7. y-2 = (x+3)
4
2
X
- TO
12
4

y = -24 + -2x + 2x2

Step-by-step explanation:

Simplifying:

y = 2(x + 3)(x + -4)

reorder the terms:

y = 2(3 + x)(x + -4)

multiply (3 + x) * (-4 + x)

y = 2(3(-4 + x) + x(-4 + x))

y = 2((-4 * 3 + x * 3) + x(-4 + x))

y = 2((-12 + 3x) + x(-4 + x))

y = 2(-12 + 3x + (-4 * x + x * x))

y = 2(-12 + 3x + (-4x + x2))

Combine like terms  3x + -4x = -1x

y = 2(-12 + -1x + x2)

y = (-12 * 2 + -1x * 2 + x2 * 2)

y = (-24 + -2x + 2x2)

Solving:

y = -24 + -2x + 2x2

solving for variable 'y'

Move all terms containing y to the left, all other terms to the right.

Simplifying:

y = -24 + -2x + 2x2

$18 was the price of the t-shirt

step-by-step explanation:

percentage - 25%

probability - 0.25

we know,

total amount of students in class = 20

total boys = 10

total girls = 10

no of girls who wear glasses = 10/2 = 5

probability of choosing a girl with glasses is =

number of girls wearing glasses/total number of students in the class = 5/20

thus, percentage of selecting a girl wearing glasses will be

= 5/20 × 100

= 5 × 5

25%

therefore,

probability will be 0.25

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