The expression for the area of the base is x² – 2x – 9. Therefore, the correct answer is (C) x² – 2x – 9.
To use synthetic division, we first need to set up the divisor in the correct form. Since we are looking for the expression for the area of the base of the rectangular prism, we know that the volume of the prism is given by:
volume = (area of base) × (height)
We are given that the height is x + 4, and the volume is x³ + 2x² – 17x – 36. Therefore, we can write:
x³ + 2x² – 17x – 36 = (area of base) × (x + 4)
Now we can use synthetic division to find the expression for the area of the base. The divisor is x + 4, so we write:
-4 | 1 2 -17 -36
| -4 8 36
|-----------------
1 -2 -9 0
The last number in the bottom row is 0, which means that x + 4 is a factor of the polynomial. The other numbers in the bottom row give us the coefficients of the quotient polynomial. Therefore, we can write:
x³ + 2x² – 17x – 36 = (x + 4)(x² – 2x – 9)
So the expression for the area of the base is x² – 2x – 9. Therefore, the correct answer is (C) x² – 2x – 9.
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which statement describes an advantage to using tables
Area=? I have tried as much as i could
Answer:
2308.5
Step-by-step explanation:
Multiply and divide by 2
Answer:
243 in²
Step-by-step explanation:
How do we find the area of a parallelogram?
The area of a parallelogram is [tex]b*h[/tex], where b = base and h = height. We're given the base as 13.5 inches and the height as 18 inches.Solving
18 × 13.5243243 in²Solve the question :
5x > - 12
Answer:
x> -12/5
Step-by-step explanation:
Divide both sides (5x and 12) and re write
5x ÷ 5 > -12 ÷ 5
Thus the solution given above
Answer : x> - 12
5
divide both side by 5
x + ( 12/5 ) > 0
Which of the following are remote interior angles of Z1? Check all that apply.
6/
O A. 21
B. 2.
O C. 24
OD. 25
E 23
F. 26
Answer: The correct answer is A,D, and F
Step-by-step explanation:
The remote interior angles of ∠1 are ∠3 and ∠2
What are remote angles?The remote interior angles of a triangles are the two angles that are not adjacent to the exterior angle. The remote interior angles do not share the vertex of the exterior angle.
The angles inside the triangle that are opposite the exterior angle are referred to as remote interior angles. Remote interior angles, then, are those that do not share a triangle's vertex or corner with the outer angle.
Given data ,
Let the triangle be represented as ΔABC
Now , the measures of angles of ABC are
The measure of ∠A = ∠3
The measure of ∠B = ∠2
The measure of ∠C = ∠4
And , the exterior angle of the triangle is ∠1
So , angles inside the triangle that are opposite the exterior angle are referred to as remote interior angles.
The remote angles are ∠3 and ∠2
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Given m||n, find the value of x.
PLEASE ANSWER ASAP
WILL GIVE BRAINLIEST
Answer: 9x+19=10x+4 (corr <s, m||n)
x=15
Step-by-step explanation:
Write an inequality that represents the graph.
Answer:
y ≤ -x - 2
Step-by-step explanation:
the line is going down (negative slope) so that's why u have the negative it translated 2 units DOWN on the yaxis so that's why there is - 2 the line is SOLID so it's going to have the equal sign under it, if the line was dashed it would just be a regular sign fr example (<)the shading is BELOW the line so that means it's going to be LESS THAN OR EQUAL TO !!The inequality that represents the graph is y ≤ -x - 2
What is inequality?An inequality is a relation which makes a non-equal comparison between two numbers or mathematical expressions.
here, we have,
from the given graph, we get,
1. the line is going down (negative slope) so that's why u have the negative
2. it translated 2 units DOWN on the yaxis so that's why there is - 2
3. the line is SOLID so it's going to have the equal sign under it, if the line was dashed it would just be a regular sign fr example (<)
4. the shading is BELOW the line so that means it's going to be LESS THAN OR EQUAL TO !!
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What is the slope of the line that passes through the points (-4, -2) and (-4, -22)? Write your answer in simplest form.
Answer:
Your answer is: Undefined
Use the slope formula to find the slope m .
Step-by-step explanation:
Hope this helped : )
The slope of the line that passes through the points (-4, -2) and (-4, -22) is an infinite slope.
The slope of a line can be found using the formula below.
m = y₂ - y₁ / x₂ - x₁Therefore,
x₁ = -4
x₂ = - 4
y₁ = -2
y₂ = -22
Therefore,
m = -22 - (-2) / - 4 - (-4)
m = -22 + 2 / - 4 + 4
m = 20 / 0
m = infinity
The slope is an infinite slope.
