what are the zeroes of f(x)=(x-7)(x+8)

Answers

Answer 1

Answer:

The zeroes of f(x) = (x-7)(x+8) are 7 and -8.

Step-by-step explanation:

You have to figure out what makes each of the equal to zero.

Step 1 : Make the 2 equations both equal 0.

x-7 = 0

x+8 = 0

Step 2: Solve for x

x-7 = 0

x=7

x+8 = 0

x=-8

So 7 and -8 are both zeroes of this function.


Related Questions

what is the slope of the line plotted below?

Answers

Answer:

A, or 0.5

Step-by-step explanation:

1. Basics

Slope formula: Rise/run

([tex]y[/tex]₂[tex]-y[/tex]₁)/([tex]x[/tex]₂[tex]-x[/tex]₁)

2. Solving

Points: (-4,-4), and (2,-1)

Let's say that (-4,-4) is the first point, and (2,-1) is the second. It doesn't really matter which ones we choose.

[tex]\frac{-1-(-4)}{2-(-4)}[/tex][tex]=\frac{3}{6}=\frac{1}{2} = 0.5[/tex]

A

Hope this helped! Please mark brainliest :)

a, 0.5 because to find the slope you do rise over run. It rises up 3 units, and runs 6. 3 divided by 6 is 1/2 aka 0.5 !


If ABC is reflected across the y-axis, what are the coordinates of C?

A. (-8, -4)
B. (8,-4)
C. (-8,4)
D. (4,-8)

Answers

Answer:

c....................

I would go with c seems the most accurate one

-10 degrees Celsius is what Fahrenheit

Answers

Answer:

Step-by-step explanation:

i think if its -10 degrees i think the fahrenheit would be 50 degrees

Write the number 52 as a product of primes. SHOW ALL WORK

Answers

AnsweStep-by-step explanation:

lol

cuanto es 2 mas 2 mas 82 menos 72?​

Answers

Answer:

14

Step-by-step explanation:

2+2+82-72

86 - 72 = 14

the answer is 14 since 2+2+82-72 equals that

i need help with these questions. anyone down to help me ?please

Answers

9514 1404 393

Answer:

A: less than 2 hoursB: 2 to 5 hoursC: more than 5 hours

Step-by-step explanation:

The attached graph shows the various company costs for x number of hours. The graph nearest the x-axis represents the lowest cost.

We can see that cost is lowest using Company A for 2 hours or less, and Company C for 5 hours or more. For times between those, Company B has the lowest charges.

Of course, the equation for charges in each case is the sum of the service fee and the product of hourly charge and number of hours (x).

__

I find the graphing calculator to be the most efficient tool for solving these. The alternative is to compare the equations pairwise to see which gives lower rates. With a little practice, you learn that the "break even hours" will be the difference in service fees divided by the difference in hourly cost.

For example A will cost the same as B when the $20 service fee and the $10/hour cost difference are the same: for 2 hours. A and C will cost the same when the $45 service fee and the $15/hour cost difference are the same, after 3 hours. B and C will cost the same when the $25 difference in service fees and the $5/hour cost difference are the same, after 5 hours.

So B is cheaper above 2 hours, and C is cheaper than that above 5 hours. With no service fee, A is cheaper for small numbers of hours (<2).

The office needs 6 new devices worth $7200. The order consists of new computers (C) which cost $1425 each and printers (P) which cost $750 each. How many of the new devices are computers and how many are printers?​

Answers

C + P = 6
C = -P + 6

750P + 1425C = 7200
750P + 1425(-P + 6) = 7200
750P - 1425P + 8550 = 7200
-675P = -1350
P = 2

C + 2 = 6
C = 4

The area of a circle is 3.142cm square.find the radius and diameter of the circle

Answers

Answer:

50.24 or 50.272

Step-by-step explanation:

Square radius and then times by 3.14 or 3.142

4^2*3.14 = 50.24

4^2*3.142 = 50.272

Area of circle = pi x radius^2 = 3.142
This means the radius must be 1 cm. pi x 1^2 = 3.142 4sf
The diameter is therefore = 2 cm

For the problem I tried dividing but my answers were not correct. How can I solve this problem then? Can someone help me out here please?

