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Butoxors [25]
2 years ago
8

HELP ASAP!! QUADRATIC FUNCTIONS!! what is the equation in standard form of these points?

Mathematics
2 answers:
horsena [70]2 years ago
7 0

Answer:

-x^2+5x

Step-by-step explanation:

Let the quadratic be ax^2+bx+c. Therefore, if you plug in the first point,

a(0)^2+b(0)+c=0\\c=0

and if you plug in the 2 other points,

a-b=-6\\4a+2b=6

Multiply the first equation by 2:

2a-2b=-12

and add it up to the second equation:

6a=-6\\a=-1

Lastly, plug in a for the first equation:

-1-b=-6\\b=5

Therefore, the final quadratic is \boxed{-x^2+5x}

Mamont248 [21]2 years ago
4 0
Y=-x²+5x


Step by step explanation This is how I got the answer to your question and I gave you the solution I hope this helps you out
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Write the decimal 0.8¯¯¯ as a fraction in simplest form.
denis23 [38]

Answer: 4/5

Step-by-step explanation:

0.8 is 8 tenths which is 8/10 in fraction form

8/10 with both sides divided by two is 4/5

hope this helps u

4 0
3 years ago
It takes Jack Frost 5 minutes to fly 35 minutes with the wind. It takes him 7 minutes to go 35 minutes against the wind. Determi
dezoksy [38]

Answer:his speed in still air is 6 miles per minute.

the speed of the wind is 1 mile per minute.

Step-by-step explanation:

Let x represent his speed in still air.

Let y represent the speed of the wind.

It takes Jack Frost 5 minutes to fly 35 miles with the wind. This means that his total speed would be x + y

Distance = speed × time

It means that

35 = 5(x + y)

35 = 5x + 5y - - - - - - - - - - -1

It takes him 7 minutes to go 35 miles against the wind. This means that his total speed would be x - y

It means that

35 = 7(x - y)

35 = 7x - 7y - - - - - - - - - - -2

Multiplying equation 1 by 7 and equation 2 by 5, it becomes

245 = 35x + 35y

175 = 35x - 35y

Adding both equations, it becomes

420 = 70x

x = 420/70 = 6

Substituting x = 6 into equation 1, it becomes

35 = 5 × 6 + 5y

35 = 30 + 5y

5y = 35 - 30 = 5

y = 5/5 = 1

5 0
3 years ago
How am i supposed to make a function? Number 15
Greeley [361]

Part A

<h3>Answer: T(n) = 58n+1800</h3>

-------------

Work Shown:

1800 = initial cost or starting cost

58*1 = 58 = cost for one person

58*2 = 116 = cost for two people

58*n = cost for n people

58n+1800 = total cost

58n+1800 = T(n)

T(n) = 58n+1800

======================================

Part B

<h3>Answer: D(T) = 0.85T</h3>

-------------

Work Shown:

T = total bill

15% discount means you still pay 85% of the bill (85%+15% = 100%)

D = discounted cost

D = 85% of T

D = 0.85*T

======================================

Part C

<h3>Answer: D(T(n)) = 49.3n + 1530</h3><h3>See attached image below for the table.</h3>

-------------

Work Shown:

We combine parts A and B.

T(n) = 58n+1800 from part A

D(T) = 0.85*T from part B

D(T(n)) = 0.85*( T(n) )

D(T(n)) = 0.85*( 58n+1800 ) ... plug in T(n) = 58n+1800

D(T(n)) = 0.85*( 58n+1800 )

D(T(n)) = 0.85*(58n)+0.85*(1800) ... distribute

D(T(n)) = 49.3n + 1530

If we plugged in n = 0, then,

D(T(n)) = 49.3n + 1530

D(T(0)) = 49.3*0 + 1530

D(T(0)) = 1530

Or we could plug n = 0 into T(n) to get T(0) = 1800

Then plug T = 1800 into D(T) = 0.85*T to get D(1800) = 1530

Either way you'll get the same answer.

Repeat this (using either method) for n = 50, 100, 150, 200 and you'll get the table of values you see below in the attached image.

======================================

Part D

The D( T(n) ) function allows us to find the discounted cost D for any number n of people that show up.

The input is n, where n is some positive integer less than or equal to 200 (because this is the reception hall's max capacity).

The output is the final discounted cost.

Example: n = 50 is one input which leads to its corresponding output of D( T(n) ) = 3995 as the table shows. So 50 people would have a discounted total cost of $3,995.

5 0
3 years ago
The base area of a triangular pyramid is 22 square yards and the height of the pyramid is 15 yards. What is the volume of the tr
galben [10]

Answer:

110 yards^3

Step-by-step explanation:

volume of a  triangular pyramid=  1/3 area x height

1/3 x (22) x 15 = 110 yd^3

7 0
2 years ago
URGENT HELPP!!!
Aleonysh [2.5K]
<span>All three sides of triangle X'Y'Z' must be parallel to the corresponding sides in triangle XYZ and the corresponding angles are congruent .

The dilated triangle will be similar to the original triangle, which means all angles will be the same. 

</span><span>The sides of the two triangles will also be parallel. You can test this by observing the slopes:
Line XY has a slope of 2/3, moving from -4,2 and passing through -1,4.
Line X'Y' has the same slope, moving from (-6,3) to (-3,5)

You can see that this is the case for all corresponding sides' slopes. </span>
3 0
3 years ago
Read 2 more answers
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