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Sergio039 [100]
3 years ago
15

Can someone explain to me how to do this?

Mathematics
2 answers:
damaskus [11]3 years ago
8 0

Answer:

Step-by-step explanation:

So she will get two hundred a week because 400 divided by 10 is 200 and 200 hundred divided by 2 is one hundred.

mote1985 [20]3 years ago
7 0
She will get 200 a week
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(a) Derive an equation of the line passing through the points A(0, 545) and B(4, 726). (Let t be the independent variable and y
a_sh-v [17]

Answer:

The equation of the line is y=45.25t+545

Step-by-step explanation:

The general for of a line is:

y=mt+n       (1)

where:

m is the slope of the line and m is the intercept with the axis of the dependent variable, y in this case.

In order to obtain the value of the slope (m) we can use the corresponding slope formula:

m=\frac{y_{2}-y_1 }{t_2-t_1}         (2)

where t_1, t_2, y_1 and y_2 are the corresponding coordinates of the given points. In this case:

t_1=0\\t_2=4\\y_1=545\\y_2=726\\

Substituting these values in equation (2) we obtain:

m=\frac{726-545}{4-0}=\frac{181}{4}=45.25\\m=45.25

Hence, the line equation is now:

y=45.25t+n     (3)

Now to obtain the value of n you can follow two options:

  1. You can substitute one of your points, A or B, in equation (3). In this way, you will obtain an equation where the variable is n

Note that for this question, it is easier to select point A because of having the independent variable equals to zero t=0. Hence, substituting point A in equation (3):

45.25*0+n=545\\n=545

Therefore, the line equation is: y=45.25t+545

The second option to find n is to think of the meaning of the <em>intercept</em>. The <em>intercept </em>of a line is defined as the point in which the line crosses the axis of the dependent variable, which also means that the value of the independent variable for this point is zero. From this, we could have automatically said that n is equal to 545.

See the attachment for a plot of the line.

7 0
3 years ago
It is given that 2(3 + x) = 6 + 2x. This is an example of the ___________ property.
vazorg [7]
Since when you multiply the numbers through, you see that the values are the same. Because of this, you can tell that you are demonstrating the distributive property.

Answer = C
6 0
2 years ago
Read 2 more answers
E=6c^2-2c-1<br> F=-4c^2+7c+5<br> E+F=
kifflom [539]

Answer:

E + F =   2c^2  + 5c + 4

Step-by-step explanation:

E=6c^2-2c-1

F=-4c^2+7c+5

E+F=  6c^2   -2c   -1  +  -4c^2   +   7c   +  5

E + F =   6c^2 - 4c^2  - 2c + 7c  - 1  + 5

E + F =   2c^2  + 5c + 4

4 0
2 years ago
Find the dimensions of the rectangle of largest area that has its base on the x-axis and its other two vertices above the x-axis
Igoryamba
<span>let 2x be the length of rectangw where x is value of x of point on parabola width is represented as y is the length.

  Area = 2x*y = 2x (5-x^2) = 10x -2x^3
 maximize Area by finding x value where derivative is zero
 dA/dx = 10 -6x^2 = 0
 --> x = sqrt(5/3)

optimal dimensions: length = 2sqrt(5/3) width = 10/3</span>
8 0
3 years ago
Which equations are equivalent to a/b = c/d? Choose more than one answer.
Kruka [31]

Answer:

1/3= 5/15

Step-by-step explanation:

3 0
3 years ago
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