Answers

Answer:

nsnndjdjejke

dl,dmfkfkkio4krm

Step-by-step explanation:

irikrkrkfmfmmfmfmmfmg

a/b=2/5 and b/c=3/8 find a/c​

Answers

Answer:

3/20

Step-by-step explanation:

By question it's given that ,

[tex]\implies \dfrac{a}{b}=\dfrac{2}{5}[/tex]

[tex]\implies \dfrac{b}{c}=\dfrac{3}{8}[/tex]

And we need to find out the value of a/c .For that Multiply both of them , we have ;

[tex]\implies \dfrac{a}{b} \times\dfrac{b}{c}=\dfrac{2}{5}\times \dfrac{3}{8} \\\\\implies \dfrac{a}{c}= \dfrac{3}{20}[/tex]

Hence the required answer is 3/20 .

The following data represents the serum HDL cholesterol level for a random sample of 40 male 20- to 29-year old patients. 70 56 48 48 53 52 66 48 36 49 28 35 58 62 45 60 38 72 45 51 56 51 46 39 56 32 44 60 51 44 63 50 46 69 53 70 33 54 55 52 a. Please make a stem-and-leaf display of the serum HDL cholesterol distribution. b. Please provide the 5-number summary and the IQR and make a box-and-whisker plot of the data. Using five classes: c. Please find the class width and the upper and lower class limits. Please make a frequency table showing frequencies and relative frequencies. Please draw a frequency histogram. Please upload your picture of all of your work.

Answers

this is too much good luck finding the answer

which of the following sets represents the tangeof the function shown? {(-3,4),(5,11),(9,-1),(10,13)}​

Answers

Answer:  Range = {4, 11, -1, 13}

Explanation:

The range is the set of y outputs of a relation. So we just list the y coordinates of the points shown.

We could sort the values to get {-1, 4, 11, 13}, but order doesn't matter in a set. So this step is optional.

Suppose 41% of the students in a university are baseball players. If a sample of 524 students is selected, what is the probability that the sample proportion of baseball players will be greater than 44%

Answers

Answer:

"0.0808" is the appropriate response.

Step-by-step explanation:

Given:

n = 524

[tex]\hat{P}[/tex] = 41%

or,

   = 0.41

[tex]1-\hat{P}=1-0.41[/tex]

         [tex]=0.59[/tex]

[tex]\mu \hat{P}=\hat{P}[/tex]

     [tex]=0.41[/tex]

Now,

⇒ [tex]6 \hat{P}=\sqrt{\frac{\hat {P}(1-\hat{P})}{n} }[/tex]

         [tex]=\sqrt{\frac{0.41\times 0.59}{524} }[/tex]

         [tex]=0.0215[/tex]

[tex]P(\hat {P}>44 \ percent)[/tex]

or,

[tex]P(\hat{P}>0.44)[/tex]

          [tex]=1-P(\hat{P}<0.44)[/tex]

          [tex]=1-P(\frac{\hat{P}-\mu \hat{P}}{6 \hat{P}} <\frac{0.44-0.41}{0.0215} )[/tex]

          [tex]=1-P(z<1.40)[/tex]

By using the standard normal table, we get

          [tex]=1-0.9192[/tex]

          [tex]=0.0808[/tex]    

need help with algebra problem

Answers

Answer:

[tex]option \: d \: 4.2 \times {10}^{ - 3} [/tex]

Step-by-step explanation:

Multiplication,

[tex] = 8.4 \times {10}^{ 8 } \times 5 \times {10}^{ - 11} \\ = 8.4 \times 5 \times {10}^{8 + ( - 11)} \\ = 4.2 \times {10}^{8 - 11} \\ = 4.2 \times {10}^{ - 3} [/tex]

8 9 13. Jenny bought kg of berries from the market and another 3 kg of berries from a fruit stall. How much berries did she buy altogether? 3 3​

Answers

Answer:

she bought 5 berries in total

Step-by-step explanation:

3+2=5

Jenny bought 1 5/12 kg of berries altogether.

Explanation:
Jenny bought 2/3 kg of berries and another 3/4 kg of berries.

Add the fractions:
2/3 + 3/4
= 8/12 + 9/12
= 17/12
= 1 5/12

Hope this helps!

Adam borrowed $5,600 from the bank. The bank charges 4.2% simple interest each year.

