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Akimi4 [234]
2 years ago
5

Which point is the vertex of the graph defined by f(x) = 6|x − 2| − 5

Mathematics
2 answers:
bearhunter [10]2 years ago
6 0
(2,-5) https://www.mathpapa.com/algcalc2/?utm_expid=69051716-16.tNCYGchyRSmAD_peBBMf2Q.1&utm_referrer=https...
Kobotan [32]2 years ago
4 0

Answer:

vertex point is (2,-5)

Step-by-step explanation:

f(x) = 6|x - 2|- 5

The general form of the absolute function is

y=a|x-h|+k

where (h,k) is the vertex

WE compare the general form of the equation with our given equation to find vertex

y=a|x-h|+k

f(x) = 6|x - 2|- 5

h= 2 and k = -5

So vertex point is (2,-5)

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Courtney must earn at least $150 to pay for broken window. She earns $10 for every car she washes.
valkas [14]

Answer:

10c ≥ 150

At least 15 cars (or c ≥ 15)

Step-by-step explanation:

If she gets $10 for every car she washes a car then 10c is the rate of her gaining money and she needs at least (greater than or equal to) $150.

This equation can be used to express the situation:

10c ≥ 150

<em>To solve you divide the 10 from both sides of the inequality to get.</em>

c ≥ 15

5 0
2 years ago
I'm so confused please helpppppppp<br><br> How is C correct please show your work
777dan777 [17]

Answer:

Step-by-step explanation:

She makes $325 a week, so go to the 8th row, for weekly income of $300 to $400.  She claims 2 exemptions, so go to the third column labeled 2.  The value is 2.  That means the $2 is withheld from her paycheck on top of the 6.25% for FICA.  The total is therefore:

$2 + (0.0625) ($325)

$22.3125

Rounded to the nearest cent, that's $22.31.

3 0
3 years ago
Step 3a: Calculating the average rate
Alex73 [517]

9514 1404 393

Answer:

  a) average rate = (total distance)/(total time)

  b) Rave = 2·R1·R2/(R1 +R2)

  c) cheetah's average rate ≈ 50.91 mph

Step-by-step explanation:

a) Let AB represent the distance from A to B. Let t1 and t2 represent the travel times (in hours) on leg1 and leg2 of the trip, respectively. Then the distances traveled are...

  First leg distance: AB = 70·t1   ⇒   t1 = AB/70

  Second leg distance: AB = 40·t2   ⇒   t2 = AB/40

The average rate is the ratio of total distance to total time:

  average rate = (AB +AB)/(t1 +t2)

  average rate = 2AB/(AB/70 +AB/40) = 2/(1/70 +1/40) = 2(40)(70)/(70+40)

  average rate = 560/11 = 50 10/11 . . . mph

__

No equations are given, so we cannot compare what we wrote with the given equations. In each step of the solution, we have used the rules of algebra and equality.

b) For two rates over the same distance (as above), the average is their harmonic mean:

  average rate = 2r1·r2/(r1+r2)

__

c) The cheetah's average rate was 50 10/11 mph ≈ 50.91 mph.

4 0
3 years ago
If it is now 5:00 AM, what time will it be in 1000 hours
VikaD [51]

Answer:

9:00pm

Step-by-step explanation:

If now is 5:00 am

After 1000hrs

24hrs makes a day

1000hrs = 1000/24 = 41 days remainder 16hrs

Therefore 5:00 + 16 hrs = 2100 hr

= 9:00pm

I hope this was helpful, please mark as brainliest

5 0
3 years ago
10 less than 5 times a number is less than 6 times the number decreased by eight
-BARSIC- [3]

Answer:

The Answer is: the Number is -2

Step-by-step explanation:

Let n = the number.

Five times the number minus 10 is less than 6 times the number minus eight:

5n - 10 = 6n - 8

-1n = -8 + 10

-n = 2

n = -2, the value of the number is -2.

Proof:

5(-2) - 10 = 6(-2) - 8

-10 - 10 = -12 - 8

-20 = -20

Hope this helps! Have an Awesome Day!! :-)

8 0
3 years ago
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