We will build the equation in the form of y = mx + b where 'm' is the slope and 'b' is the y-intercept.
We know the slope and we know the where the line intercepts the y-axis.
The answer:
y = 1x + -1
Because the coefficient of "1x" is just one we can simplify to the final answer:
y = x + -1
Answer:
x = 5
z =2
y =4.4
Step-by-step explanation:
y varies directly as x
y = kx
and inversely as z
y = kx/z
Putting in the numbers in the first line of the table, we can solve for k
13.75 = k * 25/4
Multiply by 4
13.75*4 = 25k
55 =25k
Divide by 25
55/25 = 25k/25
2.2 = k
Now we can fill in the table
y = 2.2 x/z
Row 2 we need to find x
1 = 2.2 x/11
Multiply by 11
11 = 2.2 x
Divide by 2.2
11/2.2 = 2.2x
5 =x
Row 3 we need to find z
18.7 = 2.2 *17/z
18.7 = 37.4 /z
Multiply by z
18.7z = 37.4
Divide by 18.7
18.7/18.7z = 37.4/18.8
z =2
Row 4 we need to find y
y = 2.2 *10/5
y = 22/5
y =4.4
Answer:
b. w= 8x^2-2y / y
Step-by-step explanation:
Given:
(2*x^2)/y = (w+2)/4
Isolating w, we get:
w = (8*x^2)/y - 2
Multiplying and dividing the second term in the right-side of the equality by y, we get:
w = (8*x^2)/y - 2*y/y
Subtracting the fractions:
w = (8*x^2 - 2y)/y
Answer:
The factored form of this would be 16(4b - c)
Step-by-step explanation:
In order to find this, look for the greatest common factor of 16 and 64. You can do this by listing out their factors. Once this is done and we identify 16 as the GCF, we can then put that on the outside of the parenthesis and divide all the terms inside by that number.
24
Using distributive property it would be 24.
