Is (x+2) a factor of f(x) = x3-7x2+2x-8? Use either remainder theorem to explain your reasoning
Answer:
No
Step-by-step explanation:
If (x + h) is a factor of f(x) then f(- h) = 0
Here (x + 2) with h = - 2 , then
f(- 2) = (- 2)³ - 7(- 2)² + 2(- 2) - 8
= - 8 - 7(4) - 4 - 8
= - 8 - 28 - 12
= - 48
Since f(- 2) ≠ 0 then (x + 2) is not a factor of f(x)
Show and explain how you found the answer to this problem. Marion read 616 pages in 14 days. If she read the same number of pages each day, how many pages did she read each day?
Based on the number of pages read and the time it was read in, the number of pages read per day was 44 pages.
Marion read 616 pages and did this in 14 days.
She read the same number of pages each day so the number of pages read per day was:
= Number of pages read in total / Number of days
= 616 / 14
= 44 pages
In conclusion, she read 44 pages per day.
Find out more about divisional problems at https://brainly.com/question/13417862.
if the nth term is 6-2n^2 what is the 4th term?
Answer:
a₄ = - 26
Step-by-step explanation:
Substitute n = 4 into the nth term formula
a₄ = 6 - 2(4)² = 6 - 2(16) = 6 - 32 = - 26
Which inequality is displayed on the number line?
Simplify.
2x + 6x2 - 10 + 4x2 - 3x + (-6) =
Answer:
10
x
2
−
x
−
16
re written: 10x2−x−16
Step-by-step explanation:
Answer:
The simplified answer is [tex]10x^2-x-16[/tex]
Step-by-step explanation:
[tex]2x+6x^2-10+4x^2-3x-6[/tex]
[tex]= 2x+6x^2+-10+4x^2+-3x+-6[/tex]
[tex]Combine[/tex] [tex]Like[/tex] [tex]Terms:[/tex]
[tex]= 2x+6x^2+-10+4x^2+-3x+-6[/tex]
[tex]=(6x^2+4x^2)+(2x+-3x)+(-10+-6)[/tex]
[tex]= 10x^2+-x+-16[/tex]
As a final result, the answer is [tex]10x^2+-x+-16[/tex].
Therefore, [tex]10x^2+-x+-16[/tex] is the answer.
Hope this helps!
Have a nice day/night/afternoon.
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A beach ball has a diameter of 18 inches. What is the approximate volume, rounded to the nearest whole number, of the inflated beach ball?
Answer:
3,052 cubic inches
Step-by-step explanation:
·· A beach ball has a spherical shape
·· Formula to calculate the volume of a sphere is given as:
In the question, we are given
Diameter = 18 inches
We have to find the radius
Radius = Diameter/2
Radius = 18 inches/2
Radius = 9 inches
The volume of the beach ball =
= 3,052.08 cubic inches
Approximately to the nearest whole number = 3,052 cubic inches
How many different terms are in the expression? 28s + 3t+ 6b + 21f
Answer:
4
Step-by-step explanation:
In math, the word difference is the result of subtracting one number from another. It refers to the difference in quantity between two numbers. In math, we get the difference between two numbers by subtracting the subtrahend (the number being subtracted) from the minuend (the number being subtracted from).
Evalute the expression X=6 y=-4 -3y+x
Answer:
y= 1/2
Step-by-step explanation:
y=-4 -3y+x
<=> y + 3y = -4 + x
<=> 4y = -4 + 6
<=> 4y = 2
<=> y = 1/2
What is 7/4+2/3
I can’t find the answer pls help
Answer:
2.41666666667
Step-by-step explanation:
2.41666666667 is the answer because of the additon. Just convert it.
2.41666666667 as a fraction equals 241666666667/100000000000.
Answer:
7/4 + 2/3 = 2 5/12
Step-by-step explanation:
What is 7/4 plus 2/3?
FractionCalculator
It can sometimes be difficult to add fractions, such as 7/4 plus 2/3.
But it's no problem! We have displayed the answer below:
7/4 + 2/3 = 2 5/12
How did we solve the problem above? When we add two fractions, such as 7/4 + 2/3, we make sure that the two denominators are the same and then we simply add the numerators.