Which equation represents the amount of money in dollars, x, Adam will owe in one year, if no payments are made?

x=5,600+5,600(42)(12)
x=5,600+5,600(0.042)(1)
x=5,600+5,600(42)(1)
x=5,600+5,600(0.042)(12)

Answers

Answer:

[tex]x = 5600 + 5600 * 0.042 * 1[/tex]

Step-by-step explanation:

Given

[tex]P = 5600[/tex] -- Principal

[tex]R = 4.2\%[/tex] -- Rate

[tex]T = 1[/tex] -- Time

Required

The amount (x) to be paid

This is calculated as:

[tex]x = P + I[/tex]

Where:

[tex]I = PRT[/tex]

So, we have:

[tex]x = 5600 + 5600 * 4.2\% * 1[/tex]

Express percentage as decimal

[tex]x = 5600 + 5600 * 0.042 * 1[/tex]

(c) is correct

A city has a population of 350,000 peopleSuppose that each year the population grows by 7.75%What will the population be after 6 years Use the calculator provided and round your answer to the nearest whole number

Answers

Answer:

335%

Step-by-step explanation:

Standardized tests: In a particular year, the mean score on the ACT test was 22.5 and the standard deviation was 5.3. The mean score on the SAT mathematics test was 526 and the standard deviation was 101. The distributions of both scores were approximately bell-shaped. Round the answers to at least two decimal places. Part: 0 / 40 of 4 Parts Complete Part 1 of 4 Core for an ACT score of 16. The z-score for an ACT score of 16 is Jose's ACT score had a -score of . What was his ACT score?

Answers

Answer:

The z-score for an ACT score of 16 is -1.23.

His ACT score was of [tex]X = 22.5 + 5.3Z[/tex], considering that Z is his z-score.

Step-by-step explanation:

Z-score:

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

ACT:

Mean of 22.5, standard deviation of 5.3, so [tex]\mu = 22.5, \sigma = 5.3[/tex]

The z-score for an ACT score of 16 is

Z when x = 16. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{16 - 22.5}{5.3}[/tex]

[tex]Z = -1.23[/tex]

The z-score for an ACT score of 16 is -1.23.

Jose's ACT score had a Z-score of Z. What was his ACT score?

This is X, considering Z his z-score. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{X - 22.5}{5.3}[/tex]

[tex]X - 22.5 = 5.3Z[/tex]

[tex]X = 22.5 + 5.3Z[/tex]

His ACT score was of [tex]X = 22.5 + 5.3Z[/tex], considering that Z is his z-score.

A copy machine makes 44 copies per minute. How many copies does it make in 3 minutes and 45 seconds?

Answers

Answer:

in 3 minutes ;

44 × 3 = 132 copies

and 45 soconds;

[tex]45 \: seonds \: = \frac{3}{4} \: mınutes[/tex]

44 × ¾ = 33 copies

132 + 33 copies = 165 copies

HAVE A NİCE DAY

Step-by-step explanation:

GREETİNGS FROM TURKEY ツ

a plant grows by 1.67cm in its first week. each week it grows by 4% more than it did the week before. by how much will grow in nine weeks, including the first week?​

Answers

Answer: Approximately 2.29 cm

Step-by-step explanation:

Week 1 = 1.67 or [tex]1.67(1.04)^{0}[/tex]Week 2 = 1.67 + (1.67 · 4%) = 1.67 + 1.67 · 0.04 = 1.67(1 + 0.04) = 1.67(1.04)¹Week 3 = 1.67(1.04) + [1.67(1.04) · 0.04] = 1.67(1.04)(1.04) = 1.67(1.04)² Week 4 = 1.67(1.04)² + [1.67(1.04)² · 0.04] = 1.67(1.04)²(1.04) = 1.67(1.04)³

See a pattern?

Number of week = xPlant growth = [tex]1.67(1.04)^{x-1}[/tex]

Week 9 = [tex]1.67(1.04)^{9-1} =1.67(1.04)^{8} =1.67(1.3686)=2.2855[/tex]

20 marbles, 4 red, 6 blue,2 green, 8 yellow, one marble taken out , replaced, one taken out. Probability that he will pull red marble first, then green marble

Answers

Step-by-step explanation:

red=4/19

green2/1

i didnt get the qn prperly..was a marbke taken out second time? and not replaced?

Write – 90 5/8 as a decimal number.

Answers

Answer:

-90.625

Step-by-step explanation:

Answer:

[tex]-90~5/8\\[/tex]

[tex]Decimal=-90.625[/tex]

-------------------------------

~HOPE IT HELP....~

~HAVE A GREAT DAY!!~

Find the volume of the cement block in the figure shown.


