Answer: First, write the equation,
t² - 15 = 0
Now, we shift the (-15) to RHS,
t² = 15
So, t = - √15 = -3.87 or + √15 = + 3.87
Answer:
561
Step-by-step explanation:
an = dn - (a-d)
The difference is 3.
The first term is 12.
an = 3n - (12-3)
an = 3n - 9
Put n as 1, 2, 3, 4, 5 ....22.
3(1) - 9 = -6
3(2) - 9 = -3
3(3) - 9 = 0
3(4) - 9 = 3
3(5) - 9 = 6
...
3(22) - 9 = 57
Add the first 22 terms.
-6+-3+0+3+6+9+12+15+18+21+24+27+30+33+36+39+42+45+48+51+54+57
= 561
Answer:
i think you have to count till you get to 4 or 3 then the remaining you plus with the 3
Answer:
B. x^3 + 3x^2
Step-by-step explanation:
Volume of a rectangular prism=width * length * height
V=w*l*h
h=3 greater than the length of the base
h=x+3
Length of the base=x
Width=x
Substituting values into the formula
V=w*l*h
=(x)*(x)*(x+3)
Multiplying
=(x^2)(x+3)
=x^3 + 3x^2
Option B is the correct answer
Answer:
The function of g(x) = 5x + 2
Step-by-step explanation:
Let us use the composite function to solve the question
∵ f(x) = 2x - 1
∵ f(g(x)) = 10x + 3
→ f(g(x)) means substitute x in f(x) by g(x)
∴ f(g(x)) = 2[g(x)] - 1
→ Equate the two right sides of f(g(x))
∴ 2[g(x)] - 1 = 10x + 3
→ Add 1 to both sides
∴ 2[g(x)] - 1 + 1 = 10x + 3 + 1
∴ 2[g(x)] = 10x + 4
→ Divide each term into both sides by 2
∵ ![\frac{2[g(x)]}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B2%5Bg%28x%29%5D%7D%7B2%7D)
= 
+ 
∴ g(x) = 5x + 2
∴ The function of g(x) = 5x + 2
