Which is the simplified form of the equation 8p + 4 = -p + 7 + 2p + 3p ?
Answers
8p + 4 = 4p + 7 <== simplified form
Related Questions
Which is the correct solution set for 4x^2 +4x -3 = 0? (1) {2,-3}(2) {1/2, -3} (3) {1,2}(4) {1/2, -3/2}
Which lists all the integer solutions of the equation |x| = 10?a. –10 only b. 0 and 10 c. 10 only d. –10 and 10
(6^4/12^4)^2 as a single power
The difference of 17 and five times a number.
Answers
Answer: 40
Step-by-step explanation: x=−3
(−3)2−(7)(−3)+10
(−3)2−(7)(−3)+10
=40
Answers
1 x 6 = 6
Answer:
The unit square would be 6.
Step-by-step explanation:
a) 10
b) 16/5
c) 7
d) 6
Answers
10/2 + 6/3
5+6/3
=5+2
=7
Answers
(desired outcomes)/(total possible outcomes)
ok so total possible is 6 since 6 numbers
less than 3 means all numbers less than 3 not including 3
there are 2 (1 and 2 are less than 3)
2=desired outcomes
6=total possible
2/6=1/3
probability is 1/3
Answers
Given:
Total number of patches = 39
Total number of rows = 3
To find:
The number of patches in each row.
Solution:
We have,
Total number of patches = 39
Total number of rows = 3
We need to divide the total number of patches by total number of rows to find the number of patches in each row.
Therefore, the number of patches in each row is 13.
Answers
The product of two binomials is sometimes called FOIL.
It stands for ...
the product of the First terms (3j x 3j)
plus
the product of the Outside terms (3j x 5)
plus
the product of the Inside terms (-5 x 3j)
plus
the product of the Last terms (-5 x 5)
FOIL works for multiplying ANY two binomials (quantities with 2 terms).
Here's another tool that you can use for this particular problem (a).
It'll also be helpful when you get to part-c .
Notice that the terms are the same in both quantities ... 3j and 5 .
The only difference is they're added in the first one, and subtracted
in the other one.
Whenever you have
(the sum of two things) x (the difference of the same things)
the product is going to be
(the first thing)² minus (the second thing)² .
So in (a), that'll be (3j)² - (5)² = 9j² - 25 .
You could find the product with FOIL, or with this easier tool.
______________________________
(b).
This is the square of a binomial ... multiplying it by itself. So it's
another product of 2 binomials, that both happen to be the same:
(4h + 5) x (4h + 5) .
You can do the product with FOIL, or use another little tool:
The square of a binomial (4h + 5)² is ...
the square of the first term (4h)²
plus
the square of the last term (5)²
plus
double the product of the terms 2 · (4h · 5)
________________________________
(c).
Use the tool I gave you in part-a . . . twice .
The product of the first 2 binomials is (g² - 4) .
The product of the last 2 binomials is also (g² - 4) .
Now you can multiply these with FOIL,
or use the squaring tool I gave you in part-b .
3j(3j + 5) - 5(3j + 5)
3j(3j) + 3j(5) - 5(3j) - 5(5)
9j² + 15j - 15j - 25
9j² - 25
b. (4h + 5)²
(4h + 5)(4h + 5)
4h(4h + 5) + 5(4h + 5)
4h(4h) + 4h(5) + 5(4h) + 5(5)
16h² + 20h + 20h + 25
16h² + 40h + 25
c. (g - 2)²(g + 2)²
(g - 2)(g - 2)(g + 2)(g + 2)
(g(g - 2) - 2(g - 2))(g(g + 2) + 2(g + 2))
(g(g) - g(2) - 2(g) + 2(2))(g(g) + g(2) + 2(g) + 2(2))
(g² - 2g - 2g + 4)(g² + 2g + 2g + 4)
(g² - 4g + 4)(g² + 4g + 4)
g²(g² + 4g + 4) - 4g(g² + 4g + 4) + 4(g² + 4g + 4)
g²(g²) + g²(4g) + g²(4) - 4g(g²) - 4g(4g) - 4g(4) + 4(g²) + 4(4g) + 4(4)
g⁴ + 4g³ + 4g² - 4g³ - 16g² - 16g + 4g² + 16g + 16
g⁴ + 4g³ - 4g³ + 4g² - 16g² + 4g² - 16g + 16g + 16
g⁴ - 12g² + 4g² + 16
g⁴ - 8g² + 16