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love history [14]

3 years ago

11

Find the constant of proportionality for the table of values

1 answer:

elena-14-01-66 [18.8K]3 years ago

3 0

The proportionality for the table values would be an increasing value of 1.5y for every X.

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What is the y-intercept of the quadratic function f(x) = (x – 8)(x + 3)?

frez [133]

Answer:

y-intercept is -24

Step-by-step explanation:

The solution is in the picture

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3 years ago

A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by th

olchik [2.2K]

Answer:

14.52 seconds.

Step-by-step explanation:

We have been given that the height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation $y=-16x^2+224x+121$ . We are asked to find the time, when the rocket will hit the ground.

We know that the rocket will hit the ground, when height will be 0. So to find the time when rocket will hit the ground, we will substitute $y=0$ in our given equation as:

$0=-16x^2+224x+121$

Let us solve for x using quadratic formula.

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

$x=\frac{-224\pm\sqrt{224^2-4(-16)(121)}}{2(-16)}$

$x=\frac{-224\pm\sqrt{50176+7744}}{-32}$

$x=\frac{-224\pm\sqrt{57920}}{-32}$

$x=\frac{-224\pm240.66574}{-32}$

$x=\frac{-224+240.66574}{-32}, x=\frac{-224-240.66574}{-32}$

$x=\frac{16.66574}{-32}, x=\frac{-464.66574}{-32}$

$x=-0.520804375, x=14.520804375$

Upon rounding to nearest 100th of second, we will get:

$x\approx -0.52, x\approx 14.52$

Since time cannot be negative, therefore, the rocket will hit the ground after 14.52 seconds.

6 0

3 years ago

Read 2 more answers

Y = - 2x + 1<br> 2x - 2y = 4<br> Solve systems of equations by substitutions

astraxan [27]

Answer:

x= 1

y= -1

Step-by-step explanation:

y=-2x+1

2x-2y=4

substitute for y

2x-2(-2x+1)=4

reduce

2x+4x-2=4

6x=6

x=1

y= -2(1)+1

y= -1

6 0

3 years ago

The amount spent (in billions of dollars) for ads online is shown. (The numbers for 2016 through 2019 are projected numbers.) Dr

netineya [11]

Answer:

Step-by-step explanation:

A time series graph is one

4 0

3 years ago

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An object is moving at a speed of 920 yards every 3.5 hours Express the speed in miles per week

Kaylis [27]

Answer:

25.05 miles per week

Step-by-step explanation:

We know that,

1 mile = 1760 yards

⇒ 920 yards = 0.522 mile

1 week = 168 hour

We need to find ts speed in miles per week.

Speed = distance/time

$v=\dfrac{920\ \text{yards}}\\\\v=\dfrac{0.522\ \text{miles}}{\dfrac{3.5}{168}\ \text{week}}\\\\v=25.05\ \text{miles/week}$

So, the speed of the object is 25.05 miles per week.

6 0

3 years ago