Answer:
The rate of change is -5
The initial value is 25
Step-by-step explanation:
Since, this is a linear relation
so, we can select any two points and find equation of line
points are (1,20) and (3,10)
so,


now, we can find slope

now, we can plug values


now, we can use point slope form of line

now, we can plug values

now, we can solve for y

we know that
slope is the rate of change
So, the rate of change is -5
For finding initial value , we can plug x=0 and find y


So, initial value is 25
Answer:
130,110,40,90,165
Step-by-step explanation:
supplementary angles add up to 180
so 180-50= 130
180-70=110
etc
Answer:
[See Below]
Step-by-step explanation:
✦ First split the equation in little pieces and solve them:
✧ 4 - 16 = -12
✧ 4 + 4² = 20 (4² = 16)
✦ Now divide them:
✧ -12 ÷ 20 = -0.6
So I'm guessing you're trying to simplify 4²... so it'd be 16 because none of the choices are the simplified version of the problem.
~<em>Hope this helps Mate. If you need anything feel free to message me.</em>
Answer:
x = 1/2
Step-by-step explanation:
First you want to get rid of the fraction, so you can multiply both sides of the equation by 3.
9 = 2x + 8
Then, subtract 8 from both sides to get x by itself.
1 = 2x
Finally, divide both sides by 2 so you only have one x
1/2 = x
This means that the answer is x = 1/2.
Answer:
x²-8x-1=0
comparing above equation with ax²+bx+c=0
a=1
b=-8
c=-1
x=

=(--8+-√(64-4×1×-1)/2×1
=8+-√(64+4)/2
taking positive
x=(8+√68)/2=2(4+√17)/2=4+√17
taking negative
x=(8-√68)/2=2(4-√17)/2=4-√17