1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Papessa [141]
3 years ago
11

Daniel dives into a swimming pool. The height of his head is represented by the function h(t) = -8t2 - 28t + 60, where t is the

time in seconds and h(t) is the height of his head, in inches.
How many seconds will it take for Daniel's head to reach the surface of the pool?
Mathematics
1 answer:
8_murik_8 [283]3 years ago
6 0
So, h(t) is how far is Daniel's head from the surface of the water, namely the surface itself is when the height is nill, so his head is at the surface and the height of it is just 0, thus h(t)  = 0.  Namely, what is "t" when h(t) is 0?

\bf h(t)=-8t^2-28t+60\implies \stackrel{h(t)}{0}=-8t^2-28t+60
\\\\\\
0=-2t^2-7t+15\implies 2t^2+7t-15=0\implies (2t+3)(t-5)=0
\\\\\\
\begin{cases}
2t+3=0\implies 2t=-3\implies &t=-\frac{3}{2}\\\\
t-5=0\implies &\boxed{t=5}
\end{cases}

clearly the seconds cannot be a negative unit, so is not -3/2.
You might be interested in
Find the domain of the function
krok68 [10]

Answer:

Domain should be Df = {x>-1}

Step-by-step explanation:

Insert the g(x) into the x of f(x) function. Then let the denominator of the fg(x) = 0 <em>(</em><em>u</em><em>n</em><em>d</em><em>e</em><em>f</em><em>i</em><em>n</em><em>e</em><em>d</em><em>)</em>. Find x.

4 0
3 years ago
Read 2 more answers
Sanja made a hole-in-one on the sixth hole of miniature golf 8 times and missed it 4 times. If Sanja attempts 24 more holes-in-o
hram777 [196]

Answer:

16 holes in ones

Step-by-step explanation:

I just did the guiz and got that one right

7 0
3 years ago
Read 2 more answers
9. What is the slope of the line through the points (-2, -1) and (4, 3)?
Fofino [41]

Step-by-step explanation:

given points,

(-2, -1) and (4,3)

we know,

slope of line = y_2 - y_1/ x_2 - x_1

x_1 and y_1 = -2 , -1

x_2 and y_2 = 4 , 3

according to the formula

3 - (-1)/4 - (-2)

→ 3 + 1/4 + 2

→ 4/6

→ 2/3

or (2,3)

therefore, slope of the given line is (2,3).

Hope this answer helps you dear!

4 0
2 years ago
If a is an integer, prove that (14a + 3, 21a + 4) = 1.
Firdavs [7]

Answer:

(14a+3, 21+4) = 1

Step-by-step explanation:

We are going to use the Euclidean Algorithm to prove that these two integers have a gcd of 1.

gcd (14a + 3, 21a + 4) = gcd (14a+3, 7a + 1) = gcd (1, 7a+1) = 1

Therefore,

(14a + 3, 21a + 4) = 1

8 0
2 years ago
A train traveled 504 miles in 8 hours. A bus traveled 531 miles in 9 hours. Which mode of transportation has the faster rate?
OlgaM077 [116]
The train because it travels at 63 mph while the bus is 59 mph
3 0
2 years ago
Read 2 more answers
Other questions:
  • a quarter back completed 35% of his passes last year if he completed 56 passes how many attempts did he make ?
    9·1 answer
  • The population of a small town is 40,740. It's population falls by 8% per year. How many years later will the population be 14,5
    7·1 answer
  • the cost was 27.00$ before tax what expressions can be used to figure the total cost with tax let x represent the amount before
    13·1 answer
  • What time it's<br> self equals 24
    6·2 answers
  • A national poll reported that 58% of those with Internet access have made purchases online. To investigate whether this percenta
    11·1 answer
  • MM13 (Minute Math 13) 7th Grade Math
    7·2 answers
  • I need help
    12·1 answer
  • On Saturday, Luke drove 5x − 4 miles. On Sunday, he drove 3x − 3 miles. What is the difference in miles driven?
    6·1 answer
  • Please answer them! Thank you!
    8·1 answer
  • Write the equation for the line that passes through the point (-6, 2)
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!