By the remainder theorem, dividing [tex]f(x)[/tex] by [tex]x-2[/tex] leaves a remainder of [tex]f(2)[/tex], which is
[tex]f(2)=2(2)^4+(2)^3-8(2)-1=\boxed{23}[/tex]
which makes B the correct answer.
The remainder when f(x) = 2x^4 + x^3- 8x - 1 is divided by x - 2 is 23
A polynomial is an expression consisting of the operations of addition, subtraction, multiplication of variables.
Polynomial based on degree is linear, quadratic, cubic.
The remainder theorem states that when a polynomial, f(x), is divided by a linear polynomial x - a, the remainder of is to f(a)
Given that f(x) = 2x⁴ + x³ - 8x - 1 is divided by x - 2
x - 2 = 0
x = 2
f(2) = 2(2)⁴ + (2)³ - 8(2) - 1 = 23
Hence The remainder when f(x) = 2x^4 + x^3- 8x - 1 is divided by x - 2 is 23
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there are 35 students in art class and 57 students in dance class. Find the number of students who are either in art class or in dance class
Answer:
hope it helps you
Step-by-step explanation:
Let
A be the set of students in art class
B be the set of students in dance class
n(A) = 35
n(B) = 57
a) When 2 classes meet at different hours and n(A ∩ B) = 12 we have:
n(A ∪ B) = n(A) + n(B) - n(A ∩ B) = 35 + 57 - 12 = 80
b) When two classes meet at the same hour we have A∩B = ∅ that is n(A ∩ B) = 0 and
n(A ∪ B) = n(A) + n(B) - n(A ∩ B) = n(A) + n(B) = 35 + 57 = 92
Katie bought a new dress for the winter
formal dance at school. She was able to find it
on sale for 40% off the original price. If she
paid $72 after the discount was applied, then
what was the original price of the dress?
Answer: it’s 120
Step-by-step explanation:
since I have earned a lot of points I wanted to give back so here :D
p.s. you are the best don't let anyone tell you different <333
Answer:
THX
Step-by-step explanation:
geography
Answer:
Thanks for the free points! (´・ω・｀) uwu
Step-by-step explanation:
can I friend you so I can respond to some of your questions if i can?
It is common in many industrial areas to use a filling machine to fill boxes full of product. This occurs in the food industry as well as other areas in which the product is used in the home, for example, detergent. These machines are not perfect, and indeed they may A, fill to specification, B, underfill, and C, overfill. Generally, the practice of underfilling is that which one hopes to avoid. Let P(B) = 0.002 while P(A) = 0.980.
Use the law of detachment to determine what you can conclude from the given information if three points lie on the same line then they are collinear points A B and C lie on the line M
Answer: Points A,B, and C are collinear
Step-by-step explanation:
You are multiplying as many as you want 5s and as many as you want 2s, at least one of each. What could the last digit of the product be?
Answer:
0
Step-by-step explanation:
It is always going to be 0 because there is always going to be a 2 and a 5 that multiply to make the units digit zero.
I hope this could help you.
Answer:
0
Step-by-step explanation:
any multiple of 5 ends in 5 or 0
it cant end in 5 as then it wouldn't be an even number
so its 0
25. What is the slope of the line that passes through the points (8, 1) and (5, 7)?
9514 1404 393
Answer:
-2
Step-by-step explanation:
You can use the formula for slope (m) to find it:
m = (y2 -y1)/(x2 -x1)
m = (7 -1)/(5 -8) = 6/-3 = -2
The slope of the line is -2.
The Jacuzzi in Anna and Tamara's room is octagonal in shape (eight sides).
The top and bottom of the base of the Jacuzzi is 3x + 2,
the other six sides are 2r. Write an expression that
represents the perimeter of the base of the Jacuzzi."
Answer:
people place anf things fom different sources from different people
Answer:
18x+4
Step-by-step explanation:
add all the sides to get the perimeter 2 +2+2+2+2+2 =( 12) 3x+2 +3x+2=(6x+4) Make the expression 12x+6x+4 add 12+6= gives you 18x+4
WHAT IS 52÷467 I NEED TO KNOW CAUSE I HAVE TO GET MY GRADES UP
Answer:
.1113490364
Step-by-step explanation:
this is the answer.
An airplane flying at 24,250 feet is directly over a submarine that is 475 feet below sea level. What is the distance between a person in the plane and a person in the submarine?
Answer:
23,775 feet apart
Step-by-step explanation:
24250+(-475)=23775
Joe's employer will reimburse him $0.07 per mile driven. If Joe drives 179.53 miles on a business trip, what is his mileage reimbursement? Round your answer to the nearest cent.
Answer:
$12.27
Step-by-step explanation:
.07 times 179.53 is 12.5671 so rounded to 12.27
The mileage reimbursement for Joe is: $12.27 to the nearest cent.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
WE have been given that Joe's employer will reimburse him $0.07 per mile driven.
If the employer reimburses $0.07 per mile driven, we just need to multiply $0.07 by the number of miles that Joe drives.
So, the mileage reimbursement for Joe is:
0.07 x 179.53 = 12.5671
so rounded to 12.27
Therefore, The mileage reimbursement for Joe is: $12.27 to the nearest cent.
Learn more about the unitary method;
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First try was incorrect
Lee wrapped 4 presents every 6 hours. At that rate, how many would
he wrap in 18 hours?
label optional
Answer:
27
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
6time 3=18 so 3 times 4 =12
This model represents an equation. (a) Write an equation that could be used to solve x (b) Solve the equation for x. Show your work.
