2.
Using long division method, divide the following polynomials by a binomial and
check your answer.
4p3 - 4p2 + 6p - 5/2by 2p - 1
Answers
Answer:
2p^2-p + 5/2
Step-by-step explanation:
Here, we want to use long division method
Please check attachment for the long division process
According to the long division, the answer is
2p^2-p + 5/2
To check the answer, we multiply the binomial by the result of the division
That will be;
(2p-1)(2p^2-p + 5/2)
= 4p^3-2p^2+5p-2p^2+p-5/2
= 4p^3-2p^2-2p^2+5p+p-5/2
= 4p^3-4p^2+ 6p - 5/2
we then conclude that our answer is correct
Related Questions
HI PLS HELP!!! A student scored 83 and 91 on their first two quizzes. Write and solve a compound inequality to find the possible values for a third quiz score that would give them an average between 85 and 90, inclusive.
Answers
Answer:
between 81 and 96 inclusive
Step-by-step explanation:
well the average of 3 scores is
something / 3
so we have
[tex]85\leq \frac{83+91+x}{3}\leq 90[/tex]
now solving it
[tex]85(3)\leq 174+x\leq90(3)\\\\255\leq 174+x\leq 270\\\\81\leq x \leq 96[/tex]
Solve the system by substitution.
y = 5x
y = 9x + 8
Answers
Answer:
(-2,-10)
Step-by-step explanation:
So if y=5x and if y=9x+8 then those should be able to equal each other (substitution):
5x=9x+8
Subtract 5x from both sides:
0=4x+8
Subtract 8 from both sides:
-8=4x
Divide both sides by 4:
x=-2
If x=-2, then we can just plug it back into the first equation:
y=5(-2)
Simplify:
y=-10
Answer:
x = -2
y = -10
Step-by-step explanation:
So if y = 5x
Then you can put that in place of the y
5x = 9x + 8
Get the x's all on one side by subtracting
-4x = 8
Divide both sides by -4
x = -2
Then insert x into the first equation, so
y = 5(-2)
y = -10
HELPPPP!!!! ASAPPPPP!!!! TIMEDDDDD!!!!
Answers
Answer:
Yoyo and yoyo
Step-by-step explanation:
a recipe needs 4/5 cup(s) of sugar for every 3 cups of flour. if you plan to use 7 1/2 cups of flour, how much sugar will you need?
Answers
Answer:
2 cups of sugar
Step-by-step explanation:
Set up a proportion where x is the amount of sugar for 7.5 flour cups
[tex]\frac{3}{0.8}[/tex] = [tex]\frac{7.5}{x}[/tex]
Cross multiply and solve for x:
3x = 6
x = 2
So, you will need 2 cups of sugar
Which fraction has a a value that’s equal to 3/4?
Answers
Half of 6 is 3 and Half of 8 is 4
Which statement describes the mapping?
Group of answer choices
A. The mapping does not represent y as a function of x, because two of the x-values corresponds to the same y-value.
B. The mapping represents y as a function of x, because each y-value corresponds to exactly one x-value.
C. The mapping does not represent y as a function of x, because there are more x-values than different corresponding y-values.
D. The mapping represents y as a function of x, because each x-value corresponds to exactly one y-value.
Answers
Answer:
b. The mapping represents y as a function of x, because each y-value corresponds to exactly one x-value.
Step-by-step explanation:
please help me whit these
Answers
Your answer should be A
sorry if it isnt right
mark brainliest-?
4) Get Fit Headquarters charges $40 per month and $3 per exercise class. Fit Planet
charges $20 per month and $8 per exercise class. After how many exercise classes
will the monthly cost be the same at each gym? What will that cost be?
