Answer:
it would be option C) (x – 10)(x + 2)(x + 6)
Step-by-step explanation:
You have to divide x^3 -2x^2 -68x -120 by x + 2 to get x^2 - 4x -60 and then factor
The factors of the function are (x + 2)(x - 10)(x + 6).
What is a polynomial?Any expression which is formed by using constants, variables, and exponents is polynomial, it is solved with the help of mathematical operators. Polynomial is made by the parts "poly" and "nominal" here "poly" means many and "nomial" means terms.
Given f(-2) = 0
f(x) = x³ - 2x² - 68x - 120 .........(1)
one factor of function is x + 2
divide the function by x + 2
multiply x² by x +2
x²(x + 2) = x³ + 2x²
subtract the term from equation 1 we get,
x³ - 2x² - 68x - 120 - x³ - 2x²
= -4x² - 68x -120 ......(2)
now multiply -4x by x + 2
-4x(x + 2) = -4x² - 8x
subtract the term from equation 2 we get
-4x² - 68x -120 - (-4x² - 8x)
-60x - 120 ........(3)
again multiply -60 by (x + 2)
-60(x + 2) = -60x - 120
subtract from equation 3
-60x - 120 - (-60x - 120) = 0
The quotient we get from the division is,
x² - 4x - 60
here are the factors of x² - 4x - 60 = (x - 10)(x + 6)
Hence, the factors of polynomials are (x + 2)(x - 10)(x + 6).
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The formulas below are the cost and revenue functions for a company that manufactures and sells small radios.
C(x)= 64,000 + 45x and R(x) = 49x
a. Use the formulas shown to write the company's profit function, P, from producing and selling x radios.
b. Find the company's profit if 24,000 radios are produced and sold.
a. The company's profit function is P(x) =
(Simplify your answer.)
A group of students held a fundraiser last year and raised $950 for charity. This year, they raised $1,045.
What is the percent change in the amount the group raised?
bo
Answer:
10% (if this is helpful please brainlist!!!)
Step-by-step explanation/proof:
4 divided by 1/5 plzzzz helppppppppppppppppppppppppp
Answer:
the answer is 20
Step-by-step explanation:
Answer:
Your answer is: 20
One of two or more expressions that are multiplied together to get a product.
Factor the numerator and denominator and cancel the common factors.
Step-by-step explanation:
Hope this helped : )
Kyle is drawing a rectangle on the coordinate plane. Which coordinate pair could be Point M, the missing vertex of the rectangle?
Answer:
Step-by-step explanation:
5,2
What is the y-intercept of the function f(x) =-2/9x + 1/3?
-2/9
-1/3
1/3
2/9
Answer:
1/3 is the y-intercept of the function
What is 17/5 as a mixed number in simplest form?
Answer:
3 2/5
Step-by-step explanation:
Consider the statement “Worldwide, there are more than $2.5 trillion in credit card transactions annually.”
What is the daily average dollar amount of transactions? Round to the nearest hundred million dollars.
Answer:
3 trillion
Step-by-step explanation:
because just do the math bu bl I really dk
pls pls help pls plz plz
Answer:
148
Step-by-step explanation:
a/22=74
a=1628
1628/11=148
Answer:
148
Step-by-step explanation:
the # is divided by 22 to get 74, so to know what # is, we need to multiply 22 and 74, which fives you 1,628. Then, you just divide that by 11, which give you 148 :)
for some reason it won't let me type the at symbol
Evalute the function when x = -2
f(x)=11- 3x
Please help I’m confused by the whole concept
Answer:
f(-2)=17
Step-by-step explanation:
Anywhere you see x replace it with -2
f(-2) = 11 - 3 (-2)
f(-2) = 11 + 6
f(-2) = 17
What is the value of -16 - (-34)
Answer: 18
Step-by-step explanation:
Distribute that negative sign like a -1 to get:
-16 + 34 = 18
In Earnest's Yard, the grass grew 2 inches. The next week, Earnest cut 2 inches off of the grass. The total change was 0 inches. Which of the following situations also has a total change of 0?
