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MatroZZZ [7]
3 years ago
15

Solve for x.

Mathematics
1 answer:
omeli [17]3 years ago
7 0

Answer:

<h3>X∈∅</h3>

Step-by-step explanation:

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The regular price of an item at a store is p dollars. The item is on sale for 20% off the regular price. Some of the expressions
ruslelena [56]

Answer:

Expression B: 0.8p

Expression D: p - 0.2p

Step-by-step explanation:

The regular price of an item at a store is p dollars. The item is on sale for 20% off the regular price. Some of the expressions shown below represent the sale price, in dollars, of the item.

Expression A: 0.2p

Expression B: 0.8p

Expression C:1 - 0.2p

Expression D: p - 0.2p

Expression E: p - 0.8p

Which two expressions each represent the sale price of the item?

Regular price of the item = $p

Sale price = 20% off regular price

Sale price = $p - 20% of p

= p - 20/100 * p

= p - 0.2 * p

= p - 0.2p

= p(1 - 0.2)

= p(0.8)

= 0.8p

The sale price is represented by the following expressions

Expression B: 0.8p

Expression D: p - 0.2p

3 0
3 years ago
Find the values of m and b that make the following function differentiable.
dimaraw [331]
Now, bearing in mind that, for a graph, to be "differentiable", means a "smooth transition", not an abrupt edge or a "cusp", the first subfunction of the piece-wise is just a quadratic, the second subfunction is a linear, well, so the linear needs to hit the quadratic "smoothly", not make an abrupt edge, for that, the linear must continue the quadratic from 2 onwards, since 2 is the range edge.

now, what is the piece-wise when x = 2? well, f(2) = x² or (2)² or 4

that means, the linear needs to hit it at that point, to make it so, let's make it the slope of the linear, the same as the quadratic's.

what's the quadratic's slope? well, simple enough

\bf \left. \cfrac{dy}{dx}=2x \right|_{x=2}\implies 4\impliedby \textit{this means }&#10;\begin{array}{llll}&#10;mx+b\\&#10;\uparrow \\&#10;4&#10;\end{array}

so we have y = 4x + b

now, recall, for the quadratic, when x =2, y = 4, so for the linear, when x = 2, y = 4 as well, this means

\bf 4 = 4(2) + b\implies 4=8+b\implies 4-8=b\implies \boxed{-4=b}&#10;\\\\\\&#10;mx+b\implies 4x-4\\\\&#10;-------------------------------\\\\&#10;f(x)=&#10;\begin{cases}&#10;x^2&x\le 2\\&#10;4x-4&x\ \textgreater \ 2&#10;\end{cases}

check the picture below.

4 0
3 years ago
A^-4 is the question and it wants me to write in exponential notation with positive exponents
zysi [14]
Pretty sure the answer would be 1/A^4
3 0
3 years ago
Find the volume of a cube with side lengths of fifteen feet
lidiya [134]

Answer:

3375 feet cube

Step-by-step explanation:

Given :

side of cube = 15 feet

Formula used :

Volume of cube , v = a^3

Solution :

Volume of cube

= a^3

= 15^3

= 15*15*15

= 3375 feet cube

8 0
3 years ago
Hurry please!!Gregory collected two random samples of 100 Woman regarding woman's color bag
nikitadnepr [17]
More women prefer black bags than red or blue bags. ( i hoped this help, i took this test or had a similar question and that is what i put)
6 0
2 years ago
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