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
Vitek1552 [10]
3 years ago
6

A basketball is thrown upward from a height of 6 feet at an initial speed of 15 feet per second. As the basketball travels, Eart

h's gravity slows it down.
The height of an object dropped from a height of 6 feet is given by h(t)=−16t2+6.

The distance in feet traveled by an object at a constant speed of 15 feet per second is given by d(t)=15t.

These two functions can be combined to build a new function, f, that models the height of the basketball as a function of time in t seconds.

Which choice shows how to combine h and d to build f

Mathematics
1 answer:
iren [92.7K]3 years ago
8 0

Answer: f(t)=h(t)+d(t)

f(t)=-16t^2+15t+6

Step-by-step explanation:

I just got this question right

You might be interested in
Given h(x) = –2 – 3, find h(-6).
igomit [66]

Answer

3

Step-by-step explanation:

h(-6)=-(-6)-3

h(-6)=6-3

h(-6)=3

4 0
3 years ago
I need help with number 3 please and thank you
murzikaleks [220]
So here we're dealing with equivalent fractions.
It's really simple to find the answer, so I'll try to explain the best I can.

2 dogs / 5 cats is really just 2/5.
If we want to find an equivalent fraction, we have to multiply the numerator and the denominator by the same number.

Currently the number of cats is 5, and we need it to be 140. What we need to do is find the number it has to be multiplied by to equal 140, which is 140 divided by 5. 140 divided by 5 is 28, so 5 x 28 = 140!

We need to multiply the denominator (5) by 28, so that we can get 140. What we have now is ?/140.

Like I said, to find an equivalent fraction, we need to multiply the numerator by the same number as we did the denominator, which is 28!

2 x 28 = 56.

So 2/5 is the same as 56/140.

The answer is D) 56 Dogs/140 Cats.

Hope this helps!
If you're confused about anything leave me a reply and I'll try to explain the best that I can!
3 0
3 years ago
State which of the following sets of ordered pairs represent a function.
zalisa [80]

Answer:

Option (D) is correct.

Step-by-step explanation:

A function can be termed as a process from a set of x values to a set of possible y-values where each x-value relates to exactly one y-value.

In other words, a relation can only be a function there is no repetition of x-values. It means a relation can not have duplicated inputs.

Given the sets

Set A: (5,2), (4, 3), (3, 4), (2,5)

Set B: (-1,-6), (0, 2), (1, 2), (3, 6)

Set C: (2, 1), (4, 2), (2, 3), (8,4)

It is clear that sets A and B represent the function because, in these sets, each x-value relates to exactly one y-value. In other words, there are no duplicated inputs.

But, set C has duplicated inputs i.e. x = 2 is repeated twice, and a function can not have a repeated input.

Therefore, we conclude that set A and set B represent a function.

Thus, option (D) is correct.

7 0
3 years ago
What are the real and complex solutions of the polynomial equation? x^3-8=0. with imaginary numbers
seraphim [82]

Answer:

Solutions are 2,  -1 +  0.5 sqrt10 i  and -1 - 0.5 sqrt10 i

or 2,  -1 +  1.58 i  and -1 - 1.58i

(where the last 2 are equal to nearest hundredth).


Step-by-step explanation:

The real solution is x = 2:-

x^3 - 8 = 0

x^3 = 8

x = cube root of 8 = 2

Note that a cubic equation must have  a total of 3 roots ( real and complex in this case).  We can find the 2 complex roots by using the following identity:-

a^3 - b^3 = (a - b)(a^2 + ab + b^2).

Here  a = x and b = 2 so we have

(x - 2)(x^2 + 2x + 4) = 0

To find the complex roots we solve x^2 + 2x + 4 = 0:-

Using the quadratic formula x = [-2 +/- sqrt(2^2 - 4*1*4)] / 2

= -1 +/- (sqrt( -10)) / 2

= -1 +  0.5 sqrt10 i  and -1 - 0.5 sqrt10 i

4 0
2 years ago
Read 2 more answers
If GE=42 and DH=16, find GF
Sergeu [11.5K]
DGFH is a rhombus where E is the midpoint of the lines GE and GF
please look at the image 

7 0
3 years ago
Other questions:
  • Which expression is equivalent to (3 x minus 5 y) + (x + 2 y)?
    11·2 answers
  • 82,321 to the nearest hundred ?
    8·1 answer
  • A bowl of cereal weighs 60 oz how heavy is it in L
    10·2 answers
  • Which expression is equivalent to (01.05 LC) 3 to the 2 power 3 to the -5 power
    15·1 answer
  • How do I answer this question
    12·2 answers
  • Write the equation of the line in slope-intercept form that has a slope of -1/2 and goes through the point (2,3)
    6·1 answer
  • How do u make lean purple and how does it get purple and instructions??!!
    11·1 answer
  • Given f(x)=x2+2x−8, find f(−2).
    15·2 answers
  • Solve the equation 2x + 21/5 = 9
    11·2 answers
  • Mary measured the heights of two different plants every day. Plant A was 1 inch tall when
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!