Answer:
−r^3+r^2+r
Step-by-step explanation:
Let's simplify step-by-step.
r^2(r+1)−r(2r^2−1)
Distribute:
=(r^2)(r)+(r^2)(1)+−2r^3+r
=r^3+r^2+−2r^3+r
Combine Like Terms:
=r^3+r^2+−2r^3+r
=(r^3+−2r^3)+(r^2)+(r)
=−r^3+r^2+r
Sorry i could'nt help
answers for both boxes please
Answer:
(x,y)=(4,-1)Step-by-step explanation:
[tex]hope \: it \: helps[/tex]
Factor completely x3 + 7x2 + 3x + 21.help meeeee
Answer:
(x+7) (x^2+3)
Step-by-step explanation:
Add and subtract the second term to the expression and factor by grouping. Hope this helps!
solve the system of equations
4x - 3y = 8 and 2x + 5y = -9
I need a math genius’ help on this pls :)
Answer:
4x-3y=8
Simplifies to x=3/4y+2
2x+5y=-9
Simplifies to -5/2y+-9/2
Which equation has the slope of -2/7 and contains the point (5,-6)?
Answer:
i would go for B
Step-by-step explanation:
It took Sebastian 10 years to repay a loan of $30,000, paying $296.66 per month. Jana paid off a loan for the same amount at the same interest rate in 5 years by paying $545.75 per month. How much more did Sebastian pay in interest than Jana?
Answer:
$2,854.2
Step-by-step explanation:
For Sebastian
It took Sebastian 10 years to repay a loan of $30,000, paying $296.66 per month.
1 year = 12 months
10 years = x
Cross Multiply
x = 10 × 12 = 120 months
He pays $296.66 monthly
Hence, the total amount he paid in 10 years =
$296.66 × 120
= $35,599.2
The loan he took was $30,000.
Hence, the interest Sebastian paid on his loan = $35,599.2 - $30,000
= $5,599.2
For Jana
Jana paid off a loan for the same
amount at the same interest rate in 5 years by paying $545.75 per month.
1 year = 12 months
5 years = x
Cross Multiply
x = 10 × 5 = 60 months
He pays $545.75 monthly
Hence, the total amount he paid in 5 years =
$545.75 × 60
= $32,745
The loan she took was $30,000.
Hence, the interest Sebastian paid on his loan = $32,745 - $30,000
= $2,745
How much more did Sebastian pay in interest than Jana?
This is calculated as:
The interest Sebastian paid - The Interest Jana paid
= $5,599.2 - $2,745
= $2,854.2
Therefore, Sebastian paid $2,854.2 more than Jana
how do i solve this question?
Answer:
[tex]x = 18[/tex]
[tex]y = 6\sqrt{3}[/tex]
Step-by-step explanation:
Trigonometric Ratios
The ratios of the sides of a right triangle are called trigonometric ratios. The longest side of a right triangle is called the hypotenuse and the other two sides are called the legs.
Selecting any of the acute angles as a reference, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides as follows:
Cosine Ratio
[tex]\displaystyle \cos\theta=\frac{\text{adjacent leg}}{\text{hypotenuse}}[/tex]
Sine Ratio
[tex]\displaystyle \sin\theta=\frac{\text{opposite leg}}{\text{hypotenuse}}[/tex]
Consider the angle of θ=30°, then we can write:
[tex]\displaystyle \cos 30^\circ=\frac{x}{12\sqrt{3}}[/tex]
Solving for x:
[tex]x=12\sqrt{3}\cos 30^\circ[/tex]
Since:
[tex]\cos 30^\circ=\frac{\sqrt{3}}{2}[/tex]
Then:
[tex]x=12\sqrt{3}\cdot \frac{\sqrt{3}}{2}[/tex]
[tex]x = 18[/tex]
Now apply the sine:
[tex]\displaystyle \sin 30^\circ=\frac{y}{12\sqrt{3}}[/tex]
Solving for y:
[tex]y=12\sqrt{3}\sin 30^\circ[/tex]
Since:
[tex]\sin 30^\circ=\frac{1}{2}[/tex]
Then:
[tex]y=12\sqrt{3}\cdot \frac{1}{2}[/tex]
[tex]y = 6\sqrt{3}[/tex]
Answer:
[tex]x = 18[/tex]
[tex]y = 6\sqrt{3}[/tex]
solve for x.
