Write the quadratic function f(x) = 3(x + 1)(x – 7) in standard form.

A)

f(x) = x2 – 18x – 21


B)

f(x) = 3x2 – 18x – 21


C)

f(x) = x2 – 6x – 7


D)

f(x) = 3x2 – 6x – 7

Answers

Answer 1

Answer:

B

Step-by-step explanation:

Given

f(x) = 3(x + 1)(x - 7) ← expand the factors using FOIL

     = 3(x² - 6x - 7) ← distribute the parenthesis

      = 3x² - 18x - 21 → B


Related Questions

help me with this please

Answers

Three I think, I’m not sure tho so I would get another opinion

Please please, I need help with this question ASAP.....

Answers

We want to compare averages.  From the histogram we have we don't know the exact mean, but if we just assume the average in each bin is the midpoint of the bin we can make an estimate.

Supplier A has

mean = ( 22(64) + 27(66) + 26(68) + 15(70) + 10(72) )/(22+27+26+15+10)

mean = 6728/100 = 67.28 grams

Supplier B has mean 66.5

Answer: Choose Supplier A

(work shown above)

A worker bee has a mass of 1*10^-4. There are 4*10^4 worker bees living in one hive. What is the mass of all the worker bees in the hive together? Write your answer in scientific notation.

Answers

Answer:

[tex]4[/tex]

Step-by-step explanation:

[tex]1 \times 10^{-4} \times 4 \times 10^{4}[/tex]

[tex]4 \times 1 \times 10^{-4} \times 10^{4}[/tex]

[tex]4 \times 10^{-4+4}[/tex]

[tex]4 \times 10^{0}[/tex]

[tex]4[/tex]

Answer:

4 x 10^0

Step-by-step explanation: That is the correct answer on khan academy

do supplementary angles form right angles? yes or no

Answers

Answer:

Yes i

Step-by-step explanation:

A supplementary angle can be two angles that sum up to 180 if you want you can have 2 angles that are 90 degrees that add up to 180 so therefore that would make a right angle.

ivan and polina have each drawn a conclusion about multiplying negative fractions. Ivan: The products of an even number of negative fractions is always positive. Polina : the product of an odd number of negative fractions is always negative.

Answers

Answer:

Both are correct

-1 x -1 = 1

-1 x -1 x -1 = -1

Hope this helps

Step-by-step explanation:

Answer:

Both Ivan and Polina.

Step-by-step explanation:

[tex]-2/1 \times -2/1=4[/tex]

[tex]-3/1 \times -3/1 \times -3/1=-27[/tex]

What is the area of a rectangle that has a length of 16.17 and a width of
8.75? DO NOT ROUND. *

Answers

Answer:

A =141.4875

Step-by-step explanation:

The area of a rectangle is given by

A = l*w

A = 16.17 * 8.75

A =141.4875

A certain bag of potting soil is 1/4 peat moss, and the rest is dirt. What part is dirt?
1/4
А
B
3/8
3/4
D
7/8
E
1-1/4

Answers

Answer:

[tex]D = 1 - \frac{1}{4}[/tex]

[tex]D = \frac{3}{4}[/tex]

Step-by-step explanation:

Given:

1 bag of potting soil

[tex]Peat Moss = \frac{1}{4}[/tex]

Required

What part is dirt?

The whole bag of potting soil is represented as 1;

Let P represent Peat Moss and D represented Dirt; Such that

[tex]P + D = 1[/tex]

Subtract P from both sides

[tex]P - P + D = 1 - P[/tex]

[tex]D = 1 - P[/tex]

Substitute [tex]\frac{1}{4}[/tex] for P

[tex]D = 1 - \frac{1}{4}[/tex]

Take LCM

[tex]D = \frac{4-1}{4}[/tex]

[tex]D = \frac{3}{4}[/tex]

Hence, [tex]1 - \frac{1}{4}[/tex] or [tex]\frac{3}{4}[/tex] of the potting soil is Dirt

If p ⊥ q, which of the following statements is true for the given figure? answers: A) ∠1 ≅ ∠3 B) ∠1 + ∠2 ≅ ∠3 + ∠4 C) ∠1 + ∠3 ≅ ∠2 + ∠4 D) ∠1 + ∠4 ≅ ∠2 + ∠3

Answers

Answer:

B

Step-by-step explanation:  The givens are that line p is perpendicular to line q, so you know that angle 1 + angle 2 = 90 and angle 3 + angle 4 are 90 degrees.  You can not tell by looking at the picture any other information, so you can only tell that angle 1 + angle 2 is congruent to angle 3 + angle 4.

