Answer:
11
Step-by-step explanation:
30-2(7+2)-1
PEMDAS says parentheses first
30-2(9)-1
Then multiply
30 -18 -1
Then subtract
12-1
11
Step-by-step explanation:
(x + 8)(x - 1) = x^2 - x + 8x - 8 = x^2 + 7x - 8.
Hence a = 1, b = 7, c = -8. (Options A, D and E)
5. Slope intercept form is written as y = mx +b, where m is the slope and b is the y-intercept.
Using two of the points on the graph find the slope:
(0,-3) and (6,1)
Slope = change in Y over the change in X:
Slope = (1-(-3) / (6-0) = 4/6 = 2/3
The y-intercept is the Y value when x = 0, which is -3.
The formula is y = 2/3x - 3
6. Point slope form is written as y - y1 = m(x- x1) where m is the slope, y1 and x1 are a known point on the line.
Slope = (1-0) / (1-3) = 1/-3 = -1/3
You can use either point shown for x1 and y1, so I am using the point (1,1)
The equation becomes y -1 = -1/3(x-1)
Answer:
6 and 8
Step-by-step explanation:
Let's start off by thinking at what the question is asking us.
The product (multiplication) of two even numbers (x)(x+2) is which means =,
12 more (12) than the square of the smaller number (x).
So put that all together and you get (x)(x+2)=12+x^2=
Distribute the x, (x)(x+2)=
x^2+2x=x^2+12 Subtract x^2 from both sides.
2x=12
Divide both sides by 2 and you get x=6
So the two numbers are 6,8
6(8)=12+6^2
48=48
The least common multiple of 3, 4, 6, and 8 is 24.
List the multiples out:
3: 3, 6, 9, 12, 15, 18, 21, 24
4: 4, 8, 12, 16, 20, 24
6: 6, 12, 18, 24
8: 8, 16, 24