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Ulleksa [173]
2 years ago
11

Write an expression that represents the

Mathematics
1 answer:
jonny [76]2 years ago
6 0

Answer: x-3

Step-by-step explanation:

3x+3-(2x+6)

= 3x+3-2x-6

3x-2x+3-6

x+3—6

Answer=  x-3

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The height H of an ball that is thrown straight upward from an initial position 3 feet off the ground with initial velocity of 9
mariarad [96]

Answer:

The ball will be 84 feet above the ground 1.125 seconds and 4.5 seconds after launch.

Step-by-step explanation:

Statement is incorrect. Correct form is presented below:

<em>The height </em>h(t)<em> of an ball that is thrown straight upward from an initial position 3 feet off the ground with initial velocity of 90 feet per second is given by equation </em>h(t) = 3 +90\cdot t -16\cdot t^{2}<em>, where </em>t<em> is time in seconds. After how many seconds will the ball be 84 feet above the ground. </em>

We equalize the kinematic formula to 84 feet and solve the resulting second-order polynomial by Quadratic Formula to determine the instants associated with such height:

3+90\cdot t -16\cdot t^{2} = 84

16\cdot t^{2}-90\cdot t +81 = 0 (1)

By Quadratic Formula:

t_{1,2} = \frac{90\pm \sqrt{(-90)^{2}-4\cdot (16)\cdot (81)}}{2\cdot (16)}

t_{1} = 4.5\,s, t_{2} = 1.125\,s

The ball will be 84 feet above the ground 1.125 seconds and 4.5 seconds after launch.

3 0
3 years ago
Help!!!! I really need help with this I don’t understand it!!!
Temka [501]

9514 1404 393

Answer:

  y = 5

Step-by-step explanation:

There are a number of ways to get there, but the short of it is that a horizontal line has the equation ...

  y = constant

The constant value must be chosen to match the y-value of points on the line. Here, that is 5. The equation of the line is ...

  y = 5

_____

<em>Another way</em>

You can write the equation in slope-intercept form if you know the slope and the y-intercept. The line crosses the y-axis at y = 5, so that is the value of the y-intercept.

The "rise" between the two points is 5 -5 = 0. The "run" between the two points is 5-0 = 5, so the slope is ...

  m = rise/run = 0/5 = 0

Then the slope-intercept equation is ...

  y = mx + b . . . . . where m is the slope and b is the y-intercept

  y = 0x +5

Simplifying, we get ...

  y = 5

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In APRT, PS = 12 cm, UV = 2 cm, and ST = 7 cm. What is the measure of RV?​
Bezzdna [24]

Answer:

Which real-world situation involves division with a negative number?

splitting a $22.5 million company debt evenly among 2.4 million shareholders

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Step-by-step explanation:

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Margo borrows $1900, agreeing to pay it back with 6% annual interest after 13 months. How much interest will she pay?
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