Answers
The function that has a remainder of 18 when divided by ( x-2 ) is
f ( x ) = 2x⁴ + 4x² - 10x - 10
What is a polynomial function?
A polynomial function is a function that involves only non-negative integer powers or only positive integer exponents of a variable in an equation like the quadratic equation, cubic equation, etc.
Given data ,
The divisor = ( x - 2 )
The remainder = 18
The function will be f( x ) = 2x⁴ + 4x² - 10x - 10
Step 1 :
Divide f ( x ) by ( x-2 ) = [tex]\frac{2x^4+4x^2-10x-10}{x-2}[/tex]
=
[tex]2x^3+\frac{4x^3+4x^2-10x-10}{x-2}[/tex]
Step 2 :
Divide [tex]\frac{4x^3+4x^2-10x-10}{x-2}[/tex]
=
[tex]2x^3+4x^2+\frac{12x^2-10x-10}{x-2}[/tex]
Step 3 :
Divide [tex]\frac{12x^2-10x-10}{x-2}[/tex]
=
[tex]2x^3+4x^2+12x+\frac{14x-10}{x-2}[/tex]
Step 4 :
Divide [tex]\frac{14x-10}{x-2}[/tex]
=
[tex]2x^3+4x^2+12x+14+\frac{18}{x-2}[/tex]
The remainder is 18 at the end of step 4
Hence , the function that has a remainder of 18 when divided by ( x-2 ) is
f ( x ) = 2x⁴ + 4x² - 10x - 10
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Related Questions
is (0,1) a solution of -10x+4y≥-4
Answers
Answer:
x≤0
Step-by-step explanation:
+10x+4≥0
-10x≥0
Have an amazing day :)
Will give brainlst
Answers
Steps:
a^2 + b^2 = c^2
a^2 + 169 = 400
a^2 = 231
a = 15.19868
a = 15.2
Fred is trying to earn $35 to buy a basketball. He has saved $11.25. He earns $2.25 per hour doing yard work for his neighbor, and he earns $7.25 per hour selling sunglasses at the mall. Will Fred have enough to buy the basketball if he works in the yard for 2 hours and at the mall for 3 hours? Use the inequality 2.25y + 7.25z + 11.25 ≥ 35.
Question 5 options:
1)
No, because the total will be $58.75.
2)
No, because the total will be $21.25.
3)
Yes, because the total will be $37.50.
4)
Yes, because the total will be $26.25.
Answers
Answer:
37.50 is the answer or Number (3)
Step-by-step explanation:
I did this question before so I know it is right.
11.25 + 2.25 x 2 + 7.25 x 3 = 37.50
The inequality is correct!
Joel rides bikes in his city There are 4 lengths of race tracks.
Answers
Answer:
21
Step-by-step explanation:
asdawda
Given m = -1/2 and the point (2, 1), which of the following is the point-slope form of the equation?
Answers
Answer:
let (2,1) be (x1,y1)
equation of straight line in one intercept form
y-y1=m (x-x1)
y-1=-1/2 (x-2)
2 (y-1)=x-2
2y-2=x-2
x-2y-2+2=0
x-2y=0 is the required eqn
On a horizontal number line, -43 is located to the left of -35.
Answers
Answer: True
Step-by-step explanation: This is because -43 is farther from zero to the left on a number line than -35.
Answer:
Yes because the numbers are negative.
Step-by-step explanation:
If the numbers were positive 43 would be on the right of 35 on a number line.
I think that is what you were asking, but if it isn't just let me know.
A farmer has 100 acres on which to plant two crops. The cost of planting the first crop is $20 per acre and the second crop is $40 per acre, and up to $3000 is available to cover the cost of planting. Each acre of the first crop will require 5 work-hours for harvesting and each acre of the second crop will require 20 work-hours. The farmer can rely on having only a total of 1350 work-hours for harvesting the two crops. If the profit is $100 per acre for the first crop and $300 per acre for the second crop, determine the acreage that should be planted with each crop in order to maximize the total profit.
Answers
Answer:
shorturl.at/ipxUY
Step-by-step explanation:
because the other guy sry
Solve the inequality 5 - 1/2x great than 30
Answers
Answer:
5-1/2 = 4 1/2 4 1/2= 4.5. and 4.5 is not greater then 30, thus this statement is false
Step-by-step explanation:
Which of the following polygons has five lines of symmetry?
O A. Equilateral triangle
OB. Regular heptagon
O C. Regular pentagon
O D. Square
Answers
Answer:
pentagon have 5 sides, 5 symmetry lines.
So your answer is Option C.
The polygon with five lines of symmetry is a regular pentagon.
Option B is the correct answer.
What are regular polygons?A regular polygon is a closed shape that has straight sides of equal length and interior angles of equal measure.
This means that all of the sides and angles of a regular polygon are congruent (i.e., have the same size).
We have,
A regular pentagon is a five-sided polygon where all sides and angles are equal. It has five lines of symmetry, which means it can be divided into five congruent parts through lines that reflect the polygon onto itself.
To see why a regular pentagon has five lines of symmetry, consider drawing lines from each vertex to the center of the pentagon.
These lines divide the pentagon into five isosceles triangles, each with two equal sides and two equal angles.
Each of these triangles has a line of symmetry that passes through its vertex opposite to the equal sides, and through the midpoint of the base.