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Based on the above table, which occupation listed is projected to have the greatest total number of jobs in 2016?
Answer:
Option c is correct that is Home health aides.
Step-by-step explanation:
Lenny bought an ice cream bar for $1.85 and an ice pop for $1.25. He gave the cashier $4.00. How much change should Lenny get back?
A) $0.20
B) $0.35
C) $0.75
D)$0.90
Answer:
it’s 0.90
Step-by-step explanation:you have to app the 1.85$ to the 1.25$ and then subtract the sum to the 4.00$ and then boom you got the answer <3!
Ms. Latouche goes shopping. She buys a sweater that normally costs $25.00, but today
there is a 15% off sale in the store. How much did Ms. Latouche pay for her new
sweater?
Answer:
$21.25
Step-by-step explanation:
When finding the amount from a percentage you move the decimal over twice in the percentage.
25 x 0.15 = 3.75
Then subtract what you get to find how much she spent:
25 - 3.75 = 21.25
Hope this helps!! :)
Can you help me please ?
True or False ?
a. 11+ (x+y) = 11 + x+ y
b. 7- (2x-3t)= 7-2x+3y
c. 2 (x + 4)= 2x +4
d. 5+7x=12x
e. -5 (x+9) = -5x-45
Step-by-step explanation:
a. 11 + x + y = 11 + x + y. True
b. 7 - 2x + 3y = 7 - 2x + 3y. True
c. 2x + 8 = 2x + 4. False
d. -5x - 45 = -5x - 45. True
C = b - a
a = 6 correct to the nearest integer
b = 15 correct to the nearest 5.
Can someone help please
#1 find the slope in the graph MULTIPLE CHOICE
Answer:
The answer is B m=-[tex]\frac{3}{2}[/tex]
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
up and over, in this case down and over, count the boxes going down from a point on the graph to another point, then count the boxes over
please answer the following and give a good explanation
Answer:
Step-by-step explanation:
1 matches with a (x - 2 = 2 to left and y + 2 = 2 up.)
2 matches with c. ( the x coordinates stay the same , y changes sign)
3 matches with e ( both coordinates are multiplied by 2)
4 matches to d.
5 matches to b (The point translate to the diagonally opposite quadrant so both the x and y coordinates change sign).
Topic : Translation and Reflection
Website:Mathswatch
Answer:
y= 2x+3
x=-2 , y= -1.
x= -1 , y= 1.
x= 0, y = 3.
x=1, y= 5.
x= 3, y= 9.
The translation is solved and the equation is y = 2x + 3
What are Linear Equations?An equation is said to be linear equation in two variables if it is written in the form of ax + by + c=0, where a, b & c are real numbers and the coefficients of x and y, i.e a and b respectively, are not equal to zero.
The linear equations in one variable is an equation which is expressed in the form of ax+b = 0, where a and b are two integers, and x is a variable and has only one solution
On a graph, a linear equation forms a straight line. On a graph, a nonlinear equation produces an S-curve, a bell curve, or another nonlinear shape.
Given data ,
Let the linear function be represented as A
Now , the value of A is
y = 2x + 3
when the input values of the equation are x = { -2 , -1 , 0 , 1 , 2 , 3 }
The output values are
when x = -2
y = 2 ( -2 ) + 3
y = -1
On simplifying , we get
y = { -1 , 1 , 3 , 5 , 7 , 9 }
Hence , the table of values are solved
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Find the value of x.
Answer:
35°
Step-by-step explanation:
There are 4 angles in quadrilateral which is equal to 360°. So...Add 100°, 110° and 80° and you will get 290°. Then, substract 290° from 360°. So you will get 70° which is Angle B. and then there's a straight line crossing the angle B. So divide with 2. You will get 35° which is equal to angle x because of the straight line.
Hope this help you.
You get tested at a gym to see how your physical fitness compares to others your age. This is an example of ___________. a. benchmarking b. standard deviation c. quality control d. peer pressure
The correct answer is A, as this is an example of benchmarking.
BenchmarkingBenchmarking describes a test procedure to compare the performance of devices, systems or organizations. It is a way for organizations to learn from each other, be accountable and facilitate supervision.
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A spinner is divided into five colored sections that are not of equal size: red, blue, green, yellow, and purple. The spinner is spun several times, and the results are recorded below:
Spinner Results
Color Frequency
Red 7
Blue 18
Green 5
Yellow 6
Purple 9
Based on these results, express the probability that the next spin will land on green as a decimal to the nearest hundredth.
