Answer:
This is because it helps us factorize the polynomial more easily.
Step-by-step explanation:
The remainder theorem which states that if P(x) is a polynomial and x - a is a linear factor, then the remainder when P(x) is divided by x - a is P(a). When P(a) = 0, then x - a is a factor of P(x).
So, the remainder theorem is used to determine whether a linear binomial is a factor of a polynomial because it helps us factorize the polynomial more easily.
When the polynomial is divided by the linear factor, we obtain a polynomial of lesser degree which can then be further factorized to obtain all the factors of our initial polynomial.
The remainder theorem is used to determine the factors of a polynomial, and also to determine the remainder of a polynomial when it is divided by a linear binomial
A linear binomial is represented as:
[tex]\mathbf{f(x) = mx \pm c}[/tex]
Where n and x are both constants
A polynomial is represented as:
[tex]\mathbf{P(x) = ax^n +......+d}[/tex]
Assume the linear binomial is:
[tex]\mathbf{f(x) = x - c}[/tex]
If f(x) is a factor of P(x), then by the remainder theorem, the following must be true
[tex]\mathbf{P(c) = 0}[/tex]
This is so, because it allows factorization to be done with ease.
However, if [tex]\mathbf{P(c) \ne 0}[/tex]
Then, f(x) is not a factor of P(x)
Read more about remainder theorem at:
https://brainly.com/question/13416073
Pls help question is in the picture
Answer:
[tex]135 + 4x + 5x = 180 \\ 9x = 180 - 135 \\ 9x = 45 \\ x = \frac{45}{9} \\ x = 5[/tex]
Angle A will be
[tex]5 \times 5 = 25[/tex]
=25°
Billy walks 1/2 of a mile in 1/3 of an hour.
What is Billy's walking speed?
Plz help- Joshua is traveling 15 miles an hour slower than Micale. Micale is traveling n miles an hour. Write an expression to describe how fast Joshua is traveling.
Answer: n-15
Step-by-step explanation: This is because since he is going 15 miles slower than Micale, your write n-15
Answer:
n-15
Step-by-step explanation:
We don't know how fast Micale is traveling, so we use "n". If Joshua is traveling at 15 mph less than Micale, but we don't know how fast Joshua is going, we use n-15.
hope it helps! :3
In ΔRST, the measure of ∠T=90°, TR = 18 feet, and RS = 44 feet. Find the measure of ∠R to the nearest degree.
pls help!!
Answer:66
Step-by-step explanation:
66
Anne, Scott and Beth won $300 in a lottery. The jackpot will be divided among them based on their money they put towards the ticket. Thus, Anne should get 30% of the jackpot and Scott gets 1/4 of the winnings. How much money should Beth get?
Answer: Beth should get $135
Step-by-step explanation:
Money won in the lottery by Anne, Scott and Beth =$300
Amount necessary for Anne = 30% X 300
=$90
Amount necessary to Scott =1/4 X 300
=$75
Therefore Beth should get the remainder=Total money won -(Amount necessary to Anne and Scott)
=$300-(90+75)
=$300-$165
=$135
Help with this it’s due today !
Answer: have you ever heard about dividing dude.
you divide a number to that number here ok ill give you 4 answer's ok for number 1= 1.17122 and for number 2= 1.58125 number 3= 1.322581 number 4= 1.386 ok ill give you all number 5= 1.236364 number 6= 1.681818
HELLOOOOOO EVERYONE
HELP MEEEEE PLSSSSSS
Answer: I believe it is the X axis. <3
Step-by-step explanation:
What's special about graphs that have a < 0?
Answer:
the graph crosses or touches the x-axis
Step-by-step explanation:
ʕ•ᴥ•ʔ
For males in a certain town, the systolic blood pressure is normally distributed with a mean of 110 and a standard deviation of 10. What percentage of males in the town that have a systolic blood pressure between 113 and 134, to the nearest tenth?
