Answer:
y=3/2x-4
Step-by-step explanation:
y=3/2x+b
-1=3/2(2)+b
-1=3+b
-4=b
y=3/2x-4
Answer:
u = 8w-16 /-12 or = - 8w-16/12 both mean the same due to the a/-b- = -a/b rule. Then you can factor out the rest. note the fnew subtraction changes mean the same as - (a/b) and should show without brackets as a centre pointing whole fraction subtraction sign.
Step-by-step explanation:
-12u -13 = 8w-3
-12u+13 -13 = 8w-3-13 Eliminate -13 by +13 both sides
-12u = 8w-16 So you are left with one value left side.
-12u/-12 = 8/-12 - 16/-12 Then divide all values by -12 to find value for u and keep the subtraction as 8 never had subtraction sign and no multiplication .
u = 8w-16 /-12 Then you can factor out the rest
This has made u the independent variable then you have a choice to continue showing or ignore u; as u =
= - 8(w-2)/12 Step 1 Factor with subtraction change from -12 to - central fraction
= - 2(w-2)/3 Step 2 Simplify with new minus sign for central fraction to replace a/-b
Answer:
6
Step-by-step explanation:
Given:
The graph of a function.
To find:
The domain and range of the given graph.
Solution:
Domain is the set of x-values or input values.
From the given graph it is clear that, the graph is defined for the interval (-4,4).
But there is a closed circle at x = -4 and an open circle at x = 4. It means, -4 is included and 4 is not included in the solution set.
Domain: [-4,4)
Domain: 
Range is the set of y-values or output values.
From the given graph it is clear that, the output values are lie in the interval (-3,4).
But there closed circle at x = -3 and x = 4. It means, -3 and 4 are is included in the set of output values.
Range: [-3,4]
Range: 
Therefore, domain is
and range is
.
Step-by-step explanation:
With the given points, we can first find the gradient of the line:
gradient = (2+1)/(-4-8)
= -1/4
We also know that the formula of a straight line is
Y = mX+C, where m is gradient and C is y intercept.
Hence by substituting the coordinates (-4, 2) and the gradient -1/4, we get:
2 = (-1/4)(-4) + C
<u>C = 1</u><u>.</u> Hence, Answer is C.
(Actually, you can just draw a straight line connecting the 2 coordinates and find out the y intercept)