The quadratic $-6x^2+36x+216$ can be written in the form $a(x+b)^2+c$, where $a$, $b$, and $c$ are constants. What is $a+b+c$?

Answers

Answer 1
Answer:

Answer:

-47

Step-by-step explanation:

Step 1: Factor GCF

-6(x² - 6x - 36) = 0

Step 2: Divide by -6 on both sides

x² - 6x - 36 = 0

Step 3: Isolate x's

x² - 6x = 36

Step 4: Complete the Square

x² - 6x + 9 = 36 + 9

(x - 3)² = 45

Step 5: Move everything to one side

(x - 3)² - 45 = 0

So, a = 1, b = -3, c = -45

1 - 3 - 45 = -47


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Variable y varies directly with variable x, and y = 48 when x = 8. What is the value of y when x = 4?

y =

Answers

y/x=k   48/8=6=k   k is the constant       y/4=6    y=24

Final answer:

To find the value of y when x = 4 in a direct variation equation, we first solve for the constant of variation, k. Once we have k, we can substitute x = 4 into the equation and solve for y.

Explanation:

To find the value of y when x = 4, we can use the formula for direct variation:

y = kx

where k is the constant of variation. We can solve for k using the given information:

When x = 8, y = 48. Plugging these values into the formula, we get:

48 = k * 8

Solving for k, we find that k = 6.

Now we can use k to find the value of y when x = 4:

y = 6 * 4

y = 24

Learn more about Direct Variation here:

brainly.com/question/9775007

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Help this person with this problem because we are so done right now pic attached

Answers

-3 is in the opposite direction of V

in the central city grand prix out of 30 cars that started the race,12 of them finished. what percent of the cars finished the race? what percent did not finished the race?

Answers

To get the answer we can use proportion.
30 ------------- 100%
12 --------------x
crossmultiply now
30x=12*100%
30x=1200%      /:30 (divide both sides by 30)
x=40% - its the percentage of cars which finished the race.
100%-40%=60% - its the answer
Subtract 12 from 30 so that you know how many DID NOT finish. 30-12=18. 
12/30 finished. Divide 12 by 30. 12÷30=0.4, and multiply by 100%. 0.4x100=40, so
40% finished.

18/30 did not finish. Divide 18 by 30.  18÷30=0.6, and multiply by 100%. 0.6x100=60, so
60% did not finish.

an outdoor swimming pool cost $8 per day to visit during the summer there is also a $25 yearly registration fee is the total cost proportional to the total number of days visited

Answers

No. a proportional relationship has to cross the origin and with the added $25 registration fee the answer would not cross the origin. you can also tell by the linear equation it it was proportional the equation would either be y=mx+0 or just y+mx when m is y divided by x but your equation is y= 8x+25  

What is the area? Plz help fast I will mark brainliest ASAP!!

Answers

Answer:

≈ 44.65(7) m²

Step-by-step explanation:

A = π·r²·80°/360° = 3.14×64×80/360 ≈ 44.65(7) m²

What is the relationship for the fives in 2755

Answers

The 5 on the right represents 5, and the 5 on the left represents 50. 50 is 10 times more than 5, so the 5 on the left (the one that represents 50) is worth ten times more than the 5 on the right.