Answers
Answer:
Step-by-step explanation:
What you are looking for is the simplification of f(x) divided by g(x). This can be easily accomplished with synthetic division. If we are dividig the quadratic by x - 1, we will use the fact that if x - 1 = 0, then x = 1. We will put that 1 outside the "box" and put the coefficients from the quadratic inside the "box" and do the division synthetically. The coefficients on the quadratic terms are 2, 1, and -3:
1 | 2 1 -3
___________
We begin by bringing down the first number, a 2, and multiplying it by the 1 in the box and putting the product up under the 1:
1 | 2 1 -3
2
2
Now we add down the column:
1 | 2 1 -3
2
2 3
Now multiply the 3 by the 1 outside the box and put that product up under the -3 and then add down that column:
1 | 2 1 -3
2 3
2 3 0
Because we have a 0 remainder, that means that the quadratic was evenly divisible by x - 1. What we have left is called a depressed polynomial. It takes on the x values at one degree lesser than what we started with. Namely, it will be 2x + 3.
2x + 3 is what we get when we divide the quadratic by x - 1. BUT because we started off with x - 1 in the denominator, even though we divided it away to simplify, we still have to take into account that the value of 1 makes the denomiator go to 0, which is never allowed in math.
So the answer you want is the first one!
Related Questions
The point R is halfway between the integers on the number line below and represents the number ____. (Use the hyphen for negative numbers and write the answer as a decimal, such as -6.4). Number line from negative 10 to positive 10 in increments of 1 is shown. In between the whole numbers, there should be a tick mark. Only the whole numbers are labeled. A point labeled R is placed halfway between the 3rd and 4th tick marks to the left of 0.
Answers
Answer: - 2.5
Step-by-step explanation:
Using the attached number line has reference, the distance between each integer on the number line attached is 1, and the numbers are ordered in ascending order from - 10 to + 10. The point R exists in between the point marked - 2 and - 3 respectively. This shows that that point R is a number between the two integers, a number greater than - 3 but less than - 2.
From the picture attached the blue dot sits directly at the midpoint between - 3 and - 2. Hence the position can be a obtained by averaging the two integers.
(-3 + - 2) / 2 = - 5/2 = - 2.5
what is the estimate of 14.8(20.7)
Answers
Answer:
306.36 is the answer
Step-by-step explanation:
Answer:
306.36
Step-by-step explanation:
hope it helps! x
Distance, Midpoint, Circles - What is the equation of the circle? WILL GIVE BRAINLIEST!
Answers
Answer:
(x-4)^2 + (y-3)^2 =8
Step-by-step explanation:
The midpoint of the diameter is (6+2)/2= 4, (5+1)/2 = 3
(4,3)
The radius is the distance from the midpoint to an endpoint
This is 2sqrt(8)
So the equation is
(x-4)^2 + (y-3)^2 =8
What is the best approximate of the square root of 50
Answers
Answer:7
Step-by-step explanation:
7^2 = 49 (or square root of 49 is 7)
8^2 = 64 (or square root of 64 is 8)
1. A system of equations is shown below. Find the solution by using substitution.
y = 3x - 2
y = x + 2
Answers
Answer:
x = 2
y = 4
or (2 , 4)
Step-by-step explanation:
Since both equations are equal to y we can substitute one of the equations to fill in the spot of y so that both equations are equal to each other with no y variable.
[tex]3x-2 = x+2\\[/tex]
Now we can solve x.
[tex]3x= x+4\\[/tex]
[tex]2x = 4\\[/tex]
x = 2
Now that we have solved for one variable we can plug this back into either equation and solve for y.
[tex]y = 2 + 2\\[/tex]
y = 4
Emily convinced her mom to buy a giant box of her favorite cereal. Her mom doesn't think the box will fit on their shelf. The volume of the box is 10,000cm^3 cubed. The base of the box is 25 cm by 10 cm.