Answer:
elimination method I think so
5x - 12 = 9-2X please help
Answer:
x=3
Step-by-step explanation:
Answer:
Its x=3
Step-by-step explanation:
Find the value of y.
(12x + 9)
(8x + 11)º
(14y + 7)o
Answer:
y = 7
Step-by-step explanation:
First, find the value of x.
[tex] (12x + 9) + (8x + 11) = 180 [/tex] (linear pair)
Solve for x
[tex] 12x + 9 + 8x + 11 = 180 [/tex]
Collect like terms
[tex] 12x + 8x + 9 + 11 = 180 [/tex]
[tex] 20x + 20 = 180 [/tex]
Subtract 20 from both sides
[tex] 20x + 20 - 20 = 180 - 20 [/tex]
[tex] 20x = 160 [/tex]
Divide both sides by 20
[tex] \frac{20x}{20} = \frac{160}{20} [/tex]
[tex] x = 8 [/tex]
Thus,
[tex] (12x + 9) = (14y + 7) [/tex] (vertical angles)
Plug in the value of x, and solve for y
[tex] 12(8) + 9 = 14y + 7 [/tex]
[tex] 96 + 9 = 14y + 7 [/tex]
[tex] 105 = 14y + 7 [/tex]
Subtract 7 from each side
[tex] 105 - 7 = 14y + 7 - 7 [/tex]
[tex] 98 = 14y [/tex]
Divide both sides by 14
[tex] \frac{98}{14} = \frac{14y}{14} [/tex]
[tex] 7 = y [/tex]
Rob made 7 brownies. He put nuts on 1 brownie.
What fraction of the brownies had nuts?
Answer:
he put it on one brownie so 1/7
calvin had 43 cents he found 14 more cents. how much money dose calvin have rounded to the nearest dime
Answer:
Calvin has 60 cents rounded to the nearest dime. without rounding he would only have 57
. Let x = 20: Evaluate x + x *2 - x/5
Answer:
Assuming this: * means a multiplication symbol, the answer is 56.
Step-by-step explanation:
1. Replace every single x with 20.
2. 20 + 20 * 2 - 20/5
3. Simplify the equation
4. 20 + 40 - 4 (Order of operations. To remember this use
P(parentheses)
E(exponents)
M(multiplication)
D(division)
A(addition)
S(subtraction)
Top to bottom represents which operations you should do first while simplifiying an equation. Addition and subtraction are in equal places. This is the same with multiplication and division.
5. 20 + 40= 60 - 4= 56
write the side length of the square root. is the side length a rational or irrational number
Answer:
10 it is rational
Step-by-step explanation:
Which of the following statement is true?
3 / 12 is the same as 3 ÷ 12
3/12 is the same as 12 ÷ 3
3 ÷ 12 is the same as 12/3
12/3 is the same as 3/12
Answer:
the 1st one
Step-by-step explanation:
1. Add 4.2 to both sides.
2. Divide both sides by -3.
Help help help!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
I think the starting point is in quadrant Q, and the finishing point is in quadrant S. I don't really understand part B, sorry...
Randy has $15 to spend on fruit. Using only estimation, which quantities of fruit can Randy reasonably buy? Check all that apply.
Answer:
7.2 pounds of apples
10.75 pounds of pears
4.22 pounds of strawberries
Answer:
A D E A=7.2 D=10.75 E=4.22. HOPE THIS HELPS! PLS give me brainliest...
Step-by-step explanation:
You are facing West. Turn 90 degrees left. Turn 180 degrees
right. Reverse direction. Turn 45 degrees left. Reverse direction.
Turn 270 degrees right.
In which direction are you now facing?
You would be facing Northeast.
Liam earns money by walking his neighbor’s dogs. On Monday he earned $20, on Tuesday he earned $15, and on Friday he earned $15. How much did Liam earn this week?
Answer:
$50.00
Step-by-step explanation:
BECAUSE U ADD 20+15+15!!!
:)
Devon pays $8.16 for 12 pounds of sugar. What is the price for 10
pounds of sugar
Answer:
$6.80
Step-by-step explanation:
$8.16 ÷ 12 = $0.68
$0.68 x 10 = $6.80
choose the ratio that is equivalent to this one 1/6 A. 3/8 B. 4/24 C. 2/6 D. 12/2
Find X and Y in this figure
Answer:
x = 6
y= 24
Step-by-step explanation:
90+ (3y+18) = 180. reason [being co-interior angle
(15x+30)+10x = 180. reason [being co-interior angle
A 6-foot piece of aluminum wire costs $49.68. What is the price per inch?
Answer:
0.69
Step-by-step explanation:
72 inches in 6 feet
72 divided by 49.68=0.69
Hope this helps
the length of a rectangle is 5 less than twice its width. the perimeter is 26 meters. find the dimensions of the rectangle.
Step-by-step explanation:
Let x be the length of rectangle and y its width.
P is the perimeter.
So it is given that length is 5 less than twice its width
x=2y-5 so 2y=x+5
also P=2x+2y=26
lets find x
we know 2y=x+5 we replace 2y on P=2x+2y=26
so 26=2x+(x+5)
26=3x+5
21=3x
x=7
so we have that 2y=x+5 so 2y=7+5=12
y=6
we found
length=7
and
width=6