Answers
Answer:
(a) [tex]5 * (2x - 1) = 10x - 5[/tex]
(b) [tex]6 * x = x + 2x + 3x[/tex]
(c) [tex]\frac{1}{2}(x - 6) = \frac{1}{2}x - 3[/tex]
(d) [tex]y(3x + 4z) = 3xy + 4yz[/tex]
(e) [tex]z(2xy - 3y + 4x) = 2xyz - 3yz + 4xz[/tex]
Step-by-step explanation:
Solving (a):
Given
[tex]10x - 5[/tex]
Required
Express as a product
Express 10x as 5 * 2x
[tex]10x - 5 = 5 * 2x - 5[/tex]
Apply distributive property
[tex]10x - 5 = 5(2x - 1)[/tex]
[tex]10x - 5 = 5 * (2x - 1)[/tex]
So:
[tex]5 * (2x - 1) = 10x - 5[/tex]
Solving (b):
Given
[tex]x + 2x + 3x[/tex]
Required
Express as a product
Express 2x and 3x as 2 * x and 3 * x, respectively
[tex]x + 2x + 3x = x + 2*x + 3*x[/tex]
Apply distributive property
[tex]x + 2x + 3x = x(1 + 2 + 3)[/tex]
[tex]x + 2x + 3x = x(6)[/tex]
[tex]x + 2x + 3x = 6*x[/tex]
So:
[tex]6 * x = x + 2x + 3x[/tex]
Solving (c):
Given
[tex]\frac{1}{2}(x - 6)[/tex]
Required
Express as a sum/difference
Apply distributive property
[tex]\frac{1}{2}(x - 6) = \frac{1}{2}x - \frac{1}{2}*6[/tex]
[tex]\frac{1}{2}(x - 6) = \frac{1}{2}x - \frac{6}{2}[/tex]
[tex]\frac{1}{2}(x - 6) = \frac{1}{2}x - 3[/tex]
Solving (d):
Given
[tex]y(3x + 4z)[/tex]
Required
Express as a sum/difference
Apply distributive property
[tex]y(3x + 4z) = 3x * y + 4z * y[/tex]
[tex]y(3x + 4z) = 3xy + 4yz[/tex]
Solving (e):
Given
[tex]2xyz - 3yz + 4xz[/tex]
Required
Express as a product
Factorize
[tex]2xyz - 3yz + 4xz = 2xy * z - 3y * z + 4x * z[/tex]
Apply distributive property
[tex]2xyz - 3yz + 4xz = z(2xy - 3y + 4x)[/tex]
So:
[tex]z(2xy - 3y + 4x) = 2xyz - 3yz + 4xz[/tex]
Related Questions
helppppppppppppppppppppp
Answers
Answer: d the last one
Step-by-step explanation:
Answer:
1 , 3,4
Step-by-step explanation:
1
We can multiply both by 8
So, 8x and -24
So its correct
2We multiply 8 by both
So, we have 8x-192
So, no
FIrst, we can do 9 and apply it to both x and -3
So, 9x-27-x+3
So, 8x-24
SO, yes
4
5+3*x = 8x
So, 8x-24
So yes
Please help the best answer gets brainlets
Answers
Answer:
n=12
Step-by-step explanation:
since the ratio is 6lbs:$8
if they were buying 3lbs it would cost $4
so with 9lbs it would cost $12
3:4
6:8
9:12
:)
-3 < 5, add 4 to both sides
Answers
Answer:
1<9
Step-by-step explanation:
-3+4<5+4
1<9
Evaluate the expression when a= 4, b= -6, c= -12
Answers
Answer:
what expression do u want to be evaluated?
Step-by-step explanation:
given a storm has a destruction area in the shape of a square, give the total area affected if the side lengths of the square were 315.2
Answers
Answer:
to find area, multiply the two sides together. since it tells us that this is a square we can assume both sides are the same length (315.2). multiply 315.2 and 315.2, and you get 99,351.04.
Which terms can be combined in the expression below? Select three options.
StartFraction 5 over 6 EndFraction a minus 2 b minus 16.3 + StartFraction b over 12 EndFraction + c minus 0.9 b
StartFraction 5 over 6 EndFraction a
–2b
–16.3
StartFraction b over 12 EndFraction
–0.9b
Answers
Answer:
incase the question confused you it is
Which terms can be combined in the expression below? Select three options.
