All categories

3 years ago

In the system of equations below, a and b are constants. For which of the

Mathematics

1 answer:

snow_tiger [21]3 years ago

7 0

Answer:

Step-by-step explanation:

You might be interested in

A skating rink sold 66 tickets of these 2/3 were children's tickets and the rest were adult tickets. What total number of adult

Pavel [41]

22 is the answer to this

7 0

4 years ago

Read 2 more answers

A ball is thrown straight up from the top of a 40 feet tall building with an initial speed of 24 feet per second. The height of

rjkz [21]

Answer:

1)The ball hits the ground after 3 seconds.

2)The maximum height of the ball is 49 feet

3)It takes 1.25 seconds to reach its maximum height

Step-by-step explanation:

Height of building = 40 feet

We are given that A ball is thrown straight up from the top of building with an initial speed of 24 feet per second.

So, The height of the ball as a function of time can be modeled by: $h(t)=-16t^2+40t+24$

1)After how many seconds the ball hit the ground.

Substitute h(t)=0

So, $-16t^2+40t+24=0\\-2t^2+5t+3=0\\2t^2-5t-3=0\\2t^2-6t+t-3=0\\2t(t-3)+1(t-3)=0\\(2t+1)(t-3)=0\\t=\frac{-1}{2} , 3$

Since time cannot be negative

So,the ball hits the ground after 3 seconds.

2)What is the maximum height of the ball?

It takes maximum height at vertex

Formula : $t = \frac{-b}{2a}$

$t=\frac{-40}{2(-16)}=1.25 seconds$

Substitute the value of t in function

$h(1.25)=-16(1.25)^2+40(1.25)+24\\h(1.25)=49 feet$

So,the maximum height of the ball is 49 feet

3).How long did it take for the ball to reach its maximum height?

It takes 1.25 seconds to reach its maximum height

6 0

4 years ago

Write an<br> expression that is not a polynomial.<br> Explain why it is not a polynomial.

mina [271]

Y=2x^-5 because polynomials should only contain positive exponents

4 0

3 years ago

A 23.7-foot tall flagpole casts a 42-foot shadow. What is the angle that the sun hits the flagpole? Express your answer in DMS

svp [43]

Answer:

60.6°

Step-by-step explanation:

Using trigonometry :

Opposite = Height of shadow = 42 feets

Adjacent = height of flagpole = 23.7 feets

Tan θ = opposite / Adjacent

Tan θ = height of shadow / height of flagpole

Tan θ = 42 / 23.7

Tan θ = 1.7721518

θ = tan^-1(1.7721518)

θ = 60.56

θ = 60.6°

4 0

3 years ago

Jess bought a can of paint, whose label stated that the contents of the can were su cient to cover 150 square feet. The surface

professor190 [17]

This is not an appropriate way of completing your homework.

5 0

3 years ago