Y=-3x-2
subsitute -3x-2 for y
-7x+3(-3x-2)=10
distribute
a(b+c)=ab+ac
3(-3x-2)=-9x-6
-7x-9x-6=10
add like terms
-16x-6=10
add 6
-16x=16
multiply -1
16x=-16
divide 16
x=-1
subsitute
y=-3x-2
y=-3(-1)-2
y=3-2
y=1
x=-1
y=1
(x,y)
(-1,1)
Answer: 9
Step-by-step explanation:
Use Pythagorean's Theorem for a right triangle.
Answer:
4 inches
Step-by-step explanation:
Every 25 miles the map shows 1 inch
100 miles is equal to 4 x 25 miles, thus 100 miles on the map will be 4 times longer than 1 inch => 4 inches
Answer: 350/12
I think 29 2/12 can be also true because they didn't simplify the 2/12 to 1/6.
Step-by-step explanation:
You'll have to use the basic formula for volume is length × width × height. The sample box has the area of 23 1/3 which is found by length x width. They give you the height 1 1/4. I am assuming you will need to multiply 23 1/3 by 1 1/4. You'll get 350/12.
If it's simplify further it will be 175/6 or 29 1/6 as a mixed fraction.
Answer:
Step-by-step explanation:
We have the function:
![h(x)=f[f(x)]](https://tex.z-dn.net/?f=h%28x%29%3Df%5Bf%28x%29%5D)
And we want to find:
So, we will differentiate function <em>h</em>. By the chain rule, this yields:
![h^\prime(x)=f^\prime[f(x)]\cdot f^\prime(x)](https://tex.z-dn.net/?f=h%5E%5Cprime%28x%29%3Df%5E%5Cprime%5Bf%28x%29%5D%5Ccdot%20f%5E%5Cprime%28x%29)
Then it follows that:
![h^\prime(1)=f^\prime[f(1)]\cdot f^\prime(1)](https://tex.z-dn.net/?f=h%5E%5Cprime%281%29%3Df%5E%5Cprime%5Bf%281%29%5D%5Ccdot%20f%5E%5Cprime%281%29)
Using the table, we acquire:
And using the table again, we acquire:
Evaluate. Hence:
