Answer:
Simplifying
(5n + -3) + -1(-2n + 7) = 0
Reorder the terms:
(-3 + 5n) + -1(-2n + 7) = 0
Remove parenthesis around (-3 + 5n)
-3 + 5n + -1(-2n + 7) = 0
Reorder the terms:
-3 + 5n + -1(7 + -2n) = 0
-3 + 5n + (7 * -1 + -2n * -1) = 0
-3 + 5n + (-7 + 2n) = 0
Reorder the terms:
-3 + -7 + 5n + 2n = 0
Combine like terms: -3 + -7 = -10
-10 + 5n + 2n = 0
Combine like terms: 5n + 2n = 7n
-10 + 7n = 0
Solving
-10 + 7n = 0
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '10' to each side of the equation.
-10 + 10 + 7n = 0 + 10
Combine like terms: -10 + 10 = 0
0 + 7n = 0 + 10
7n = 0 + 10
Combine like terms: 0 + 10 = 10
7n = 10
Divide each side by '7'.
n = 1.428571429
Simplifying
n = 1.428571429
Answer:
−4<x≤9
Conjunction
Step-by-step explanation:
-7 < x -3
x -3 ≤ 6
-7 + 3 < ( x - 3) + 3
(x -3) + ≤ 6 + 3
-4 < x -3 + 3
x - 3 + 3 ≤ 9
-4 < x
x ≤ 9
x > -4
x ≤ 9
Answer: OPTION B
Step-by-step explanation:
To solve this problem you must add the areas of each rectangle that form the prism;
The area of a rectangle can be calculated with the formula:
There are three pairs of equal rectangles, then you can find the surface area of 3 rectangles and multiply each one by 2, then you obtain that the surface area of the prism is:
Hi,
m = (y-y₀)/(x-x₀)
m = (-5-3)/(-2-2)
m = -8/-4
m = 2
For point (2,3) ⇒ x₀ = 2 and y₀ = 3
y-y₀ = m(x-x₀)
y-3 = 2(x-2)
For point (-2,-5) ⇒ x = -2 and y = -5
-5-3 = 2(-2-2)
-8 = 2(-4)
-8 = -8 ⇒ True
Answer:
C. The equation is y-3 = 2(x-2)
Answer:
I used my name, lol
Step-by-step explanation:
Kat wants to use her money to support animals at a shelter after receiving her pay check from work . She pays $15 per animal, and leaves $20 for the workers. She can spend at most $130. How many animals can she help?
Solve for x
Add 20 to both sides to isolate x
Divide each side by 15
Kat can help at most 10 animals.
(I am so sorry I took so long, I couldn't come up with anything.)
