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hjlf
3 years ago
12

Daniel kicks a soccer ball and the trajectory is modeled by f(t) =− 16t^2+ 32t .

Mathematics
1 answer:
vagabundo [1.1K]3 years ago
3 0

Answer:

f(1) = 16

Domain: 0 ≤ t ≤ 2

Step-by-step explanation:

Given

f(t) = -16t²+ 32t

Solving (a): f(1)

Substitute 1 for t in f(t)

f(t) =− 16t²+ 32t .

f(1) =− 16 * (1)²+ 32 * 1

f(1) = -16 * 1 + 32

f(1) = -16 + 32

f(1) = 16

Solving (b): The domain

The implication of the given parameter in (b) is that t ≤ 2.

Since t represents time, t can't be negative.

Hence, a reasonable domain is

0 ≤ t ≤ 2

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Without graphing, where will the line y=7x-2 cross the y axis?
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Answer:

The line crosses the y-axis at -2

Step-by-step explanation:

y = mx + b    'm is the slope and b is the y-intersect (the place where the graph comes across the y-axis.

y = mx + b; y = mx + b; b = -2.  

5 0
3 years ago
Solve this equation log3X + log3(x-6) = log3 7
ExtremeBDS [4]

Hello!

log₃(x) + log₃(x - 6) = log₃(7) <=>

<=> log₃(x * (x - 6)) = log₃(7) <=>

<=> log₃(x² - 6x) = log₃(7) <=>

<=> x² - 6x = 7 <=>

<=> x² - 6x - 7 = 0 <=>

<=> x² + x - 7x - 7 = 0 <=>

<=> x * (x + 1) - 7 * (x + 1) = 0 <=>

<=> (x + 1) * (x - 7) = 0 <=>

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<=> x = -1 and x = 7, x ∈ { 6; +∞ } <=>

<=> x = 7

Good luck! :)

3 0
3 years ago
What is the GCF of 48m5n and 81m2n2
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3 years ago
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sweet [91]
Can u show us a pic of the question
4 0
3 years ago
Can someone please help me?:\
katrin [286]

The circumference of the top of the cake is 9.5\pi\approx29.845 in.

It sounds like the baker is trying to line the circumference with cherriesto fit as many as possible along the border, like in the picture I've attached below.

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7 0
3 years ago
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