Factor the expression given below. Write each factor as a polynomial in
descending order. Enter exponents using the caret (^).
125x^3+343y^3
Answer:
(5x + 7y)(25x² - 35xy + 49y²)
Step-by-step explanation:
125x³ + 343y³ ← is a sum of cubes and factors in general as
a³ + b³ = (a + b)(a² - ab + b³) , thus
125x³ + 243y³
= (5x)³ + (7y)³
= (5x + 7y)((5x)² - 5x(7y) + (7y)² )
= (5x + 7y)(25x² - 35xy + 49y²)
Lewis is saving for a down payment of $8,750 on a house. The initial amount of money he has saved is $250, and the amount of money he plans on saving every month is $340. To model the situation, he created this equation, where x represents the number of months and y represents the total amount of savings: y = 250 + 340x. Determine the missing steps and justifications.
Answer:
Steps have justified that;
y = $250 + $340x
Step-by-step explanation:
We are told Lewis is saving for a down payment of $8,750 on a house.
Now, the initial amount of money he has saved is $250, while the amount of money he plans on saving every month is $340.
Thus, if x represents the number of months and y represents the total amount of savings. It means that;
For x number of months, he saves; $340x
Now, the initial amount he saved is $250.
This means that the total amount he would have saved after x number of months is;
Total amount saved = Initial savings + Amount saved monthly after x number of months.
Now, total amount saved is denoted as y as given in the question, then we have;
y = $250 + $340x
Answer:
subtraction
y-250=340x
division
y-340=250x
Step-by-step explanation:
given : 2x+8=5x-13; prove x=7
Answer:
True
Step-by-step explanation:
The left side 22 is equal to the right side 22 , which means that the given statement is always true.
Step-by-step explanation:
If we want to prove that x is equal to seven, we should first solve the equation for x so:
2x + 8 = 5x - 13
We should first add 13 on both sides and subtract 2x from both sides:
2x + 8 + 13 - 2x = 5x - 13 + 13 - 2x
21 = 3x
We can then divide both sides by 3 to get:
x = 7
need help with this
Answer:
[tex]-5x^2-26[/tex]
Step-by-step explanation:
[tex](f\:o\:g)=f(g(x))\\\\f(g(x))=-5(x^2-5)-1\\\\=-5x^2-25-1\\\\=-5x^2-26[/tex]
what is the answer to this problem 1/3-9=14x-7-13x
Answer:
(1/3) - 9 + 7 = 14x - 13x
-5/3 = x
A baseball team won 20 games and lost 10 games. What percent of the games did the team win?
A. 333%
B. 50%
C.663%
D.200%
Answer:
c
Step-by-step explanation:
4x + 3 - 2x + 7 = 24
Answer:
x=7
Step-by-step explanation:
4x+3-2x+7=24
We move all terms to the left:
4x+3-2x+7-(24)=0
We add all the numbers together, and all the variables
2x-14=0
We move all terms containing x to the left, all other terms to the right
2x=14
x=14/2
x=7
Please help ASAP! Will give brainleist Thank you!
Answer:
b,d,e,g
Step-by-step explanation:
Owen made 60% of the shots he attempted during his hockey practice. He made 18 shots. How many shots did Owen attempt during his hockey practice?
Answer:
10.8 shots
Step-by-step explanation:
Owen made 60% of the shots he made, and he made 18 shots in total. Therefore, we would take 60% of 18. The answer we get is 10.8, but we can't have a part of a shot.
10x + 12 = [2+3(2x-4)+1]
Solve for x
Answer:
-21/4
Step-by-step explanation:
What is 0.00005 in standard form?
Answer:
0.00005 is in standard form.
Step-by-step explanation:
Q. Which of these graphs matches the equation y = -3x?
Answer: C
.......................
