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alina1380 [7]
3 years ago
15

Y=x2 +6x-2

Mathematics
1 answer:
alisha [4.7K]3 years ago
3 0

Answer:

see explanation

Step-by-step explanation:

The equation of a quadratic in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Given

y = x² + 6x - 2

To complete the square

add/ subtract ( half the coefficient of the x- term )² to x² + 6x

y = x² + 2(3)x + 9 - 9 - 2

  = (x + 3)² - 11 ← in vertex form

with (h, k) = (- 3, - 11 )

Turning point = (- 3, - 11 )

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During the first year, ABC's stock starts at $100 and increases 100%. During the second year, its stock prices goes down 25% fro
frosja888 [35]

Answer:

$150

Step-by-step explanation:

$100 + 100% = $200 in the first year

$200 - 25% = $150 in the second year

4 0
3 years ago
The sum of 1/2 and 2/3 is________ 1.<br><br> greater than<br> less than<br> equal to
REY [17]
1/2 = 3/6
1/3 = 2/6

3/6 + 2/6 = 5/6

5/6 < 1

1/2 and 2/3 are < 1
8 0
3 years ago
Which of the following represents the area of a rectangle whose length is 5x − 3 and whose width is x + 7?
Nookie1986 [14]

Answer : option C, 5x2 + 32x − 21

In the rectangle, the length = 5x - 3 and width = x + 7

We know the formula for area of rectangle = length * width

Area of rectangle = (5x-3)(x+7)

WE multiply it using FOIL method

F - First terms, 5x * x = 5x^2

O- Outer terms, 5x * 7 = 35x

I - Inner terms, -3 * x= -3x

L - Last terms, -3 * 7 = -21

Now we add all the terms

5x^2 +35x -3x -21

combine like terms

5x^2 +32x -21

So area of a rectangle = 5x^2 +32x -21

4 0
3 years ago
Answer the following 3 question(s) using the information from the scenario below.
finlep [7]

Answer:

Answer 1: a. Moonlight: C=75n+1000

Riverside: C=50n+1500

Answer 2: c. The solution coordinates are c. (20, 2500)

Answer 3: c. When there are 20 guests attending the price is $2500.

Step-by-step explanation:

Moonlight Hall:

Fixed cost = $1000

Cost per guest = $75

Cost of <em>'n' </em>guests = 75 \times n

Total cost of moonlight hall = Fixed cost + Cost of 'n' guests

\Rightarrow 1000 + 75 \times n

Riverside Hall:

Fixed cost = $1500

Cost per guest = $50

Cost of <em>'n' </em>guests = 50 \times n

Total cost of moonlight hall = Fixed cost + Cost of 'n' guests

\Rightarrow 1500 + 50 \times n

Hence, Answer 1:

a. Moonlight: C=75n+1000

Riverside: C=50n+1500

Answer 2: Coordinates of solution:

Option c. (20,2500) satisfies both the equation.

When there are 20 number of guests, the cost of both moonlight and riverside hall comes out to be 2500.

Moonlight Hall cost

75 \times 20 + 1000\\\Rightarrow \$2500

Riverside Hall cost

50 \times 20 + 1500\\\Rightarrow \$2500

Answer 3: c. When there are 20 guests attending the price is $2500.

The solution is done in Answer 2.

So,

Answer 1: a. Moonlight: C=75n+1000

Riverside: C=50n+1500

Answer 2: c. The solution coordinates are c. (20, 2500)

Answer 3: c. When there are 20 guests attending the price is $2500.

6 0
3 years ago
Simplify
vaieri [72.5K]
1.5/3=1.66667
2.6/3=2
3.2/9=2/9 (can not be simplified)
4.18/1=18
5.9/27=2/9
6.9/12=3/4
7.28/7=4
8.13/10=13/10(can not be simplified)
9.16/27=16/27(can not be simplified)
10.3/18=1/6
11.4/32=18
7 0
3 years ago
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