Answer:
-7
Step-by-step explanation:
-2 + 3v = -23 >> -2 + 23 = -3v >> 21 = -3v >> v = -7
Answer:
x=13
Step-by-step explanation:
9^2 * 27^3 = 3^x
We need to get each term with a base of 3
9^2 = (3^2) ^2
We know that a^b^c = a^(b*c)
(3^2) ^2 = 3^(2+2) = 3^4
27^3 = (3^3) ^3 = 3^(3*3) = 3^9
Replacing these in the original equation
3^4 * 3^9 = 3^x
We know that a^b *a^c = a^(b+c)
3^4 * 3^9 =3^(4+9) = 3^13 = 3^x
The bases are the same, so the exponents must be the same
x=13
Answer:
5x⁴ + 5x³
Explanation:
We are given that:
f (x) = 5x³
g (x) = x + 1
Now, (f · g)(x) means that we will simply multiply the two functions as follows:
(f · g)(x) = f (x) · g (x)
(f · g)(x) = 5x³ (x + 1)
(f · g)(x) = 5x⁴ + 5x³
Hope this helps :)
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Answer:
After 22 seconds the projectile reach its maximum height of 4,840 units
Step-by-step explanation:
we have
This is a vertical parabola downward (because the leading coefficient is negative)
The vertex is a maximum
Find out the coordinates of the vertex
Convert the quadratic equation in vertex form
Factor -10
Complete the square
Rewrite as perfect squares
The vertex is the point (22,4,840)
therefore
After 22 seconds the projectile reach its maximum height of 4,840 units
