3. Given the function f(x)=x^2+4x-12:
a. Identify the zeros using factorization.

Answers

Answer 1

Answer:

x = -6, 2

Step-by-step explanation:

A zero is the x-value of a point on the x-axis that the graph intersects. Knowing this, we can set the function itself to 0 to find the zeros.

1) Set the function to 0.

[tex]x^2+4x-12 = 0[/tex]

2) Factor out the polynomial. Ask yourself, what are two numbers that have a product of -12 and add up to 4? (In this case, it's 6 and -2.)

[tex]x^2+4x-12 = 0\\(x+6)(x-2) = 0[/tex]

3) Look at the answer from the last step. What do the x's have to equal in order for equation to equal 0? They have to be -6 and 2. Therefore, those are the zeros.


Related Questions

Factor the quadratic x^2-8x +16

Answers

Answer:

(x-4)^2

square root everything in the equation

2. The standard dose of medicine for a dog is 10 grams for every 15
pounds of body weight. What is the standard dose for a dog that weighs
120 pounds?

Answers

Answer:

8 will be your answer

Step-by-step explanation:

Does the graph represent a function? Choose the correct descriptor.

Answers

Answer:

NO

Step-by-step explanation:

Thats an absolute value function, an absolute value function can not be negative

Answer:

Not a function.

Step-by-step explanation:

Do the vertical line test. If a line can go from top to bottom and touch the line twice, then it is not a function. A line like this would touch twice on this graph, so it is not a function.

If f(x) = 0, what is x?

Answers

Answer:

0

Step-by-step explanation:

Your welcome

Fatou has $150 in her bank account. She buys a bike for $200. What is Fatou’s account balance now? Show your work.

Answers

Answer:

Fatou owes the bank $50

Step-by-step explanation:

Usually when you owe a bank, you pay more then what you owe as intrest. I hope this helps! :)

Answer:

$-50

Step-by-step explanation:

Hope this helps! :)

In the scale used on a blueprint, 34
3
4
inch represents 4 feet. On the blueprint what is the length of a room with an actual length of 20 feet?

Answers

Answer:

67

Step-by-step explanation:

123£

helpppppppppppppppp

Answers

Answer:

f(5) = -11

Step-by-step explanation:

Given that,

f(x) = 4-3x ....(1)

We need to find the value of f(5).

Put x = 5 in equation (1)

f(5) = 4-3(5)

= 4-15

= -11

So, the value of f(5) is equal to -11.

2. Sammie has 3 feet of ribbon. She is making bows for her friends that each use of 1/3 of a foot
of ribbon. How many bows can she make from her three feet of ribbon?

Answers

Answer:

Sammy can make 9 bows.

Step-by-step explanation:

3 feet of Ribbon

1/3 for each bow

1/3 + 1/3 +1/3  = 3/3 or 1 so she can make 3 bows out of one foot of ribbon

so if you repeat this than  you should get 9 bows out of three feet of ribbion.

The front of Rosie's house is similar in shape to the front of Sparky's doghouse. The base of the doghouse is 6 feet and the height is 5 feet. If the height of Rosie's house is 27.5 feet, what is the length of its base? If necessary, round your answer to the nearest tenth.

1. 22.9 ft pick and awnser!! :)

2. 28.5 ft

3. 33 ft

4. 30 ft

Answers

Answer:

33feet

Step-by-step explanation:

If the base of the doghouse is 6 feet and the height is 5 feet, we can write;

6 feet base = 5 feet height

To get the length of the base if the height is 27.5feet

x feet base = 27.5 feet high

Divide both expressions

6/x = 5/27.5

5x = 6 * 27.5

5x = 165

x = 165/5

x = 33ft

Hence the length of its base will be 33feet

If eight balls can be purchased for $48, what is the unit rate? *
$48/8 balls
$1/6 balls
$6/1 ball
2 balls/$12

Answers

Answer:

-_____-....... *snort laugh*

THATS WHAT SHE SAID!!!! XD XD XD  

Step-by-step explanation:

the answer is $48/8 balls

Question 1 Hannan wants to estimate the number
of eets in a lase.
She sacenes and
was Soals
She returns the 50 eels to the lake.
The next day Hannah catches 400 ells.
of these 400 eels, 10 are ringed
Work out an estimate for the total number
of eels in the lake.

Answers

Answer:

2000 eels

Step-by-step explanation:

Let us represent the total estimate of the eels = x

She returns the 50 eels to the lake.

The next day Hannah catches 400 eels, of these 400 eels, 10 are ringed.

To solve the above question, we have the following:

50/x = 10/400

Cross Multiply

10x = 50 × 400

x = 50 × 400/10

x = 2000 eels

Therefore, the total estimate of the eels in the lake = 2000 eels

After 4 new students joined a dass, the class had 32 students.
Which equation can be used to find n, the number of students in the class before the 4 new students joined?

Answers

32-4=n

steps- there are 4 students that joined and the class had 32 students including the ones that joined. You would then subtract 32 and 4 and your n would be what it would equal. which n would equal 28

Please help immediately!!

