

Step-by-step explanation:

First, convert the length of the road into meters

        1km= 1000m

        1000m +200m= 1200m

There are 6 poles on the side and they're equally spaced

Divide the length of the road by the number of poles to get the distance between the poles

        Distance between poles= Length of road/ Number of poles

        Distance between poles= 1200m/ 6 poles

       Distance between poles= 200m

       

WILL GIVE BRAINLEST ANSWER IF ANSWERED IN 24 HOURS Determine whether a triangle can be formed with the given side lengths. If so, use Heron's formula to find the area of the triangle. a = 240 b = 132 c = 330

Answers

Yes a triangle is formed with given measurements
By using Heron’s formula
S=a+b+c/2
S=240+132+330/2=351
Area = root of s(s-a)(s-b)(s-c)
By substituting the values
We get that 13385.874....

Use the table to find the products of the polynomial

pls help i’m having so much trouble with this and i don’t understand

(x^2 + x - 2)(4x^2 - 8x)

Answers

Answer:

Step-by-step explanation:

Hello,

The table is as below

[tex]\begin{array}{c|c|c|c} &2&1&-2\\4&\boxed{4}&\boxed{4}&\boxed{-8}\\-8&\boxed{-8}&\boxed{-8}&\boxed{16}\\\ 0&\boxed{0}&\boxed{0}&\boxed{0} \end{array}[/tex]

It gives

[tex]4x^4+(4-8)x^3-(8+8)x^2+16x=4x^4-4x^3-16x^2+16x[/tex]

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

is 0.99 an repeating number

Answers

Answer:

no its not

Step-by-step explanation:

a repeating decimal is one that repeats a number but this is a terminating decimal since it stops.

Write the function in standard form.
Y=(3x-2)(3x+6)

Answers

Answer:

y = 9x^2 + 12x - 12.

Step-by-step explanation:

y = (3x - 2)(3x + 6)

y = 9x^2 - 6x + 18x - 12

y = 9x^2 + 12x - 12.

Hope this helps!

Rewrite the function in y.
2x – 4y = 8

Answers

Answer:

-4y=8-2x

Step-by-step explanation:

a guess

Answer:

y = 1/2 x -2

Step-by-step explanation:

2x – 4y = 8

Solve for y

Subtract 2x from each side

2x – 4y -2x= -2x+8

-4y = -2x+8

Divide each side by -4

-4y/-4 = -2x/-4  + 8/-4

y = 1/2 x -2

somebody plz answer.

Answers

Answer:

IT'S D

Step-by-step explanation:

LOOK AT THE PATTERN AND YOU WILL UNDERSTAND.

Answer:

ii honestly think d

Step-by-step explanation:

se tiene que embaldosar el patio interior de un edificio con baldosas cuadradas de 30 cm de lado. El patio es rectangular y sus medidas son 10 m por 12 m. ¿cuantas baldosas se necesitaran?

Answers

Answer:

40,000 baldosas

Step-by-step explanation:

Lo primero que debemos hacer aquí es calcular el área del patio rectangular.

El mejor enfoque para esto es convertir primero sus medidas a centímetros

Matemáticamente, 100 cm = 1 m, entonces 10 m se convierten en 1000 cm y 12 m se convierten en 1200 m.

El área de un rectángulo es L * B y, por lo tanto, tenemos 1200 * 1000 = 1,200,000 cm ^ 2

Ahora, para saber la cantidad de azulejos que tendrá el patio, necesitaremos dividir el área del patio por el área de los azulejos

Matemáticamente, eso sería 1,200,000 / 30 = 40,000 fichas

look at the picture find the value of z

Answers

Answer:

Z=7.9

Step-by-step explanation:

20.4 + 20.4 = 40.8  

56.6 - 40.8 = 15.8

15.8/2 = 7.9

Answer:

z=7.9 cm

Step-by-step explanation:

So, what we have to do is gather all the information we already have. The length of the rectangle is 20.4 cm, and the perimeter is 56.6. To find the perimeter, you always add all the sides up. So 20.4+20.4 is 40.8. since 4+4 is 8, and 20+20 is 40. Then, you subtract that from the perimeter to get what is 2z(both sides). 56.6-40.8 is 15.8. So we know 2z is 15.8. To find z, we divide 15.8 by 2 which is 7.9. You can do this with a calculator or write it down.

z=7.9 cm

A bin has 5 white balls and k black balls in it, where k is an unknown positive integer. A ball is drawn at random from the bin. If a white ball is drawn, the player wins 1 dollar, but if a black ball is drawn, the player loses 1 dollar. If the expected loss for playing the game is 50 cents, then what is k?

