Answer:
Once an expression has been factored, use the Distributive Property to expand the expression. The expanded expression should be the original expression.
Step-by-step explanation:
The distributive property for any binary operation Ф under * in the given set S where a, b, c ∈ S
The binary operation a * (b Ф c) = (a * b) Ф (a * c) .
The operation * distributes over the operation Ф.
Now, when factoring, suppose we have an expression ab + ac. To factor this, we have a(b + c).
To check that our answer is correct, since the expression has been factored, we then distribute the multiplication over the addition to check if the factorization is correct.
So, a(b + c) = ab + ac which is our initial expression.
So, to use the distributive property to check work when factoring, once an expression has been factored, use the Distributive Property to expand the expression. The expanded expression should be the original expression.
The way to use the Distributive Property to check your work when factoring is;
Option D; Once an expression has been factored, use the Distributive Property to expand the expression. The expanded expression should be the original expression.
The distributive property in algebra is expressed as; a(b + c) = ab + ac
Now, to use the distributive property to check the work when factoring, we have to expand the factored form first.
For example, we have; 2(3 + 4)
From distributive property, we have;
(2 × 3) + (2 × 4) = 14
This should be the same with the original factored expression; 2(7) = 14
Thus, the method is Once an expression has been factored, use the Distributive Property to expand the expression. The expanded expression should be the original expression.
Read more about distributive property at; https://brainly.com/question/2807928
PLEASE HELP!!!!! WILL MARK BRAINLIEST
Answer: What I am going to do with you is first at least TRY and show the picture in which you tried. If i see that's wrong I will explain to you
Step-by-step explanation:
2. 2x + y = -4
5x + 3y = -6
Answer:
x=15/4,y=-8.25
Step-by-step explanation:
Well to begin with it make both y's equal so multiply the first equation by 3 making it into: 6.6x+3y=-12. next subtract this new equation by the other one making it one equation as, 1.6x=-6, simplify to get: x=15/4, or 3.75 input that into one of the equations the secound one would be easier to make it 18.75+3y=-6 simplify again, 3y=-24.75 than you get y as y=-8.25
You are tasked with constructing a rectangular box with a square base, an open top, and a volume of 184 in3. Determine what the dimensions of the box should be to minimize the surface area of the box. What is the minimum surface area? Keep your answer in radical form and omit units.
Answer:
7.17 by 7.17 by 3.58
Step-by-step explanation:
Since the rectangular box is square based, the total surface area is expressed as;
S = x²+2xh+2xh (the top is opened)
S = x² + 4xh ..... 1
x is the side length of the square
h is the height of the box
Also the volume V = x²h
Given V = 184
184 = x²h
h = 184/x² .... 2
Substitute 2 into 1;
S = x² + 4xh
S = x² + 4x(184/x²)
S = x² + 4(184/x)
S = x² + 736/x
Since we need a dimension that will minimize the surface area of the box then, dS/dx = 0
dS/dx = 2x -736/x²
0 = 2x -736/x²
multiply through by x²
0 = 2x³- 736
2x³ = 736
x³ = 736/2
x³ = 368
x = ∛368
x= 7.17 in
Since V = x²h
184 = 7.17²h
h = 184/7.17²
h = 184/51.4089
h = 3.58 in
Hence the dimensions of the box should be to minimize the surface area of the box are 7.17 by 7.17 by 3.58
type the integers that makes the following addition sentence true + (-11) + 12=-16
Answer:
The answer is -17.
Step-by-step explanation:
-17+(-11)+12=
-17+(-11)=-28+12= -16
Answer:
the answer is -15 so this statement is false sry if I didn't answer what u needed
Step-by-step explanation:
The way I figure it out is by a timeline but with numbers. zero goes in the middle and numbers going right are and numbers going left are negitive.
A football Stadium has 4 entrance gate and 9 exists in
how many different ways a man can enter and leave
the stadium ?
Answer:
13
Step-by-step explanation:
9+4=13
The ratio of soccer players to baseball players on two school teams is 4 to 7. Which of the following could be the number of players on each team?
A.
12 soccer players and 15 baseball players
B.
12 soccer players and 21 baseball players
C.
16 soccer players and 19 baseball players
D.