Answer:
37.4
Step-by-step explanation:
Tell how many edges each solid figure has:
Answer:
1. 12
2. 0
3. 9
Step-by-step explanation:
help with tape diagram HURRY
Answer:
5+2x=19
Step-by-step explanation:
there's 3 parts to the diagram and so the equation would be 5+x+x=19 combine like terms and you get 5+2x=19
Answer:
a) 5+x=19
COLLECT LIKE TERMS
x=19-5
x=14
b)5x=19
DIVIDE BOTH SIDES BY 5
5x/5=19/5
x=3.8
c)5-x=19
COLLECT LIKE TERMS
-x=19-5
-x=14
d)5+2x=19
COLLECT LIKE TERMS
2x=19-5
DIVIDE BOTH SIDES BY 2
2x/2=14/2
x=7
Three subtracted from x is greater than -25.
if the question is asking what is X then the answer is
X - 3 >-25
X >-25+3
X >-22
What is the area of a circle, rounded to the nearest tenth, with a
diameter of 12 centimeters?
Answer:
113
Step-by-step explanation:
area of a circle is 3.14*r^2
r=d/2 r=6
3.14*36=113
Which equation has solution x = -3? *
2x - 7 = -1
3x + 8 = 1
1/2x + 8 = 10
1/2(2x - 6) = -6
Please help me
Answer:
1/2(2x-6)= -6
Step-by-step explanation:
Multiply the two sides by the equation 2
2x-6=12
move the constant to the right hand side change sign
2x = -12 + 6
calculate the sum
2x= -6
Divide the 2 sides by 2
x= -3
Help pls will give points
Answer:
the answer is D) 8
Step-by-step explanation:
because when ½ inch × 8 it will become 4 inch
Erin is making lemonade, She needs 12 cups
of white sugar to make 8 cups of lemonade.
She has a 32 cup pitcher to fill. How many
cups of sugar will she need?
Answer:
48 cups of sugar.
Step-by-step explanation:
12 cups of sugar for 8 cups of lemonade then I let 32 cups of lemonade corresponding with x cups of sugar, then 12/8 = x/ 32, then 8x = 32 * 12, then solve for x get 8x = 384, x =48.
Answer:
32÷8= 4 cups of sugar...........
find the slope of 12x-3y=6
Answer: 4
Step-by-Step Explanation: When written in slope-intercept form, the equation becomes y = 4x - 2; the basic structure of this formula is y=mx+b, where m is the slope and b is the y-intercept.
Knowing this information, we can also figure out the slope and y-intercept. 4, or m, is the slope of the proposed line.
- Select all expressions that are equivalent to -96x + 120.
A. 8(-12x+15)
B. -12(8x-10)
C. -8(12x+15)
Answer:
A and B are equivalent to -96x + 120
Step-by-step explanation:
-96x + 120
A. 8 (-12x + 15)
8 * -12x = -96x
8 * 15 = 120
8 (-12x + 15) = -96x + 120
-96x + 120 = -96x + 120
Equivalent
B. -12 (8x - 10)
-12 * 8x = -96x
-12 * -10 = 120
-12 (8x - 10) = -96x + 120
-96x + 120 = -96x + 120
Equivalent
C. -8 (12x + 15)
-8 * 12x = -96x
-8 * 15 = -120
-8 (12x + 15) = -96x-120
-96x + 120 ≠ -96x - 120
Not Equivalent
This list gives the lengths of different leaves in centimeters. 7.5, 9.5, 9.0, 8.0, 7.5, 8.5, 7.5, 8.5, 9.5, 8.5, 9.0, 9.5, 8.0, 9.5, 8.0, 9.0, 9.0, 9.0 Create a line plot to display the data. To create a line plot, hover over each number on the number line. Then click and drag up to plot the data.
These are the answers! Let me know if you need the rest of the answers on the assignment.
Which word or phrase best clarifies the relationship between the claim and
the evidence?
Owning your own business can allow you more freedom than a typical
job. ______you may be able to schedule your work around other pursuits.
A meanwhile
B the first reason
C for example
D actually
Answer:
C
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Mackenzie invested $770 in an account paying an interest rate of 6.1% compounded continuously. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $1,830?
Answer: 14
Step-by-step explanation:
prism with a length of 2 yd, a widht of 4 yd , and a height of 5yd
Answer:
40 yd
Step-by-step explanation:
Rectangular prism formula:
A = lwh
A = (2)(4)(5)
A = 40
what are the benefit of an email for school student
Answer:
only can use the school computer cant log on any other phones.
Help please Geometry ( Special Right Triangles )
Just explain the 2nd one. Round to the nearest hundredth.
