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
Alina [70]
2 years ago
6

H=7+44t-16^2

Mathematics
1 answer:
djyliett [7]2 years ago
5 0

Answer:

t_1\approx2.18

t_2\approx0.57

Step-by-step explanation:

h=7+44t-16t^2

27=7+44t-16t^2

0=-20+44t-16t^2

0=-16t^2+44t-20

t=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

t=\frac{-44\pm\sqrt{44^2-4(-16)(-20)}}{2(-16)}

t=\frac{-44\pm\sqrt{1936-1280}}{-32}

t=\frac{-44\pm\sqrt{656}}{-32}

t=\frac{-44\pm4\sqrt{41}}{-32}

t=\frac{11}{8}\pm\frac{\sqrt{41}}{8}

t_1\approx2.18

t_2\approx0.57

You might be interested in
Help me please, asap i’m so confused :(
amm1812
What is the lalalallalalalaa
8 0
2 years ago
DON'T MIND JUSTIN BIEBER (05.01)
vivado [14]
A line does not describe a slope.


3 0
2 years ago
Read 2 more answers
A number is multiplied by 5,and then 3 is subtracted from the product.the result is 12.find the number
Allushta [10]
The number is 3. The math is 5 x 3 = 15 15 - 3 = 12
7 0
2 years ago
Read 2 more answers
Plz help!
beks73 [17]

First, you need to find the derivative of this function.  This is done by multiplying the exponent of the variable by the coefficient, and then reducing the exponent by 1.  

f'(x)=3x^2-3

Now, set this function equal to 0 to find x-values of the relative max and min.

0=3x^2-3

0=3(x^2-1)

0=3(x+1)(x-1)

x=-1, 1

To determine which is the max and which is the min, plug in values to f'(x) that are greater than and less than each.  We will use -2, 0, 2.

f'(-2)=3(-2)^2-3=3(4)-3=12-3=9

f'(0)=3(0)^2-3=3(0)-3=0-3=-3

f'(2)=3(2)^2=3(4)-3=12-3=9

We examine the sign changes to determine whether it is a max or a min.  If the sign goes from + to -, then it is a maximum.  If it goes from - to +, it is a minimum.  Therefore, x=-1 is a relative maximum and x=1 is a relative miminum.

To determine the values of the relative max and min, plug in the x-values to f(x).

f(-1)=(-1)^3-3(-1)+1=-1+3+1=3

f(1)=(1)^3-3(1)+1=1-3+1=-1

Hope this helps!!

7 0
3 years ago
Suppose that a scuba diver is currently 34 feet below sea level. If he descends at a rate of 2 feet per minute, in how many minu
siniylev [52]
-126 = -34 + 2x is the equation you would use. solve for x, which would be -46. it would take 46 minutes for the diver to reach 126 feet below sea level.
7 0
2 years ago
Other questions:
  • Can someone help me with this
    10·1 answer
  • (7.9-5.1)x(0.2+0.8)=?
    15·1 answer
  • Leah is six years older than her sister Sue John is five years older than Leah the sum of their ages is 41 how old is Sue
    6·2 answers
  • How do u divide fractions
    10·1 answer
  • Find the surface area of a cylinder with a base diameter of 8 yd and a height of 8 yd. Use the value 3.14 for , and do not do an
    15·1 answer
  • The equation x+(75.3−x)=75.3 represents the sum of two angles. How many possible combinations of angle measures satisfy these co
    11·1 answer
  • Help me do this plzzzzzzz
    14·1 answer
  • Maranda earns $42 in three hours Jabrill earn $78 in six hours which worker earns more per hour
    10·1 answer
  • Evaluate this exponential expression 7 • (6+2)^2 - 3^2=
    13·1 answer
  • QS∥PT. Complete the proof that m∠P+m∠T=m∠RQT without using the Triangle Angle Sum Theorem.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!