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Nitella [24]
3 years ago
10

What is the slope of a line that is parallel to the line whose equation is 0.5x-5y=9

Mathematics
2 answers:
Tems11 [23]3 years ago
6 0

0.5x - 5y = 9

<u>Make y the subject:</u>

5y = 0.5x - 9

y = 0.1x - 1.8

Match equation with y = mx + b

m = slope = 0.1

Parallel Slope = 0.1

Answer: The slope of the parallel line is 0.1

vovikov84 [41]3 years ago
3 0

The slopes of parallel line are the same.

We have: 0.5x - 5y = 9

Let's transform to slope-intercept form y = mx + b

0.5x - 5y = 9 |-0.5x

-5y = -0.5x + 9 |:(-5)

y = 0.1x - 1.8

Your answer is m = 0.1

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11.4166667

Step-by-step explanation:

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Select the point that is a solution to the system if inequalities yx^2-6
labwork [276]

Answer:

The correct answer is A.

A(0,-2)

Step-by-step explanation:

Method 1

You just have to plot each point on the graph.

The one that falls within the solution region is the correct choice.

From the graph, A(0,-2) falls within the solution region.

See graph

Method 2

If you substitute the points into the inequalities, the only point that will satisfy both inequalities simultaneously is A.

The first inequality is

y\:

If we substitute A(0,-2), we get;

-2\:


-2\:


This statement is true.

The second inequality is

y\:>\:x^2-6

If we substitute A(0,-2), we get;

-2\:>\:(0)^2-6

This gives,

-2\:>\:-6

This statement is also true.



8 0
3 years ago
Given the following expression, what is the rate of decay (write in decimal form, not as a percentage)? 15000 (.87)^7​
34kurt

Answer:

0.87

Step-by-step explanation:

y = ab^x

b is the rate of decay if it is between 0 and 1. Here, b = 0.87.

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6 0
3 years ago
Show work, please someone help me, i'm confused still on this concept.
BigorU [14]
Answer: choice C) -15x^4y

-----------------------------------------

Explanation:

The coefficients are -3 and 5. They are the numbers to the left of the variable terms
Multiply the coefficients to get -3*5 = -15. So -15 is the coefficient in the answer

Multiply the x terms to get x^3 times x = x^(3+1) = x^4. Notice the exponents are being added

Do the same for the y terms as well: y^2 times y^(-1) = y^(2+(-1)) = y^(2-1) = y^1 = y

So we have a final coefficient of -15, the x terms simplify to x^4 and the y terms simplify to just y

Put this all together and we end up with -15x^4y which is what choice C is showing

3 0
3 years ago
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