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3 years ago

Which statement describe the relationships between expression and equation

Mathematics

1 answer:

ch4aika [34]3 years ago

8 0

Answer:

An equation has a equal sign, and it can be solved. A expression can only be simplified.

Step-by-step explanation:

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A home gardener estimates that 18 apple trees will produce an average yield of 80 apples per tree. But because of the size of th

aliina [53]

19 trees should be planted to maximize the total

<h3>How many trees should be planted to maximize the total</h3>

From the question, we have the following parameters:

Number of apples, x = 18

Yield, f(x) = 80 per tree

When the number of apple trees is increased (say by x).

We have:

Trees = 18 + x

The yield decreases by four apples per tree.

So, we have

Yield = 80 - 4x

So, the profit function is

P(x) = Apples * Yield

This gives

P(x) = (18 + x) *(80 - 4x)

Expand the bracket

P(x) = 1440 - 72x + 80x - 4x^2

Differentiate the function

P'(x) = 0 - 72 + 80 - 8x

Evaluate the like terms

P'(x) = 8 - 8x

Set P'(x) to 0

8 - 8x = 0

Divide through by 8

1 - x = 0

Solve for x

x = 1

Recall that:

Trees = 18 + x

So, we have

Trees = 18 + 1

Evaluate

Trees = 19

Hence, 19 trees should be planted to maximize the total

Read more about quadratic functions at:

brainly.com/question/12120831

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4 0

1 year ago

Helppp meeeeeeee plsssssss you got till nine

damaskus [11]

Answer:

3/20 of the cover page is text about endangered species.

Step-by-step explanation:

We know that 3/8th of the page is text, and 2/5ths of that text is about endangered species.

So all we have to do is find out how much 2/5ths of 3/8ths are, which can be done simply via fraction multiplication.

3/8 * 2/5 = ?

For multiplying fractions, we multiply the top parts together, and then the bottom parts together. So 3/ 8 * 2/5 would be equal to (3*2) / (8*5). This gives us 6 / 40 which can be simplified to 3/20.

So 3/20ths of the cover page is about endangered animals.

3 0

3 years ago

Question 2

S_A_V [24]

Answer: B -8/7x+11/7

Step-by-step explanation:

First find the slope using teh formule $y_{2}-y_1\\x_2-x_1$ which is teh formula for slope in this case the slope would be (-8/7) then pick a pair of points in this case we will use (4,-3) plug in the slope and the coordinate pair into the intercept formula (y=mx+b) so it would look like -3=-8/7(4)+b then solve for b so the answer be 8/7x+11/7