Answer:
Oliver's living expenses- 520(.1)=$52
30 000 + 7 000 + 800 + 30 + 1
Substitute y = x + 1 into 2x - 5y = 4
-3x - 5 = 4
Solve for x in -3x - 5 = 4
x = -3
Substitute x = -3 into y = x + 1
y = -2
Therefore,
<u>x = -3</u>
<u>y = -2</u>
I think the answer is c 30 degrees!!
Answer:
a = 5
Remainder when p(x) is divided by x+2 = 62
Step-by-step explanation:
Given:
P(x) = x⁴-2x³+3x²-ax+3a-7
When x+1 divides the polynomial p(x) the ramainder is 19.
Applying remainder theorem,
x = -1
p(-1) = 19
Substitute the x = -1 into the polynomial expression
p(-1) = (-1)⁴-2(-1)³+3(-1)²-a(-1)+3a-7 = 19
1+2+3+a+3a-7 = 19
6-7+4a = 19
4a-1 = 19
4a = 19+1
4a = 20
a = 20/4
a = 5.
Hence, a = 5
p(x) = x⁴-2x³+3x²-5x+8
If p(x) is divided by x+2,
Then the remainder is p(-2)
p(-2) = (-2)⁴-2(-2)³+3(-2)²-5(-2)+8
p(-2) = 16+16+12+10+8
p(-2) = 62
Hence the remaider when p(x) is divided by x+2 is 62