Answer: A
Step-by-step explanation:
Help fast I’ll give brainliest
Answer:
+45
Step-by-step explanation:
a deposit is a sum of money placed or kept in a bank account, usually to gain interest
Geom_CQA1_20-21
Question: 1-5
The endpoints of MN are located at M (-4, 4) and N (2,-2). What are the coordinates of the point P that divides MN such that MP : PN is equal to 2: 1?
(-3.5, 2.5)
(-2,2)
(-1, 1)
(0,0)
Answer:
The coordinates of the point P is (0,0)
Step-by-step explanation:
Here, we want to find the coordinates of point P which divides the segment MN in the ratio 2 to 1.
Mathematically, what we shall use here is the internal division formula;
The internal division formula is given as follows;
(x,y) = (nx1 + mx2)/(m + n) , (ny1 + my2)/(m + n)
From the question;
x1 = -4
x2 = 2
y1 = 4
y2 = -2
m = 2
n = 1
By substituting, we have;
(1(-4) + 2)2))/(1 + 2) , (1(4) + 2(-2))/(1+2)
= (-4 + 4)/3 , (4-4)/3
= (0,0)
Write 5.77 x 10 in standard form.
5.77 x 10–2
Answer:
The answer is 57.7 x.
Step-by-step explanation:
please please help me!!
Answer:
k=1
Step-by-step explanation:
because the intercept form, y=mx plus b the y intercept changes where the graph is positioned. the line has been translated down to the y intercept 1, therefore that is what k equals
Ian measures 9 kg of rice. One kilogram is approximately equal to 2.2 pounds. Which measurement represents the number of pounds of rice?
Answer:
19.8 poundsStep-by-step explanation:
9 kg x 2.2 pounds
1 kg
= 19.8 pounds
Answer:
19.8
Step-by-step explanation:
-1/2 = m -7/4
solve for m
Answer:
[tex]\boxed {m = \frac{5}{4}}[/tex]
Step-by-step explanation:
Solve for the value of [tex]m[/tex]:
[tex]-\frac{1}{2} = m - \frac{7}{4}[/tex]
-Switch sides:
[tex]m - \frac{7}{4} = -\frac{1}{2}[/tex]
-Add both sides by [tex]\frac{7}{4}[/tex] and the least common multiple of both [tex]2[/tex] and [tex]4[/tex] is [tex]4[/tex]. So, convert [tex]-\frac{1}{2}[/tex] to a fraction with denominator [tex]4[/tex]:
[tex]m - \frac{7}{4} + \frac{7}{4} = -\frac{1}{2} + \frac{7}{4}[/tex]
[tex]m = -\frac{2}{4} + \frac{7}{4}[/tex]
-Since both [tex]-\frac{2}{4}[/tex] and [tex]\frac{7}{4}[/tex] have the same denominator, then you would add the numerators:
[tex]m = \frac{-2 + 7}{4}[/tex]
[tex]\boxed {m = \frac{5}{4}}[/tex]
Therefore, the value of [tex]m[/tex] is [tex]\frac{5}{4}[/tex].
standard form of y=-3/2+7
Answer:
2y=11
Step-by-step explanation:
What is the value of b in this diagam?
A.12
B. 10.2
C.9
D.8
Answer:
We can't tell because we can't see the diagram.
Step-by-step explanation:
Could you link the diagram?
Answer:
Answers is D 8
Step-by-step explanation:
Factor the following polynomial
a^4 b^3-a^3b^4 +a^2b^5
Answer:
a^2 b^3 (b^2 - a b + a^2)
Step-by-step explanation:
Factor the following:
a^2 b^5 - a^3 b^4 + a^4 b^3
Hint: | Factor common terms out of a^2 b^5 - a^3 b^4 + a^4 b^3.
Factor a^2 b^3 out of a^2 b^5 - a^3 b^4 + a^4 b^3:
Answer: a^2 b^3 (b^2 - a b + a^2)
PLEASE HELP ASAP! THIS IS DUE SOON! SHOW STEPS AND I WILL GIVE BRAINLIEST! A lot of points!
