Answer:
The probability is 2/5 that a $20 bill will be drawn from the wallet.
Step-by-step explanation:
There are 20 total bills in the wallet (5 $5, 7 $10, and 8 $20, 5+7+8=20). So if the finder and returner of the wallet was to be given one of the bills drawn from the wallet there would be an 8/20 chance the owner of the wallet would pull a 20. That's because there are 20 total bills in the wallet and 8 of them are $20.
Simplifying 8/20... 8/20= 4/10= 2/5.
So, there is a 2/5 chance that a $20 bill will be pulled out of the wallet.
Hope this helps!
Answer:
<h2>
y = -⁵/₂x - 12
</h2>
Step-by-step explanation:
The point-slope form of the equation is y - y₀ = m(x - x₀), where (x₀, y₀) is any point the line passes through and m is the slope:
m = -⁵/₂
(-4, -2) ⇒ x₀ = -4, y₀ = -2
The point-slope form of the equation:
y + 2 = -⁵/₂(x + 4)
So:
y + 2 = -⁵/₂x - 10 {subtract 2 from both sides}
y = -⁵/₂x - 12 ← the slope-intercept form of the equation
Answer:
True
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (- 4, - 9), thus
y = a(x + 4)² - 9
To find a substitute the coordinates of the zero (- 7, 0) into the equation.
0 = a(- 7 + 4)² - 9, that is
0 = 9a - 9 ( add 9 to both sides )
9a = 9 ( divide both sides by 9 )
a = 1, thus
y = (x + 4)² - 9 ← expand factor using FOIL
y = x² + 8x + 16 - 9
y = x² + 8x + 7