Answers
Answer:
Complete question:
Emily convinced her mom to buy a giant box of her favorite cereal. Her mom doesn't think the box will fit on their shelf. The volume of the box is 10,000 cm^3 cubed. The base of the box is 25cm by 10cm.
How tall is the box of cereal?
Answer: 40cm
Step-by-step explanation:
Given that :
A box is normally in the shape of a cube
formula of volume of a cube;
We want to find the height(tallness)
Volume=LengthxWidthxHeight
Volume = 10,000cm^3
Base of box = 25cm by 10cm,
Base of box = Length × width
Therefore:
Length = 25cm, Width = 10cm
Volume = Lengh × Width × Height
10,000cm^3 = 25cm × 10cm × Height
10,000cm^3 = 250cm^2 × Height
Height = 10,000cm^3 ÷ 250cm^2
Height = 40cm
The nth term of an arithmetic progression is 2n+1 , the sum of 1st n terms of the Arithmetic progression is..
Answers
Answer:
First tale nth term and find relation of a , d, n
Try yourself
If f(x)= x2 + 7; Find x if f(x)= 23
Answers
Answer:
x = 4, -4
Step-by-step explanation:
f(x)= x^2 + 7
f(x) =23
23 = x^2+7
Subtract 7 from each side
23-7 = x^2 +7-7
16 = x^2
Take the square root of each side
±sqrt(16) = sqrt(x^2)
±4 = x
QUESTION 9 of 10: Your insurance company bills you $687.89 every 6 months for your premium payments. You decide to pay per month.
What is the monthly premium?
O a) $114,65
b) $120.66
c) $144.78
d) $687.89
Answers
Answer: $114.65
Step-by-step explanation:
From the question, we are told that a insurance company bills a customer $687.89 every 6 months for your premium payments.
Since the customer has decided to be paying per month, we divide the amount paid for the 6 months which is $687.89 divided by 6. This will be:
= $687.89/6
= $114.65
The person will pay $114.65 monthly
Answer:
114.65
Step-by-step explanation:
Work out (5*10^3) * (9 x 10^7)
Give your answer in standard form
Answers
Answer:
45×10^10
Step-by-step explanation:
try opening the brackets group and you get the answer
Determine the value of y.
A. 90
B. 60
C. 180
D. 45
(i need this rq)
Answers
Answer:
D. 45°
Step-by-step explanation:
Since the lines are parallel, 2y°=90° If you divide both sides by 2, y°=45°
Zoe mows lawns in the summer to earn extra money. She usually charges $15 per week, but she offers a special rate of $59.50 if a customer prepays for 5 weeks. How much does a customer pay for each week with the special rate? (Please enter your answer without units.) *
Answers
Answer:$11.90 each week for 5 weeks
Step-by-step explanation:
$59.50/5 = $11.90
If the pattern rule is defined by the equation `t = 6n`, where `t` is the term value and `n` is the term number, what is the one hundredth term?
Answers
Answer:
600
Step-by-step explanation:
Given
equation t = 6n
n is term number
we have to find 100th term.
Thus, term number is 100
substituting 100 in place of n in equation t=6n , we can find the value of 100th term
t = 6*100 = 600
Thus, 100th term is 600.
Calvin is using a 10 foot ladder to paint his house. If he leans the ladder against the
house so that it makes a 71° angle with the ground, how far up the house does the
ladder reach? Round to two decimal places.
Answers
Answer:
9.46 ft
Step-by-step explanation:
Law of sines
10/sin(90)=x/sin(71)
x=(sin(71)*10)/sin(90)
x=9.46
Prove that for any complex polynomial ^=−1,
the sum of the roots is zero. (Please state any theorem used).
Answers
Answer:
I dont get this ??
Step-by-step explanation:
salim had 24 homework problems he completed 12 problems during lunch then he completed 7 more after school
Answers
Answer:
So how many he has left to do???
