Answer:
The equation of the line with slope = 4 and point (-5, -13)
will be:
Step-by-step explanation:
Given
As the point-slope form of the equation of line is

where m is the slope.
substituting the values m = 4 and the point (-5, -13)



subtract 13 from both sides


Therefore, the equation of the line with slope = 4 and point (-5, -13)
will be:

A familiar situation describing where one quantity changes constantly in relation to another quantity is: <em><u>the amount you pay as </u></em><em><u>cost </u></em><em><u>for buying gas at a gas station in relation to the </u></em><em><u>quantity of gas</u></em><em><u> you buy.</u></em>
<em><u /></em>
The two quantities, <em><u>(</u></em><em><u>cost </u></em><em><u>and </u></em><em><u>quantity </u></em><em><u>of gas) are </u></em><em><u>directly proportional</u></em>.
When you represent the relationship of cost of gas and quantity of gas on a graph, you will have: a proportional graph with cost ($) on the y-axis and quantity of gas (gallons) on the x-axis.
<em>(see attachment for how the </em><em>graph </em><em>will look like.)</em>
<em><u>There are usually two </u></em><em><u>variables</u></em><em><u>: </u></em>
- Independent variable which causes the change.
- Dependent variable which responds to the change caused by the independent variable.
A situation where one quantity (dependent variable) changes constantly in relation to another quantity (independent variable) is a situation of the amount you pay at a gas station for filling your car with a certain quantity of gallons of gas.
The two quantities are directly proportional to each other.
<em>That is:</em>
- The cost of gas in dollars (independent variable) is directly proportional to the quantity of gas in gallons (dependent variable).
- As the quantity of gas increased in gallons, there would be equal increase in the cost of gas in dollars you would pay.
If we are to represent this on a graph, the graph will be a straight line graph showing a proportional relationship between cost of gas (on the y-axis) and quantity of gas (on the x-axis)
<em>(see the image in the attachment below).</em>
<em>Therefore:</em>
- A familiar situation describing where one quantity changes constantly in relation to another quantity is: <em><u>the amount you pay as </u></em><em><u>cost </u></em><em><u>for buying gas at a gas station in relation to the </u></em><em><u>quantity of gas</u></em><em><u> you buy.</u></em>
<em><u /></em>
- The two quantities, <em><u>(</u></em><em><u>cost </u></em><em><u>and </u></em><em><u>quantity </u></em><em><u>of gas) are </u></em><em><u>directly proportional</u></em>.
- When you represent the relationship of cost of gas and quantity of gas on a graph, you will have: a proportional graph with cost ($) on the y-axis and quantity of gas (gallons) on the x-axis.
<em>(see attachment for how the </em><em>graph </em><em>will look like.)</em>
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The function that Ngozi's salary s(t) in dollars, t years after she starts to work as an interpreter is given by
.
What is a function?
- A function in mathematics from a set X(ax) to a set Y allocates exactly one element of Y to each element of X(ax).
- A relation between a collection of inputs and labor is known as a function.
You can use the fact that the raise is done on the previous year's salary.
Let the initial salary be P = $24000
After 1 year, her salary increased by R = 3.5% which, thus,
Total salary = P + increment
Similarly going on, we get
(we can say)
Putting values of P(value of P) and R(value of R), we get

Thus,
The function that Ngozi's salary s(t) in dollars, t years after she starts to work as an interpreter is given by

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The simplified product of
and -3
is -30
.
Given Two expressions: -3
and 2
.
We have to multiply both the expressions and it can be done as under:
-3
*2
Firstly we have to multiply -3 with 2 to get
=-6
Then we have to find square root of x cube and x square which is x to the power 3/2 and x to the power 1.
=
Now we have to multiply both the numbers in the root to get the answer;
=-6
Square root of 50 is 5 root 2.
=-6*5

=-30

Hence the simplified product is -30
.
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Answer:
4 equation 4
Step-by-step explanation:
did math in head