5/6a -2b- 16.3 + b/12+ c -0.9b
1) 5/6a
2) -2b
3) -16.3
4) b/12
5) -0.9b
Step-by-step explanation:
The answers are 2, 4, and 5!!!just took the test on edge
Answer:
B, D and E
Step-by-step explanation:
Plsssssssss Help!!!!!!
Sabrina is going to rent a bicycle while on vacation. There are two rental companies she can choose from. The first company charges $10 plus a rate of $2 per hour until the bicycle is returned. The second company’s rental charges can be represented by the equation c=3h+6, where c she represents the total cost and h represents the total number of hours the bicycle is rented.
Answers
Answer:
16
Step-by-step explanation:
If shes out for 3 hours, times 2 by 3, 2x3 then they have a fee of 10 at the beginning then you add that on to 6 then you get 16. ( Sorry if I'
m wrong this is just how I was taught )
Answer:
i would say 3. $15 is your answer
hope this helps :)
i'm so sorry if i'm wrong
pls answer if you can
Answers
6x
6x is the expression expressing the given.
A product is the answer to a multiplication problem, so it’s 6 times a number
Hi I need help really quick please if it's not too much of a bother
Answers
Answer:
Jimmy is correct!
Step-by-step explanation:
The last answer is correct, hope this helps!
Explanation: the numbers are the same but they have different signs implying that one is negative and the other is positive, Tony is correct
HELP ME ASAP!!!!!!!!
Answers
Answer:
9. 2 1/12 10. 3/14
11. D 12. 7/8
13. 5/8 hours 13. 1/12
15. No he is not correct because 1/2 equals 2/4, 1/4 plus 2/4 equals 3/4
16. No he is not correct because 5/6 is 10/12 and its way greater than 6/12
Melvin is struggling with problems that ask him to find the area of shaded regions, such as the one shown below.
Answers
Answer:
B
Step-by-step explanation:
is the correct answer
How many blocks will the 22nd term have in it?
Answers
Answer:
y = 47
Step-by-step explanation:
y = 2x + 3
y = 2(22) + 3
y = 47
Step-by-step explanation
Y=2x+3
Y=2(22)+3
Answer Y=47
Hope that helps
need help asap
will give brainly
Answers
Answer:
(5,3)
Step-by-step explanation:
When you go around origin, all it is does is it turns (x,y) into (-x,-y). (--5,--3) = (5,3)
Answer:
idek
Step-by-step explanation:
lel
these are the onlys ones i can attach rn i will add more on a different question
Answers
2. 1/4
5. 1/20
1/4
1/20
Hope this helps
Combine the like terms to create an equivalent expression:
-7-4p--5
The -5 is supposed to be (-5)
Answers
Answer:
-12-4p
Step-by-step explanation:
I hope this helps!
Explanation: the -7 and the -5 combine and equal -12 then the -4p stays the same
please help me on this
Answers
Answer: 9m+18
Step-by-step explanation:
Distribute
Explanation: 9(m+2) = 9 x M is 9m and 9 x 2 is 18. So the answer is 9m+18
Combine the like terms to create an equivalent expression:
7p-(-5)+(-1)
Answers
Answer:
Remove parentheses.
7p+5-1
Collect like terms.
7p+(5-1)
Simplify.
7p+4
There u go mate
Step-by-step explanation:
Please help me with this>If you help me i will give you brainliest
Answers
Answer:
Step-by-step explanation:
So its difficult to show
Y= X-6 so what ever x is, y is six less than that so
X= -4 Y= -10
X= 0 Y=-4
X=4 Y=0
X=8 Y= 4
Then plot these on a graph like co-ordinates (x,y) and draw a straight line through them
Y= 4/3x -2 so whatever x is y is 4/3 and 2 less then that
X=-4 Y= -5
X=0 Y= -2
X=4 Y=1
X= 8 Y= 4
Then plot these on a graph like co-ordinates (x,y) and draw a straight line through them
Y= -2
Find minus 2 on the y axis and draw a horizontal line through it all the way across the grid.
Y= 2+ 1/4x so whatever x is y is 1/4 of x add 2
X=-8 Y= 0
X= -4 Y = 1
X=0 Y=2
X=4 Y=3
X=8 Y=4
Then plot these on a graph like co-ordinates (x,y) and draw a straight line through them
Do this method for 9
y = 2x -3 so whatever x is, y is 2 times that -3
y=2x +1 so whatever x is y is 2 times that +1
y= 2x so whatever x is y is 2 times that
Then plot the answers on a graph like co-ordinates (x,y) and draw a straight line through them
Make sure to label each line
Hope this helps
Copy the proof on paper, mark the givens in the diagram, and fill in the blanks to complete the proof.
