Answer:
x = 6 and y = - 6
Step-by-step explanation:
- 4 x - 2 y = -12.......equ No 1
4 x + 8y = - 24.......equ No 2
Adding equ No 1 and equ No 2
6 y = - 36
∴ y = - 6
substitute y = - 6 in equ No 2
4 x + 8 y = -24
4 x + 8 ×( -6) = - 24
4 x - 48 = -24
4 x = -24 + 48
4 x = 24
∴ x = 6
x = 6 and y = - 6
Answer:
Step-by-step explanation:
Let L be the given line, then, with a slope of -8
L : y = -8x + b
where b is to be determined from the included point A(-10,0).
Substitute point A in L to get
0 = -8 (-10) + b
solve to get
b = -80
therefore
L : y = -8x -80
Now substitute B(-9,z) in L
z = -8(-9) - 80 = -8
Between 1 and 2 would be decimals.
E.g: 1.1, 1.2,1.3 etc
7x-3=7x+5
+3 +3
7x=7x+8
-7x-7x
x=8
<h3>
Answer: D) The y intercept is (0,1)</h3>
This can be confirmed by plugging x = 0 into the function to find that...
y = (1/2)^x
y = (1/2)^0
y = 1
Recall that any nonzero value to the 0th power leads to 1. So we can say x^0 = 1 as long as x is not zero.
---------------
Extra info (optional section):
- We can rule out choice A because negative x values work in the domain. For instance, if x = -1, then it leads to y = (1/2)^x = (1/2)^(-1) = 2. The negative exponent will apply the reciprocal operation to the base fraction.
- Choice B can also be ruled out because the range is y > 0. Or you could note that it is possible to get positive y values smaller than 1/2. Try x = 2 and you'll see it leads to y = 1/4 which is not greater than 1/2.
- Choice C is false as well. The function f(x) = (1/2)^x is decreasing throughout the domain. A graph visually would show this due to it going downhill when moving from left to right. A table of values is a non-visual way to see we have a decreasing function. The table would show that y decreases when x increases.
