3w8•2w4 in simplest form

If 55 percent of a group of people have brown hair and 80 percent of the same group do not have red hair, what fraction of those

Irina-Kira [14]

The fraction would be 4/9

8 0

3 years ago

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The variables A, B, and C represent polynomials where A = x2, B = 3x + 2, and C = x – 3. What is AB – C2 in simplest form?

Bingel [31]

AB - C2 = (x2)(3x + 2) - (x-3)2
AB - C2 = 3x3 + 2x2 - (x2 -6x +9)
AB - C2 = = 3x3 + 2x2 - x2 + 6x - 9
AB - C2 = = 3x3 + x2 + 6x - 9

6 0

3 years ago

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Rasheed bought two kinds of candy bars, chocolate and toffee, that came in packages of 2 bars each. He handed out 2/3 of the cho

Contact [7]

Answer:

9 packages of chocolate bars

Step-by-step explanation:

Let he bought c packages of chocolate bars and t packages of toffee bars,

Since, he bought 1 fewer package of chocolate bars than toffee bars.

⇒ c = t - 1 -----(1)

Also, he handed out out $\frac{2}{3}$ of the chocolate bars and $\frac{3}{5}$ of the toffee bars,

If he handed out the same number of each kind of candy bar.

$\implies \frac{2}{3}\times c=\frac{3}{5}\times t$

$10c = 9t$ ( By cross multiplication )

$\implies t=\frac{10}{9}c$ ( Division property of equality )

From equation (1),

$c=\frac{10}{9}c-1$

$1=\frac{10}{9}c-c$

$1=\frac{10c-9c}{9}$

$1=\frac{c}{9}$

$\implies c = 9$

Hence, he bought 9 packages of chocolate bars.

4 0

3 years ago

What are the transformations to this quadratic function y= (x+4) power of 2 - 8

I am Lyosha [343]

Answer:

Horizontal shift of 4 units to the left.

Vertical translation of 8 units downward.

Step-by-step explanation:

Given the quadratic function, y = (x + 4)² - 8, which represents the horizontal and vertical translations of the parent graph, y = x²:

The vertex form of the quadratic function is y = a(x - h)² + k

Where:

The vertex is (h , k), which is either the minimum (upward facing graph) or maximum (downward-facing graph).

The axis of symmetry occurs at x = h.

a = determines whether the graph opens up or down, and makes the graph wider or narrower.

h = determines how far left or right the parent function is translated.

k = determines how far up or down the parent function is translated.

Going back to your quadratic function,

y = (x + 4)² - 8

The vertex occrs at (-4, -8)
a is assumed to have a value of 1.
Given the value of h = -4, then it means that the graph shifted horizontally by 4 units to the left.
Since k = -8, then it implies that the graph translated vertically at 8 units downward.