16 soccer players and 49 baseball players
Answer:
B
Step-by-step explanation:
Multiply each ratio by the same number
4x3=12 7x3=21
The number of players on each team could be; B. 12 soccer players and 21 baseball players.
What is the ratio of two quantities?Suppose that we've got two quantities with measurements as 'a' and 'b'
Then, their ratio(ratio of a to b) a:b. Remember that the ratio should always be taken of quantities with the same unit of measurement. Also, the ratio is a unitless(no units) quantity.
We have been given that the ratio of soccer players to baseball players on two school teams is 4 to 7.
That is; 4: 7
Then Multiply each ratio by the same number.
4 x 3 = 12
7 x 3 = 21
Therefore, the number of players on each team could be; B. 12 soccer players and 21 baseball players.
Learn more about ratios here:
brainly.com/question/186659
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What is the slope of (-3, 5) and (3, -7) ?
Answer:
-2
Step-by-step explanation:
[tex]\frac{-7-5}{3-(-3)}= \frac{-7+-5}{3+3} =\frac{-12}{6} =-2[/tex]
Answer:
12/-6 or -2
Step-by-step explanation:
-3-3= -6 (run)
5-(-7)= 12(rise)
12/-6 rise over run
PLSSSSS HELP ME!
The sum of two numbers is 55 and the difference is 23. What are the numbers?
Please help me vote you brainiest
Answer:
1/5 = 0.2 so, she can drink 0.1 of a gallon each day
to turn a fraction into a decimal you should do..
1/5 since 5 can't go into 1 you add a 0 to the 1 making it a 10 and move the decimal point, since 5 goes into 10, 2 times, we get 0.2
Plz answer plz plz plz
Step-by-step explanation:
8. 3x + 2 < or = 5
3x < or = 5 - 2
3x < or = 3
x < or = 1
0 and 1 you have to look at the conditions x ...W
Ava borrowed some money from her friend in order to help buy a new video game system. Ava agreed to pay back $2 per week and after 5 weeks, Ava still owe her friend$10
Mateo wrote the equation 8−2(3−x)=4x−2(x+1). How many solutions are there to Mateo’s equation?
Answer:
No Solutions
Step-by-step explanation:
Select all expressions that are equivalent to 64.
A. 2⁶
B. 2⁸
C. 4³
D. 8²
E. 16⁴
F. 32²
Select all expressions that are equivalent to 3⁴.
A. 7
B. 4³
C. 12
D. 81
E. 64
F. 9²
The language arts teacher wants to know whether the students in the entire school prefer a debate or a speech. The teacher draws a random sample from the following groups:
A - All teachers in the school
B - All boys in each grade
C-All students in the speech club
D-All students in each grade
Which group best represents the population she should take a random sample from to get the best results for her survey?
Answer:
d- all students from each grade
Step-by-step explanation:
Answer:
D, all students in each grade.
Step-by-step explanation:
If you did a random sample from the students in the speech club it will be biased because they will probably all say giving speeches because they are in the speech CLUB. You cannot do the teahcers because their answers will also be biased. If you do all the boys in each grade it will be biased only to what boys like and not girls or any other student in the grade. Therefore, using the process of elimination, the answer is D, you should take a random sample of all the students in each grade.
What’s your biggest pet peeve?
Elias has read 18 pages of a book. He will continue to read at an average rate of 4 5 5 4 page per minute. The total number of pages (p) Elias reads after m minutes can be represented by the equation p = 4 5 m + 18 p= 5 4 m+18. How many minutes will it take Elias to read a total of 39 pages?
Answer:
26.25 minutes
Step-by-step explanation:
Given that :
Number of pages (p) read by Elias can be modeled by the function ;
p = 45m + 18
Where P = Number of pages ; m = number of minutes
Number of minutes it will take to read a total of 39 pages
p = 4/5m + 18
39 = 4/5m + 18
39 - 18 = 4/5m
21 = 4/5m
4m = 21 * 5
4m = 105
m = 105 / 4
m = 26.25
Find the 13th term for the sequence {7, 12, 17, 22, 27}
Answer:
67
Step-by-step explanation:
its going up by 5 each time. i just counted that until i got to the thirteenth number. it also seems to be going with the numbers with a "2"or "7" in it. hope this helps!
