Answer:
8
Step-by-step explanation:
Group like terms , factor out common variable.
(xz+x) + (yz+y)
x(z+1) + y(z+1)
factor out (z+1)
= (z+1)(x+y)
= solution C.
Answer:
The number of cookies in the jar is 7.
If we include the 5 cookies from the tray in the jar the total number of cookies would be 5 + 7 = 12
Step-by-step explanation:
<em>Consider the number of cookies in the jar as 'x'. Hence the equation formed would be:-</em>
7(x) + 5 = 54
7x + 5 = 54
7x = 54 - 5
7x = 49
x = 
x = 7
The number of cookies in the jar is 7.
If we include the 5 cookies from the tray in the jar the total number of cookies would be 5 + 7 = 12
<em>Hope this helps.</em>
Answer:
A) -4
B) 4 units apart
C) no values of x
Step-by-step explanation:
1) slope of m: (3-2)/(10-8) = ½
m(x) = ½x + c
2 = ½(8) + c
c = -2
m(x) = ½x - 2
m(16) = 6
h(4) = (4-2)²/2 = 4/2 = 2
h(4)-m(16) = 2-6 = -4
B) y-intercept of:
*h(x) = ½(0-2)² = 2
*m(x) = -2
from the equation found before
2 - (-2) = 4 units apart
C) m(x) = (x-4)/2
m(x) > h(x)
(x-4)/2 > ½(x-2)²
x-4 > x²-4x+4
x²-5x+8 < 0
(x - 2.5)² + 1.75 < 0
Never negative
Answer:
Huan receives 3.33 pounds (£) every week
Step-by-step explanation:
We can calculate this by dividing the amount for 5 weeks and dividing by 5 to find the amount of pocket money for each week. 16.65/5 = 3.33, which means that he receives 3.33 pounds (£) every week for pocket money.