Answer:

B is the right answer

Step-by-step explanation:

Choose the correct algebraic expression: two plus the product of six and a number

A. 2+6+n
B. 2+6n
C. 2(6n)
D. 2(6+n)

Answers

It’s B, because the question says 2 plus the product of six and a number. So your equation would be 2 plus 6 then any letter.

The expression for the statement given can be written as 2 + 6n. The correct option is (B).  

What is an Algebraic expression?

An algebraic expression can be obtained by doing mathematical operations on the variable and constant terms.

The variable part of an algebraic expression can never be added or subtracted from the constant part.

Suppose the required number be n.

Then, the expression for the statement can be written as follows,

Add 2 to the product of n and 6 to obtain,

2 + 6n

Hence, the required expression is given as 2 + 6n.

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if a new car is valued at $23,600 and 6 years later it is valued at $8000, then what is the average rate of change of its value during those 6 years?

Answers

The change through the year is 15,000

Find the domain and range of the function:
f(x) =5-x-3 to the square root
Domain:
Range:

Answers

Domain: x ≤ 5

Range: y ≤ -3

What do you mean by Square roots?

The square root of a number is an element that can replicate itself to find that number. The square root symbol is \ sqrt {} square root of, end square root. Finding the square root of a number is the opposite of multiplying a number.

Is √ it a square number?

The square root of a number is a number that, when multiplied by itself, is equal to the required value. So, for example, the square root of 49 is 7 (7x7 = 49). The process of multiplying a number itself is called squaring.

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Which statement is true about the end behavior of the
graphed function?

A: As the x-values go to positive infinity, the function's
values go to negative infinity.

B: As the x-values go to zero, the function's values go to
positive infinity

C: As the x-values go to negative infinity, the function's
values are equal to zero.

D: As the x-values go to positive infinity, the function's
values go to positive infinity.

Answers

Answer:

Option A.

Step-by-step explanation:

Let the given graph represent the function f(x).

From the given that given graph it is clear that the end behavior of the function f(x):

1. As the x-values go to positive infinity, the function's values go to negative infinity.

[tex]\lim\limits_{x\to \infty}f(x)=-\infty[/tex]

2. As the x-values go to negative infinity, the function's values go to positive infinity.

[tex]\lim\limits_{x\to -\infty}f(x)=\infty[/tex]

Therefore, the correct option is A.

The point (2,–5), when reflected across the origin, maps onto the point _______. answers : (–5,2) (5,–2) (–2,5) (2,5)

Answers

The points (2, -5) when reflected across the origin becomes (-2, 5)

What is reflection?

Reflection is a mathematical transformation of a shape by moving the vertices of the shape a distance equal to the distance between the line of reflection and the original point.

Other types of transformational processes are: Rotation and translation.

Analysis:

In transformation in the origin, the line of reflection is x = 0 and y = 0.

Which means both coordinates of the point would be changed.

At x = 2, 2 is 2 units from the origin. The only point which is 2 units away from the origin in the opposite side is -2.

Also at x = -5, that is 5 units away from the origin. The only point 5 units away from the origin is 5. so the new coordinate is 5.

In conclusion, the new point after reflection would be (-2, 5)

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Express the quotient in simplest form.

Answers

Answer:

(x-2)

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

x^3

Step-by-step explanation:

(x^2 -4)        x^3 -x^2 -6x

------------     ÷ ---------------------

x^3 + 7x^2        x^2 +4x -21

Copy dot flip

(x^2 -4)            x^2 +4x -21

------------     *  ---------------------

x^3 + 7x^2         x^3 -x^2 -6x

Factor

(x-2)(x+2)        (x+7)(x-3)

------------     *  ---------------------

x^2(x+7)         x(x-3)(x+2)

Cancel like terms

(x-2)                  1

------------     *  ---------------------

x^2                     x

(x-2)

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

x^3

F(x)=x^2 What is g(x)?

Answers

Answer:

answer is D

Step-by-step explanation:

If ABC is reflecting across the y-axis ,what are the coordinates of c’?

