Answer:
We conclude that:
f(a) + 5 = a² + 8a - 5
Step-by-step explanation:
Given
The function is given by
f(x) = x²+8x-10
To determine
f(a)+5
In order to determine f(a)+5, first, we need to determine f(a).
Now substitute x = a in the function f(x) = x²+8x-10
f(a) = (a)² + 8(a) - 10
f(a) = a² + 8a - 10
Thus,
f(a) + 5 = (a² + 8a - 10) + 5
f(a) + 5 = a² + 8a - 5
Therefore, we conclude that:
f(a) + 5 = a² + 8a - 5
Answer:
Yes
Step-by-step explanation:
A function is a function when each domain is paired with exactly 1 range. So, this also means that there can't be a domain with more than 1 of the same number. Meaning 2 3's or 4 2's.
Answer: The annual flow of the Mississippi river would fit in the Atlantic ocean 
times.
Step-by-step explanation:
Given: Volume of Atlantic Ocean= 
cubic meters
Annual flow of Mississippi river = 
cubic meters.
then, the number of times the annual flow of the Mississippi river would fit in the Atlantic ocean = 
![=\dfrac{3.1\times10^{17}}{6.3\times10^{11}}\ \ \=0.492063492063\times10^{17-11}\ \ [\dfrac{a^m}{a^n}=a^{m-n}]\\\\=0.492063492063\times10^6\approx4.92\times10^5](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B3.1%5Ctimes10%5E%7B17%7D%7D%7B6.3%5Ctimes10%5E%7B11%7D%7D%5C%20%5C%20%5C%3D0.492063492063%5Ctimes10%5E%7B17-11%7D%5C%20%5C%20%5B%5Cdfrac%7Ba%5Em%7D%7Ba%5En%7D%3Da%5E%7Bm-n%7D%5D%5C%5C%5C%5C%3D0.492063492063%5Ctimes10%5E6%5Capprox4.92%5Ctimes10%5E5)
Hence, the annual flow of the Mississippi river would fit in the Atlantic ocean times.
Answer:
x = 19
Step-by-step explanation:
The two angles form a right angle
A right angle has a measure of 90 degrees
Thus, x + 14 + 3x = 90
^This is the equation we will use to solve for x
x + 14 + 3x = 90
step 1 combine like terms
x + 3x = 4x
we now have 4x + 14 = 90
step 2 subtract 14 from each side
90 - 14 = 76
14 - 14 cancels out
we now have 76 = 4x
step 3 divide each side by 4
4x / 4 = x
76 / 4 = 19
we're left with x = 19
Answer:
I don't know the answer, but i know how to solve it. you have to do y/x to find the slope. One equation could be y=mx=b. Or y=mx. Or ax+by=c. then plot your points and replace m and b with the right coordinates.
Step-by-step explanation:
