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Nuetrik [128]
3 years ago
8

Use the graph that shows the solution to f(x)=g(x) . f(x)=−3/4x^2+3x+1 g(x)=2x

Mathematics
1 answer:
Ksivusya [100]3 years ago
3 0

Answer:

The first graph will give the actual solution for f(x) = g(x).

Step-by-step explanation:

The first function is f(x) = - \frac{3}{4}x^{2} + 3x + 1 and g(x) = 2^{x}.

Now, f(0) = 1 and g(0) = 1

So, the point (0,1) is a solution for f(x) = g(x).

Again, f(2) = - \frac{3}{4}(2)^{2} + 3(2) + 1 = 4 and g(2) = 2^{2} = 4.

Hence, the point (2,4) is also a solution of f(x) = g(x).

Therefore, the first graph will give the actual solution for f(x) = g(x). (Answer)

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To turn a decimal into a fraction move the decimal point two spots over (Ex: 0.34=34%). To turn a fraction into a decimal get the denominator to 100 by multiplying both the top and bottom by whatever number needed (must both be multiplied by the same number) or divide to top number into the bottom number of you can’t multiply.
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3 years ago
A clothing store donated a percent of every sale to hospitals. The total sales were $7,750 so the
Flauer [41]

Answer:

4%

Step-by-step explanation:

310 /7759 x 100% = 4%

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3 years ago
A cardboard box without a lid is to be made with a volume of 4 ft 3 . Find the dimensions of the box that requires the least amo
Blababa [14]

Answer:

<h2><em>2ft by 2ft by 1 ft</em></h2>

Step-by-step explanation:

Total surface of the cardboard box is expressed as S = 2LW + 2WH + 2LH where L is the length of the box, W is the width and H is the height of the box. Since the cardboard box is without a lid, then the total surface area will be expressed as;

S  = lw+2wh+2lh ... 1

Given the volume V = lwh = 4ft³ ... 2

From equation 2;

h = 4/lw

Substituting into r[equation 1;

S = lw + 2w(4/lw)+ 2l(4/lw)

S = lw+8/l+8/w

Differentiating the resulting equation with respect to w and l will give;

dS/dw = l + (-8w⁻²)

dS/dw = l - 8/w²

Similarly,

dS/dl = w  + (-8l⁻²)

dS/dw = w - 8/l²

At turning point, ds/dw = 0 and ds/dl = 0

l - 8/w² = 0 and w - 8/l² = 0

l = 8/w²  and w =8/l²

l = 8/(8/l² )²

l = 8/(64/I⁴)

l = 8*l⁴/64

l = l⁴/8

8l = l⁴

l³ = 8

l = ∛8

l = 2

Hence the length of the box is 2 feet

Substituting l = 2 into the function l = 8/w² to get the eidth w

2 = 8/w²

1 = 4/w²

w² = 4

w = 2 ft

width of the cardboard is 2 ft

Since Volume = lwh

4 = 2(2)h

4 = 4h

h = 1 ft

Height of the cardboard is 1 ft

<em>The dimensions of the box that requires the least amount of cardboard is 2ft by 2ft by 1 ft</em>

8 0
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Answer:


Step-by-step explanation:


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Liam has 250 with him


If he gives  away, then the money he has left is:




Read more on Brainly.com - brainly.com/question/4681527#readmore

4 0
3 years ago
Read 2 more answers
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mylen [45]

Answer:

Step-by-step explanation:

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If each drink costs $3, then

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12.75 + 12 which equals 24.75

3 0
3 years ago
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