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Leni [432]
3 years ago
14

A manufacturer of graphing calculators has determined that 12,500 calculators per week will be sold at a price of $97. at a pric

e of $92, it is estimated that 14,400 calculators would be sold. determine a linear function that will predict the number of calculators y that would be sold at a given price x use this model to predict the number of calculators that would be sold at 75
Mathematics
1 answer:
Sergeeva-Olga [200]3 years ago
6 0

Answer: S= 400x + 10000, 18,000

Step-by-step explanation:

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Prove algebraically that r = 10/2+2sinTheta is a parabola
Xelga [282]

Answer:

y =  -  \frac{ 1 }{10} {x}^{2}   +  \frac{5}{2}

Step-by-step explanation:

We want to prove algebraically that:

r =  \frac{10}{2 + 2 \sin \theta}

is a parabola.

We use the relations

{r}^{2}  =  {x}^{2}  +  {y}^{2}

and

y = r \sin \theta

Before we substitute, let us rewrite the equation to get:

r(2 + 2 \sin \theta) = 10

Or

r(1+  \sin \theta) = 5

Expand :

r+  r\sin \theta= 5

We now substitute to get:

\sqrt{ {x}^{2}  +  {y}^{2} }  + y = 5

This means that:

\sqrt{ {x}^{2}  +  {y}^{2} }=5 - y

Square:

{x}^{2}  +  {y}^{2} =(5 - y)^{2}

Expand:

{x}^{2}  +  {y}^{2} =25 - 10y +  {y}^{2}

{x}^{2}  =25 - 10y

{x}^{2}  - 25 =  - 10y

y =  -  \frac{ {x}^{2} }{10}  +  \frac{5}{2}

This is a parabola (0,2.5) and turns upside down.

4 0
3 years ago
THIS IS THE LAST ONE THX
Nataly_w [17]
Letter D it’s incorrect, not sure tho
7 0
3 years ago
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How could you convert a rate of 18,000 mph to miles per second
Dmitrij [34]
Hi there,

(18000 miles / 1 hour)(1 hour / 60 minutes)(1 minute / 60 seconds) adds up to <span>18000 miles / 3600 seconds, which then adds up to </span><span>5 miles / 1 second...
</span>
you should get a total of 5 miles per second

I hope I helped :)
6 0
3 years ago
three friends jogged last month. Richard jogged 9 miles last month. Jena jogged 2 times as many miles as Richard. Brian jogged 4
ANTONII [103]

Answer:

Jena=18 miles Brian=36 miles

Step-by-step explanation:

well if you add what Richard got and double it (9+9=18 or 9x2=18) you get how much Jena ran. then if u add (9+9+9+9=36 or 9x4=36) you get Brians miles he ran


8 0
3 years ago
Whats the definition of PI
natta225 [31]

Answer:

PI is the the area around the circumfrance. It is equal to 3.14.

3 0
2 years ago
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