F(x)= x^2 - 7x +12
The above equation is in standard form. Write the above equation in factored form
f(x) = (x-r1)(x-r2)


r1 represents first root, r2 represetnts second root


What are the roots?
Remember, x-r1 = 0 and x-r2=0

Answers

Answer 1

Answer:

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

Step-by-step explanation:

f(x)= x^2 -7x +12 factors immediately into f(x) = (x - 3)(x - 4

The roots are 3,4


Related Questions

what is the VOLUME of this rectangular prism!​

Answers

Answer:

There`s no photo but I can still help tell you how to solve the volume of a rectangular prism. Just multiply the length by the width, and then that by the height.

The formula is V = lwh

Hope this helps

solve triangles suing the law of sines

Answers

Step-by-step explanation:

In your solving toolbox (along with your pen, paper and calculator) you have these 3 equations:

The angles always add to 180°: A + B + C = 180° ...

Law of Sines (the Sine Rule): When there is an angle opposite a side, this equation comes to the rescue. ...

Law of Cosines (the Cosine Rule):

Jellybeans cost 0.80 per pound Howard buys 4 1/2 pounds of jellybeans for himself and 1 pound for his friend what is the total cost of the jellybeans Howard buys

Answers

Answer:

Howard bought a total of  4.5 + 1  =  5.5  pounds of jellybeans.

At  0.80 x 5.5  =  $4.40.

A pair of shoes have been marked up by 65%. If the original price was $40.00, what is the new price?

Answers

It would be $66 I believe.

Answer:

40 multiplied by 65 is 2600 then we divide by 65 and our answer is 65.so 65 plus 40 is 105.

Step-by-step explanation:

On Thursday, a restaurant serves iced tea to 65 of its 245 customers. What percent of the customer ordered iced tea? Round to the nearest whole percent. *

Answers

27%

65/245 = 0.2653

Multiply 0.2653 by 100 to get the percentage = 26.53%
Rounding to the nearest whole percent = 27%

9. A plastic pipe 10 cm long has an
outside diameter of 5 cm and an
inside diameter of 4 cm. If the
density of the plastic is 0.92 g/cm3,
what is the mass of the pipe? Use
3.14 for a, and round your answer
to the nearest gram.

Answers

First find the volume of the pipe:

V = 3.14*length*(outsideradius^2 - innerradius^2)
= 3.14 * 10*(2.5^2 - 2^2)
= 70.65 cm^3

Now find the mass using the formula density = mass / volume:

Mass = volume * density
= 70.65 cm^3 * 0.92g/cm^3
= 65 grams

The mass of the plastic pipe which is 10 cm long and has an outside diameter of 5 cm and an inside diameter of 4 cm is 65 grams.

What is of volume of a hollow cylinder?

Volume of a hollow cylinder is the amount of quantity, which is obtained by it in the 3 dimensional space.

The volume of hollow cylinder can be given as,

[tex]V=\pi (r_2^2-r_1^2)h[/tex]

Here, (r₂) is the outer radius of the cylinder, (r₁) is the inner radius of the cylinder and (h) is the height of the cylinder.

A plastic pipe 10 cm long has an outside diameter of 5 cm and an inside diameter of 4 cm. Radius is half of the diameter. Thus, the outer radius is 2.5 cm (5/2) and the inner radius is 2 cm (4/2).

The volume of this cylinder is,

[tex]V=3.14 ((2.5)^2-2^2)\times10\\V=70.65\rm\; cm^3[/tex]

The mass of plastic pipe is the product of its volume and density. The density of the plastic is 0.92 g/cm3. Thus, the mass of it is,

[tex]m=70.65\times0.92\\m=65\rm\; grams[/tex]

Thus, the mass of the plastic pipe which is 10 cm long and has an outside diameter of 5 cm and an inside diameter of 4 cm is 65 grams.

Learn more about the volume of cylinder here;

https://brainly.com/question/12748872

#SPJ2

simplify 2 x 4x x 2y​

Answers

Step-by-step explanation:

16xy is your Answer..

hope it helps

Answer:

The answer is 16xy

Step-by-step explanation:

All we have to do is take out the x and the y then multiply.

2 * 4 * 2 = 16

Then we add the x and y back.

= 16xy

So, the answer is 16xy

Hope this helps! :)

The body temperatures of all mosquitoes in a county have a mean of 57∘F and a standard deviation of 10∘F. What is the probability that in a sample of 25 mosquitoes the mean body temperature is greater than 59∘F, assuming the underlying distribution is normal? Do not write probability in terms of percentage. Round your answer to two decimal places.

Answers

Answer:

0.16 probability that in a sample of 25 mosquitoes the mean body temperature is greater than 59∘F, assuming the underlying distribution is normal.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

The body temperatures of all mosquitoes in a county have a mean of 57∘F and a standard deviation of 10∘F.

This means that [tex]\mu = 57, \sigma = 10[/tex]

Sample of 25:

This means that [tex]n = 25, s = \frac{10}{\sqrt{25}} = 2[/tex]

of 25 mosquitoes the mean body temperature is greater than 59∘F, assuming the underlying distribution is normal?

This is 1 subtracted by the pvalue of Z when X = 59. So

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

By the Central Limit Theorem

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

[tex]Z = \frac{59 - 57}{2}[/tex]

[tex]Z = 1[/tex]

[tex]Z = 1[/tex] has a pvalue of 0.84

1 - 0.84 = 0.16

0.16 probability that in a sample of 25 mosquitoes the mean body temperature is greater than 59∘F, assuming the underlying distribution is normal.

Someone help me with this question

Answers

Link to the answer is here.
explanation;

Find the area of the following
kite:
8 cm
2 cm
2 cm
2 cm
2
A = [?] cm2
Enter

Answers

Answer:

Area = 12

Step-by-step explanation:

The perpendicular bisector of the triangle going from upper left to the middle marks the height of the triangle. It's area is found from the standard formula.

Area = b * h / 2

b = 2 + 2 = 4

h = 8

Area = 1/2  * 4 * 8

Area = 1/2 * 32

Area = 16

The smaller triangle is found from all the twos.

b = 2 + 2 same as the larger triangle

h = 2

Area = 1/2 2 * 4

Area = 1/2 8

Area = 4

Total Area = 4 + 16

Total Area = 20

Answer:

Area=20

Step-by-step explanation:

A = 20 cm

Belleview High School has 12 chaperones for 198 students on a field trip. Which of the following schools has the same ratio of chaperones to students?
Group of answer choices

Answers

Answer:

Jefferson High School

Step-by-step explanation:

so the same ratio would be 12 chaperones to 210 students....12/210 reduces to 2/35

18/300 reduces to 3/50

20/350 reduces to 2/35

8/160 reduces to 1/20

14/260 reduces to 7/130

So the same ratio would be Jefferson High School

What is the value of y in the triangle ?

Answers

Answer:

c

Step-by-step explanation:

hope it helps

2. Choose a mapping diagram of the ordered pairs {(3,17), (5,19), (7,19),
(11,23), (13,29)).

Please help

Answers

C because the hypothesis of the right triangle is shorter than the right

Answer: C

Step-by-step explanation: The hypothesis of the right triangle is shorter than the right.

Becky has 4 1/2 cups of ice cream. If each ice cream scoop is 1/2 cup, how many scoops of ice cream can she make?

Simplify your answer.

Answers

Answer:

9 scoops

Step-by-step explanation:

(4 1/2)/(1/2) = 9/2 x 2/1 = 18/2 = 9 scoops

Becky can make 9 scoops of ice cream

4 1/2 = 4.5
1/2 = 0.5
4.5/0.5=9

Solve 5 tanx=523 for ° SXS 180°.
60°
b. 150°
a.
30°
N
Please select the best answer from the choices provided

Answers

Answer:

x = 1

Step-by-step explanation:

523 x = 523                                                                                                                Divide each term in  523 x = 523  by  523 . 523 x 523 = 523  523

Cancel the common factor of  523 .

Tap for more steps... x = 523  523

Divide   523   by  523 . x = 1                                                                                               May I please have a Brainliest please rate this too and like!  

James is standing near the base of a cliff. He spots his friend Jeff at the top. The angle of elevation is 23 degrees. If the cliff is 50 ft high. How far from the base of the cliff is James standing?

Answers

Answer:

117.79 ft

Step-by-step explanation:

tan23 = 50/x

(x)tan23 = 50

x = 50/tan23

x = 117.79 ft

Due in 20 minutes please help now what’s the answer I will give you brainiest

Answers

Answer:

The volleyball team's variability is greater because the range is greater! :)

Answer:

first answer your correct

Step-by-step explanation:

So basically the basketball team and the volleyball team are different because the basketball team has more people on it. The height difference is greater for basketball team.

lord help me pleaseeeee

Answers

Answer:

B  

Step-by-step explanation:

i just think it is because you would not survey anyone that was not in the science class

A water company charges $20 for service and $2.75 for every thousand gallons of water used in month. Construct a linear model to represent the water bill; how much would you be charged if you used 14-thousand gallons of water this month?

Answers

Answer:

$58.50

Step-by-step explanation:

2.75 per 1000

2.75 x 14 = 38.5

$38.50 + $20 =$58.50

Mrs Mills buys 4 packs of treats for her cats, Fluff and tigger
she gives Fluff 1/6 of a pack each day
She gives tigger 1/5 of a pack each day
for how many complete days will the 4 packs of treats last

Answers

Answer: 10 days

Step-by-step explanation:

1/6 + 1/5 = 5/30 + 6/30 = 11/30 (total for the day)

4 / (11/30) = 10.90909091 (divide the total amount of packages by the daily total)

So 10 complete days.

adadaadadadadadadadad

Answers

Answer:

I think B and D

Step-by-step explanation:

I’m not 100% sure tho

Select the correct answer

Answers

Answer:

number 3

Step-by-step explanation:

thats my calcue

Hmmmn well to be honest I don’t know

Which of the following is a trigonometric identity?
cot 0 + tan 0 = 1
sec2 0 +csc2 0 = 1
tan2 0 = sin2 0 x sec2 0
cos2 = sec2 0 x tank 0​

Answers

Answer:

it's the first one... I think

Answer:

third one

I'm assuming does 2's are squared symbols.

Step-by-step explanation:

It's the third one because

sin^2 x sec^2 x

sin^2 x (1/cos^2 x) by reciprocal identity

sin^2 x/cos^2 x by multiplicative identity prop

tan^2 x by quotient identity

The first one wouldn't work because plugging in pi/4 gives 1+1=1 which isn't true.

The second one doesn't work because plugging in pi/4 gives 2+2=1 which isn't true.

The last equation doesn't make sense at all. There is no variable on the left and on the right there is an extra variable.

A.right triangle
B.isosceles triangle
C.obtuse triangle
D.scalene triangle

HELP PLSSS THIS IS DUE BY 2:00 AM I NEED IT ASAPPP

Answers

Answer:

B. Isosceles triangle

Step-by-step explanation:

It is a vertical section and the figure formed from the cross-section is:

Isosceles triangle

Correct choice is B

the cost of 24 water bottles is $6. Which expression shows how to find the cost of 10 bottles of water? a.) 24/10 × 6
b.) 6/10 × 24
c.) 6/24 × 10
d.) 24/6 × 10 ​

Answers

Answer:

d. is ur answer

Step-by-step explanation:

(9,-3) and (9,-4) the slope is what

Answers

Answer:

Undefined

Step-by-step explanation:

a cubic base tank has edges 5m long. If 500 000 litres of water is poured into the tank, what will the water level be?​

Answers

36600 level of water and that is the answer

Luke is planning to lay two decorative pieces of wood across the 12-inch by 24-inch rectangular glass centerpiece of a cabinet. Each piece will lie on a diagonal of the centerpiece.

Select a number from the drop down menu to correctly complete the statement.

Each piece of wood should have a length of approximately.

Answers

Answer:

26.8

I might be late but its never to late to give the right answer

Answer:

yup the answer is 26.8

Step-by-step explanation:

i made a 100 so trust me!

What is the right answer please

Answers

Answer:

a is the answer my aunt told me she is a teacher

solve this problem step by step.
2x^3+17x^2+30x

Answers

The answer is x(2x +5) (x + 6)
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