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asambeis [7]
3 years ago
15

How do I do this.?.?.

Mathematics
2 answers:
viktelen [127]3 years ago
3 0
108 = ( x)(48-x)
108 = 48x - x^2
48x -x^2 -108 = 0

I'm assuming you're doing solve the square right now, so you should be able to do the rest.
Karo-lina-s [1.5K]3 years ago
3 0
Okay, so we know the Perimeter is 48m and the Area is 108m²

the formulas you'll need are P = 2(w+h) and A = w*h (w = width and h = height)

so...     2(w+h) = 48               w*h = 108
            w+h = 24                   w = 108/h
            w = 24 - h                  h = 108/w
            <span>h </span>= 24 - w

Now we choose one of the variables (I'll pick w) and set the two corresponding equations equal to eachother.

w = 24 - h = 108/h

then, do some algebra to get  h² - 24h + 108 = 0

Recall that in the original question they told us that one of the sides is represented by <span>x. So, lets sub in x for h from now on. (I'll explain why at the end)

so,   x</span>² - 24x + 108 = 0

this is a qudratic equation and can be factored into (x - 18)(x - 6) = 0

set each factor equal to zero and solve for x

you get   x = 18   and   x = 6

the reason we subbed in x was because i knew we would get two answers and it might have been confusing to get two answers for h or w. With x though, you can now choose which value you want to assign to which variable.

to check this answer, you can go back to the top with the equations for perimeter and area and plug these numbers into the equation in any order and it should work.

if that all made sense, you should figure out that the dimensions will be 18m by 6m
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The photo down below will show you what I need help with.​
Irina18 [472]

Answer:

\frac{x+7}{3} (the second option)

Step-by-step explanation:

Hope this helps!

7 0
3 years ago
McSaw’s Ice Cream makes muffins that cost $.60 each. Past experience shows that 10% of the muffins will become stale and have to
Temka [501]
.60×.55=.33 cent mark up to original price
.60+.33=.93 cost per muffin

.6×100=60×.55=93 cost for 100 muffins
93/100= .93 cost per muffin

4 0
3 years ago
A ball is thrown into the air from a height of 4 feet at time t = 0. The function that models this situation is h(t) = -16t2 + 6
katrin2010 [14]

Answer:

Part a) The height of the ball after 3 seconds is 49\ ft

Part b) The maximum height is 66 ft

Part c) The ball hit the ground for t=4 sec

Part d) The domain of the function that makes sense is the interval

[0,4]

Step-by-step explanation:

we have

h(t)=-16t^{2} +63t+4

Part a) What is the height of the ball after 3 seconds?

For t=3 sec

Substitute in the function and solve for h

h(3)=-16(3)^{2} +63(3)+4=49\ ft

Part b) What is the maximum height of the ball? Round to the nearest foot.

we know that

The maximum height of the ball is the vertex of the quadratic equation

so

Convert the function into a vertex form

h(t)=-16t^{2} +63t+4

Group terms that contain the same variable, and move the constant to the opposite side of the equation

h(t)-4=-16t^{2} +63t

Factor the leading coefficient

h(t)-4=-16(t^{2} -(63/16)t)

Complete the square. Remember to balance the equation by adding the same constants to each side

h(t)-4-16(63/32)^{2}=-16(t^{2} -(63/16)t+(63/32)^{2})

h(t)-(67,600/1,024)=-16(t^{2} -(63/16)t+(63/32)^{2})

Rewrite as perfect squares

h(t)-(67,600/1,024)=-16(t-(63/32))^{2}

h(t)=-16(t-(63/32))^{2}+(67,600/1,024)

the vertex is the point (1.97,66.02)

therefore

The maximum height is 66 ft

Part c) When will the ball hit the ground?

we know that

The ball hit the ground when h(t)=0 (the x-intercepts of the function)

so

h(t)=-16t^{2} +63t+4

For h(t)=0

0=-16t^{2} +63t+4

using a graphing tool

The solution is t=4 sec

see the attached figure

Part d) What domain makes sense for the function?

The domain of the function that makes sense is the interval

[0,4]

All real numbers greater than or equal to 0 seconds and less than or equal to 4 seconds

Remember that the time can not be a negative number

6 0
3 years ago
Simplify 12 2/5<br> does anyone have the answer
ehidna [41]

Step-by-step explanation:

12 2/5

=144/5

=28/8

Hope this helps!!!

6 0
3 years ago
Write an inequality for the given graph.
Aliun [14]
Y=MX+B

M = slope

B = y intercept (number that intersects with the line in the y axis)

y=-3/4x+2

It starts on the y intercept (2) then we travel to the next point (4 on the x axis)

So we travel 3 spaces down (-3) landing on the origin (0,0) then four spaces to the right (4). Getting the slope of -3/4 (rise over run)

Then just plug in these into the equation

y = -3/4 + 2
5 0
3 years ago
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