3x - 8x + 2 = 17
X=
Answer:
-3
Step-by-step explanation:
3x-8x=17-2
3x-8x=15
-5x=15
-x=15/5
-x=3
x=-3
A survey asks the question: "Are you in favor of holding the Olympics in
Toronto, even though your taxes may increase?
A.question wording
B.undercoverage
C.response
D.nonresponse
E.voluntary response
Answer: Question wording
Step-by-step explanation i don’t know how but I just saw the answer to it and wanted to help you guys out.
what is the quotient 5 divided by 30
Answer: 6
Step-by-step explanation:
30÷5=6
Linda needs to have her car towed. Little Town Auto charges a flat fee of $75 plus $2 per miletowed. Write a function expressing Linda's towing cost, C, in terms of miles towed, x. Find thecost of having a car towed 14 miles.
The cost of having a car towed 14 miles is $103.
To express Linda's towing cost, C, in terms of miles towed, x, we can use the given information that Little Town Auto charges a flat fee of $75 plus $2 per mile towed.
The function for the towing cost, C, can be written as:
C(x) = 75 + 2x
Where x represents the number of miles towed.
To find the cost of having a car towed 14 miles, we substitute x = 14 into the function:
C(14) = 75 + 2(14)
C(14) = 75 + 28
C(14) = 103
Therefore, the cost of having a car towed 14 miles is $103.
To know more about cost click here :
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If you were serving pumpkin pie at your Thanksgiving dinner, how much pie would 8 guests receive? What about 4 guests? 2 guests?
Answer:
Step-by-step explanation:
if you serve all the pie to 8 guests.. then they would each get 1/8.. if you were able to cut it exactly the same.. but.. we all know that there is always one piece that is bigger and we all want that piece :P b/c pumpkin pie is good
1/8
1/4
1/2
respectively for each of the questions
Three years ago, Jolene bought $675 worth of stock in a software company. Since then the value of her purchase has been increasing at an average rate of 12 3 5 % per year. How much is the stock worth now? (Round each money calculation you make to the nearest cent.) The stock is worth $ now.
Answer:
= $963.65
Step-by-step explanation:
Value of stock = value of the stock at the time it was bought x ( 1 + average rate of increase)^number of years
$675 x [1 + (12 + 3/5% ) ]^3 =
$675 x ( 1 + 0.126)^3 = $963.65
Is 2x + 3 + 7x equivalent to the expression 3(3x + 1) ?
Answer:
Yes
Step-by-step explanation:
3(3x+1) = 9x+3
2x+3+7x = 9x+3
5. Adam spent half of his weekly allowance buying lunch. To earn
more money his parents let him shovel snow for $9.30.
What is his weekly allowance if he ended with $15.10?
What is the RANGE of this input/output table???
Answer:
yes
Step-by-step explanation:
What is the Pythagorean Theorem? Provide the equation and an explanation as to what it means.
Answer:
The Pythagorean Theorem is a squared + b squared = c squared. It is used to find out a side of a triangle if you already know the two others. C is always the H=hypotenuse, while the other two sides are a and b.
Answer: a^2+b^2 (factored) = c^2
Step-by-step explanation:
This only helps if you are solving for the hypotenuse.
use the quadratic formula to solve for x. 3x^2+9x+4=0
Answer:
x=−3/2 +1/6√33 or x=−3/2 + −1/6√33Step-by-step explanation:
Let's solve your equation step-by-step.
3x2+9x+4=0
For this equation: a=3, b=9, c=4
3x2+9x+4=0
Step 1: Use quadratic formula with a=3, b=9, c=4.
x=−b±√b2−4ac/2a
x=−(9)±√(9)2−4(3)(4)/2(3)
x=−9±√33/6
If m=3 and b=6 what is the correct slope intercept equation
Answer:y=3x+6
Step-by-step explanation:
Because the slope intercept equation is y=mx+b
7, 3, -1, -5, what is the sequence
Answer:
-4
Step-by-step explanation:
7-4=3
3-4=-1
-1-4=-5
Point O is the incenter of ΔABC.
