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Travka [436]
3 years ago
9

Write the quadratic function in vertex form. y=-3x^2+24x-50

Mathematics
1 answer:
castortr0y [4]3 years ago
4 0

Answer:

Step-by-step explanation:

y = -3x² + 24x - 50

factor out leading coefficient

y = -3(x² - 8x) - 50

complete the square

 coefficient of the x term: -8

 divide it in half: -4

 square it: (-4)² = 4²

 use 4² to complete the square and keep the equation balanced:

y = -3(x² - 8x + 4²) + 3(4²) - 50

y = -3(x-4)² - 2

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I need help writing an equation with x,y for the table.
Karolina [17]

Answer:

Number 5 is ' 2(x) + 1 = y '

I dont know how to solve number 6.

Step-by-step explanation:

you take your x variables and compare them to each other and compare them to the y variables. each x variable goes into the y variable 2 times. thats where the 2(x) comes from. then once yiu do that for all your x variables, you must look to see what they have in common. in this case all of them are one digit less than the y value. so you add that to your equation and it become ' 2(x) + 1 = y '

3 0
2 years ago
Find the exact values of the remaining five trigonometric functions of o satisfying the given conditions.
Lyrx [107]

First, tan(<em>θ</em>) = sin(<em>θ</em>) / cos(<em>θ</em>), so if cos(<em>θ</em>) = 3/5 > 0 and tan(<em>θ</em>) < 0, then it follows that sin(<em>θ</em>) < 0.

Recall the Pythagorean identity:

sin²(<em>θ</em>) + cos²(<em>θ</em>) = 1

Then

sin(<em>θ</em>) = -√(1 - cos²(<em>θ</em>)) = -4/5

and so

tan(<em>θ</em>) = (-4/5) / (3/5) = -4/3

The remaining trig ratios are just reciprocals of the ones found already:

sec(<em>θ</em>) = 1/cos(<em>θ</em>) = 5/3

csc(<em>θ</em>) = 1/sin(<em>θ</em>) = -5/4

cot(<em>θ</em>) = 1/tan(<em>θ</em>) = -3/4

4 0
3 years ago
What is a square root?
Vlad [161]
Number that produces a specified quantity when multiplied by itself
Example : “ 7 is a square root of 49 “ BECAUSE 7x7=49
6 0
3 years ago
Read 2 more answers
After solving the system x+2y=10 and x-2y=2. What is the sum of x+y equal to?
Masja [62]

Answer:

The sum of x and y is 8.

Step-by-step explanation:

x+2y=10

x-2y=2

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

2x = 12, so x = 6.  Substituting 6 for x in the 2nd equation, we get:

6 - 2y = 2, or

4 = 2y, or y = 2.  The solution is therefore (6, 2).

The sum of x and y is 6 + 2 = 8 (answer)

5 0
2 years ago
Read 2 more answers
Which measure is of an angle that is conterminal with a 95 degree angle
timofeeve [1]

Answer: Choice B

95 - 1080n for any integer n

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

Explanation:

Notice how 1080 is a multiple of 360 since 360*3 = 1080. The other values 1450, 780 and 340 are not multiples of 360. For example 1450/360 = 4.02777 approximately. We need a whole number result to show it is a multiple.

Therefore, choice B shows subtracting off a multiple of 360 from the original angle 95. In my opinion, it would be better to write 95+360n or 95-360n to make it more clear we are adding or subtracting multiples of 360.

Choice B will find coterminal angles, but there will be missing gaps. One missing coterminal angle is 95-360 = -265 degrees. So again, 95-360n is a more complete picture. I can see what your teacher is going for though.

8 0
3 years ago
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