Answers

Answer:

hjd

Step-by-step explanation:

The population of deer forest is currently 800 individuals. Scientists predict that this population will grow at a rate of 20 percent per year.

Answers

Answer:

C. 3.8 years

Step-by-step explanation:

Exponential Growth

The natural growth of some magnitudes can be modeled by the equation:

[tex]P(t)=P_o(1+r)^t[/tex]

Where P is the actual amount of the magnitude, Po is its initial amount, r is the growth rate and t is the time.

The actual population of deer in a forest is Po=800 individuals. It's been predicted the population will grow at a rate of 20% per year (r=0.2).

We have enough information to write the exponential model:

[tex]P(t)=800(1+0.2)^t[/tex]

[tex]P(t)=800(1.2)^t[/tex]

It's required to find the number of years required for the population of deers to double, that is, P = 2*Po = 1600. We need to solve for t:

[tex]800(1.2)^t=1600[/tex]

Dividing by 800:

[tex](1.2)^t=1600/800=2[/tex]

Taking logarithms:

[tex]t\log 1.2=\log 2[/tex]

Dividing by log 1.2:

[tex]t=\frac{\log 2}{ \log 1.2}[/tex]

Calculating:

t = 3.8 years

Answer: C. 3.8 years

Answer:

3.5 years

Step-by-step explanation:

Find the LCM of the following
a) 6, 9, 15
b) 3, 12, 16
c) 8, 9, 12
d) 24, 18
e) 21, 28
f) 18, 42

Answers

Answer:

A. LCM of 6,9, and 15 is 90.

B. LCM of 3,12, and 16 is 48.

C. LCM of 8,9, and 12 is 72.

D. LCM of 24 and 18 is 72.

E. LCM of 21 and 28 is 84.

F. LCM of 19 and 42 is 798.

Step-by-step explanation:

Hope this helps! :)

Can u plz help me with this !!!

Answers

Answer:

60

Step-by-step explanation:

10 + 5 = 15. 15/2 is 7.5. 7.5 times 8 is 60. The formula for the area of the trapezoid is (a+b)/2 x h.

What is the Mean Absolute Value?​

Answers

Answer:

Mean absolute deviation (MAD) of a data set is the average distance between each data value and the mean. Mean absolute deviation is a way to describe variation in a data set. Mean absolute deviation helps us get a sense of how "spread out" the values in a data set are.

Step-by-step explanation:

The average absolute deviation, or mean absolute deviation, of a data set is the average of the absolute deviations from a central point. It is a summary statistic of statistical dispersion or variability.

7-5x+1 please help I’m supposed to find the like terms coefficients and constants pla

Answers

Answer:

coefficient is 5x and the constant is 1.

Step-by-step explanation:

simple math

Dear math why don't you grow up and solve your own problems

Answers

Answer:

LOL

Step-by-step explanation:

Answer:

Step-by-step explanation:

Yes

What is the scale factor?

Answers

Answer:a scale facter is a scale of how much is one each side or corner and the shape

Step-by-step explanation:

20 POINTS!!!
b-74 = 12
explain your thinking

Answers

Answer:

86

Step-by-step explanation:

Step 1: Collect liketerms by switching to the terms tgat are alike to the other side

b=12+74

NOTE: while switching, the signs change to the oppositeStep 2: Add 12 + 74

b=12+74

b=86

Answer:

B=86

Step-by-step explanation:

So first step is add 74 to 12 because if you subtracted b with 74 and to reverse that you have to add and 74+12=86 and that is what b equals

How do you do ratios and proportion?

Answers

Answer: Ratios and Proportions - Proportions - In Depth. A proportion is simply a statement that two ratios are equal. It can be written in two ways: as two equal fractions a/b = c/d; or using a colon, a:b = c:d. The following proportion is read as "twenty is to twenty-five as four is to five."

HOPE THIS HELPS

plz plz somebody help me i will mark you has brainlest pls its due at 8:00 its like 7:43

Answers

Answer: She is incorrect because 0 + 0 = 0


Question 1
What is another name for line k?

Answers

Answer:

FG i think... sorry if i am wrong

Step-by-step explanation:

subtract 1x²-2x-6 from -6x + 5​

Answers

not sure how to type it out but here

Use addition to solve the linear system of equations. (2x+y=5, 3x+2y=4)

Answers

Answer:

Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.

Point Form:

(6,−7)

Equation Form:

x=6,y=−7

Step-by-step explanation:

the table gives information about the lengths of time spent in hours, some children spent watching Tv last week

Answers

The data in the table is plotted by using a histogram as shown in the diagram attached below.

What is a histogram?

A histogram can be defined as a type of chart that is used to graphically represent a group of data points (statistical information) into user-specified ranges through the use of rectangles.

Generally, the area of each rectangle is directly proportional to the data frequency and its width is equal to the class interval.

Given the following data:

Length of time (t)                                  Frequency.

0 ≤ t < 10                                                810 ≤ t < 15                                              1515 ≤ t < 20                                             1020 ≤ t < 30                                             11

The vertical axis (y-axis) of the histogram would be used to represent the frequency density while the horizontal axis (y-axis) of the histogram would be used to represent the lengths of time spent (in hours) spent by the children in watching Tv last week as illustrated in the diagram below.