I think Salim has to finish 5 more problems
Step-by-step explanation:
A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 5 large boxes and 3 small boxes has a total weight of 118 kilograms. A delivery of 2 large boxes and 12 small boxes has a total weight of 193 kilograms. How much does each type of box weigh?
Answers
Answer:
Large box = 31/2 = 15.5 kgs
Small box = 27/2 = 13.5 kgs.
Step-by-step explanation:
Let x be large box
Let y be small box
5x + 3y = 118
5x = 118 - 3y
x = 118/5 - 3/5y
2x + 12y = 193
2(118/5 - 3/5y) +12y = 193
y = 27/2 = small box
Large box
5x + 3(27/2)=118
x = 31/2 = large box
Which of the following are solutions to the equation below?
Check all that apply.
(4x-1)^2=11
Answers
Answer:
[tex]x=\frac{\sqrt{11}-1 }{4} , x=\frac{-\sqrt{11}-1 }{4}[/tex]
Step-by-step explanation:
Square root both sides:
[tex]4x - 1=\sqrt{11}[/tex] (There is supposed to be a ± sign but I couldn't do it on the equation thing)
[tex]4x=\sqrt{11}-1[/tex]
or
[tex]4x=-\sqrt{11} -1[/tex]
[tex]x=\frac{\sqrt{11}-1 }{4} , x=\frac{-\sqrt{11}-1 }{4}[/tex]
Answer:
PLEASE APPRECIATE IT
Step-by-step explanation:
Square root both sides:
4x - 1=\sqrt{11} (There is supposed to be a ± sign but I couldn't do it on the equation thing)
Solve for X
5x-5=9x+3
Answers
Move variable to the left-hand side and change its sign
5 x - 9 x - 5 = 3
Move constant to the right-hand side and change its sign
5 x - 9 x = 3 + 5
Collect like terms
- 4 x = 3 + 5
Add the numbers
- 4 x = 8
Divide both sides of the equation by 4
X = -2
And you answer is x = - 2
Answer:
x=-2
Step-by-step explanation:
To solve the equation, we want to find out what x is. In order to do this, we have to get x by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.
5x-5=9x+3
9x is being added to 3. The opposite of addition is subtraction, so subtract 9x from both sides.
5x-9x-5=9x-9x+3
5x-9x-5=3
-4x-5=3
5 is being subtracted from -4x. The opposite of subtraction is addition, so add 5 to both sides.
-4x-5+5=3+5
-4x= 3+5
-4x=8
x is being multiplied by 4. The opposite of multiplication is division, so divide both sides by -4.
-4x/-4=8/-4
x=8/-4
x= -2
Share 35 sweets in the ratio 4:3
Answers
number sweet is 35
we divided ratio =4x:3x
total = 4x+3x
7x= 35
= 35/7
x= 5
1 st part will be 4x = 4*5= 20 sweets.
2 nd part will be 3x = 3*5= 15sweets
11 12 13 14 15 16 17 18 19 20 TIME REMAINING 01:04:38 Jamal uses the steps below to solve the equation 6x – 4 = 8. Step 1: 6x – 4 + 4 = 8 + 4 Step 2: 6x + 0 = 12 Step 3: 6x = 12 Step 4: StartFraction 6 x Over 6 EndFraction = StartFraction 12 Over 6 EndFraction Step 5: 1x = 2 Step 6: x = 2 Which property justifies Step 3 of his work?
Answers
Answer:
Identity property of addition
Step-by-step explanation:
Given
Step 3: 6x = 12
Required:
Which property justifies Step 3 of his work
The property that justifies this step is the identity property of addition;
At step 2; the equation was
6x + 0 = 12
When 0 is added to any expression or number, the value of the number or expression remains unchanged.
So, when 0 is added to 6x on the left hand side of the equation, the value remains the same as follows:
So, 6x + 0 = 12 becomes
6x = 12.