Answers

A. (-5,3) reflecting think of opposite
Think of the Opposites of the letters

What is the range of the function shown in this table?
х 3 4 5 6 y 4 4 2 5

Answers

Answer:

2,4,5

Step-by-step explanation:

Do not repeat numbers, u need to put them in order from least to greatest, and range is for the y

Evaluate 5 ÷ 4/6 Give your answer as a mixed number in its simplest form.

Answers

Answer:

7 1/2

Step-by-step explanation:

5 ÷ 4/6 = 5 ÷ 2/3 = 5 × 3/2= 15/2= 7 1/2

Which number produces a rational number when added to 1/3

Answers

Answer:

[tex]0.22[/tex]

Step-by-step explanation:

[tex]0.22 =22/100[/tex]

0.22 can be expressed as a fraction. Therefore, it is a rational number.

1/3 is a raional number.

[tex]1/3+22/100=83/150[/tex]

To produce a rational number we add 0.22 to 1/3. So, option C. is the right option.

What are rational and irrational numbers?

A rational number is any number of the form p/q, where p, q ∈ Z, q ≠ 0, and p and q have no common factors except 1.

Any number which cannot be expressed in the above form is called an irrational number.

How do we solve the given question?

In the question, we are asked to find the number from the given choices, which when added to 1/3, produces a rational number.

We know that adding an irrational number to any number gives an irrational number only. So we simply need to check for the rational number among the given options. Analyzing the options:

A. π: It is an irrational number as it cannot be expressed in the required form of p/q for being a rational number. (We sometimes take π = 22/7 which is a rational form, but it is not the actual value of π).B. 5.38516480...: It is an irrational number as it cannot be expressed in the required form of p/q for being a rational number.C. 0.22: It is a rational number as it can be written as 11/50, the required p/q form for being a rational number.D. √10: It is an irrational number as it cannot be expressed in the required form of p/q for being a rational number.

∴ We will add 0.22 to 1/3, to produce a rational number. Option C. is the right choice.

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What is m∠D? Enter your answer in the box.

Answers

Answer:

D = 32

Step-by-step explanation:

A+ B + E = 180 since they form a triangle

14+ 45 + E = 180

E = 180 -14-45

E =121

E on either triangle is the same since they are vertical angles

C+D+E = 180 since they form a triangle

27+ D + 121 = 180

D = 180-121-27

D =32

Leah drives her truck 270KM in the same time Deborah drives her car 250KM. If Leah drives 4km/h faster than Deborah. What is each of their driving speeds?

Answers

Answer:

Leah: 54km/h

Deborah: 50 km/h

Step-by-step explanation:

250+4x=270

4x=20

x=5

both drove 5 hours

Deborah:

250/5=50km/h

Leah:

270/5=54km/h

May invested $500 at 8% p.a. for 2 years. How much simple interest did she earn?

Answers

Answer:

The simple interest she earns is $80

p=500

r=8

t=2

Now,

SI=p×t×r/100

SI=500×2×8/100

SI=80

Answer:

[tex]\fbox{\begin{minipage}{5.5em}80 dollars\end{minipage}}[/tex]

Step-by-step explanation:

Given:

May invested $500 at 8% p.a. for 2 years.

Solve for:

The simple interest she earned.

Step 1: Define the formula to calculated the simple interest

Interest = Principal x Rate x Year

Step 2: Perform the calculation

With Principal = 500$, Rate = 8% = 8/100 = 0.08, and Year = 2

Interest = 500 x 0.08 x 2 = 80$

Hope this helps!

:)

HELPPPPPP PLEASEEEEE I HAVE 50 min left

Answers

Answer:

A

Step-by-step explanation:

Solving for 1995, which is 5 years after 1990, so plug in 5 as t.

n= 1.76(5)² - 13.32(5) + 41

n= 44 - 66.6 + 41

n= 18.4

n≈ 18 days

If it is on sale for 20% OFF and the sale price is $68; what was the original price?

