MATHEMATICS HIGH SCHOOL

What is the y-intercept of y=-2x+6?​

Answers

Answer 1
Answer: The y-intercept is 6 or (0,6)
Answer 2
Answer:

Answer:

6 is the y-intercept of y = -2x + 6

Step-by-step explanation:

hope this helps :)

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Sarah described the following situation:When fertilizer was added to one plant and nothing was added to another plant, there was a noticeable difference in the color of the leaves of the plants.

Which of the following best describes the situation?

A. This is an example of correlation but not causation.

B. This is an example of causation but not correlation.

C. This is an example of both correlation and causation.

D. This is an example of neither correlation nor causation.

Answers

When Sarah added the fertilizer and there was a noticeable difference, we can say that:

  • B. This is an example of causation but not correlation.

What is Causation?

Causation occurs when an effect is noticed because of a traceable item. The traceable item, in this case, is the fertilizer.

So when the fertilizer was added and a change in color was noticed, we can deduce that the difference was because of the fertilizer.

Therefore, option B is correct.

Learn more about causation here:

brainly.com/question/12479370

#SPJ5

Answer: B.) This is an example of causation but not correlation.

Step-by-step explanation: Causation is a cause and effect, because fertilizer was added to one plant, it's leaf color was improved.

Which word shares a word root with remember?revisit
reenter
medical
memory

Answers

memory bc when you remember something that means its in your memories?

Answer:

( D) Memory

Step-by-step explanation:

At a restaurant jars of tomato sauce are stored in boxes in the pantry . each box contains 8 jars of tomato sauce . A cook uses 2 jars from 1 of the boxes .Which function shows the relationship between y , the total number of jars of tomato sauce remaining in the pantry , and x , the number of boxes in the pantry?​

Answers

Answer: y=8x-2

Step-by-step explanation

Because 8 jars per box would be 8x (x for how many boxes) and subtract 2 so it would be y=8x-2

Answer:

Step-by-step explanation:

y=8x-2

Solve the equation. X^2-6x+6=0

Answers

x^2-6x+6=0 \n \na=1, \ \ b=-6, \ \ c=6 \n\n\Delta =b^2-4ac = (-6)^2 -4\cdot1\cdot 6 = 36-24=12\n\n√(\Delta )=√(12)=√(4\cdot 3)=2√(3)\n \nx_(1)=(-b-√(\Delta) )/(2a)=(6-2√(3))/(2 )=(2( 3- √(3)))/(2)= 3- √(3)\n\nx_(2)=(-b+√(\Delta) )/(2a)=(6+2√(3))/(2 )=(2( 3+ √(3)))/(2)= 3+ √(3)
x^2-6x+6=0\n x^2-6x+9-3=0\n (x-3)^2=3\n x-3=\sqrt 3 \vee x-3=-\sqrt3\n x=3+\sqrt3 \vee x=3-\sqrt3

The quantity demanded per month, x, of a certain make of personal computer (PC) is related to the average unit price, p (in dollars), of PCs by the equationx = f(p) =1009810,000 − p2It is estimated that t mo from now, the average price of a PC will be given byp(t) =4001 +18t+ 200 (0 ≤ t ≤ 60)dollars. Find the rate at which the quantity demanded per month of the PCs will be changing 16 mo from now. (Round your answer to one decimal place.)

Answers

Answer:

The value of dx/dt is (100p)/(9√((810000-p^2))).(1600)/(√(t)\left(√(t)+8\right)^2)\n while the rate of change of quantity demanded per month after 16 months is 18.7.

Step-by-step explanation:

From the given data the equation of quantity demanded for average price is given as  is given as

x=f(p)=(100)/(9)√(810000-p^2)

The equation of average price p for a given value of t is given as

p(t)=(400)/(1+(1)/(8)√(t))+200

Now in order to determine the rate at which the quantity demanded will be changing is given as (dx)/(dt)

This is found by using the chain rule as

(dx)/(dt)=(dx)/(dp).(dp)/(dt)

Now

(dx)/(dp)=(d((100)/(9)√(810000-p^2)))/(dp)\n(dx)/(dp)=(100)/(9)(d)/(dp)[(810000-p^2)^(1/2)]\n(dx)/(dp)=(100)/(9)(1)/(2)[(810000-p^2)^(-1/2)](d)/(dp)[(810000-p^2)]\n(dx)/(dp)=(50)/(9)[(810000-p^2)^(-1/2)](-2p)\n(dx)/(dp)=(100p)/(9√((810000-p^2)))

Now

\n(dp)/(dt)=(d((400)/(1+(1)/(8)√(t))+200))/(dt)\n(dp)/(dt)=(d)/(dt)\left((400)/(1+(1)/(8)√(t))+200\right)\n(dp)/(dt)=(d)/(dt)\left((400)/(1+(1)/(8)√(t))\right)+0\n(dp)/(dt)=400(d)/(dt)\left((1)/(1+(1)/(8)√(t))\right)\n(dp)/(dt)=400(d)/(du)\left(\left(1+(1)/(8)√(t)\right)^(-1)\right)(d)/(dt)\left(1+(1)/(8)√(t)\right)\n(dp)/(dt)=-(1600)/(√(t)\left(√(t)+8\right)^2)

So now the value of dx/dt is given as

(dx)/(dt)=(dx)/(dp).(dp)/(dt)\n(dx)/(dt)=(100p)/(9√((810000-p^2))).(1600)/(√(t)\left(√(t)+8\right)^2)\n

So the value of dx/dt is (100p)/(9√((810000-p^2))).(1600)/(√(t)\left(√(t)+8\right)^2)\n

Now for the time =16 months price is given as

p(t)=(400)/(1+(1)/(8)√(t))+200\np(16)=(400)/(1+(1)/(8)√(16))+200\np(16)=466.67

Now the value of x is given as

(dx)/(dt)=(100p)/(9√((810000-p^2))).(1600)/(√(t)\left(√(t)+8\right)^2)\n\n(dx)/(dt)=(100*466.67)/(9√((810000-466.67^2))).(1600)/(√(16)\left(√(16)+8\right)^2)\n(dx)/(dt)=18.72

So the rate of change of quantity demanded per month after 16 months is 18.72

How do you do,
csc2x-cot2x = tanx

Answers

csc2x-cot2x=tanx \n \n ((1)/(2)cscxsecx) -( (cotx-tanx)/(2) )=tanx \n \n ((cscxsecx)/(2)) -( (cotx-tanx)/(2) )=tanx \n \n (( (1)/(sinx) (1)/(cosx) )/(2)) -( (cotx-tanx)/(2) )=tanx \n \n ((1)/(2(sinxcosx))) -( (cotx-tanx)/(2) )=tanx \n \n ((1)/(2(sinxcosx))) -( ((sinxcosx)*cotx-tanx)/(2*(sinxcosx)) )=tanx \n \n (1-(cos^2x-sin^2x))/(2(sinxcosx)) =tanx \n \n (1-cos^2+sin^2x)/(2(sinxcosx))=tanx

(sin^2x+sin^2x)/(2(sinxcosx)) =tanx \n \n (1-cos2x)/(sin2x) =tanx \n \n (sin2x)/(cos2x+1)=tanx \n \n tanx=tanx
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