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Alborosie
2 years ago
14

Explain how to evaluate algebraic expression given value of a variable.

Mathematics
1 answer:
Marina86 [1]2 years ago
5 0
If you are given the value of a variable, all you have to do is substitute the variable for the value. For instance, if you are given an expression 2x + 5y, where x = 4 and y = 2, you evaluate the expression by substituting x with 4 and y with 2. That gives you 2(4) + 5(2) = 8 + 10 = 18

I hope this helps. Please make my answer the brainliest if you are satisfied with it.
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In mathematics given that x=L2-L1/L1(O2-O1).
Assoli18 [71]

Answer:

1. L1 = \frac{L2}{X(O2 -O1)}

2. O2 = \frac{L2 - L1(1 + XO1)}{XL1}

Step-by-step explanation:

Given: x = \frac{L2 - L1}{L1(O2 -O1)}

1. To make L1 the subject of formula;

x = \frac{L2 - L1}{L1(O2 -O1)}

cross multiply to have;

L2 - L1 = xL1(O2 - O1)

collect like terms,

L2 = xL1(O2 - O1) + L1

factorize the right hand side;

L2 = L1[x(O2 - O1)]

L1 = \frac{L2}{X(O2 -O1)}

2. To make O2 the subject of formula;

x = \frac{L2 - L1}{L1(O2 -O1)}

cross multiply to have;

L2 - L1 = xL1(O2 - O1)

open the bracket to have;

L2 - L1 = xL1O2 - xL1O1

⇒ xL1O2 = L2 - L1 + xL1O1

O2 = \frac{L2-L1 + XL1O1}{XL1}

     = \frac{L2 - L1(1 + XO1)}{XL1}

4 0
2 years ago
4. The revenue of a company for a given month is represented as ????(x) = 1,500x − x^2 and its costs as ????(x) = 1,500 + 1,000x
mrs_skeptik [129]

Answer:

The profit will be maximum on x = 250.

Step-by-step explanation:

From the given information:

Revenue = 1500x - x²

Cost = 1500 + 1000x

As we know that

Profit = Revenue - Cost ; Let say it equation 1

Then after putting the values of revenue and cost in equation 1 we have:

Profit = (1500x - x²) - (1500 + 1000x)

Profit = 1500x - x² - 1500 - 1000x

Profit = -x² + 500x - 1500

We know that at the max or min the slope of the graph formed by the profit function will be zero, therefore we find the slope of profit function by taking the first derrivative w.r.t. x as under:

d(Profit)/dx = d/dx(-x² + 500x - 1500)

d(Profit)/dx = -2x + 500

By putting the above slope equal to zero we get:

d(Profit)/dx = -2x + 500 = 0

-2x + 500 = 0

-2x = -500

x = 250

Therefore it is concluded that the profit will be maximum when x will be equal to 250.

4 0
3 years ago
today reza ate 20 grapes which is 400% as many grapes as he ate yesterday. explain how to use equal ratios to find the number of
Darina [25.2K]

Answer:

Write 400% as the ratio 400/100. To find an equivalent ratio, you know that 400 divided by 20 is 20, so 100 divided by 20 will give you the answer. 100 ÷ 20 = 5. Reza ate 5 grapes yesterday.

Brainliest please!

7 0
2 years ago
Read 2 more answers
What percent of 96 is 367​
Inessa05 [86]

Answer:

96 is what percent of 367? = 26.16

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
In the past ten years, the population of a city decreased from 90,000 to 75,000 Find the percent decrease.
vfiekz [6]
The answer is 31.5%.
8 0
3 years ago
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