Point O is the incenter of triangle A B C. Lines are drawn from the point of the triangle to point O. Lines are drawn from point O to the sides of the triangle to form right angles and line segments O Q, O R, and O S. Angle Q A O is (2 x + 6) degrees, angle O A S is (4 x minus 12 degrees), and angle Q B O is (3 x minus 15) degrees.
What is m Angle Q B O?
5°
9°
12°
24°
Answer: the answer is 12
Step-by-step explanation:
2x+6 =4x-12
-2x=-18
x=9
3(9)-15
27-15
12
This is the one i need help with help and explain
Answer:
Step-by-step explanation:
count all the full squares... 12
and add 1/2 a square for the angled one
12.5 :) or 12 1/2
Answer: 12.5 sq units
Step-by-step explanation:
Make two triangles (big and small triangle) and one rectangle. ( kinda like what's in the pic)
Area of big triangle:
b = 3 h = 3
1/2 x 3 x 3 = 4.5 sq units
Area of small triangle:
b = 2 h = 2
1/2 x 2 x 2 = 2 sq units
Area of rectangle:
l = 3 w = 2
3 x 2 = 6 sq units
Area of the figure: A. of rect. + A. of s. tri. + A. b. tri.
6 + 2 + 4.5 = 12.5 sq units
Can someone find "BC" for me plz?
Answer:
BC = 104
Step-by-step explanation:
By the SAS postulate, ΔBDA and ΔBDC are congruent, meaning that each of the corresponding sides are equal in length.
BD = BD
AD = CD
BA = BC
If we know BA = 21x - 1 and BC = 9x + 59, then we can set them equal to each other and solve for "x".
BA = BC
21x - 1 = 9x + 59
21x = 9x + 60 Added 1 to both sides
12x = 60 Subtracted 9x from both sides
x = 60/12 Divided both sides by 12
x = 5 Reduced fraction, solved for "x"
To find BC, substitute x = 5 into the equation for BC.
BC = 9x + 59
BC = 9(5) + 59 Substituted "x" for 5
BC = 45 + 59 Multiplied 9 and 5
BC = 104 Added, solved for BC
∴ BC = 104
What is the sum of (4s+3)+(2s+1)
Answer:
Step-by-step explanation:
4s+3+2s+1=6s+4
If the elevator ascends or GOES UP 80 meters, is
that represented by 80 or -80?
Answer:
80
Step-by-step explanation:
Please help, i took a picture of the question.
Answer:
1.125 m squared
Step-by-step explanation:
What are the correct answers?
Tell which number is greater.
37/50, 37%
Answer:
37/50
Step-by-step explanation:
because 37% is out of 100
Answer:
37/50
Step-by-step explanation:
as 37% means 37/100, when 37 is divided by a smaller number such as 50, the result will be greater.
Alice says that all the factors of 8 are even write down an example to show that Alice is wrong
Answer:
1 is a factor of 8
Step-by-step explanation:
1*8
Answer:
Step-by-step explanation:
1 x 8
A ladder rests 22 feet up the side of a building. If the base of the ladder is 20 feet away from the building, how tall is the ladder to the nearest hundredth?
Answer:
Length of ladder =L =15
Distance from wall = D =9
Height on wall = H =??
Pythagoras equation L*L = D*D + H*H
15×15= (9×9) + H×H
225-81 = 144 =HxH
H= 12 feet.
I am right or wrong
please check
Courtney needs to find 2,495 ÷ 48. In which place should she write the first digit of the quotient?
A. Ones
B. tens
C. Hundreds
D. Thousands
Answer:
Tens
Step-by-step explanation:
The 5 in 51 should be above the nine
Answer:
B.
Step-by-step explanation:
2,495 ÷ 48 is 51.97
the tens is the largest place value so thats where you would start
