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sammy [17]
3 years ago
7

Please help, I’ve been struggling with mental health lately and I need to get back on track but I’m struggling with these questi

ons thank you ❤️

Mathematics
2 answers:
lesantik [10]3 years ago
5 0

Answer:

Hey if you want you can join our mental health awarness club I run the club

Step-by-step explanation:

Svetllana [295]3 years ago
3 0

Answer:

20/8 and 45/18

Step-by-step explanation:

Set each fraction up with the proportion 10/4 and cross multiply to see if there products are equal.

E.x 20/8

10/4=20/8 then cross multiply

10×8=80 and 20×4=80

80=80

Another one is 45/18.

10/4=45/18

10×18=180 45×4=180

180=180

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Part A: Marguerite rented a truck at $125 for 2 days. If she rents the same truck for 5 days, she has to pay a total rent of $27
Evgen [1.6K]
PART A:
To obtain an equation in the standard form to represent the total rent (y) that Marguerite has to pay for renting the truck for x days, we use the fomula for the equation of a straight line.

Recall that the equation of a straight line passing through points (x_1,\ y_1) and points (x_2,\ y_2) is given by
\frac{y-y_1}{x-x_1} = \frac{y_2-y_1}{x_2-x_1}

Given that <span>Marguerite rented a truck at $125 for 2 days. If she rents the same truck for 5 days, she has to pay a total rent of $275.
This means that the lne modelling this situation crosses points (2, 125) and (5, 275).
</span>
The equation modelling <span>the total rent (y) that Marguerite has to pay for renting the truck for x days is given by,
\frac{y-125}{x-2} = \frac{275-125}{5-2} = \frac{150}{3} =50 \\  \\ y-125=50(x-2)=50x-100 \\  \\ y=50x+25

Writing the equation in standard form, we have
50x - y = -25


PART B:
Writing the function using function notation means making 'y' the subject of the formula and then replacing the 'y' with 'f(x)'.

Recall that from part A, we have that the equation for </span><span>the total rent (y) that Marguerite has to pay for renting the truck for x days is given by y = 50x + 25.

Writing the equation using the function notation, we have
f(x) = 50x + 25


PART C:
To graph the function, we label the x-axis 'number of days' and label the y-axis 'total rent'. the x-axis is numbered using the intervals of 1 while the y-axis is labelled using the intervals of 50.
The points </span><span>(2, 125) and (5, 275) are marked on the coordinate axis and a straight line is drawn to pass through the two points.</span>
5 0
4 years ago
A con is tossed n times. How many difference sequences of head and tails can you get?
ryzh [129]

Answer:

2^n

Step-by-step explanation:

So whenever you flip a coin, you can see it as 2 nodes branching off of each existing node. so for example when you flip a coin once you're going to have 2 sequences initially H and T, now when you flip a coin again for each of those 2 sequences 2 are going to branch off of that, making the total sequences 4, and the next flip 2 sequences are going to branch off each of the 4 sequences and so on. this can generally be described as: 2^n

I attached an image describing this a bit better but the bottom line is that for each 'end node'/sequence you're going to have 2 branch off of it, thus for each coin flip the number of sequences multiplies by 2

5 0
2 years ago
Read 2 more answers
PLZ HELP ITS TESTED lol
Naddik [55]

Answer:

A

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Jan has a piece of yarn that is 6 1/2 feet long. She cuts off a piece that is 2 5/12 feet long. How much yarn does she have left
icang [17]
The answer is b because all you have to do is just subtract if I am wrong so sorry
5 0
3 years ago
Find the area enclosed between f(x)=0.3x2+7 and g(x)=x from x=−4 to x=8.
denis23 [38]
First, we sketch a picture to get a sense of the problem. g(x)=x is a diagonal line through (0,0) with slope = = 1. Since we are interested in the area between x = -4 and x = 8, we find the points on the line at these values. These are (-4, -4) and (8,8).

f(x) is a parabola. It's lowest point occurs when x = 0. It is the point (0,7). At x = -4 and x=8 it has the values 11.8 and 26.2 respectively. That is, it contains the points (-4, 11.8) and (8,26.2).

From these we make a rough sketch (see attachment). This is a sketch and mine is very incorrect when it comes to scale but what matters here is which of the curves is on top, which is below and whether they intersect anywhere in the interval, so my rough sketch is good enough. From the sketch we see that f(x) is always above (greater than) g(x).

To find the area between the curves over the given interval we integrate their difference and since f(x) is strictly greater than g(x) we subtract as follows: f(x) - g(x). The limits of integration are the values -4 and 8 (the x-values between which we are looking for the area.

Now let's integrate:
\int\limits^{8}_ {-4}f(x)-g(x) \, dx = \int\limits^{8}_ {-4}.3 x^{2} +7-x \, dx
The integral yields: [tex](\frac{.3 (8)^{3} }{3} +7(8)- \frac{ (8)^{2} }{2}) -(\frac{.3 (-4)^{3} }{3} +7(-4)- \frac{ (-4)^{2} }{2}) = 117.6 [/tex]
We evaluate this for 8 and for -4 subtracting the second FROM the first to get:


4 0
3 years ago
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