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kherson [118]
3 years ago
15

Simplify the expression. -2x + -5 + 8x + -4 Question 3 options:

Mathematics
1 answer:
Leokris [45]3 years ago
5 0

6x + (-9) or 6x - 9

Try looking at the terms for the same things. Such as the variable like X and the negatives add together and make a negative

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A model rocket is launched with an intitial upupward velocity of 202 ft/s. The rocket’s height h (in feet) after seconds is give
dsp73

Given that the height of a object thrown within a gravitational field is given as a quadratic equation in time, <em>t</em>, the time at which the object is at a specified height can be found by the quadratic formula

The values of, <em>t</em>, for which the height of the rocket is 82 feet are;

t = 12.21 seconds or t = 0.42 seconds

Question: <em>Parts of the question that appear missing but can be found online are (i) To find the values of the time, t, when the rocket's height is 82 feet and round answers to the nearest hundredth</em>

The known parameters of the rocket are;

The initial upward velocity of the rocket, v = 202 ft./s

The given function representing the height, <em>h</em>, (in feet) after <em>t</em> seconds is presented as follows;

H = 202·t - 16·t²

The unknown;

The time for which the height of the rocket is 82 feet

Method;

Substitute H = 82 feet in the height function equation and solve for <em>t</em> as follows;

When H = 82, we get;

82 = 202·t - 16·t²

Therefore;

16·t² - 202·t + 82 = 0

Dividing the above equation by <em>2</em> gives;

(16·t² - 202·t + 82)/2 = 0/2

8·t² - 101·t + 41 = 0

By using the quadratic formula, we get;

\mathbf{t = \dfrac{101 \pm \sqrt{(-101)^2 - 4 \times 8 \times 41} }{2 \times 8}  =  \dfrac{101 \pm \sqrt{8889} }{16}}

Therefore, the values of <em>t</em> given by rounding off to the nearest hundredth are;

t = 12.21 or t = 0.42

The values of the time, <em>t</em>, at which the height of the rocket is 82 feet are t = 12.21 seconds or t = 0.42 seconds

Learn more about equation models of height as a function of time here;

brainly.com/question/84352

7 0
3 years ago
What is .04 as a mixed number
statuscvo [17]
<span>Step 1: 0.4 = 4⁄10</span> 
<span>Step 2: Simplify 4⁄10 = 2⁄5</span> 

<span>
</span>
3 0
3 years ago
Please help! Find m<br><br> 160° <br><br> 260° <br><br> 50° <br><br> 80°
antoniya [11.8K]
80

Expiation: it’s not more then 180, or 50
260
8 0
3 years ago
Ther are four test scores 97,85,92,86. what is the mean median and mode?
Firdavs [7]
The mode is the score that occurs the most often and the median is the middle number when arranged in order.
6 0
3 years ago
Read 2 more answers
Does anyone know the answer?
kolezko [41]

Answer:

Part A: 9.75x > 195

Part B: x > 20

Step-by-step explanation:

Let's say Mark works for x hours. For each hour he works, 9.75 dollars are added to Mark's salary. Therefore, for 1 hour, he gets $9.75, for 2 hours, he gets $9.75 + $9.75 = $9.75 * 2 = $19.50, and for x hours, he gets $9.75 * x as his salary.

We want his salary to be more than $195, so we have $9.75 * x (his salary) > $195, which can be written as 9.75x > 195

divide both sides by 9.75 to solve for x

x > 20

8 0
2 years ago
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