Answers
Answer:
After 4 exercise classes, the monthly cost will be the same at each gym
The cost will be $52
Step-by-step explanation:
Assume that the number of the exercise classes is x
∵ Get Fit Headquarters charges $40 per month and $3 per exercise class
∵ The number of the exercise classes is x
→ Add $40 to the product of x and $3 to get the monthly cost
∴ The monthly cost of Get Fit = 3x + 40
∵ Fit Planet charges $20 per month and $8 per exercise class
∵ The number of the exercise classes is x
→ Add $20 to the product of x and $8 to get the monthly cost
∴ The monthly cost of Fit Planet = 8x + 20
∵ They have the same monthly cost
→ Equate their monthly cost to find x
∴ 8x + 20 = 3x + 40
→ Subtract 3x from both sides
∵ 8x - 3x + 20 = 3x - 3x + 40
∴ 5x + 20 = 40
→ Subtract 20 from both sides
∵ 5x + 20 - 20 = 40 - 20
∴ 5x = 20
→ Divide both sides by 5
∴ x = 4
∵ x is the number of the exercise classes
∴ After 4 exercise classes the monthly cost will be the same at each gym
→ Substitute the value of x in one of the monthly cost to get it
∵ The monthly cost of the Get Fit = 3(4) + 40
∴ The monthly cost of the Get Fit = 12 +40
∴ The monthly cost of the Get Fit = 52
∴ The cost will be $52
Please help this is a grade
Answers
Answer:
I don't see the answer to the problem
the total cost of a bike cycle and radio is rupees 7000. if the cost of the bike cycle is rupees thousand a more than two times of the cost of the radio find the cost of each of these two items
Answers
Answer :
Radio = 2000
Bike = 5000
Hope this helps u
8. The Listening Example is one of A. 27 I B. 24 preludes in this set, Opus 28. C. 20 D. 28
Answers
Answer:
28
Step-by-step explanation:
I'm not sure sorry..........
Element X decays radioactively with a half life of 13 minutes. If there are 530 grams of Element X, how long, to the nearest tenth of a minute, would it take the element to decay to 11 grams?
Answers
Answer:
72.7 minutes
Step-by-step explanation:
From the above question, we can deduce that we are to find the time(t) of decay.
The formula used for this calculation is given as:
N(t) = No(1/2)^t/t½
N(t) = quantity of the substance remaining = 11 grams
No = initial quantity of the substance = 530 grams
t = time elapsed
t½ = half life of the substance = 13 minutes
Making t , the subject of the formula
t = t½ × In(N(t)/No)/-In2
t = 13 × In(11/530)/-In2
t = 72.675420100572minutes
Approximately 72.7 minutes
Mariah is training for the marathon. Today she ran 12 miles for 1 hour and 30 minutes . If the relationship between her distance covered and the number of minutes is proportional, write an equation that Mariah can use to represent the proportional relationship between her distance ( d ) and her time ( t).
Answers
Answer:
d= 8 t
Step-by-step explanation:
In 1 hour 30 minutes it ran for 12 miles.
So, time t =1.5 hours(Because 1 hour 30 minutes)
distance d =12
We know distance d= rate 'r' * time 't'.
So, using given information , find the rate
12= r *1.5
Divide both sides by 1.5
8=r
So, equation would be d =8 t.
Where 't' is in hours.
Solve the system of liner equations using substitution
{y=-x+3
3y+5x=-1
Answers
Answer:
[tex]y = - x + 3 \\ 3y + 5x = - 1[/tex]
Step-by-step explanation:
[tex]3( - x + 3) + 5x = - 1 \\ - 3x + 9 + 5x = - 1 \\ 2x = - 10 \\ x = - 5 \\ y = - x + 3 \\ y = 5 + 3 = 8 \\ y = 8[/tex]
14. Which of the following pairs of equation are equivalent
2x+8=18 and x=18-12
2x+(-6)=14 and 2x=14+6
21x=38 and 3x=36
6x=182 and x = 182/3
Answers
Answer:
the second equatin
2x+(-6)=14 that give x=10 and the other 2x=14+6 gives x= 10 so this pair is equal
please help ill give 20 points!!!
Answers
Answer:
H
Step-by-step explanation:
As you can see the more shirt's that were bought the lower the price becomes per shirt.
Help plzzzzzzzzzzzzzz
Answers
What is the slope of the line plz help
Answers
Have a good day
Answer:
The slope is 3!
Step-by-step explanation:
In the equation y=3x+2, whatever constant is with the variable "x" is the slope.
Hope this helps :)
what expression is equivalent to h + 5 + 3 - 2h
Answers
We want to combine like terms. So 5+3=8, and -2h + 1h = -1h. We can rewrite the expression as 8 - h.
The equivalent expression of h + 5 + 3 - 2h is -h+8.
What are the equivalent expressions?Expressions that are equivalent to the same thing, even when they have distinct appearances. When we enter the same value(s) for the variable, two algebraic expressions that are equivalent have the same value (s).