In cases where the denominators are not the same, we find the lowest common denominator and adjust the fractions to keep them.
What is the equation 5x+6y=18 equal
Answer:
y = -5/6x + 3
Step-by-step explanation:
Katie buys a large pizza for $14.99 and bottles of soda for $1.50 each. If the total cost was $23.99, how many bottles of soda (b) did she buy
The number of soda bottles Katie bought is 6
The given parameters are:
Large Pizza = $14.99Soda = $1.50 per bottleTotal cost = $23.99Assume the number of soda bottle is x.
So, we have:
[tex]Total = Pizza + Soda \times x[/tex]
This gives
[tex]23.99 = 14.99 + 1.50\times x[/tex]
Subtract 14.99 from both sides of the equations
[tex]9 = 1.50\times x[/tex]
Divide both sides of the equations by 1.5
[tex]6=x[/tex]
Rewrite the equation as
[tex]x = 6[/tex]
Hence, the number of bottles is 6
Read more about linear equations at:
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55) Carl spent 25% of his money for some presents. What percent
did he have left?
Answer:
75%
Step-by-step explanation:
In total it was 100%, but he spent 25%.
100% - 25%=75%
a
Aiden and his parents are looking at what cell phone plan is the best deal financially.
Cherokee Cell company quoted them a base price of $20 a month plus $2 per text
message. The second store that Aiden and his family visited was Warriors Wifi. They
charged $80 a month plus $0.50 per text message. Based on this information, what is
the better deal for Aiden and his family if Aiden plans on sending 175 text messages a
month and why?
O Cherokee Cell is the better deal because it will cost $70 for 25 texts.
Cherokee Cell is the better deal because it will cost $167.50 for 175 texts.
O Warrior Wifi is the better deal because it will cost $167.50 for 175 texts.
Warrior Wifi is the better deal because it will cost $70 for 25 texts.
Answer:
Warrior WiFi is better because it costs 167.50 for 175 texts.
Step-by-step explanation:
2x175 = 350 + 20 = 370
0.50x175 = 87.5 + 80 = 167.5
ABCD is a square. DEF is an equilateral triangle. Work out the size of the angle labelled d°.
Answer:
95
Step-by-step explanation:
Hope this helps :)
Merry Christmas. Have fun.
The size of ∠CDE labelled d° = 95° Given,
What is an angle?An angle is formed when two straight lines or rays meet at a common endpoint. The common point of contact is called the vertex of an angle.
Given,
In triangle DAF
∠DAF = 25°
∠DFA = 40°
Sum of all interior angles is 180°
∠DAF + ∠DFA + ∠ADF = 180°
25° + 40° + ∠ADF = 180°
65° + ∠ADF = 180°
∠ADF = 180° - 65°
∠ADF = 115°
Triangle DFE is equilateral
∠FDE = 60°
ABCD is an square
∠CDA = 90°
Now,
∠CDA + ∠ADF + ∠FDE + ∠CDE = 360°
90° + 115° + 60° + d° = 360°
d° = 360° - 265°
d° = 95°
Hence, 95° is the size of ∠CDE labelled d°.
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5 1/4 - 2 2/3 in fraction form
Answer:
6 1/10 (6.1)
Step-by-step explanation:
2 3/5 + 3 1/2 (2.6 + 3.5= 6.1)
2 6/10 + 3 5/10
5 11/10
6 1/10 (6.1)
Given that Ax - 4x² + 3x² + 4 = (x² - 2x + 1)(2x² + B) + C(x-1) + D for all values of x, evaluate A, B, C and D. Hence, deduce the remainder when Ar-4x+3x²+4 is divided by 2x² + B.
SANA MAKATULONG
#CARRYONLEARNING
Combine the following expressions
2√18x^3 - 3√8x^3
A. -√x
B. 0
C.√x
This is what I have but it doesn't match with your answers
three african elephants can weigh a total of 13,500 pounds. at this rate, how many do 2 african elephants weigh?
Answer:
Step-by-step explanation:
13500/3 = 4500
4500 x 2 = 9000
Jacob has 4 reams of paper. Each ream of paper has 250 sheets of paper.