Answers

Answer:

Step-by-step explanation: The expected loss is 50 cents, we know that it is more likely to lose than win. It is therefore difficult to get-50, so the overall difference between the two possibilities is 2, 50/200=1/4, and the probability to win is 1/4, and the probability to lose is 3/4. Since (1/4)*3=3/4, the number of black balls is 3 times the number of white balls, so k=15.

Please help me someone

Answers

Answer: Surface area is 169π

Step-by-step explanation:

[tex]A=\pi \cdot \:d^2[/tex]

[tex]A=\pi d^2[/tex]

[tex]A=\pi 13^2[/tex]

[tex]A=169\pi[/tex]

If f(x) = -8x + 8 and g(x) = (x–9,
what is (fºg)(18)?
Enter the correct answer.
DOHO
DONE
Clear all
OOO
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HURRY !

Answers

Answer:

Step-by-step explanation:

(f ° g)(18) is another way of writing f(g(18)) which is telling you to evaluate function g at an x value of 18, then take that answer and plug it in for x in the function. Like this:

g(18) = 18 - 9 so

g(18) = 9. Now take that 9 and plug it into the f function in place of x:

f(9) = -8(9) + 8 and

f(9) = -72 + 8 so

f(9) = -64

A container has 250 liters of water in it. Some water evaporated and then the container had only 175 liters in it. What percentage of water evaporated?

Answers

Answer:

Hey there!

A total of 250-175, or 75 liters of water evaporated.

75/250=0.3, or 30%

30% of water evaporated.

Hope this helps :)

Hey there! I'm happy to help!

First, let's find out how much water evaporated. We have 175 left of the 250 after evaporation, so we need to subtract 175 from 250 to see how much water evaporated.

250-175=75

75 liters evaporated. Now, we want to find this as a percent out of 250. 75 is what percent of 250? Well, when talking about percents, the word "is" means "equals". So, we can turn this into an equation! We will use x to represent our percent as a decimal.

75= x·250

We simply divide both sides by 250 to isolate the x, giving us x=0.3

0.3 is 30% as a percent, so this means that 30% of the water evaporated.

I hope that this helps! Have a wonderful day!

What is the slope of the line shown below? (-2,3) (-4,-9)

Answers

Answer:

6

Step-by-step explanation:

Let the points be A and B

A ( - 2 , 3 ) -------> ( x1 , x2 )

B ( -4 , -9 ) -------> ( x2 , y2 )

Now, finding the slope:

[tex]slope \: (m) = \frac{y2 - y1}{x2 - x1} [/tex]

Plug the values

[tex] = \frac{ - 9 - 3}{ - 4 - ( - 2)} [/tex]

Calculate

[tex] = \frac{ - 12}{ - 4 - ( - 2)} [/tex]

When there is a (-) in front of an expression in parentheses , change the sign of each term in expression

[tex] = \frac{ - 12}{ - 4 + 2} [/tex]

Calculate

[tex] = \frac{ - 12}{ - 2} [/tex]

Reduce the fraction with -2

[tex] = 6[/tex]

Hope this helps..

Best regards!!

If sinθ= 4/5 in quadrant II, what is cosθ?

Answers

Answer:

cos theta = -3/5

Step-by-step explanation:

Answer:  [tex]cos\theta=-\dfrac{3}{5}[/tex]

Step-by-step explanation:

[tex]sin\theta = \dfrac{y}{r}=\dfrac{4}{5}[/tex]

Step 1:  Use Pythagorean Theorem: x² + y² = r²  to find the x-value

x² + 4² = 5²

x² + 16 = 25

      x² = 9

       x = 3

Step 2: Use the Quadrant to determine the sign of the x-value

                 Quadrant II                          Quadrant I

                     (--, +)                                     (+, +)

                 Quadrant III                          Quadrant IV

                     (--, --)                                     (+, --)

x is negative in Quadrant II

[tex]cos\theta=\dfrac{x}{r}=\large\boxed{-\dfrac{3}{5}}[/tex]

Help to answer the questions.. ​

Answers

Answer:

See Below

Step-by-step explanation:

The relation is :

=> {(-5,0)(2,8)(2,15)(4,16)}

Domain => x inputs of the relation

Domain = { -5 , 2, 4}

Range => y inputs of the relation

Range = { 0 , 8 , 15 , 16}

find the hypo when the opposite is 36 and the adjacent is 27​

Answers

Answer:

45

Step-by-step explanation:

Given the legs of the right triangle.

Then using Pythagoras' identity

The square oh the hypotenuse h is equal to the sum of the squares on the other 2 sides, that is

h² = 36² + 27² = 1296 + 729 = 2025 ( take the square root of both sides )

h = [tex]\sqrt{2025}[/tex] = 45

Answer:

45

Step-by-step explanation:

When you are given the opposite and adjacent sides of a triangle, the easiest way to find the hypotenuse is through the Pythagorean theorem!

