The probability that the teacher selects both boys from a seventh grader and eighth grader.
first calculate the probility that it is boy in each grade
7th
x = 7 / ( 7 + 3) = 7 / 10
8th
y = 2 / (2 + 2) = 1 / 2
so the probability
P = ( 7 / 10 ) ( 1 / 2 )
P = 0.35
Answer:
4 pounds = 64 ounces and 5 pounds = 80 ounces
Step-by-step explanation:
One pound is 16 ounces
So pound to ounces you multiply by 16
Thus:
4 * 16 = 64
5 * 16= 80
HOPE IT HELPED
We factor the equation to get:
-(x-25)^2+361
In the form a(x-h)^2+k, the vertex is (h, k), so the vertex is (25, 361). This means that the studio makes the most profit from selling 25 memberships, and thus makes 361 dollars.
B. The x-intercepts are the values of x for which f(x) is 0. This equation can be factored as (-a+6)(a-44)=0, with solutions 6 and 44. Therefore, by selling either 6 memberships or 44 memberships, the studio breaks even, neither making nor losing money.
Answer:
<h2>(g o f)(- 4) = 570</h2>
Step-by-step explanation:
f(x)=4x+5
g(x)=4x² - 5x - 3
To find (g o f)(-4) we must first find
(g o f )(x)
To find (g of f)(x) substitute f(x) into g(x)
That's
(g o f)(x) = 4(4x + 5)² - 5(4x - 5) - 3
= 4( 16x² + 40x + 25) - 20x + 25 - 3
= 64x² + 160x + 100 - 20x + 22
(g o f)(x) = 64x² + 140x + 122
To find (g o f)(- 4) substitute the value of x that's - 4 into (g o f)(x)
Thats
(g o f)(- 4) = 64(-4)² + 140(-4) + 122
= 64(16) - 576 + 122
= 1024 - 454
We have the final answer as
<h3>(g o f)(- 4) = 570</h3>
Hope this helps you