Raise these monomials to their given powers.
(5x2y3) to the power of 2 (x2 means x squared, y3 means y cubed)
(-4ax3) to the power of 3 (ax3 means ax cubed)
(-2m3n2t) to the power of 4 (2m3 means 2m cubed, n2 means n cubed)
(-a2bc3) to the power of 5 (-a2 means -a squared, c3 means c cubed)
Answer:
For the last one,it is -a^10b^5c^15
Step-by-step explanation:
When you raise monomials to a power, you multiply each thing inside the parenthases by the power you are raising it to. (-a^2bc^3)^5=(-a^5x3)(b^1x5)(c^3x5)=-a^10b^5c^15
Hope this Helps
Solve for x. Show each step and explain.
4.5(8-x)+36=102-2.5(3x+24)
Answer: x= -10
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
4.5(8−x)+36=102−2.5(3x+24)
(4.5)(8)+(4.5)(−x)+36=102+(−2.5)(3x)+(−2.5)(24)(Distribute)
36+−4.5x+36=102+−7.5x+−60
(−4.5x)+(36+36)=(−7.5x)+(102+−60)(Combine Like Terms)
−4.5x+72=−7.5x+42
−4.5x+72=−7.5x+42
Step 2: Add 7.5x to both sides.
−4.5x+72+7.5x=−7.5x+42+7.5x
3x+72=42
Step 3: Subtract 72 from both sides.
3x+72−72=42−72
3x=−30
You can do it from here
Can Someone please help me.
Answer:
22.2 OR 222
Step-by-step explanation:
Ahh sorry if you get it wrong, I know it is one of the two but Im not sure which one.
Marco needs to buy some dog food at the nearest store five bags of dog food cost $27 and 50 Cent how much would Marco spin on three bags of dog food
Answer:
16.5
Step-by-step explanation:
27.50/5 =5.5x3=16.5
WHAT IS THE DIFFERENCE BETWEEN A RELATION AND A FUNCTION?
Answer:
The Difference between a relation and a function is that a relation is a sett of "any" ordered pair. A function is a set of ordered pairs with only one value
High Hopes^^
Barry-
Answer:
Step-by-step explanation:
A relation is any set of ordered pairs. A function is a set of ordered pairs where there is only one value of \begin{align*}y\end{align*} for every value of \begin{align*}x\end{align*}
What is the square root of 81/100
A. 81/100
B. -9/10
C. 9/10
D.8/10
Answer: 9/10
Step-by-step explanation: I know this because 9 times 9 is 81 and 10 times 10 is 100.
+
Problem
Step 1
Step 2
Step 3
Step 4
Step 5
3(-4 + x) -5x = 7x + 15
-12 +3x -15x = 7x + 115,
-12 -12x + 12x = 7x + 12x +15
-12 = 19x + 15
-12 -15 = 19x + 15 -151
-27 = 19x
8
Step 6
x= - 1 19
Answer:
step 1
Step-by-step explanation:
i rly need plz help so plz help :/
Answer:
Step-by-step explanation:
Follow PEMDAS
P = parenthasees
E = exponents
M = multiplication
D = division
A = addition
S = subtraction
There are no P or E or M
so divide
-3 = h + 4
then we just subtract four on both sides
h = -7
Which of the following is a true statement?
The opposite of −45 is equal to the absolute value of −45.
The opposite of 45 is equal to the absolute value of −45.
The opposite of −45 is not equal to the absolute value of 45.
The opposite of 45 is equal to the absolute value of 45.
Answer:
The opposite of 45 is equal to the absolute value of -45.
Absolute value means switching to to a negative if it's a positive and if it's a negative to a positive. For 0, it remains 0 and doesn't switch to a -/+.
Answer:
The opposite of 45 is equal to the absolute value of -45
Step-by-step explanation:
Hope this helps!