Answers
This is the actual answer:
The missing values are PU, PU ≅ PU, UR, PR, and Triangle RUP by applying Corresponding parts of congruent triangles are congruent.
What is congruence in the triangles?The measurements of the sides and angles of two or more triangles determine their congruence. A triangle's size is determined by its three sides, and its shape is determined by its three angles. If the pairs of corresponding sides and angles of two triangles are equal, they are said to be congruent.
We have:
As we can see in the diagram,
First, we will draw PU
PU is the common side for both the triangles
PU ≅ PU (reflexive property)
UO ≅ UR (given)
PO ≅ PR (given)
By the property of SIde-Side-Side
The triangle OUP ≅ Triangle RUP
By Corresponding parts of congruent triangles are congruent:
Angle O ≅ Angle R (proved)
Thus, the missing values are PU, PU ≅ PU, UR, PR, and Triangle RUP by applying Corresponding parts of congruent triangles are congruent.
Learn more about the congruence in the triangles here:
brainly.com/question/20521780
#SPJ2
25 points for whoever answers all of these
At a party, everyone shook hands with everybody else. There were 66 handshakes. How many people were at the party?
Use the interactive graphing tool to plot the ordered pairs.
(-2,0), (-1, -3), (0, -4), (1, -3), (2, 0)
Using your graph, how many points lie on the x-axis?
0
1
2
3
this is for a certain person to answer
Answers
Answer:
sorry if im not this certain person but i would say( -1,-3)
Step-by-step explanation:
help please! tyssssm!
Answers
Answer:
B. Negative
⁄(⁄ ⁄•⁄ω⁄•⁄ ⁄)⁄
Answer:
[tex]negative[/tex]Step-by-step explanation:
.................
HELP ME PLSSSSSS!!!!
Answers
Answer:
I believe 16/3 not 100% sure tho..
which of the following is equalvalit to the expression shown, 4x + 3(2x - 1) - 4x
A.6x - 3 B. 14x - 3
C.6x +3 D.14x + 3
Answers
Explanation: the two 4’s on both sides of the equation cancel out which leaves you with 3 (2x-1). You use distributive property to distribute the 3 into the brackets which leads you with 6x-3. Hope it helped!
Mr. Kellow can lay 279 yards of sprinklers in 6 hours. How many yards of sprinkler can he lay in 1 hour?
Answers
Answer:
46.5 yards
Step-by-step explanation:
Simply divide the number of yards by the number of hours
279/6 = 46.5
He can lay 46.5 yards in one hour
Answer:
46.5
Step-by-step explanation:
if you divide 6 and 279 you will get this answer
Sarah worked 8 more hours than Paida (algebraic expression) ___
Kumar has twice the number of goals as Jacob ___
Addison is 3 years younger than Nathan ___
Answers
2x
x-3
8 more hours
twice the number
3 years younger
Help me with this math plz
Answers
Answer:
B. Right
Step-by-step explanation:
40+50=90 :D
Hope this helps
Need help with an algebra question please and thank you ^^
Answers
PLEASE DO BOTH AND SHOW UR STEPS
Answers
Answer:
1. It is not proportional because if it is going up 36 every time, number 5 should be 180.
2. The difference between 3 and 7 cans of red bull are $10. 4 cans are $10. Each can is 2.50.
Step-by-step explanation:
Answer:
a. The relationship is NOT proportional
b. The constant of proportionality is 0.4
Step-by-step explanation:
a. The numbers in the table are not proportional. We can tell that by dividing the top numbers by the bottom numbers they're matched with to find and compare ratios. 2/72=0.0277, but 8/296=0.0270, so since they're not equal, they're not proportional.
b. We find the constant of proportionality by doing the same thing as we did to find the ratios above. So 3/7.50= 0.4. To make sure the rate is the same, we'll also check that 7/17.50=0.4. Since it does, we know that that's the answer.
Bob borrows $6500 at 8% interest compounded anually. How much will he owe after six years?
a
$6,785.33
b
$10,314.68
c
$9,620.00
d
$12,776.48
Answers
please help will mark brainliest:)
Answers
Answer:
Im pretty sure it is A.
Step-by-step explanation:
Just trust me on this one.