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Lisa [10]
1 year ago
5

Please help ty:)

Mathematics
1 answer:
Vlada [557]1 year ago
7 0

The quadratic function in standard form that passes through ( - 2, 0 ), ( 4, 18 ), and ( 10, 0 ) is y = ( - 1/2 ) x² + 4x + 10.

The standard form of a quadratic equation is given as:

ax² + bx + c = 0 where a, b, c are real numbers and a ≠ 0.

Now, the equation passes through ( - 2, 0 ).

y = ax² + bx + c

0 = 4a - 2b + c                                                                          ----------------(1)

The equation passes through ( 4, 18 ).

y = ax² + bx + c

18 = 16a + 4b + c                                                                      ----------------(2)

The equation passes through ( 10, 0 ).

y = ax² + bx + c

0 = 100a + 10b + c                                                                       ----------------(3)

Using the Gauss elimination method to solve the system of equations we get,

a = -1/2, b = 4, and c = 10

Hence, the quadratic equation will be:

y = ax² + bx + c

y = ( - 1/2 ) x² + 4x + 10

Learn more about quadratic function here:

brainly.com/question/5428105

#SPJ1

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Solve for x. -0.65 + 0.45x = 5.4
FinnZ [79.3K]

Answer:

x = 13.444 ... (repeating decimal) or;

x = 13 4/9

Step-by-step explanation:

-0.65 + 0.45x = 5.4

First we will add 0.65 to each 'side' of the equation.

0.65 + (-0.65) + 0.45x = 0.65 + 5.4

        0.65 + (-0.65) = 0

        0.65 + 5.4 = 6.05

Input the numbers, and now the equation looks like this:

0 + 0.45x = 6.05

Remove the zero:

0.45x = 6.05

Divide each 'side' by 0.45.

0.45x ÷ 0.45 = 6.05 ÷ 0.45

        0.45x ÷ 0.45 = 1x = x

        6.05 ÷ 0.45 = 13.444 ... repeating decimal

Input the numbers, and now the equation looks like this:

x = 13.444 ... repeating decimal

We can also write this as:

x = 13 4/9 in fraction form

3 0
3 years ago
18 tens 20 ones = ______hundreds
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Answer:

200

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GOLF Sergio and three friends went golfing.Two of the friends rented clubs for $6 each.The total cost of the rented clubs and th
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Complete question

<em>18. GOLF Luis and three friends went golfing. Two of the friends rented clubs for $6 each. The total cost of the rented </em>

<em>clubs and the green fees for each person was $76. What was the cost of the green fees for each person? Define a </em>

<em>variable, write an equation, and solve the problem.</em>

The variable defined is "y", the equation is 4y + 2(6) = 76 and the value of the unknown variable is 16

Let the cost of green fees per person be y

If Luis and three friends went golfing, this means that 4 people went golfing.  The total cost of green fees for all of them will be $4y

If two of the friends rented clubs for $6 each, total amount spent will be $2(6)

The equation that models the statement will then be expressed as;

4y + 2(6) = 76\\

Solve for y

4y + 2(6) = 76\\4y+12 = 76\\4y = 76 - 12\\4y = 64\\y =\frac{64}{4}\\y = 16

The variable defined is "y", the equation is 4y + 2(6) = 76 and the value of the unknown variable is 16.

Learn more here: brainly.com/question/13138388

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