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ella [17]
4 years ago
12

Simplify the picture below

Mathematics
1 answer:
podryga [215]4 years ago
3 0
((x^2-3x-18)/(x+3))
((x-6)(x+3))/(x+3)
The x+3 on top cancels out the x+3 on the bottom so all you have left is

x-6


Hope I didn't mess up for your sake!
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Which statement is true about the extreme value of the given quadratic equation? y = -3x2 + 12x − 33
Zina [86]

Answer:

The equation has a maximum value with a y-coordinate of -21.

Step-by-step explanation:

Given

y =-3x^2 + 12x - 33

Required

The true statement about the extreme value

First, write out the leading coefficient

Leading = -3

-3 < 0 means that the function would be a downward parabola;

Downward parabola always have their vertex on top of the parabola and as such, the function has a maximum value.

The maximum value is:

x = -\frac{b}{2a}

Where:

a= -3; b =12; c =-33

So, we have:

x = -\frac{12}{2 * -3}

x = -\frac{12}{-6}

x =2

Substitute x =2 in y =-3x^2 + 12x - 33

y = -3*2^2 + 12 * 2 - 33

y = -21

<em>Hence, the maximum is -21.</em>

8 0
3 years ago
The ground temperature at sea level is 60 degrees F. For every 100-foot increase in elevation, the temperature rises 1/10 of one
N76 [4]
<h3>Answer: B. 62 degrees fahrenheit</h3>

====================================================

Explanation:

x = elevation in feet

y = temperature in fahrenheit

The temperature goes up 1/10 = 0.1 degrees for every 100-foot increase of elevation. So the slope is 0.1/100 = 0.001, which tells us how fast the temperature is increasing. In other words, the temperature goes up 0.001 degrees each time the elevation goes up by 1 foot.

The ground temperature is 60 degrees, which is our starting temperature. It's the value of y when x = 0. Therefore, 60 is the y intercept.

We have a slope of m = 0.001 and a y intercept of b = 60. The equation y = mx+b becomes y = 0.1x+60

Now plug in x = 2000 to find the temperature at this elevation

y = 0.001x+60

y = 0.001*2000+60

y = 2+60

y = 62

7 0
3 years ago
Read 2 more answers
Asia purchased a house using a fixed rate mortgage. The annual interest rate is 4.9% compounded monthly for 25 years. The mortga
Margaret [11]
PUT=165,000÷(((1−(1+0.049÷12)^(−12
×25))÷(0.049÷12)))=954.98
6 0
3 years ago
The cost of using a game facility is $1 for every 12 minutes. Talisa writes the function for the cost per hour as ()=. Explain T
Anna [14]

Using proportions, it is found that Talisa's error was at calculating the cost per minute of the game.

In the function:

  • The input is x, which is the number of minutes.
  • The output is f(x), which is the cost of playing the game for x minutes.

Talisa's expression is given by:

f(x) = 12x

The cost of using a game facility is <u>$1 for every 12 minutes</u>, hence, the cost per minute is:

c = \frac{1}{12}

And the correct expression for the cost is:

f(x) = \frac{x}{12}

Hence, it can be seen that Talisa's error was at calculating the cost per minute of the game.

A similar problem is given at brainly.com/question/24372153

3 0
2 years ago
Charles has $125 in his checking account. He makes three purchases on his debit card for $46 each, then makes one deposit of $10
Tatiana [17]

Answer:

-3

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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