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lorasvet [3.4K]
3 years ago
13

Emergency !! y=2x^(2)-12x+46 please put steps

Mathematics
1 answer:
Kamila [148]3 years ago
7 0

y = 2x^2 - 12x + 46

Compare your equation with the standard form of the equation:

y = ax^2 + bx + c

For your equation, a = 2, b = -12, c = 46.

The vertex has x-coordinate -b/(2a).

The x-coordinate of the vertex is: -(-12)/(2 * 2) = 12/4 = 3

Now we plug in x = 3 into the function to find the y-coordinate of the vertex.

y = 2(3^2) - 12(3) + 46

y = 2(9) - 36 + 46

y = 18 - 36 + 46

y = 28

The vertex is (3, 28)

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mojhsa [17]

You’re answer - (0,7)

Hope I helped

8 0
3 years ago
The area of the triangle formed by x− and y− intercepts of the parabola y=0.5(x−3)(x+k) is equal to 1.5 square units. Find all p
jeka57 [31]

Answer:

K = -1 or -2

Step-by-step explanation:

Given the equation of parabola is, y = 0.5(x-3)(x+k).

Finding y-intercept, put x=0 and solve for y :-

y = 0.5(0-3)(0+k)

y = 0.5(-3)(k)

y = -1.5k

Finding x-intercepts, put y=0 and solve for x :-

0 = 0.5(x-3)(x+k)

(x-3)(x+k) = 0

x = 3 OR x = -k

So, the coordinates of triangle ABC are:-

A(0, -1.5k), B(3, 0), and C(-k, 0)

Assuming origin O(0,0), find the area of triangle ABC:-

Area = (1/2) * BC * OA

Area = (1/2) * (k+3) * (1.5k)

But given the area is 1.5 square units.

So, (1/2) * (-k-3) * (1.5k) = 1.5

(1/2) * (-k-3) * (k) = 1

k(-k-3) = 2

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k² +3k +2 = 0

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So, k = -1 or k = -2

7 0
3 years ago
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A certain composite number has 4 factors and the sum of them is 96. Find the number(hint the number is divisible by 7). Just don
ankoles [38]

Answer:

\huge\boxed{77}

Step-by-step explanation:

The number can be divisible by 7.

The multiples of 7 are 7,14,21,28,35,42,49,56,63,70,77,84 and so on

<u>Finding the factors for all of the multiples of 7:</u>

7 => 1,7   [Not 4 factors]

14 => 1,2,7,14    [4 factors but Sum = 24]

21 => 1,3,7,21   [4 factors but Sum = 32]

28 => 1, 2, 4, 7, 14, 28    [Not 4]

35 => 1,5,7,35   [4 factors but Sum = 48]

42 => 1, 2, 3, 6, 7, 14, 21, 42     [Not 4]

49 => 1,7,49   [Not 4]

56 => 1, 2, 4, 7, 8, 14, 28, 56       [Not 4]

63 => 1, 3, 7, 9, 21, 63     [Not 4]

70 => 1, 2, 5, 7, 10, 14, 35, 70    [Not 4]

77 => 1, 7, 11, 77     [4 factors and Sum = 96]

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3 years ago
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What the slope of (15,9) (-10,3) ​​
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slope =  \frac{3 - 9}{ - 10 - 15}  \\

slope =  \frac{ - 6}{ - 25}  \\

slope =  \frac{6}{25}  \\

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

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3 years ago
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Answer:

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2 years ago
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