Answer:
The probability that the next spin will land on green is 0.08 I could be wrong tho
The radius of a circle is 19 millimeters. What is the circle's area?
=19 mm
If you multiply two prime numbers, will the result be prime or composite?
Answer:
It can never be a prime number.
Step-by-step explanation:
This is because the product of the two prime numbers are divisible by those two numbers, therefore going against the definition of a prime number. For example 3 and 5 are prime numbers and their product is 15. 15 can be divided by 3 and 5 so it is not a prime number.
Hope this helps.
Combine the like terms to simplify the expression. 9x2 + 3y2 + 6y2 – x
9x²+9y²-x
Step-by-step explanation:Combining like terms
-9x is a different term than 9x^2 however 9x is like terms with x. Coefficients really are the only thing that are excused for like terms
Now with that out of the way,
1 - Rewrite
9x²+3y²+6y²-x
This step becomes more useful as you go on in algebra as organization will soon start to correlate how fast you complete problems correctly
2 - Find like terms
9x² does not have any like terms
+3y² is like terms with +6y²
-x does not have a like term
3 - Combine like terms
9x²+(3y²+6y²)-x
↓
9x²+9y²-x
Hope this helps :)
Solve 2x + 3y = 16
4x+10y = 40
Answer:
x = 5, y = 2
Step-by-step explanation:
First, find the value of x in respect to y:
2x + 3y = 16
2x = 16 - 3y
x = 8 - 3/2y
Then, substitute this expression into the second equation (Since we've established x is equal to 8 - 3/2y, we can put that in place of x):
4(8 - 3/2y) + 10y = 40
Then, distribute and solve for y:
32 - 6y + 10y = 40
32 + 4y = 40
4y = 8
y = 2
Now that we know what y equals, we can substitute the value of y in the equation to find x:
2x + 3(2) = 16
2x + 6 = 16
2x = 10
x = 5
PLEASE HELP!!!
Rewrite [tex]f(x)=|x|[/tex] as a piecewise function
hey
wanna be friends
What is the surface area of this design 5,8,4,8,4 inch
Answer:
Surface area is the sum of the areas of all faces (or surfaces) on a 3D shape. A cuboid has 6 rectangular faces. To find the surface area of a cuboid, add the areas of all 6 faces. We can also label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area.
Step-by-step explanation:
Answer:
Step-by-step explanation:
its 256in
Use the exchange rate £1 = $1.35 to convert $54 into £.
Answer:
£40
Step-by-step explanation:
If £1 = $1.35
To convert $ to £, divide $ by 1.35
⇒ $54 = 54/1.35 = £40
multi step equation 4x-2-2x=x-5
Step-by-step explanation:
4x-2-2x=x-5
2x-2=x-5
x-2=-5
x=-3
answer this get brainliest
Answer:
1.diameter
2.radius
3.chord
4.radius
5.radius
Barry wants to open a checking account. He wants online services, and a debit card. He is looking at the following tables of fees from his employer's credit union, EECU, and a local bank, E-town Bank:
A 4-column table with 5 rows. Column 1 is labeled E E C U with entries monthly fee, non-sufficient funds fee, second copy of statement, network A T M usage, online services and debit cards. Column 2 is labeled Fee Table with entries 0 dollars, 28 dollars, 2 dollars, 2 transactions per month free after that 2 dollars each, free. Column 3 is labeled E-town Bank with entries monthly fee, non-sufficient funds fee, replacement statement copy, Network A T M usages, online services and debit cards. Column 4 is labeled Brief schedule of common fees with entries 2 dollars and 50 cents, 30 dollars, 5 dollars, 2 dollars each, free.
Based upon past experience, Barry expects no overdrafts. He expects no 2nd copies of statements. Barry estimates that he will use network ATMs about 5 times a month with either bank. Barry decides in the end to choose EECU. Assuming that both banks provide the necessary services equally well, and based upon the tables of fees given above, how much can Barry reasonably expect to save annually by choosing EECU in this case over E-town bank?
a.
$72
b.
$78
c.
$144
d.
$24
Answer:
i just want these points
Step-by-step explanation:
At a point 153 feet from the base of a building the angle of elevation to the top of the building is 56 degrees. From the same point, the angle of elevation to the top of the flagpole on top of the building is 61 degrees. How tall is the flagpole? (nearest whole number)
Check the picture below.
Make sure your calculator is in Degree mode.
Write an equation for a line that contains the point (-2,7) and is
parallel to y = 6x - 13. *
Answer:
6x+19
Step-by-step explanation:
Since it is parallel it is has the same slope. So, make it 6x+b. After doing this, plug in the coordinates and you would get b=19. Hope it helps u :)