Answers

Answer:

85

Step-by-step explanation:

The discount is original price times the percent off

The sale price is the original price minus the discount

original price - original price * 20 % = 68

Factor out the original price and change the percent to a decimal

original price ( 1 - .20) = 68

original price ( .80) = 68

Divide each side by .80

original price = 68/.80

original price = 85

Answer:

$13.60

Step-by-step explanation:

($68 x 20%) / 100

1360 / 100 = 13.6

the diagram shows the diiferance between my home h and two towns

Answers

Answer:

a. 20 mins

b. 30 mins

c. 4mph

Answer:

a)30

b)40

c)36

Step-by-step explanation:

Line d is parallel to line c in the figure below. Parallel lines d and c are intersected by lines q and p to form 2 triangles. At lines d and p, the angle is 2, at d and q, the angle is 1, and at q and p the angle is 3. At lines c and q, the angle is 4, at p and c, the angle is 5, and the third angle is 6. Which statements about the figure are true? Select three options. Vertical angles prove that Angle 2 is congruent to angle 5. In the two similar triangles, Angle 1 and Angle 4 are alternate interior angles. Vertical angles prove that Angle 3 is congruent to angle 6. The triangles are similar because alternate interior angles are congruent. In the two similar triangles, Angle 2 and Angle 4 are corresponding angles. The triangles are similar because corresponding sides are congruent.

Answers

Answer:

Its the 2nd, 3rd, and 4th answer.

Step-by-step explanation:

i figured it out cause i did somehow

Answer:

it is 2 3 and 4 on edge 2021

Step-by-step explanation:

have a good day because i said so but mostly because you want to....ok bye love you

8. A candle is 4 inches tall and burns at the rate of 0.6 inch per hour. If the height of the candle after x hours is 1.5 inches,
write an equation to represent the situation. Then use this equation to find the expected number of hours in which the candle
melted to 1.5 inches.

Answers

Answer:

x-.6=1.5

Step-by-step explanation:

4-1.5=2.5 2.5/.6 is approximately 4

PLEASE HELP ME !!!!!!!!!!

Answers

Answer:

x=139

Step-by-step explanation:

since a straight line is equal to 180 degrees line LN is 180 degrees therefore to figure x you must subtract 41 from 180 to get 139 hope this helps! :)

Answer:

z = 139°

Step-by-step explanation:

LON is a straight angle (an angle with 180°). You can tell just by looking at it.

41° is a supplement (meaning it adds up to 180°) of z.

From there you can just do

180° - 41° = 139°

z° = 139°

hope this help brainliest is always cool

Which number produces an irrational number when multiplied by 0.4?

Answers

Answer:

B unless it isnt

Step-by-step explanation:

B- some long decimal

(It’s pi. I hate pi.)


A shipping container is in the shape of a right rectangular prism with a length of 13 feet, a width of 4.5 feet, and a height of 6 feet. The container is completely filled with contents that weigh, on average, 0.78 pound per cubic foot. What is the weight of the contents in the container, to the nearest pound?

Answers

Answer:

The volume of the right rectangular prism is 12* 8.5 * 4 = 408  content density is 0.25 pounds

Step-by-step explanation:

Other Questions
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The lease cost would be $70,000 per year (the first payment due at the end of Year 1). As part of this lease cost, the owner would provide all servicing and repairs, license the cars, and pay all the taxes. Riteway would be required to make a $15,000 security deposit at the beginning of the lease period, which would be refunded when the cars were returned to the owner at the end of the lease contract.Riteway Ad Agencys required rate of return is 20%.Required:1. Use the total-cost approach to determine the present value of the cash flows associated with each alternative. (Any cash outflows should be indicated by a minus sign. Round discount factor(s) to 3 decimal places.) Prince Electronics, a manufacturer of consumer electronic goods, has five distribution centers in different regions of the country. For one of its products, a highspeed modem priced at $330 per unit, the average weekly demand at each distribution center is 70 units. 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During 2021, its first year of operations, Pincus provided a total of $156,000 of services on account. In 2021, the company wrote off uncollectible accounts of $6,300. By the end of 2021, cash collections on accounts receivable totaled $132,300. Pincus estimates that 10% of the accounts receivable balance at 12/31/2021 will prove uncollectible.Required:1. & 2. What journal entry did Pincus record to write off uncollectible accounts during 2021 and to recognize bad debt expense for 2021? (If no entry is required for a transaction/event, select "No journal entry required" in the first account field.)Journal entry worksheetRecord the write-offs of allowance for uncollectible accounts during 2021.Note: Enter debits before credits.Event General Journal Debit Credit1 record to recognize bad debt expense for 2021.Note: Enter debits before credits.Event General Journal Debit Credit2 Expand and simplify . 4a(2+3b)-5b(4a-10). PLEASE HELP. 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