Answer:
7-7 = 0
Step-by-step explanation:
Sandy brought different toys from the market, she divided the seven toys into seven children , now she has a total of zero toys left
Total toys left = 7 - 7
Total toys left = 0
What’s the total distance he travels
Answer:
10
Step-by-step explanation:
find the length of each leg, being 6 and 8. Then use the pythagorean theorem a^2+b^2=c^2
6^2+8^2=c^2
36+64=c^2
100=c^2
c=10
hope this helped... if it did, please let me know by marking me the brainliest:))
if a car travels 400 meters in 20.5 seconds how fast is it going
Answer:
The car is going 43.6475 mph
Step-by-step explanation:
Complete the expression so it forms a perfect-square trinomial.
x² +
x + 49
Answer:
Step-by-step explanation:
How to add a great answer
ADD YOUR ANSWER
Question
Complete the expression so it forms a perfect-square trinomial.
x² +
x + 49
Answer:
The answer is 14
Step-by-step explanation:
on edge 2020.
Correctly explains how to estimate 33% of 87.
I have done this for a million times and I always get this one wrong I need the correct answer
Answer:
A, B, and D.
Step-by-step explanation:
HEY!! remember that if a number has ^2, it basically means it's multiplied by itself. for example:
5^2 = 5 x 5
aka, 25.
You can use this to check each of the answers in your formula, like this:
if x=6, then:
x^2 < 100
6 x 6 = 36
36 < 100
A is one of your correct answers!
Also remember, if you multiply a negative by a negative, it becomes positive.
-5 x -5 = 25
-10 x -10 = 100
What is the slope of the line through points (8, -3) and (2, 1)?
Answer:
2/3
Step-by-step explanation:
1--3/2-8
=4/6
=2/3
Lin divides the polynomial 2x^2 -4x+1 by 4 and gets 0.5x^2 -x + 0.25. is 0.5x^2 - x +0.25 a polynomial
Answer: yes
Step-by-step explanation:
The expression 0.50 x² - x + 0.25 is a polynomial.
It is given that Lin divides polynomial 2x² - 4x + 1 by 4 and gets 0.5x² - x + 0.25.
We have to find out that whether the expression given is a polynomial ?
What do you mean by a polynomial ?
Polynomials are algebraic expressions that consist of variables and coefficients e.g., polynomial with one variable is x² + x - 12.
As per the question ;
Lin divides polynomial 2x² - 4x + 1 by 4 and gets 0.5x² - x + 0.25
Let's check ;
(2x² - 4x + 1 ) ÷ 4
= [tex]\frac{2x^{2} }{4}[/tex] - [tex]\frac{4x}{4}[/tex] + [tex]\frac{1}{4}[/tex]
= [tex]\frac{x^{2}}{2}[/tex] - x + 0.25
or
= 0.50 x² - x + 0.25
or a form of polynomial i.e., ax² + bx + c.
Thus , the expression 0.50 x² - x + 0.25 is a polynomial.
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Trey’s grandmother has a framed picture with side lengths that are 12 inches. Trey wants to know how much wall space is needed for the picture.
What is the area of a picture with side lengths that are 12 inches? Use the formula A= s^2, where s is the length of one side.
A. 12in.^2
B. 144in.^2
C. 24in.^2
D. 288in.^2
Answer:
B, 144in.^2 :)
Step-by-step explanation:
The area of a picture with side lengths that are 12 inches is 144 inches²
It should be noted that a square has four sides that are equal. In this case, we've been given the side of one of the lengths to be 12 inches.
Therefore, the square of the sides will be 12 inches multiplied by 12 inches. This will then be:
Area of a square = side ²
Area = 12 inches × 12 inches
Area = 144 inches²
Therefore, the area of a picture with side lengths that are 12 inches is 144 inches ²
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The jogging track at Francine's school is 3/4 mile long. Yesterday Francine completed two laps on the track. If she ran 1/3 of the distance and walked the remainder of the way, how far did she walk?