He will take the paper and make booklets. Each booklet will use 8 sheets of
paper What is the greatest number of booklets Jacob can make with this
amount of paper?
A 262
B. 125
C 1,008
D. 575
1 ream = 250 papers
=> 4 reams = 250 x 4=> 4 reams = 1000 papers.1 booklet = 8 papers
=> 1000 ÷ 8 = x booklets=> 125 bookletsConclusion:Therefore, with 4 reams of paper, Jacob will be able to create 125 booklets.
Hoped this helped.
[tex]-BrainiacUser1357-[/tex]
Rosy went to the shoe store and counted 324 pairs of shoes. She went to another shoe store and counted 236 pairs. How many shoes did Rosy count in total.
Answer:
560
Step-by-step explanation:
Rosie counts 324 + 236 shoes
Let's start by separating each number into hundreds, tens, and ones
300, 20, 4
200, 30, 6
Then, we can add up each section
300 + 200 = 500
20 + 30 = 50
4 + 6 = 10
Finally, we can add up the sections
500 + 50 + 10 = 560
Solve if x is equal to 4. y = 2x
What is the answer please help
Calculate the volume of cylinders with the following dimensions ( 22/7).
(b) Diameter of the base = 84 cm, height = 1.5 m
Step-by-step explanation:
Volume of a cylinder=
[tex]\pi \: {r}^{2} h[/tex]
Radius=84÷2=42
Volume=22/7×42²×150=831 600 cm³
Does this graph represent a function? Why or why not
Answer:
C
Step-by-step explanation:
It passes the horizontal line test
Answer:
B. yes, it passes the vertical line test
Step-by-step explanation:
A vertical line intersects the graph in at most 1 place. That test passes, so the graph represents a function.
_____
A function maps any given x-value to only one y-value.
What is the common denominator of y StartFraction y minus 3 Over 3 EndFraction in the complex fraction y StartFraction y minus 3 Over 3 EndFraction divided by five-ninths StartFraction 2 Over 3 y EndFraction?.
The common denominator of the given expression is [tex]5y+6.[/tex]
Given expression,
[tex]\dfrac{y+\frac{y-3}{3} }{\frac{5}{9} +\frac{2}{3y} }[/tex].
We have to find the common denominator.
On solving the numerator and denominator of the given expression,
[tex]\dfrac{y+\frac{y-3}{3} }{\frac{5}{9} +\frac{2}{3y} }= \dfrac{\frac{3y+y-3}{3} }{\frac{5y+6}{9y} }[/tex]
[tex]= \dfrac{\frac{4y-3}{3} }{\frac{5y+6}{9y} }[/tex]
[tex]= \dfrac{4y-3}{3} \times\dfrac{9y}{5y+6}[/tex]
Or,[tex]\dfrac{y+\frac{y-3}{3} }{\frac{5}{9} +\frac{2}{3y} }= \dfrac{3y(4y-3)}{5y+6}[/tex]
Hence the common denominator of the above expression is given by [tex]5y+6.[/tex]
For more details follow the link:
https://brainly.com/question/357568
Answer:
Not A 3y(y – 3)
Not B y(y – 3)
it is either C 3Y or D 3
Which of the following is a reason to establish a good credit history?
4square plus 2power of xdivide by 2 equal to 16 what is the answer of this question
Answer:
[tex]x=4[/tex]
Step-by-step explanation:
We can solve this question by understanding what is first says. The expression tells us 4 square which is 16 plus to to the power of x and all that divided by two: [tex]16+2^{x} / 2 = 16[/tex]
Now we can solve for x:
1. [tex]16 + 2^{x} = 32[/tex]
2. [tex]2^{x}=16[/tex]
3. [tex]x=4[/tex]
can someone please help me with this
Answer:
cogratulation you're the best math
Help a girl out pls!!!
Answer: AA Similarity
Step-by-step explanation:
Since both shapes have two corresponding angles that are congruent, AA similarity is applied here.
(ii) The probability the tiles are both the same colour is 16 45 Show that x2 - 6x + 5 = 0.
Answer:
i think probably x = 1 or 5
Step-by-step explanation:
x²-6x+5 =0
so (x-1)(x-5) = 0
so x = 1 or 5