Answer:
Step-by-step explanation:
(a + b + c)³ = a³ + b³ + c³ + 3a²b + 3a²c + 3ab² + 3cb² +3 ac² + 3bc² + 6abc
a = 5a ; b =y ; c = z
(5x + y + z)(5z + y + z )(5z + y +z) = (5x + y +z)³
= (5x)³ + y³ +z³ + 3(5x)²y + 3(5x)²z + 3(5x)*y² + 3*z*y² + 3*5x*z² + 3*y*z² + 6*5x*y*z
= 125x³ + y³ +z³ + 3*25x²y + 3*25x²*z + 15xy² + 3zy² + 15xz² + 3yz² + 35xyz
= 125x³ + y³ + z³ + 75x²y + 75x²z + 15xy² + 3zy² + 15xz² + 3yz² + 35xyz
Solve the equations for x:
a−(a+b)x=(b−a)x−(c+bx), if b≠ 0
I need the answer for x if b≠ 0
Answer:
x=(a+c)/b
Step-by-step explanation:
a−(a+b)x=(b−a)x−(c+bx)
a-ax-bx=bx-ax-c-bx
-ax+ax-bx=-c-a
0-bx=-c-a
x=-(a+c)-/b
x=(a+c)/b and b≠ 0
Paul is riding his bike 48 miles to the beach. His average rate of speed is 13.8 miles per hour. Paul stopped for a snack after 3 hours. How many miles does he have to go after his snack? Round your answer to the nearest tenth if necessary.
Paul has 3.5 miles to go after his snack.
Paul has 6.6 miles to go after his snack.
Paul has 34.2 miles to go after his snack.
Paul has 45.0 miles to go after his snack.
Answer:
Paul has 6.6 miles to go after his snack.
Step-by-step explanation:
Speed is the rate of moving. The speed can be calculated by dividing the distance traveled by the amount of time it took.
speed= distance/time , v=d/t
So,from Paul's average speed we can calculate how much distance he has passed after 3 hours.
distance_3h=v*t=13.8 miles per hour * 3 hours
distance_3h=41.4 miles
There are total 48 miles to the beach, so Paul have to go 48miles-distance_3h after his snack, which gives:
48-41.4=6.6 miles
Rewrite the equation below so that it does not have fractions
2/3x-5=3/4
Answer:
Step-by-step explanation:
The best way to do this problem is to find the lowest common denominator.
2/3 : 3*2/(3*3)
3/4 : 3*3 / 3*4
Notice what you have done. You have multiplied both denominators by something that gets rid of the denominators, or will when you multiply by 4 * 3 = 12
So multiply the equation by 12
(2/3 x- 5 = 3/4 ) 12
8x - 60 = 9 Add 60 to both sides
8x - 60 = 9 Combine
8x = 69 Divide by 8
x = 69/8
x = 8 5/8
The graph represents the data cost for monthly Internet service for a cell phone.
On a coordinate plane, a graph titled Cell Phone Internet Service shows Gigabytes Used on the x-axis and Monthly Cost in dollars on the y-axis. A piecewise function has 3 lines. The 1st line has a closed circle at (0, 15), continues horizontally at y = 15, then has a closed circle at (2, 15). The 2nd line has an open circle at (2, 20) and then continues up to a closed circle at (6, 40). The 3rd line has an open circle at (6, 50) and then continues horizontally at y = 50.
Which function, C(x), represents the monthly cost in dollars in terms of x, the number of gigabytes used in a month?
C(x) = StartLayout enlarged left-brace 1st Row 1st column 15, 2nd column 0 less-than-or-equal-to x less-than-or-equal-to 2 2nd Row 1st column 5 x + 10, 2nd column 2 less-than x less-than-or-equal-to 6 3rd Row 1st column 50, 2nd column 6 less-than x EndLayout
C(x) = StartLayout enlarged left-brace 1st Row 1st column 15, 2nd column 0 less-than-or-equal-to x less-than 2 2nd Row 1st column 5 x + 20, 2nd column 2 less-than-or-equal-to x less-than 6 3rd Row 1st column 50, 2nd column 6 less-than-or-equal-to x EndLayout
C(x) = StartLayout enlarged left-brace 1st Row 1st column 15x, 2nd column 0 less-than-or-equal-to x less-than-or-equal-to 2 2nd Row 1st column 20 x + 5, 2nd column 2 less-than x less-than-or-equal-to 6 3rd Row 1st column 50 x, 2nd column 6 less-than x EndLayout
C(x) = StartLayout enlarged left-brace 1st Row 1st column 15x, 2nd column 0 less-than-or-equal-to x less-than 2 2nd Row 1st column 5 x + 10, 2nd column 2 less-than-or-equal-to x less-than 6 3rd Row 1st column 50 x, 2nd column 6 less-than-or-equal-to x EndLayout
Answer:
C(x) = 15 0 ≤ x ≤ 2
C(x) = 5x + 10 2 < x ≤ 6
C(x) = 50 x > 6
Step-by-step explanation:
Its A
Answer:
c
Step-by-step explanation:
The price of a cup of coffee was $2.40 yesterday. Today, the price rose to $2.55. Find the percentage increase.
