A movie ticket costs $12 with a discount of 5%. What is the amount of discount and the sale price?

Mathematics

1 answer:

Alexeev081 [22]3 years ago

5 0

Answer:

0.6

Step-by-step explanation:

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Find the numbers a, b and c if the polynomial x3−18x2+24xb−c is the cube of the binomial x+2a.

mojhsa [17]

Answer:

$a=-3\\ \\b=\dfrac{9}{2}\\ \\c=216$

Step-by-step explanation:

Use formula

$(u+v)^3=u^3+3u^2v+3uv^2+v^3.$

Hence,

$(x+2a)^3=x^3+3x^2\cdot 2a+3x\cdot (2a)^2+(2a)^3=x^3+6ax^2+12a^2x+8a^3.$

This expression is equal to

$x^3-18x^2+24bx-c,$

so we can equate the coefficients at powers of x:

$x^3:\ 1=1\\ \\x^2:\ 6a=-18\Rightarrow a=-3\\ \\x:\ 12a^2=24b\Rightarrow b=\dfrac{9}{2}\\ \\1=x^0:\ 8a^3=-c\Rightarrow c=-8\cdot (-3)^3=216.$

6 0

3 years ago

What is the slope of the line between (−4, 4) and (−1, −2)? a. 1 b. 2 c.−2 d. −1

Vikki [24]

M= $\frac{ Y_{2}- Y_{1} }{X_{2}-X_{1}}$

m= (-2 - 4) / (-1 - -4)
m= -6 / (-1 + 4)
m= -6 / 3
m= -2

the slope is -2 (C.)

7 0

3 years ago

Read 2 more answers

The amount of oil used by a ship traveling at a uniform speed varies jointly with the distance and the square of the speed. The

frosja888 [35]

Answer:

Step-by-step explanation:

Joint variation has the equation

y = kxz

k is the constant of variation and needs to be solved for using the initial conditions, then filled in later to another equation related to the given info to solve for something else. We are given y = amount of oil used, x = distance traveled, z-squared is the speed. Our equation looks like this, to be exact:

$y=kxz^2$