Answer:
15
Step-by-step explanation:
Hope this helps
Answer:
8
Step-by-step explanation:
Use substitution: substitute each number from the set in for x, and see if the result from dividing is 45.
4
360/x=45
360/4=90
90 ≠ 45
Therefore, 4 does not make the equation true
8
360/x=45
360/8=45
45=45
Therefore, 8 does make the equation true.
16
360/x=45
360/16=22.5
22.5 ≠ 45
Therefore, 16 does not make the equation true.
So, 8 is the value that makes the equation true
Answer:
24/25
Step-by-step explanation:
Step 1: Define systems of equation
10x - 16y = 12
5x - 3y = 4
Step 2: Rewrite one of the equations
5x = 4 + 3y
x = 4/5 + 3y/5
Step 3: Solve for <em>y</em> using Substitution
- Substitute 2nd rewritten equation into 1: 10(4/5 + 3y/5) - 16y = 12
- Distribute the 10 to both terms: 40/5 + 30y/5 - 16y = 12
- Simplify the fractions down: 8 + 6y - 16y = 12
- Combine like terms (y): 8 - 10y = 12
- Subtract 8 on both sides: -10y = 4
- Divide both sides by -10: y = 4/-10
- Simply the fraction down: y = -2/5
Step 4: Substitute <em>y</em> back into an original equation to solve for <em>x</em>
- Substitute: 5x - 3(-2/5) = 4
- Multiply: 5x + 6/5 = 4
- Subtract 6/5 on both sides: 5x = 14/5
- Divide both sides by 5: x = 14/25
Step 5: Check to see if solution set (14/25, -2/5) is a solution.
- Substitute into an original equation: 10(14/25) - 16(-2/5) = 12
- Multiply each term: 28/5 + 32/5 = 12
- Add: 12 = 12
Here, we see that x = 14/25, y = -2/5 and solution (14/25, -2/5) indeed works.
Step 6: Find <em>x</em> <em>- y</em>
x = 14/25
y = -2/5
- Substitute: 14/25 - (-2/5)
- Simplify (change signs): 14/25 + 2/5
- Add: 24/25
Hope this helped! :)
12(x^2+7)2−8(x^2+7)(2x−1)−15(2x−1)^2
Distribute:
=12x^4+168x^2+588+−16x^3+8x^2+−112x+56+−60x^2+60x+−15
Combine Like Terms:
=12x^4+168x^2+588+−16x^3+8x^2+−112x+56+−60x^2+60x+−15
=(12x^4)+(−16x^3)+(168x^2+8x^2+−60x^2)+(−112x+60x)+(588+56+−15)
=12x^4+−16x^3+116x^2+−52x+629
