Answer:
B.40
Step-by-step explanation:
Answer:
66.5%
Step-by-step explanation:
95.1/143*100=66.5%
Find 15% of $8
Simply do this by multiplying 0.15 and 8
0.15 * 8 = 1.2
This means you left a $1.20 tip on top of your original $8
$8 + $1.20 = $9.20
Answer:
a = -6
b = 1
Step-by-step explanation:
The gradient of the tangent to the curve y = ax + bx^3, will be:
dy/dx = a + 3bx²
at (2, -4)
dy/dx = a+3b(2)²
dy/dx = a+12b
Since the gradient at the point is 6, then;
a+12b = 6 ....1
Substitute x = 2 and y = -4 into the original expression
-4 = 2a + 8b
a + 4b = -2 ...2
a+12b = 6 ....1
Subtract
4b - 12b = -2-6
-8b = -8
b = -8/-8
b = 1
Substitute b = 1 into equation 1
Recall from 1 that a+12b = 6
a+12(1) = 6
a = 6 - 12
a = -6
Hence a = -6, b = 1
S(x) = 2 - x²
t(x) = 3x
s(t(x)) = st(x)
s(t(x)) :
s(3x)
So in s(x) = 2 - x², to solve for s(3x) we replace x with 3x
s(x) = 2 - x²
s(3x) = 2 - (3x)²
= 2 - 9x²
st(x) = 2 - 9x²
st(-7) = 2 - 9*(-7)(-7)
= 2 - 9*49 = 2 - 441 = -439
st(-7) = -439