Please help :)

Answers

9514 1404 393

Answer:

  1240 in³

Step-by-step explanation:

The overall dimensions of the block are ...

  10 in by 11 in by 17 in

The volume of that space is ...

  V = LWH = (10 in)(11 in)(17 in) = 1870 in³

The volume of each of the three identical holes is similarly found:

  V = (10 in)(3 in)(7 in) = 210 in³

Then the volume of the block is the overall volume less the volume of the three holes:

  = 1870 in³ - 3(210 in³) = 1240 in³

Using a weight of 12 for the most recent observation, 13 for the second most recent observation, and 16 for third most recent observation, compute a three-week weighted moving average for the time series. (Round your answers to two decimal places.)

Answers

Answer: Hi some data is missing attached below is the missing data

answer:

WMA = 174.53

Step-by-step explanation:

Determine the three-week weighted moving average with weights

( 1/2, 1/3, 1/6 )

Weighted moving average ( WMA ) = 174.53

MSE = ∑ (xi - WMA)^2 / n

        = 9.71

attached below is the detailed solution/table

the product of ten and the sum of two and a number is five times the number. find the number

Answers

Answer:

-4

Step-by-step explanation:

10(2+n)=5n

20+10n=5n

20=-5n

-4=n

The number is n = -4.

What is the product of ten and the sum of two and a number is five times the number?

Given: the product of ten and the sum of two and a number exists five times the number.

Let x be the unknown number:

The product of 5 and the sum of two and the number = 10(2+n)

five times the number = 5n

10(2+n) = 5n

Expand 10(2+n) = 20+10n

20+10n = 5n

Subtract 20 from both sides

20+10n-20 = 5n-20

Simplify

10n = 5n-20

Subtract 5n from both sides

10n-5n = 5n-20-5n

Simplify

5n = -20

Divide both sides by 5

[tex]$\frac{5 n}{5}=\frac{-20}{5}[/tex]

n = -4

Therefore, the correct answer is n = -4.

To learn more about algebra

https://brainly.com/question/17427598

#SPJ2

The population of a colony of 300 bacteria grows exponentially. After 2 hours, the population reaches 500. How much time will it take for the population to reach 9,600

Answers

Answer:

t = 13.56915448 hrs.

Step-by-step explanation:

500 = 300 [tex]e^{2k}[/tex]

5/3 = [tex]e^{2k}[/tex]

ln(5/3) = 2k ln(e)