Answer:
16 percent
Step-by-step explanation:
Answer:
Step-by-step explanation:
2.40÷2.55=94%
HELP WITH ANGLES AGain LOL
Parallel to the graph of y = 7x - 6 with y-intercept (0,3)
Answer:
The graph of the lines is given in the picture below:
Y=5x+b
how do i solve for B?
Answer:
Y=5x+b
y-5x=b
B= y-5x
hope this helps
Answer:
b = y-5x
Step-by-step explanation:
y =5x+b
Step 1- Cancelation minus or add the numeric first both side then variable numbers, then variables then exponents ^2 last.
In this case if we were asked to find x we would divide both sides by 5. But we are not asked that and instead asked to find b so we just apply and keep 5x together through add or subtraction.
For exponents we sqrt both sides. But this equation doesnt show any exponents so we stop at -5 each side.
y-5x=b
Step 2 - keep doing to isolate b we have no more to change other than reverse to show b first.
b = y-5x
Determine the type of triangle that is drawn below.
Answer:
scalene acute
Step-by-step explanation:
all the angles are lower than 90º
no two angles are the same
Which two numbers are 4 units from -2?
Answer:
-6 and 2
Step-by-step explanation:
look left and right on number line. count 4 places over going both ways
Solve. If this is no solution write s { }
5x-9>8+5x
Which polynomial represents the area of the rectangle? 3x-5= x+1
Answer: 3x² - 2x - 5
Step-by-step explanation:
The area of a rectangle is simply length * width. Thus, simply multiply them, and FOIL.
(3x - 5) (x + 1)
3x ^2 + 3x - 5x - 5
Combine like terms
3x² - 2x - 5
Hope it helps :) and let me know if you want me to elaborate.
Determine a series of transformations that would map polygon ABCDE onto polygon A’B’C’D’E’?
Answer:
1. reflection over y axis
2. dilation over the origin with scale factor of 3
Step-by-step explanation:
1. reflection about y axis
2. dilation over the origin (0,0) with scale factor of 3
Help stuck on this question
Answer:
Find the slope of the original line and use the point-slope formula: y−y1=m(x−x1 )
to find the line parallel to -> y = 6/7 x −2.
A: y = 6/ 7x−7
please help picture below
! ! ! Angles ! ! !
(worth ten points)
Which is the best explanation of why triangles ABC and ACD are similar?
A.) Both triangles are right triangles.
B.) Both triangles contain angles A and C.
C.) Both triangles a right angle and angle A.
D.) Both triangles contain a right angle and angle C.
Answer:
the answer is a :)
Step-by-step explanation:
why did lil uzi vert get a diamond in his head
Answer:
Because he thought it would make him stand out.
You ate 1/6 of a pizza and your brother eats 5/8 of the pizza .How much did your brother eat compared to you
Answer:
Subtract: 5/8 - 1/6 = 5 · 3/8 · 3 - 1 · 4/6 · 4 = 15/24 - 4/24 = 15 - 4/24 = 11/24
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(8, 6) = 24. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 8 × 6 = 48. In the following intermediate step, the fraction result cannot be further simplified by canceling.
In other words - five eighths minus one sixth = eleven twenty-fourths.
Question 1 (6 points)
If given the following situation;
At a fair, each person can spin two wheels of chance. The first wheel has the
numbers 1, 2, and 3. The second wheel has the letters A and B.
Explain how you know if this game of chance is based on simple or compound
probability.
