Answer:
y = 2 x minus 6
Step-by-step explanation:
(-6,-18) and (-1,-8)
Slope: (-8 - -18)/(-1 - -6)
10/5
2
y = 2x + c
-8 = 2(-1) + c
-8 = -2 + c
c = -6
y = 2x - 6
y = 2x - 4
Rule for 1 is the rule for 1 is 14 times 3.5^x and it is exponential
The second one is is also exponential and the rule is 32 times .25^x and the last one is is linear and the rule is 5x+-4
Answer:
a = 1/2 (1 ±sqrt(47))
Step-by-step explanation:
a^2-a+12=0
We will complete the square
Subtract 12 from each side
a^2-a+12-12=0-12
a^2-a=-12
The coefficient of a = -1
-Divide by 2 and then square it
(-1/2) ^2 = 1/4
Add it to each side
a^2 -a +1/4=-12 +1/4
(a-1/2)^2 = -11 3/4
(a-1/2)^2= -47/4
Take the square root of each side
sqrt((a-1/2)^2) =sqrt(-47/4)
a-1/2 = ±i sqrt(1/4) sqrt(47)
a-1/2= ±i/2 sqrt(47)
Add 1/2 to each side
a-1/2+1/2 = 1/2± i/2 sqrt(47)
a = 1/2± i/2 sqrt(47)
a = 1/2 (1 ±sqrt(47))
Combine like terms:
11u+4v
Answer
Attached the graph
Step by step explanation
Y = -1/4z + 5
Let's form the table values
Here z is the independent variable and y is the dependent values.
Let's take z = -1, 0, 1, 2 and find the corresponding y-values
<u>z y</u>
-1 5.25
0 5
1 4.75
2 4.5
Now let's plot the points and draw the graph.
Here is the graph.
