Answer:
Step-by-step explanation:
→ Find the LCM of the denominators (2,4 and 8)
LCM = 8
→ Multiply the whole equation by 8 to get rid of the fractions
4x + 6 = 7
→ Minus 6 from both sides to isolate 4x
4x = 1
→ Divide both sides by 4 to isolate x
A function assigns the values. The value of (p·p)(x) is x⁴ + 10x³ + 30x² + 25x.
<h3>What is a Function?</h3>
A function assigns the value of each element of one set to the other specific element of another set.
Given p(x)= x²+5x, therefore, the value of (p·p)(x) can be written as,
(p·p)(x) = p(p(x))
= (x²+5x)²+5(x²+5x)
= x⁴ + 25x² + 10x³ + 5x² + 25x
= x⁴ + 10x³ + 30x² + 25x
Hence, the value of (p·p)(x) is x⁴ + 10x³ + 30x² + 25x.
Learn more about Function:
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Answer:
P is the principal amount, $200.00.
r is the interest rate, 2% per year, or in decimal form, 2/100=0.02.
t is the time involved, 15....year(s) time periods.
So, t is 15....year time periods.
To find the simple interest, we multiply 200 × 0.02 × 15 to get that:
The interest is: $60.00
Answer:
max. height = 240
Step-by-step explanation:
Function should be h(t ) = - 16t² + 96t
find the zeros by solving h(t) = 0
- 16t² + 96t = 0 ( take out common factor - 16t )
- 16t(t - 6) = 0
equate each factor to zero and solve for t
- 16t = 0 ⇒ t = 0
t - 6 = 0 ⇒ t = 6
the maximum vertex is at the midpoint of the zeros
t = = 3
h(3) = (- 16 × 3) + (96 × 3) = - 48 + 288 = 240 ← max. height