Click on the correct answer.
\(\frac{2}{5}\div2\frac{1}{4}\)
a:\(\frac{8}{45}\)
b:\(\frac{9}{10}\)
c:\(1\frac{1}{9}\)
d:\(5\frac{5}{8}\)
Answer:
A
Step-by-step explanation:
i am smart
PLEASE HELP IM BEGGING YOU!!
FIND THE VALUE OF X
Answer:
12
Step-by-step explanation:
if 8+15 is about the length of the circle, the length is about 23
so 23 - 10 = 13 and the closest number to 13 is 12 so 12 is the answer
Simplify. 863x14y9−−−−−−√
Answer: 1
Step-by-step explanation: 863x14ysqrt9= 3 simplified is 1
What is the slope of the line that passes through the pair of points of (1,7),(6,0)
Answer: -7/5
Step-by-step explanation:
Use the slope formula. Change in y divided by the change in x
(0-7)/(6-1) = -7/5
Brainliest would be appreciated
1. What are the opposite and absolute value of:
a) 7.2 ____,____ b) -3.5 ____, ____ c) 5 ½ ____,____
Answer:
a) 7.2, -7.2, 7.2
b) -3.5, 3.5, 3.5
c) 5 1/2, -5 1/2, 5 1/2
Step-by-step explanation:
The opposite number of a value is the number that adds to it to make zero. To find the opposite of a number you need to switch the sign, either from positive to negative or vice versa. The absolute value of a number is the distance from zero it is. Since distance cannot be negative you just need to take the number and make it positive.
Find −6 3/8−1/4. Write your answer as a mixed number in simplest for
Answer:
Usually, a mixed number is the simplest way to express an improper fraction – but sometimes, the fraction ... Don't express the answer as a decimal. Instead ... So, add the whole number back in to get a final result of 6 1/2. ... Write out the factors for the numerator of your fraction, then write out the factors for the denominator.
Step-by-step explanation:
Answer:
mixed number is a number consisting of a whole number and a proper fraction.
Below are examples of mixed numbers:
4\dfrac12, 1\dfrac38, 12\dfrac564
2
1
,1
8
3
,12
6
5
Step-by-step explanation:
make me as brain liest
A child walks 3/10 of a mile in 1/5 hour. At this rate, how far will the child walk in 1 hours ?
Answer:
1.5 miles
Step-by-step explanation:
.3 miles/12 minutes x 5/5 = 1.5 miles/ 1 hour
Find the intercepts of the given line:
y=−6x+21
Answer:
x-intercept = 3.5y-intercept = 21Step-by-step explanation:
x-intercept is for y = 0
y-intercept is for x = 0
Substitute
For y = 0
-6x + 21 = 0 |subtract 21 from both sides
-6x = -21 |divdie both sides by (-6)
x = -21/(-6)
x = 21/6
x = 3.5
For x = 0
y = -6(0) + 21
y = 0 + 21
y = 21
What is 9/7 times -9/5?
Answer:
- 2 11/35
Step-by-step explanation:
Step 1:
9/7 × - 9/5 Equation
Step 2:
- 81/35 Multiply
Answer:
- 2 11/35 Convert
Hope This Helps :)
Answer:
Step-by-step explanation:
nevermind sry
If you had a bank that offered 6.1% interest and compounded money 4 times a year, how many years would go by until you could turn $6000 into enough to buy a brand new car ($12,000)?
Answer:
t = 11.45 years
Step-by-step explanation:
A = p(1+r/n)^nt
A = future value = $12000
P = present value = $6000
n = number of periods = 4
r = interest rate = 6.1% = 0.061
t = number of years = ?
t = log(A/P) / n[log(1 + r/n)]
= log(12000/6000) / 4[log(1+0.061/4)]
= log(2) / 4[log(1 + 0.01525)]
= 0.3010 / 4[log(1.01525)]
= 0.3010 / 4(0.00657)
= 0.3010 / 0.02628
= 11.45 years
