Solution:
1. Move all terms to one side
<span>25{x}^{2}+40x+16-28=0</span>
2. Simplify <span>25{x}^{2}+40x+16-28 to <span>25<span>x<span><span>2</span><span></span></span></span>+40x</span></span><span><span>−12</span></span>
<span>25{x}^{2}+40x-12=0</span>
3. Apply the Quadratic Formula<span>x=\frac{-40+20\sqrt{7}}{50},\frac{-40-20\sqrt{7}}{50}
</span>
4. Simplify solutions
<span>x=-\frac{2(2-\sqrt{7})}{5},-\frac{2(2+\sqrt{7})}{5}</span>
Done!
Answer:
Let x = # of hot dogs sold
Let x + 31 = # of sodas sold
For the total, do: x + x + 31 = 173
2x + 31 = 173
-31 -31
2x = 142
Divide out both sides by 2; to get: x - 71
That gives us 71 hot dogs; and 71 + 31 = 102 sodas
To test this: 71 + 71 + 31 = 173
173 = 173 [Check]
Step-by-step explanation:
its above up there
The number (in scientific notation) is:
The power of "-4" tells us to move the decimal point 4 places to the left.
So, moving it, the number becomes:
Answer:
The equivalent expression is 4x + 3
Answer:
(7, - 2 )
Step-by-step explanation:
Given the 2 equations
x = - 3y + 1 → (1)
- 3x - 3y = - 15 → (2)
Substitute x = - 3y + 1 into (2)
- 3(- 3y + 1) - 3y = - 15 ← distribute and simplify left side
9y - 3 - 3y = - 15
6y - 3 = - 15 ( add 3 to both sides )
6y = - 12 ( divide both sides by 6 )
y = - 2
Substitute y = - 2 into (1) for corresponding value of x
x = - 3(- 2) + 1 = 6 + 1 = 7
solution is (7, - 2 )
