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2 years ago

Pls help asap! thanks

Mathematics

2 answers:

11Alexandr11 [23.1K]2 years ago

6 0

x,a(x)=-x²+14x x=0 x=14-a

Blababa [14]2 years ago

3 0

M(x)=-x²+14x
m'(x)=-2x+14
set this equal to 0 and solve for x
-2x+14=0
-2x=-14
x=7
m(7)=-7²+14(7)=-49+98=49 million mosquitoes

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If a ball is thrown into the air with a velocity of 48 ft/s, its height in feet t seconds later is given by y = 48t − 16t2. Find

dimaraw [331]

The formula for average velocity between two times t1 and t2 of the position function f(x) is (f(t2)-f(t1)) / (t2-t1)
Plugging the values in for the first time period we get (f(2.5)-f(2)) / (2.5-2)
=> (f(2.5)-f(2)) / 0.5
f(2) will be the same for all 4 time periods and is
48(2)-16(2)^2 = 32
Now we plugin the other values
f(2.5) = 48(2.5)-16(2.5)^2 = 20
f(2.1) = 48(2.1)-16(2.1)^2 = 30.25
etc.
f(2.05) = 31.16
f(2.01) = 31.8384
Now plug these values into the formula
(20-32)/0.5 = -24
(30.25-32)/0.1 = -17.5
etc.
= -16.8
= -16.16
Final answer:
2.5s => -24 ft/s
2.1s => -17.5 ft/s
2.05 => -16.8 ft/s
2.01 => -16.16 ft/s
Hope I helped :)

6 0

2 years ago

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polet [3.4K]

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2 years ago

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vitfil [10]

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Step-by-step explanation:

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2 years ago

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anzhelika [568]

Answer:

$(x+4)^2+(y-8)^2=85$

Step-by-step explanation:

The standard equation for a circle is given by:

$(x-h)^2+(y-k)^2=r^2$

Where (h, k) is the center and r is the radius.

We know that the center is (-4, 8). So, substitute -4 for h and 8 for k:

$(x-(-4))^2+(y-8)^2=r^2\\$

Simplify:

$(x+4)^2+(y-8)^2=r^2$

Now, we will need to find r.

We know that it passes through the point (-2, -1). So, we can substitute -2 for x and -1 for y and solve for r. So:

$(-2+4)^2+(-1-8)^2=r^2$

Evaluate:

$(2)^2+(-9)^2=r^2$

Square:

$4+81=r^2$

Add:

$r^2=85$

So, r squared is 85.

We don’t actually have to solve for r itself, since we will have to square it anyways.

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$(x+4)^2+(y-8)^2=r^2$

Substituting 85 for r squared, we get:

$(x+4)^2+(y-8)^2=85$

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8 0

1 year ago

Charlotte is driving at 52.7 mi/h and receives a text message. She looks down at her phone and takes her eyes off the road for 4

likoan [24]

Answer:

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Step-by-step explanation:

The relation between speed, distance, and time is ...

distance = speed × time

<h3>Compatible units</h3>

The speed is given in miles per hour, but the time is given in seconds and the distance is wanted in feet. This suggests a conversion of speed to feet per second is appropriate.

$\dfrac{52.7\text{ mi}}{\text{h}}\times\dfrac{1\text{ h}}{3600\text{ s}}\times\dfrac{5280\text{ ft}}{1\text{ mi}}=\dfrac{52.7\cdot22\text{ ft}}{15\text{ s}}=77.29\overline{3}\text{ ft/s}$

<h3>Distance</h3>

The distance traveled is the product of this speed and the time period.

$\dfrac{77.29\overline{3}\text{ ft}}{1\text{ s}}\times4.99\text{ s}=385.6937\overline{3}\text{ ft}\approx\boxed{385.7\text{ ft}}$

7 0

1 year ago