This property is referred to as the Identity property of addition
Answer:
Identity property of addition
Step-by-step explanation:
Given
Step 3: 6x = 12
Required:
Which property justifies Step 3 of his work
The property that justifies this step is the identity property of addition;
At step 2; the equation was
6x + 0 = 12
When 0 is added to any expression or number, the value of the number or expression remains unchanged.
So, when 0 is added to 6x on the left hand side of the equation, the value remains the same as follows:
So, 6x + 0 = 12 becomes
6x = 12.
This property is referred to as the Identity property of addition
If jasmine gets $3.00 every time her song gets 1500 streams how much money would she have if she got 3 million streams
Answers
Answer:
$2000
Step-by-step explanation:
3,000,000/1500=$2000
Volume = 21 pi Find the value of the variable in the figure. Leave answers in the simplest form. a. 1 c. 5 b. 3 d. 7
Answers
Answer:
3
Step-by-step explanation:
(volume) 21 * pi = 65.9734457254
height =7
Cone = (1/3)πr²h, where r is the radius and h is the height.
V = Ah/3
What’s the sum for 1/6+square root 6
Answers
Answer:
1/6 +√6 = 2.6162
Step-by-step explanation:
Answer:
B:2.6161564...
Step-by-step explanation:
edge2020
Mrs. Meyer's soap is $3.99 for 12 ounces. What is the cost per ounce?
Answers
Answer:
It's about 33 cents per ounce. The exact answer would be 0.3325
Step-by-step explanation:
Answer:
0.33
Step-by-step explanation: i did it on a piece of paper
helppppppppp! i give brainliest !!!!!!
Answers
Answer:
7.5g salt, 10g yeast, 50ml oil, 450ml water.
3 lines are shown. A line with points T, R, W intersects a line with points V, R, S at point R. A line extends from point R to point Z between angle V R W. Angle V R T is (5 x) degrees and angle T, R, S is (25 x + 30) degrees.
In the diagram, what is the measure of AngleWRS?
Answers
Answer:
25 degrees
Step-by-step explanation:
The angle WRS for the given triangle will be ∠WRS = 25°.
What is an angle?An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.
The identical endpoint of the two rays—known as the vertex—is referenced as an angle's sides.
In another word, the angle is the measurement of the angular distance for example for linear motion we have a meter inch but for angular rotation, we don't have the measurement so the angle is useful to measure the angular rotation.
Given that the triangle has an angle as shown in the image
The angle TRW → 25x + 30 = 180 -5x
→ x = 5°
Now the angle WRS → 180 - ( 25x + 30)
∠WRS = 25° hence, the correct answer will be this.
For more about the angle
brainly.com/question/13954458
#SPJ6
IT'S URGENT, Help Me ASAP! PLEASEEEE
1) Write two linear inequalities
2) Draw and shade the graph
3) List two possible combinations of halls that can be rented for the workshops.
Answers
Answer:
1)
40x + 70y ≤ 280 (red on the graph)
100x + 120y ≤ 1200 (blue on the graph)
2) see attachment
3) x=5, y=1
40*5 + 70*1 ≤ 280. 270 ≤280
x=3, y=2
40*3 + 70*2≤280, 260 ≤ 280
I will be asking questions constantly to finish a class
Answers
Answer:
C
Step-by-step explanation:
so it has to go down,cross 0,-7, and then go up
y-axis is vertical
and since its a negative it would be in the lower quadrants
pls mark me brainliest
Which best describes the dimensions of a line?
1 . A line has zero dimensions because it represents a
2. A line has one dimension because it is made up of a
3. A line has two dimensions because it is made up of
4. A line has multiple dimensions depending on how ma
Answers
Answer: A line has one dimension because it is made up of a figure with no thiknes that extends infinitely in both directions.
Step-by-step explanation:
A line is a one-dimensional figure, it has no thickness.
For reference, point is zero dimesional, a plane is twodimensional.
Then the correct answer would be:
A line has one dimension because it is made up of a figure with no thiknes that extends infinitely in both directions.