The formula is a^2 + b^2= c^2

Plugging in the values, your formula would now look like 36^2 + 27^2= c^2

Once you do square your values and add them up, the result would end up being 2025, but since that is squared, to find the actual value of c you have to take the square root of this number, this will result in 45.

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Aquifers transport?rain runoffreservoir waterocean watergroundwater which of the following processes is a way that only humans increase the amount of carbon dioxide entering the atmosphereA) burning of fossile fuelsB) photosynthesis by producersC) decomposition by decomposersD) cellular respiration by consumers why is it easier to reconstruct the history of the modern period than earlier times Following is a partial process cost summary for Mitchell Manufacturing's Canning Department. Equivalent Units of Production Direct Materials Conversion Units Completed and transferred out 52,000 52,000 Units in Ending Work in Process: Direct Materials (18,000 * 100%) 18,000 Conversion (18,000 * 80%) 14,400 Equivalent Units of Production 70,000 66,400 Cost per Equivalent Unit Costs of beginning work in process $ 43,600 $ 63,900 Costs incurred this period 145,500 195,700 Total costs $ 189,100 $ 259,600 Cost per equivalent unit $ 2.70 per EUP $ 3.91 per EUP If the units completed were transferred to the Labeling Department, what is the appropriate journal entry to transfer the conversion costs 8. Let X be the number of cars per minute passing a certain point of some road between 8am and 10am on a Sunday. Assume that X has a Poisson distribution with mean 5. Find the probability of observing 3 or fewer cars during any given minute. One number is 2 more than another. The difference between their squares is 52. What are the numbers? Identify the type I error and the type II error that corresponds to the given hypothesis. The proportion of people who write with their left hand is equal to 0.22.Which of the following is a type I error?A. Reject the claim that the proportion of people who write with their left hand is 0.29 when the proportion is actually different from 0.29B. Fail to reject the claim that the proportion of people who write with their left hand is 0.29 when the proportion is actually different from 0.29C. Reject the claim that the proportion of people who write with their left hand is 0.29 when the proportion is actually 0.29D. Fail to reject the claim that the proportion of people who write with their left hand is 0.29 when the proportion is actually 0.29 A New York taxi service charges a $3.25 boarding rate in addition to its meter which is $2 for every mile. How much does it cost to ride in this cab for 1 mile? How much does it cost to ride in this cab for 20 miles? Please answer it now in two minutes what is the most important function of a leader within an organization A spring is attached to the ceiling and pulled 11 cm down from equilibrium and released. The amplitude decreases by 19% each second. The spring oscillates 10 times each second. Find an equation for the distance, D the end of the spring is below equilibrium in terms of seconds, t. Matt has $3 left in his pocket. He spent $6on lunch, $7 on a poster, and $10 on aT-shirt. How much money did he have atthe beginning of the day? A forestry study found that the diameter of the trees in a forest is normally distributed with mean 34 cm with a standard deviation of 8 cm. A group of 4 trees will be used as timber if the average of the 4 trees diameter is not too thick or thin. Specifically it is desired for the mean diameter to be between 30 and 40 cm in diameter. Find the probability that a randomly chosen group of 4 trees can be used as timber The amount of time a project manager estimates it will take to complete the activity under ideal conditions is known as: When you create a .wim file instead of a .vhdx file, how is the .wim file used to deploy the Nano Server Loreal-American Corporation purchased several marketable securities during 2021. At December 31, 2021, the company had the investments in bonds listed below. None was held at the last reporting date, December 31, 2020, and all are considered securities available-for-sale. Cost Fair Value Unrealized Holding Gain (Loss) Short term: Blair, Inc. $ 512,000 $ 389,000 $ (123,000 ) ANC Corporation 466,000 512,000 46,000 Totals $ 978,000 $ 901,000 $ (77,000 ) Long term: Drake Corporation $ 512,000 $ 576,000 $ 64,000 Aaron Industries 704,000 676,000 (28,000 ) Totals $ 1,216,000 $ 1,252,000 $ 36,000 Required: 1. Prepare appropriate adjusting entries at December 31, 2021. 2. What amount would be reported in the income statement at December 31, 2021, as a result of the adjusting entry During a camping trip, a group went one -third of the total distance by boat, 10km by foot and One sixth of it by riding horses. Find the total distance of the trip. what seems to be saddam husseins attitude about fighting in another war with the us What is the translation from quadrilateral EFGH toquadrilateral E'FGH Which equation is perpendicular to y= 3/4x + 4 and passes through the point (0,2)A. Y= 3/4x + 2B. Y= -3/4x + 2C. Y= -4/3x + 2D. Y= 4/3x + 2