Read more on histogram here: https://brainly.com/question/21304143

ASAP PLZ HELP I will give brainlyleist​

Answers

Answer:what is the questionStep-by-step explanation:

Find the volume of the figure below. 5 cm 11 cm 66 cm 82.5 cm 132 cm 165 cm​

Answers

Answer:

A) 66cm³

Step-by-step explanation:

Using the Pythagorean Theorem, the base of the triangle is 4.  The area of a triangle is 1/2 base times height.  Then you multiply times 11 to get the volume.

1/2(3)(4)(11)=66

(50 POINTS HELP)The manager of a restaurant chain wants to know how many times per month diners come to his restaurant. The table shows the number of visits in one month for three samples of 10 randomly chosen diners.


Answer the questions to find the means, compare the samples, and make a prediction.

1. What are the means of Samples 1 and 2? Show your work (what number did you use).

Write your answer in the space below.

The mean of sample 1 =

The mean of sample 2 =



2. What is the mean of Sample 3? Show your work (what number did you use).

Write your answer in the space below.


The mean of sample 3 =

3. Based on the data, would you predict that, in one month, the average diner would visit the restaurant fewer than 3 times, 3 or 4 times, or, about 4 times? Explain your reasoning.

Write your answer in the space below.

Answers

Answer:

Means

sample 1: 3.6

sample 2: 3.3

sample 3: 3.8

Step-by-step explanation:

Three or four times. All of these means are no less than three but no more than four this means that the average number of times is between three or four

a) The mean of the sample 1 = 3.6

b) The mean of the sample 2 = 3.3

c) The mean of the sample 3 = 3.8

d) In one month, the average diner would visit the restaurant 3 or 4 times

What is Mean?

The mean value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values.

Mean = Sum of Values / Number of Values

Given data ,

Let the mean of the sample 1 be represented as M₁

Let the mean of the sample 2 be represented as M₂

Let the mean of the sample 3 be represented as M₃

where the number of visits to restaurant in one month is given by

Sample 1 = { 5 , 2 , 6 , 4 , 4 , 7 , 2 , 1 , 2 , 3 }

The number of visits = 10 visits

The total sum of sample 1 = 36

So , mean M₁ = 36/10 = 3.6

And , Sample 2 = { 2 , 6 , 1 , 3 , 4 , 5 , 2 , 1 , 5 , 4 }

The number of visits = 10 visits

The total sum of sample 1 = 33

So , mean M₂ = 33/10 = 3.3

And , Sample 3 = { 3 , 3 , 6 , 4 , 1 , 5 , 3 , 4 , 4 , 5 }

The number of visits = 10 visits

The total sum of sample 1 = 38

So , mean M₃ = 38/10 = 3.8

And , the average diner would visit the restaurant 3 or 4 times because the mean value of the three samples lies between 3 and 4

Hence , the mean of the sample is solved

To learn more about mean click :

https://brainly.com/question/15526777

#SPJ3

Other Questions
The right triangle on the right is a scaled copy of the right triangle on the left. Identifythe scale factor. Express your answer as a whole number or fraction in simplest form. The question is in the picture please help!!! What is the slope of a line of best fit that has the points (20, 12) and (30, 6) on it? Write a story that could represent this math problem.The equation four times three eighths. Below is four rectangles partitioned into eight equal parts. All the rectangles each have three parts shaded. You commit plagiarism when: A. You present the work or ideas of someone else as your own B. You forget to cite your sources accurately and correctly C. You submit the assignment before the due date D. You pair up with a classmate to submit an individual assignment 180-90-(3x+x). Find x What conclusions can you draw about thevalue placed on human life during the Qin andHan dynasties?PLEASE HELPPP What body of water is east of the Sudan? Which is not recognized informational writing style?A. CasualB. FormalC. InformalD.personal It has been increasingly difficult for parties to work together in Congress in recent years because of Find the future value if 1500 is invested for 5 years at 8.7% p.a. g In the current business environment, companies cannot survive without a long-term strategy. What exactly should an effective strategy include Translate You will find it into Spanish in the box below: Aubrey's dog weighs more than 56 pounds. which inequality correctly represents the possible weight, w, of her dog?A) w56C) 56=wD) 56>w what goes in the white empty boxes? and what did you multiply or divide? HELP!!! What would be the mass of 9.03 x 10^21 molecules of hydrobromic acid? What major landform did many of the trade routes between Western Africa and the Mediterranean have to cross? As positively charged sodium ions enter the axon, _______ flow(s) out to repolarize part of the axona. potassium ionsb. a neural impulsec. the action potentiald. glial cells 6. Summarize - "Need a haircut, greaser?"Write 3 sentences that summarize the events connected to this quotation. W.E.B. DuBois theory of double consciousness describes theAsplit between residents of Harlem and residents of greater New York City.Bsplit between black identity and American identity.Cchallenges of being biracial.Dact of sleepwalking.