Thus,
The regular pentagon has five lines of symmetry.
Learn more about regular polygons here:
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ANYBODY KNOW THIS ??? DUE TODAY
Answers
Answer:
not sure but hope you find what your looking 4
Step-by-step explanation:
Derrick has $1,000 in a savings account that ears
15% interest, compounded monthly. To the nearest
cent, how much will he have in 2 years?
Answers
Answer: 1,347.35
just took it on a quizziz for class lol, btw there’s a website to calculate it :)
Answer:
A
Step-by-step explanation:
i need help with this question
Answers
Answer:
[tex] \boxed{ \tt{x = 201 \:m}}[/tex]
Step-by-step explanation:
[tex]applying \: the \: sine \: rule \to \\ \: \sin(38) = \frac{x}{327} \\ x = 327 \sin(38) \\ x = 201.32[/tex]
What is the probability of picking a green marble and flipping
tails?
Answers
Answer:
0.3
Step-by-step explanation:
3/5x1/2=3/10 = 0.33333
A circle has a diameter of 17 inches, what is the circumference?
Answers
what is -5 + 3 as no one has put it up
Answers
Answer:
_5+3
_2 is Negative Ans
Answer:
-2
Explanation:
-5 + 3
= -2
Please answer and explain I’ll mark brainliest!!!!!!!!!!!!
Answers
Answer:
A. x^2−x+6
B. 2x^2−11x+12
C. x^2−4
Step-by-step explanation:
Hope it helps
A. Distribute:
=(x)(x)+(x)(−3)+(2)(x)+(2)(−3)
=x2+−3x+2x+−6
Combine Like Terms:
=x2+−3x+2x+−6
=(x2)+(−3x+2x)+(−6)
=x2+−x+−6
B. I can't find an explanation
C. I can't find an explanation
Answer:
So we apply the distributive property to get
a) x^2 - 3x + 2x - 6
b) 2x^2 - 8x - 3x + 12
c) x^2 - 2x + 2x - 4
then we add like terms to get
a) x^2 - x - 6
b) 2x^2 - 11x + 12
c) x^2 - 4
brainliest please?
PLS HELP! DUE IN 30 MINUTES!
Answers
Answer:
8x
Step-by-step explanation:
4 km
4 km
4 km
4 km
7 km
4 km
4 km
Answers
Answer:
31 km.
Step-by-step explanation:
Translate the figure 3 units right and 7 units down. What are the coordinates of A'?
Answers
Answer:
i will go do the math
Step-by-step explanation:
need help this is my last chance
Answers
Jenna earns $10.75 per hour working at the mall. If Jenna worked 27 1/5 hours last week, how much did she earn before taxes were taken out?
Answers
Answer:
$292.40 earned
Step-by-step explanation:
$10.75 x 27 = $290.25
$10.75 x 1/5 = $2.15
$290.25 + $2.15 = $292.40 (total earned)
I hope this helps :)
Given points R (3,7) and S (1,3), what is the slope of the line that passes through the points R and S?
Answers
Answer:
Slope = y2-y1/x2-x1
Slope = (7-3)/(3-1)
Slope = 4/2
Slope 2
Let me know if this helps!
Before the clowns arrived, only 35 percent of the children
wore happy faces. If 91 children did not wear happy
faces, how many children were there in all?
Answers
Answer:
91 + 35 =126. Hope it helps
HELPPPPPP PLEASE I AM STRUGLING]
Answers
10 is the answer
why are you struggling
so simple
hope it helps you ❣❣Mark me as brainliest
3 x 7/8 I need help with this I do not understand if anyone knows tell me
Answers
Answer:
21/8
Step-by-step explanation:
because 3*7 is 21 over8
Answer:
Step-by-step explanation:
Your problem → 3 x ^7/8
3x^7 /8
= 3* x^7 /8
= 3x^7 /8
There is no any common factor
Please help I will give brainliest! I just need 22 and 23 please! Thank you! (And it’s related to ordered pairs by the way!)
Answers
Answer:
22. B1, G1 (from left to right)
23. E5
Step-by-step explanation:
A sales clerk sold 3 times as many T-shirts as hats last week. The number of belts she sold was 15 more than 1/4 the number of hats she sold. If she sold 288 hats, how many fewer belts than t-shirts did the clerk sell?
Answers
Answer:
777 fewer belts
Step-by-step explanation:
288/4 = 72
72 + 15 = 87
288*3 = 864
864 - 87 = 777
What is the center of the circle with this equation is (x+2)²+(y-4)=41?
Answers
Answer:
(h, k) is (-2, 4) and the radius is √41
Step-by-step explanation:
Compare the given equation with the general equation, which is good for circles with center at (h, k) and radius r:
(x - h)^2 + (y - 4)^2 = 41
Here the comparison shows that (h, k) is (-2, 4) and that the radius is √41.
the price of a computer had a discount of 7,800 if the discount was 20% how much was the original price
Answers
answer:
39000
step by step:
5x7800=39000
Answer:
The answer is 39,000
Step-by-step explanation:
Hope you have a great day
Plzz help me I am bad at math plzzz!
Complete this number sentence with the correct symbol.
0.2. 0.20
A. <
B.>
D.=
Answers
Answer:
=
Step-by-step explanation:
its the same just with an extra 0 at the end