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3 years ago

4(m + 6) - 3 = ? Answer the question

Mathematics

2 answers:

MissTica3 years ago

8 0

4(m+6) - 3
Expand the brackets:
4m+24-3
4m+21

Hope this helps :)

Serjik [45]3 years ago

6 0

M=3/4-6=0.75-6=5.25
how

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A ball is thrown into the air and its position is given by h ( t ) = − 6.3 t 2 + 53 t + 24 where h is the height of the ball in

nordsb [41]

Answer:

$h'(t) = -12.6 t +53$

Now we can set up the derivate equal to 0 and we have:

$-12.6 t +53 = 0$

And solving for t we got:

$t = \frac{53}{12.6}= 4.206$

For the second derivate respect the time we got:

$h''(t) = -12.6$

So then we can conclude that t = 4.206 is a maximum for the function.

And the corresponding height would be:

$h(t=4.206) = -6.3(4.206)^2 +53*4.206+24= 135.468 ft$

So the maximum occurs at t = 4.206 s and with a height of 135.468 m

Step-by-step explanation:

For this case we have the following function:

$h(t) = -6.3t^2 +53 t+24$

In order to maximize this function we need to take the first derivate respect the time and we have:

$h'(t) = -12.6 t +53$

Now we can set up the derivate equal to 0 and we have:

$-12.6 t +53 = 0$

And solving for t we got:

$t = \frac{53}{12.6}= 4.206$

For the second derivate respect the time we got:

$h''(t) = -12.6$

So then we can conclude that t = 4.206 is a maximum for the function.

And the corresponding height would be:

$h(t=4.206) = -6.3(4.206)^2 +53*4.206+24= 135.468 ft$

So the maximum occurs at t = 4.206 s and with a height of 135.468 m

8 0

3 years ago

A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the

defon

Answer:

Price of widget to break even= $37.9

Step-by-step explanation:

We are told that the equation representing the amount of profit, y, made by the company, in relation to the selling price of each widget, x is;

y = -8x² + 348x - 1705

Now, the company will break even when it has made no profit. That is when, y = 0

Thus;

0 = -8x² + 348x - 1705

Rearranging,

8x² - 348x + 1705 = 0

Using quadratic formula ;

x = [-b ± √(b² - 4ac)]/2a

x = [-8 ± √(-348² - 4•1•1705)]/(2 x 8)

x = $5.63 or $37.87

We'll use $37.87 because it is the highest price for which no profit is made, and higher price means that we could sell least number of products to earn a certain amount of money.

We are told to approximate to nearest cent. Thus,

Price of widget = $37.87 ≈ $37.9

7 0

3 years ago

HELP ME WITH 16 & 17

damaskus [11]

__Data__

The equilateral's lengths are all the same

Also if AB = AD = BD = CD that would mean all those sides have the exact same length

Answers and Explanations

15A. BCD has 2 acute angles and one obtuse angle, so this is an Obtuse Triangle

15B. If beforementioned = 5 cm

Then the perimeter is 5cm x 3 = 15cm

15C. ABC is a Right Triangle

16. abcdef. Measure the angles using a protractor

17. The shortest side of ABC is AB which is 5cm, the longest is AC which is 10cm

Shortest side: Longest side

5cm:10cm

1:2 is the ratio

7 0

3 years ago

Express 34% as a fraction in simplest form.<br> 34/100<br> 8/25<br> 17/50<br> 3/4

Archy [21]

Did you just state the answer? Because it seems like you just answered the question for us.

7 0

3 years ago

Write the equation of a line that passes through (-1,3) (0,8)

gizmo_the_mogwai [7]

You'll be using point slope form to solve this.

As the name suggests, you'll need the slope as well as a point. To find the slope use the slope formula: $\frac{y_2-y_1}{x_2-x_1}$

Plug in the points.

$\frac{8-3}{0-(-1)} =\frac{5}{1} =5$

The slope of this line is 5.

Point slope form is y-y1 = m(x-x1), so plug in the slope and a point into this equation. I'll use (0,8).

y-(8) = 5(x-(0))

1. Write this out without parentheses.

y-8 = 5(x)

2. Multiply 5 and x.

y-8 = 5x

3. Add 8 to both sides.

y = 5x+8

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Answer is:

y = 5x+8

6 0

3 years ago