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horrorfan [7]
3 years ago
10

Help! What's -8 > x/6 - 9? _

Mathematics
1 answer:
Aleks04 [339]3 years ago
7 0
Your answer would be x<6
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If y varies directly as x, and y is 18 when x is 5, which expression can be used to find the value of y when x is 11?
Rzqust [24]
Y=kx is the direct variation equation
First plug in the x, y values given to find K
18=k(5)
18/5=k
3.6 = k
Use the k and write a new equation.
y=3.6x
Plug in the x value to solve for y.
y = 3.6(11)
y= 39.6
7 0
3 years ago
(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
Marcie can swim 20 laps in an hour. How many hours will it take her to swim 100 laps
Margarita [4]

Answer:

5 hours

Step-by-step explanation:

We can write a ratio

20 laps           100 laps

-------------- = --------------

1 hour            x hours

Using cross products

20x = 100

Divide by 20

20x/20 = 100/20

x = 5 hours

4 0
3 years ago
Read 2 more answers
5)
stealth61 [152]

Answer:

the correct answer is option D. median is 7 and mean is 5.93

7 0
3 years ago
Can a scatter plot show a linear association but neither a positive nor a negative association?
vodomira [7]
Yes, it's called no association. 

I hope this helped! Please take the time to rate, pick the Brainliest answer (not necessarily mine!), and thank me if you feel I helped with this question! Thank you, it helps me a lot. :) 
8 0
4 years ago
Read 2 more answers
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