k = ln(5/3)/2

k= 0.255412812

~~~~~~~~~~~~

9600 = 300 [tex]e^{0.255412812 t}[/tex]

32= [tex]e^{0.255412812 t}[/tex]

ln(32) = [tex]0.255412812 t[/tex] ln(e)

t = ln(32)/0.255412812

t = 13.56915448 hrs.

prime factorization of a 4- digit number with at least three distinct factors
Need two examples. SHOW ALL STEPS

Answers

Answer:

We know that every number can be written as a product of prime numbers.

The method to find the factorized form of a number depends on the number, we just try to find the different factors by dividing by them, for example for the number 1000 we have:

1000 is an even number, then we can divide it by 2 (2 is a prime number)

1000 = 2*500   (so we already found a prime factor)

500 is also an even number, so we can divide it by 2

1000 = 2*500 = 2*2*250  (we found another prime factor)

dividing by 2 again we get:

1000 = 2*2*250 = 2*2*2*125

1000 = (2*2*2)*125

now we just need to factorize 125

we know that 125 is a multiple of 5, such that:

125 = 5*25 = 5*5*5

(5 is a prime number, so it is completely factorized).

Then the factorization of 1000 is:

1000 = (2*2*2)*(5*5*5) = 2^3*5^3

Now with another example, 1422

1422 is an even number, so we again start using the factor 2:

1422 = 2 = 711

then:

1422 = 2*711

we already found a factor.

711 is a multiple of 3 (the sum of its digits is a multiple of 3), then:

711/3 = 237

We can write our number as:

1422 = 2*3*237

237 is also a multiple of 3

237/3 = 79

then:

1422 = 2*3*3*79

and 79 is a prime number, so we already have 1422 completely factorized.

The measure of each interior angle of reglar convex polygon is 150 How many sides it does have​

Answers

Step-by-step explanation:

Since an interior angle is 150 degrees, its adjacent exterior angle is 30 degrees.  Exterior angles of any polygon always add up to 360 degrees.  With the polygon being regular, we can just divide 360 by 30 to get 12 sides.

 

Find the volume of the composite solid. Round your answer to the nearest hundredth. A. 22.5mm^3 B. 22.19mm^3 C. 22.53mm^3 D. 22.54mm^3

Answers

I think that it would have to be A if I did it right

debbie will be attending a concert at grand ole opry in nashville, tennessee. if the average number of songs performed there in a 10 day period is 167. approximately how many songs are performed there in a years time

Answers

Given:

The average number of songs performed there in a 10 day period is 167.

To find:

The number of songs performed there in a year time.

Solution:

We have,

Number of songs performed in 10 days = 167

Number of songs performed in 1 day = [tex]\dfrac{167}{10}[/tex]

                                                              = [tex]1.67[/tex]

We know that 1 year is equal to 365 days. So,

Number of songs performed in 365 day = [tex]1.67\times 365[/tex]

Number of songs performed in 1 year     = [tex]609.55[/tex]

                                                                   [tex]\approx 610[/tex]

Therefore, the number of songs performed there in a year time is about 610.

Other Questions
Unlike other plants, trees are plants living for several years thus they are A. Annual B.shade C.perennial D. Fence 20.1 cm3 of metal hydroxide (MOH) containing 4.8 g/dm3 react Completely with 23.0 cm3 of the HCL and Containing 3.8g/dm3. Identify the metal of M of MOH According to Newton's law of universal gravitation, how do the masses of twoobjects relate to the gravitational force between them?A. As either mass increases, the gravitational force between themincreases.B. As either mass increases, the gravitational force between themdecreases.C. Gravitational force increases only when both masses increase.D. Gravitational force increases only when both masses decrease. Find the equation of the line thatis perpendicular to y = -4x + 3and contains the point (8, 1). How can the relationship between the European settlers and Native Americans best be described? help me if tou don't then no brainlist for you Which of the following are square roots of the number below? Check all thatapply.196A. -14B. 196^1/2C. 14D. 98E. 7F. -196^1/2 tipos de escalas sismicas An industrial load with an operating voltage of 480/0 V is connected to the power system. The load absorbs 120 kW with a lagging power factor of 0.77. Determine the size of the capacitor in vars that is necessary to raise the power factor to 0.9 lagging. Question 7 of 10 What is the slope of the line shown below? A. 2 B.-2 C.4 D.-4 Arturo is building a flower bed in the shape of a right triangle. The hypotenuse of the right triangle is 13 feet. One of the legs needs to be 7 feet longer than the other leg. Which equation can be used to find x, the length of the shorter leg?x(x + 7) = 13x(x + 7) = 169x2 + (x + 7)2 = 13x2 + (x + 7)2 = 169 Someone pls help me ill give out brainliest pls dont answer if you dont know 2log4-log8+log9/8 hurry im timedd Find the x of a triangle. 48. What is the volume of the cuboid below? 3cm 2cm 2cm Accounts receivable arising from sales to customers amounted to $85,000 and $75,000 at the beginning and end of the year, respectively. Income reported on the income statement for the year was $285,000. Exclusive of the effect of other adjustments, the cash flows from operating activities to be reported on the statement of cash flows is Group of answer choices $285,000. $295,000. $445,000. $275,000. Write an essay that explains how the foreshadowing in "The Monkey's Paw" by W. W.Jacobs creates tension, suspense, or both. Your essay will have an introductionparagraph, several body paragraphs, and a conclusion paragraph. The ideas in youressay must be linked by transitions.Make sure you show a good understanding of what foreshadowing, tension, andsuspense mean. Also make sure you can pick out examples of these elements in"The Monkey's Paw" so that you can support your essay's claim with evidence.Your essay should include the following elements: A claim about how the foreshadowing in W. W. Jacobs's story creates tension orsuspense An introduction paragraph, at least two body paragraphs, and a conclusionparagraph Evidence from the story that supports your claim Transitions that link words and ideas According to estimates by the office of the Treasury Inspector General of IRS, approximately 0.0746 of the tax returns filed are fraudulent or will contain errors that are purposely made to cheat the IRS. In a random sample of 318 independent returns from this year, what is the probability that at least 23 will be fraudulent or will contain errors that are purposely made to cheat the IRS HELP PLSSSSSSS algebra 1 WILL GIVE BRAINLIEST!!! I WILL BE VERY GRATEFUL IF YOU HELP ME ASAP