Answer:
B
Step-by-step explanation:
Answer:
The y-intercept of the line would be (C) 8
Step-by-step explanation:
The slope of the line with the equation y = -3x - 5 is -3. When figuring out a slope perpendicular to another line you would use the negative reciprocal of the slope which would lead to the slope of the line to be 1/3.
We know it passes through the point (-3,7), substituting x and y, we would then get our new equation, 
.
Solve the equation by multiplying -3 with 1/3 and the product would be -1. Add negative one on both sides and you would get 8 = b.
Answer:
length = (x − 8) units and width = (x − 9) units
Step-by-step explanation:
We need to factor
x^2 - 17x + 72
We need two numbers whose product is 72 and whose sum is -17.
The numbers are -8 and -9.
x^2 - 17x + 72 = (x - 8)(x - 9)
Answer: length = (x − 8) units and width = (x − 9) units
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
Answer:
x can be any real number
Step-by-step explanation:
5x<=21+2x
Or
3(x+1)>=24
5x-2x<=21
Or
3x+3>=24
3x<=21, i.e x<=7
Or
3x>=21, i.e x>=7
Since we have OR, at least one of them must be true. So x can be any real number.
