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weqwewe [10]
3 years ago
5

The sum of two positive numbers is 95. find a function that models their product p in terms of x, one of the numbers.

Mathematics
1 answer:
Tomtit [17]3 years ago
8 0
If one of the number is x then the other one is 95-x

their product, p, is x times 95-x

p=(x)(95-x)=95x-x²

p(x)=95x-x²
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Write the equation of a line with slope m = 6 and including point (0, 1).
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Answer:

y = 6x + 1

Step-by-step explanation:

linear equations (straight line) are expressed in the following general form:

y = mx + b, where m is the gradient and b is the y-ordinate of the point where the line crosses the y-axis (called the y-intercept)

Given : m = 6

we realize that point (0,1) is actually on the y-axis (i.e x=0), therefore this is coincidentally the y-intercept. Hence b = 1

Therefore the whole equation is

y = 6x + 1

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Enter numbers to evaluate ‐13−23.
Nana76 [90]

Answer:

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= -36

- 13 - (- 23) = - 13 + 23

= 10

Step-by-step explanation:

In any order of operation (i.e. addition, subtraction, multiplication, devision) the following rules apply for two values for instance <em>a </em>and <em>b </em>where <em>a > b </em>:

→ <em>If +a and +b then the final sign will be + (positive)</em>

→ <em>If +a and -b then the final sign will be + (positive) since a>b</em>

→ <em>If -a and +b then the final sign will be - (negative) since a>b</em>

→ <em>If -a and -b then the final sign will be - (negative)</em>

In the given question we have two cases.

Case 1:

- 13 - 23 = - 13 + (-23)     <em>→ since it is given that we add a negative value of -23, therefore it keeps its sign (so this would be a negative addition i.e. adding two negative values)</em>

Thus we have:

- 13 - 23 = - 13 + (-23)

= -36

Case 2:

- 13 - (- 23) = - 13 + 23     <em>→ since we stated earlier that - and - gives positive sign (i.e. we subtract two negative values)</em>

Thus we have:

- 13 - (- 23) = - 13 + 23

= 10

<em>So we can see that: </em>

<em>Adding two Negative values gives a Negative value (Case 1)</em>

Subtracting two Negative values gives a Positive value (Case 2)

6 0
3 years ago
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