Answer:
Step-by-step explanation:
f(x) = x² – 8 and g(x) = 4-x
y=f(x) - g(x)
y=(x² – 8) - (4-x)
Answer:
1/9.
Step-by-step explanation:
There is a total of 15 cards in the stack.
Prob( Queen is chosen) = 5/15 = 1/3.
The probability of a second queen being chosen is also 1/3
Required probability = 1/3 * 1/3 = 1/9.
1 ft = 12 in
6 in = 6/12 = 0.5 ft
9 in = 9/12 = 0.75 ft
D = M/V ⇒ M = DV
V = 0.5 * 0.5 * 0.75 = 0.1875 cubic foot
M = 41.7 * 0.1875 ≈ 7.8 pounds
Answer: B.
Answer: x = -0.2651 and y = -0.9759
Step-by-step explanation:
Solution by substitution method
8x+5y= -7
-7x+6y= -4 = 7x-6y=4
Suppose,
8x+5y=-7→(1)
7x-6y=4→(2)
Taking equation (1), we have
8x+5y= -7
⇒8x= -5y -7
⇒x= -5y-7 / 8 →(3)
Putting x= -5y-7 / 8
in equation (2), we get 7x-6y=4
7(-5y-7/8)-6y=4
⇒-35y-49-48y=32
⇒-83y-49=32
⇒-83y=32+49
⇒-83y=81
⇒y= 81 / -83
⇒y= -0.9759→(4)
Now, Putting y= -0.9759 in equation (3), we get
x= -5y-7
x= -5(-0.9759)-7/8
⇒x= 4.8795-7/8
⇒x= -2.1205/8
⇒x= -0.2651
∴x= -0.2651 and y = -0.9759
Answer:
Step-by-step explanation:
![\sf x(4+5) = 54\\\\Applying \ distributive \ property\\\\(x*4) + (x*5) = 54\\\\Distributive\ Property\ is:\\\\A(B+C) = (A*B)+(A*C)\\\\\rule[225]{225}{2}](https://tex.z-dn.net/?f=%5Csf%20x%284%2B5%29%20%3D%2054%5C%5C%5C%5CApplying%20%5C%20distributive%20%5C%20property%5C%5C%5C%5C%28x%2A4%29%20%2B%20%28x%2A5%29%20%3D%2054%5C%5C%5C%5CDistributive%5C%20Property%5C%20is%3A%5C%5C%5C%5CA%28B%2BC%29%20%3D%20%28A%2AB%29%2B%28A%2AC%29%5C%5C%5C%5C%5Crule%5B225%5D%7B225%7D%7B2%7D)
Hope this helped!
<h3>~AH1807</h3>