Answer
im struggling too ;c
Step-by-step explanation:
write the equation
it passes through (-5,-7) and (-5,7)
Answer:
x = -5
Step-by-step explanation:
Find the gradient:
m = change in y ÷ change in xm = (7 - -7) ÷ (-5 - -5)m = 14 ÷ 0m = 0 - There is no gradient, and it is a vertical lineThe equation is x = -5, because in both co-ordinate pairs, the x is -5 - only the y changes
Hope this helps!
factor (x-3)²+4(x-3)
Answer:
[tex] {(x - 3)}^{2} + 4(x - 3) \\ = (x - 3)((x - 3) + 4) \\ (x - 3)(x - 3+ 4) \\ = (x - 3)(x + 1)[/tex]
(x - 3) is common factor
Imagine you are multiplying or dividing each term by the common factor
[tex] {(x - 3)}^{2} + 4(x - 3) \\ \frac{{(x - 3)}^{2}}{(x - 3)}+(x-3)4\frac{(x - 3)}{(x - 3)}\\(x-3)((x-3)+4)[/tex]
Paul had 9.35 ounces of water left in his water jug.
How do you write this number in word form?
Answer:
Nine and 35 hundredths of water
Step-by-step explanation:
Answer:
9.35 ---> Nine and thirty-five hundredths
-4x + 2x + 3x + 8
Asap
Answer:
x + 8
Step-by-step explanation:
1. To simplify this expression, we have to combine like terms.
(-4x + 2x + 3x) + (8)(-2x + 3x) + (8)x + 8Therefore, the answer is x + 8.
Estimate the sum using front end estimation.
546+ 412
A) 900
OB) 950
OC) 960
OD) 1000
Answer:546 +412 Is 958
Step-by-step explanation:
I don't understand this question can someone help me with this please, please explain!! and thank you for the help!! If u dont know try your best :D
Answer:
The answer is B) 2/3x=5 and E) 6x-3+8=11.
Step-by-step explanation:
Basically, all we have to do is see which of the answer options contains an equal sign. So lets go from there:
Does A have an equal sign? We can see the plus sign, a coefficient, and a variable, but we don't have an equal sign, so A is not an equation.
What about B? Well, we can see an equal sign that is showing that two values of an expression equal each other, so yes, B is an equation.
What about C? Well, we can see the minus sign, a variable, and a coefficient, but there is no equal sign. Therefore C is not an equation.
What about D? Well, D has parenthesis, variables, coefficients, and a plus sign, but no equal sign. So no, D is not an equation.
Finally, is E and equation? Well, we can see that there are two values that are equal to each other as is shown by an equals sign. So yes, E is an equation.
*Had to replace so I could submit the answer
PLEASE HELP 20 points!
If you were to solve the following system of equations by using a matrix,
which of the following would be your coefficient matrix?
4x – 3y=7
x + 5y=13
Answer:
I believe it is C but it's good to double check
Step-by-step explanation:
Answer:
Step-by-step explanation:
b
Jorge has a standard deck of 52 cards and a six-sided number cube. What is the probability that he will draw a diamond from the deck of cards and roll a number greater than two? Write your answer as a simplified
The probability that Jorge draw a diamond from the deck of cards and roll a number greater than two is 2/39
Probability is the like likelihood or chance that an event will occur.
Probability = Expected outcome/Total outcome
If Jorge has a standard deck of 52 cards, the total outcome is 6
If Jorge draw a diamond card, the probability that he will draw a diamond card is 4/52 = 1/13
For a six-sided cube, the total outcome is 6. If he rolls a number greater than two, the expected outcome will be 4
The probability that he rolls a number greater than 2 is 4/6 = 2/3
The probability that Jorge draw a diamond from the deck of cards and roll a number greater than two is 1/13 * 2/3 = 2/39
Learn more here: https://brainly.com/question/15739237
need help with this one too
Answer:
Line P
Step-by-step explanation:
Right know, we only care about the "alternate" part, or which line the two angles are opposite off. We can see that Line P is between Angle 9 and 3, making it the transversal line and causing 9 and 3 to be alternating.
-Chetan K
Simplify.
15 20 24+20
Answer:
-5 divide by 28
Step-by-step explanation:
so the question supposed be " 15-20 divided by 2(4) + 20
15-20 which is also 15 + (-20)= -5
2(4)=8, 8+20=28
so it can simplify into -5 / 28
(hope it helps :)