Answer:
-64
Step-by-step explanation:
a(b - c)
a = -8
b = 12
c = 4
So, you'd plug in those numbers:
-8(12 - 4)
You'd start within the parenthesis's, so:
(12 - 4), which equals (8)
-8(8)
= -64
Answer:
C
Step-by-step explanation:
12 divided by 3 is 4 and 30 divided by 3 is 10
Answer:
-2/3x + y = -7
Step-by-step explanation:
So, y = 2/3x - 7 is the slope-intercept equation. Now, we need to turn it into the standard equation of a slope.
Standard equation --> Ax + By = C
y = 2/3x - 7
-2/3x -2/3x
----------------------
-2/3x + y = -7 --> this is your equation in standard slope form.
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
F(x) = -5/6x - 3
You can get this by identifying the y-intercept and then using the formula for slope given any two points on the graph.