Answer:
Step-by-step explanation:
I hope you mean the second problem in the first row, not the second problem in the first column.
x = 15/√3
Helpppppp Meeee!!!!!!
Answer:
In 11 teaspoons, there are 53.9 milliliters.
Step-by-step explanation:
Since you know that one teaspoon is equal to 4.9 milliliters, to find the answer, you have to multiply 4.9 times the amount of teaspoons, or 11. Hence, the answer is 53.9.
Please like and mark brainliest!
Hope it helps!
A radio station tower was built in two sections. From a point that is 70 feet from the base of the tower, the angle of elevation to the top of the section is 28 degrees, and the angle of elevation to the top of the second section is 40 degrees. What is the height of the top section of the tower to the nearest tenth of a foot?
Answer:
21.5 feet
Step-by-step explanation:
d = Distance of the bottom of the tower to the point of observation
x = Height of the top section of the tower
a = Height of bottom section
b = Total height of tower
[tex]\tan28^{\circ}=\dfrac{a}{d}\\\Rightarrow a=d\tan28^{\circ}\\\Rightarrow a=70\tan28^{\circ}[/tex]
[tex]\tan40^{\circ}=\dfrac{b}{d}\\\Rightarrow b=d\tan40^{\circ}\\\Rightarrow b=70\tan40^{\circ}[/tex]
[tex]x=b-a\\\Rightarrow x=70\tan40^{\circ}-70\tan28^{\circ}\\\Rightarrow x=70(\tan40^{\circ}-\tan28^{\circ})\\\Rightarrow x=21.5\ \text{feet}[/tex]
The height of the top section of the tower is 21.5 feet.
omar tariq has a credit card that uses the unpaid balance method to compute the finance charge. His monthly periodic rate is 2.4% during his billing cycle he charged a total of of 256.28 and made payments totaling $350. If he has a finance charge of 18.28, find his (a) unpaid balance (b) previous balance and (c) his new balance
Answer:
(a) unpaid balance = $667.95
(b) Previous balance = $761.67
(c) his new balance = $683.98
Step-by-step explanation:
In the question, we are given the following:
Monthly periodic rate = 2.4%, or 0.024
Curren charges = $256.28
Total payment made = $350
Finance charge = $18.28
Therefore, we now proceed as follows:
(a) unpaid balance
This can be calculated as follows:
Unpaid balance = Previous balance + Current charges - Total payment made ................. (1)
Note that from part (b), Previous balance is equal to $761.67.
Substituting this and other values from the question into equation (1), we have:
Unpaid balance = $761.67 + $256.28 - $350 = $667.95
(b) Previous balance
This can be calculated as follows:
Previous balance = Finance charges / Monthly periodic rate = $18.28 / 2.4% = $18.28 / 0.024 = $761.67
(c) his new balance
This can be calculated as follows:
New balance = Unpaid balance * (1 + Monthly periodic rate) = $667.95 * (1 + 2.4%) = $667.95 * (1 + 0.024) = $667.95 * 1.024 = $683.98
Find the slope of a line that goes between points (2, 4) and (5, 7).
Answer:
Step-by-step explanation:
[tex]\frac{7-4}{5-2}=\frac{3}{3}= 1[/tex]
Answer:
the slope is 1
Step-by-step explanation:
It's given that a line passes through the points,
A = (2,4)
B = (5,7)
Clearly, we have to find the slope of the line.
Let, the slope of line is 'm'
We know that, if a line passes through two points (a,b) and (c,d) ,
Then, the slope of the line is given by formula,
Therefore, We get,
Hence, slope of line = 1
A middle school took all of its 6th grade students on a field trip to see a ballet at a theater that has 1600 seats. The students filled 77% of the seats in the theater. How many 6th graders went on the trip? Please Help
Answer:
You need to find 84% of 4200 to get the amount of students. First change the percent to a decimal, and multiply 0.84 x 4200.
There were 3528 total students at the theater.
If ABCD is dilated by a factor of 1/2 , the
coordinate of B' would be:
6
5
C
4
B
2
1
-54
43
2
10
1
2
3
4
w1
-2
A
D
B' = [?], [ D)
Enter
Answer:
The answer is -1,1
Step-by-step explanation: