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Firlakuza [10]
3 years ago
9

Find the equation of the line with slope =8 and passing through (3,21) write your equation in the form y=Mx+b

Mathematics
1 answer:
stiks02 [169]3 years ago
4 0

Answer: y = 8x -3

Step-by-step explanation:

we know the slope already which is 8.

so the equation is: y = 8x + b

subsutite the x and y to get the value of b

21 = 8(3) + b

21 = 24 + b

b = -3

So the equation is: y = 8x -3

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Nine buses hold 85 people each. If 693 people buy tickets for a trip, how many seats won’t be taken?
Greeley [361]

Answer:

72

Step-by-step explanation:

you take 85 * 9

85 = # of seats

9 = # of buses

then you get 765

next, you take 765 - 693

765 = # of seats

693 = # people who bought tickets for a trip

finally you get 72

72 = # of empty seats

4 0
2 years ago
What is the range of function y=√(-2cos^2x+3cosx-1)
Ugo [173]
Hello Friend,here is the solution for your question


<span>so the given function is </span>
y= √(-2cos²x+3cosx-1)
 i.e = √[-2(cos²x-3/2+1/2)]
i.e = √[-2(cosx-3/4)²-9/16+1/2]
i.e. = √[-2(cos-3/4)²-1/16]
i.e. = √[1/8-3(cosx=3/4)²]-----------(1)

Now here  in this equation is this quantity :-
<span>(cosx=3/4)²----------------(2)   is to it's minimum value then the whole equation </span>
<span>i.e. = √[1/8-3(cosx=3/4)²] will be maximum and vice versa </span>


And we know that cosx-3/4 will be minimum if cosx=3/4
<span>therefore put this in (1) we get </span>
(cosx=3/4)²=0    [ cosx=3/4]
<span>hence the minimum value of the quantity (cosx=3/4)² is 0 </span>

<span>put this in equation (1) </span>
we get ,
i.e. = √[1/8-3(cosx=3/4)²]
   =√[1/8-3(0)]        [ because minimum value of of the quantity (cosx=3/4)² is 0 ]
     =√1/8
      =1/(2√2)

<span>this is the maximum value now to find the minimum value </span>

<span>since this is function of root so the value of y will always be ≥0 </span>

<span>hence the minimum value of the function y is 0 </span>


<span>Therefore, the range of function </span>y is [0,1/(2√2)]


__Well,I have explained explained each and every step,do tell me if you don't understand any step._

8 0
3 years ago
Evaluate x - 7 for x = 14.
Aleksandr-060686 [28]

Answer:

x=21

Step-by-step explanation:

x-7=14

add  7 to both sides

x=21

8 0
3 years ago
Complete the statement. Is 2.09 greater than or less than 2.1
AveGali [126]

Answer:

2.09 is less than 2.1

Step-by-step explanation:

2.1 is the same as 2.10

so 2.10 is greater than 2.09.

7 0
2 years ago
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Janet claims that her dog can do simple addition problems. She showed her dog 8 different cards with simple addition problems, a
ki77a [65]

Answer:  A

Step-by-step explanation:

i got it right in flvs

7 0
3 years ago
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