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kicyunya [14]
2 years ago
10

What would be the slope of the line that passses through 4, 5 and 7, 6

Mathematics
1 answer:
Angelina_Jolie [31]2 years ago
7 0
Use the formula:
y2-y1
———
x2-x1

So for this problem it would be:

6-5
——
7-4

= 1
—
3

Hope this helped, if it did I would appreciate it if you would consider giving me brainliest!
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Monthly sales of an SUV model are expected to increase at the rate of S′1t2 = -24t 1>3 SUVs per month, where t is time in mon
uysha [10]

The company will continue to manufacture this model for 19 months.

The question is ill-formatted. The understandable format is given below.

An SUV model's monthly sales are anticipated to rise at a rate of

S'(t)=-24^{1/3} SUVs each month, where "t" denotes the number of months and "S(t)" denotes the monthly sales of SUVs. When monthly sales of 300 SUVs are reached, the business intends to discontinue producing this model.

Find S if monthly sales of SUVs are 1,200 at time t=0 (t). How long will the business keep making this model?

Given S'(t)=-24^{1/3} ... ... (1)

Condition (1) at t=0; s(t) =1200

We find S(t)=300 then t=?

a) We find S(t)

from S'(t)=-24^{1/3}

\implies \frac{dS(t)}{dt}=-24t^{1/3} ~~[\because X'(t)=\frac{dX}{dt} \\\implies dS(t) = -24t^{1/3}dt\\

On Integrating both sides

S(t)=-18t^{4/3}+c ~...~...~(2)

Now, at t=0 then S(t)=1200

So, from (2)

1200=0+c

⇒c=1200

\thereforefrom eq (2)

S(t)=-18t^{4/3}+1200 ~...~...~(3)

b) Considering that the firm intends to cease production of this model once monthly sales exceed 300 SUVs.

So, take S(t)=300

from eq (2) 300=-18t^{4/3}+1200

t^{4/3}=\frac{1200-300}{18}\\=\frac{900}{18}=50\\\implies t=50^{3/4}\\\implies t=18.8030

Hence the company will continue 18.8020 months.

Learn more about integration here-

brainly.com/question/18125359

#SPJ10

8 0
1 year ago
In the diagram below, AB || CD, EF || GH, and m m
Ne4ueva [31]

Answer:

Angle AJL=54

Step-by-step

3 0
3 years ago
A bookstore sells textbooks for $80 each and notebooks for $4 dollars each. The bookstore would like to sell $800 in merchandise
mariarad [96]

Answer: 8 textbooks

Step-by-step explanation:

Sold 40 notebooks = 40 x $4 = $160

$800 - $160 = $640 left to sell

$640/$80 (cost of textbook) = 8 textbooks need to be sold

3 0
3 years ago
Are 2/5 4/10 6/15 and 8/20 proportional?
Over [174]
Yes, since you can multiply 2/5 numerator and denominator to get the rest of the fractions, it makes them all equivalent.
5 0
3 years ago
Read 2 more answers
The graph shows two lines, A and B.
Galina-37 [17]

Hello!

The solution is where the lines intersect. As you can see, they only intersect at one point.

A) It as one solution.

To find our solution, we just see what the point is they intersect at.As you can see, they intersect at (4,4).

B) (4,4)

I hope this helps!


5 0
3 years ago
Read 2 more answers
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