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ra1l [238]
3 years ago
9

1 + 3x² - 8x / 3x + 32x​

Mathematics
1 answer:
Nonamiya [84]3 years ago
4 0

Answer:

1 + 1/3 -8 x/3 x+32x

Step-by-step explanation:

See the steps below:)

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Dave can complete a sales route by himself in 4 hours. James can do the same job in 5 hours. How long will it take them to do it
Ber [7]
X/4 + x/5 = 1
5x/20 + 4x/20=1
9x/20 =1
9x = 20
x = 2.22 hours
4 0
3 years ago
X + y = 6
pantera1 [17]
X+y=6
2x+y=4
solve the both
x+y=6
- (2x+y=4)
-x = 2
x=-2
substitute the value of x in x+y=6
-2+y=6
y=6+2
y=8
therefore the answer is (-2,8)

4 0
3 years ago
The base of an aquarium with given volume V is made of slate and the sides are made of glass. If the slate costs seven times as
lubasha [3.4K]

Answer:

l = \sqrt[3]{\frac{2V}{7}}     b = \sqrt[3]{\frac{2V}{7}}       h = \sqrt[3]{\frac{49V}{4}}

Step-by-step explanation:

Represent the volume of the box with V and the dimensions with l, b and h.

The volume (V) is:

V = l * b * h

Make h the subject of the formula

h = \frac{V}{lb}

The surface area (S) of the aquarium is:

S = lb + 2(lh + bh)

Where lb represents the area of the base (i.e. slate):

The cost (C) of the surface area is:

C = 7 * lb + 1 * 2(lh + bh)

C = 7lb + 2(lh + bh)

C = 7lb + 2h(l + b)

Substitute \frac{V}{lb} for h in the above equation

C = 7lb + 2*\frac{V}{lb}(l + b)

C = 7lb + \frac{2V}{lb}(l + b)

C = 7lb + \frac{2V}{b} + \frac{2V}{l}

Differentiate with respect to l and with respect to b

C_l=7b - \frac{2V}{l^2} =0

C_b=7l - \frac{2V}{b^2} =0

To solve for b and l, we equate both equations and set l to b (to minimize the cost)

7b - \frac{2V}{l^2}=7l - \frac{2V}{b^2}

7l - \frac{2V}{l^2}=7b - \frac{2V}{b^2}

By comparison:

l =b

C_l=7b - \frac{2V}{l^2} =0 becomes

7l - \frac{2V}{l^2}=0

7l = \frac{2V}{l^2}

Cross Multiply

7l^3 = 2V

Solve for l

l^3 = \frac{2V}{7}

l = \sqrt[3]{\frac{2V}{7}}

Recall that: l =b

b = \sqrt[3]{\frac{2V}{7}}

Also recall that:

h = \frac{V}{lb}

h = \frac{V}{\sqrt[3]{\frac{2V}{7}}*\sqrt[3]{\frac{2V}{7}}}

h = \frac{V}{\sqrt[3]{\frac{4V^2}{49}}}

Apply law of indices

h = \sqrt[3]{\frac{49V^3}{4V^2}}

h = \sqrt[3]{\frac{49V}{4}}

The dimension that minimizes the cost of material of the aquarium is:

l = \sqrt[3]{\frac{2V}{7}}     b = \sqrt[3]{\frac{2V}{7}}       h = \sqrt[3]{\frac{49V}{4}}

8 0
3 years ago
SUPER EASY POINTS, i also need some clarification on this question... would i be correct?
bulgar [2K]

Answer:

\bf  \sf \dfrac{1}{3}

<h3>Explanation:</h3>

<u>Take points</u>: (6, 2), (3, 1)

To \ find \ proportionality = \sf \dfrac{y_2-y_1}{x_2-x_1}

<em>Insert values</em>

\rightarrow \sf \dfrac{1-2}{3-6}

<em>Simplify</em>

\rightarrow \sf \dfrac{-1}{-3}

<em>Cancel out the negatives</em>

\rightarrow \sf \dfrac{1}{3}

4 0
2 years ago
Read 2 more answers
Please Help me need help
daser333 [38]

Answer:

-1 * (x/y)

Step-by-step explanation:

-x/y = x /-y

Factor out the negative

-(x/y) = -(x/y)

This is equal to -1 * (x/y)

8 0
3 years ago
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