Answer:67
Step-by-step explanation:
7+5=12 12+5=17 17+5= 7,12,17,22,27,32,37,42,47,52,57,62,67
Please help me with this...it’s 2am and I still have 3 more assignments...thank you
Answer:
maybe y= 9 because side A B is 10 and side C D is almost the same just sleep slightly shorter.
Use the slope formula to find the missing coordinate.
7
m = T(13, 2), W_,-5)
a) -11
b) 11
c) 15
Answer:
C
Step-by-step explanation:
Giving anyone who can answer CORRECTLY brainless don’t comment if you don’t know I’ll flag you
Answer:
its proportional bc
Step-by-step explanation:
4.2 ÷3=1.4 and if you go 5 x 1.4 you get 7 same with the last one sorry im bad at explaining but i hope this helped
What is the difference in temperature between 50C and 30°C
Answer:
50 degree is hotter than 30 degree
Someone plz answer.....
Answer:
50°
Step-by-step explanation:
angle 5 = angle 4 ( Alternative Interior Angles are equal )
But angle 3 & angle 4 are linear pairs. So,
angle 3 + angle 4 = 180°
=> angle 3 + angle 5 = 180° (angle 5 = angle 4)
=> angle 3 + 130° = 180°
=> angle 3 = 180° - 130° = 50°
what is the equation for The sum of 15 and n is less than or equal to 8.
-. A fish is swimming at a constant rate toward the ocean floor-
The equation y = -7x – 3 can be used to represent this
situation, where y is the depth of the fish in meters below
sea level and x is the number of seconds the fish has been
swimming.
Which statement best describes the depth of the fish, given
this equation?
Answer:
b
Step-by-step explanation:
this guy did not put anything so i did
The equation represents from starting position of 3 meters below sea level, the fish is descending 7 meters per second. Then the correct option is C.
What is a linear equation?A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
A fish is swimming at a constant rate toward the ocean floor. The equation y = – 7x – 3 can be used to represent this situation, where y is the depth of the fish in meters below sea level and x is the number of seconds the fish has been swimming.
The equation represents from starting position of 3 meters below sea level, the fish is descending 7 meters per second. Then the correct option is C.
More about the linear equation link is given below.
https://brainly.com/question/11897796
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The complete question is attached below.
A group of adults plus one child attend a movie at AMC. Tickets cost $9 for adults and $6 for children. The total cost for the movie is $78. How many adults attended the movie?
Answer:
8 adults
Step-by-step explanation:
1.) $78 - $6 = $72
2.) $72/$9 = 8
Find all values of t such that 6t-2/3+t/5=4+2-t/3.
If you find more than one answer, enter every answer you find as a list separated by commas.
PS the 2-t at the end is all over 3
Step-by-step explanation: need to find a basis for the solutions to the equation Ax = 0. To do ... From this we can read the general solution, x = ⎡. ⎢ ... two vectors are clearly not multiples of one another, they also give a basis. So ... 4.4.14 The set B = {1 − t2,t − t2,2 − 2t + t2} is a basis for P2. ... x1(1 − t2) + x2(t − t2) + x3(2 − 2t + t2)=3+ t − 6t2.
if i were to read 3 pages a day how many would i have read in 75 days
Answer:
225 pages in 75 days. hope this helped!
Step-by-step explanation:
Answer:
75*3 or 225
Step-by-step explanation:
3 pages per day the 75 days it's 75*3 which is 225
Hope this helps plz mark brainliest if correct :D
I need help I don’t understand
Answer:
x=50
Step-by-step explanation:
A= 30+2x
B= x
Supplementary angles are angles that always add up to 180 degrees.
therefore, A + B=180 degrees
30 + 2x + x = 180: Now we solve
30 + 3x =180
subtract 30 from both sides
3x=150
divide by 3
3x/3 = 150/3
x= 50
which which expression is equivalent to 3(8+7)
..........
Answer:
24+21
Step-by-step explanation:
you multiply both the numbers in the parentheses by 3
Answer:
Step-bypass you have to do it on the
will mark brainlest
options are no solution infirnite solutions (0,-2) and (0,2)
Answer:
Infinite solutions
Step-by-step explanation:
I converted y + 2 = -5x into y=-5x-2
The two equation are the same (coinciding lines) and therefore have the same points and they have an infinite amount of solutions.