We have the expression:
h + 5 + 3 - 2h
To find the equivalent expression:
We simplify the expression,
h + 5 + 3 - 2h
= h -2h +5+ 3
= -h +8
-h+8 is the equivalent expression of h + 5 + 3 - 2h.
Therefore, -h +8 is the equivalent expression.
To learn more about the equivalent expression;
https://brainly.com/question/28170201
#SPJ2
Y-2#)_424-435 help me
Answers
Thanks for the points!
Answer:
thanks for points
Step-by-step explanation:
HELLLPPP PLSSSSS(don’t answer if you aren’t serious this is important)
Answers
9514 1404 393
Answer:
∠Q ≅ ∠U∠Q ≅ ∠U'∠S ≅ ∠VStep-by-step explanation:
The following angles are equivalent:
Q = U = 45°
R = T = W = 225°
S = V = 90°
X = 135°
Reflection, any rigid transformation, or any uniform dilation will not change the measures of the angles. That is, U = U', for example.
So, the true angle statements are ...
∠Q ≅ ∠U∠Q ≅ ∠U'∠S ≅ ∠VWhat is 11.242/22 eqaul?
I need ASAP
Answers
Answer:
11.242÷22=0.511
Plzzzzz give me Brainliest!!!!!
C=(y-6)h solve for y
Answers
Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:y=c/h +6
The perimeter of a rectangle is 160 feet. If the length of the rectangle is 28 feet more than the width, what are the dimensions of the rectangle?
Answers
Answer:
width = 26 ft
length = 54 ft
Step-by-step explanation:
perimeter = 160 ft
width = x
length = x + 28
Perimeter = 2(width) + 2(length)
[tex]2x + 2(x + 28) = 160 \\ 2x + 2x + 56 = 16 0\\ 4x = 160 - 56 \\ x = \frac{104}{4} \\ x = 26[/tex]
width = x = 26
length = x + 28 = 26 + 28 = 54
PLEASE ANSWER ASAP. WILL MARK AS BRAINLYEST
What is the area, in square units, of the parallelogram shown below?
O 12 square units
O 24 square units
O 48 square units
O 96 square units
Answers
Answer:
96
Plzzzzz give me Brainliest!!!!!
Answer:
A=b×h
Hence: 12 × 8= 96 square units
If mZLKO = 72°, then what is mZJKH?
B
C
E
A
►F
H Η
M
Answers
Answer:
d-"5"_""__"_'uvyctxycuvycycycyv
which of the answers are correct? there is possibly more than one.
Answers
Answer:
[tex]b_2 = \frac{2A}{h} -b_1[/tex]
Step-by-step explanation:
Given
[tex]A = \frac{1}{2}h(b_1 + b_2)[/tex]
Required
Select equivalent expressions
Multiply through by 2
[tex]2*A = 2*\frac{1}{2}h(b_1 + b_2)[/tex]
[tex]2*A = h(b_1 + b_2)[/tex]
[tex]2A = h(b_1 + b_2)[/tex]
Divide through by h
[tex]\frac{2A}{h} = \frac{h(b_1 + b_2)}{h}[/tex]
[tex]\frac{2A}{h} = b_1 + b_2[/tex]
Subtract b1 from both sides
[tex]\frac{2A}{h} -b_1= -b_1 + b_1 + b_2[/tex]
[tex]\frac{2A}{h} -b_1= b_2[/tex]
[tex]b_2 = \frac{2A}{h} -b_1[/tex]
From the list of options, there is only one answer
I NEED HELP ASAP!!!!!!!!!!!!!!!
Answers
Please help 30 points
A recursive definition of an arithmetic sequence is shown below.
a = 7
an = an-1 + 3
Which of the following expressions represents the nth term of this sequence?
A. Ont3
B.
3n + 4
C.O3n +7
D.O7n +3
Answers
Let P(–2, 5) and Q(–5, 9). The component form of Vector P Q is . The magnitude of Vector P Q is . To the nearest degree, the direction angle of Vector P Q is . If Vector P Q is multiplied by the scalar –10, the new vector will be the original vector.
Answers
Answer:
Let P(–2, 5) and Q(–5, 9).
The component form of Vector P Q is – 3, 4
The magnitude of Vector P Q is 5
To the nearest degree, the direction angle of Vector P Q is 127º
If Vector P Q is multiplied by the scalar –10, the new vector will be in the opposite direction but longer than the original vector.
Answer:
Step-by-step explanation: