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a_sh-v [17]
3 years ago
13

If f(x) =3x+12 find f(-6)

Mathematics
1 answer:
serious [3.7K]3 years ago
5 0
The answer is -6. hope this helps
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How to find missing numbers in addition and subtraction.
Angelina_Jolie [31]

Answer:

you do the opposite for example: If its x+9=11...You subtract 9 from 11.....if its x-9=11....you do add the 9 to the 11

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
You are a lifeguard and spot a drowning child 60 meters along the shore and 40 meters from the shore to the child. You run along
sukhopar [10]

Answer:

The lifeguard should run across the shore a distance of 48.074 m before jumpng into the water in order to minimize the time to reach the child.

Step-by-step explanation:

This is a problem of optimization.

We have to minimize the time it takes for the lifeguard to reach the child.

The time can be calculated by dividing the distance by the speed for each section.

The distance in the shore and in the water depends on when the lifeguard gets in the water. We use the variable x to model this, as seen in the picture attached.

Then, the distance in the shore is d_b=x and the distance swimming can be calculated using the Pithagorean theorem:

d_s^2=(60-x)^2+40^2=60^2-120x+x^2+40^2=x^2-120x+5200\\\\d_s=\sqrt{x^2-120x+5200}

Then, the time (speed divided by distance) is:

t=d_b/v_b+d_s/v_s\\\\t=x/4+\sqrt{x^2-120x+5200}/1.1

To optimize this function we have to derive and equal to zero:

\dfrac{dt}{dx}=\dfrac{1}{4}+\dfrac{1}{1.1}(\dfrac{1}{2})\dfrac{2x-120}{\sqrt{x^2-120x+5200}} \\\\\\\dfrac{dt}{dx}=\dfrac{1}{4} +\dfrac{1}{1.1} \dfrac{x-60}{\sqrt{x^2-120x+5200}} =0\\\\\\  \dfrac{x-60}{\sqrt{x^2-120x+5200}} =\dfrac{1.1}{4}=\dfrac{2}{7}\\\\\\ x-60=\dfrac{2}{7}\sqrt{x^2-120x+5200}\\\\\\(x-60)^2=\dfrac{2^2}{7^2}(x^2-120x+5200)\\\\\\(x-60)^2=\dfrac{4}{49}[(x-60)^2+40^2]\\\\\\(1-4/49)(x-60)^2=4*40^2/49=6400/49\\\\(45/49)(x-60)^2=6400/49\\\\45(x-60)^2=6400\\\\

x

As d_b=x, the lifeguard should run across the shore a distance of 48.074 m before jumpng into the water in order to minimize the time to reach the child.

7 0
3 years ago
A line has this equation: y = -2x-5 Write an equation for the parallel line that goes through (-3,-5).​
zhuklara [117]

Answer:

Step-by-step explanation:

y + 5 = -2(x + 3)

y + 5 = -2x - 6

y = -2x - 11

3 0
3 years ago
Lines m and n are parallel. Which angle has a measure of 110°?
grigory [225]
This might help you..need more information

6 0
3 years ago
Can someone help me with this question?
Anarel [89]

Answer:

yea

Step-by-step explanation:

3 0
2 years ago
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