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2 years ago

What is the product of (y + 3) and (7y – 1)?

Mathematics

1 answer:

Lorico [155]2 years ago

4 0

Answer: =7y^2+20y−3

Step-by-step explanation:

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A gambler playing blackjack in a casino using four decks noticed that 20% of the cards that had been dealt were jacks, queens, k

Ksenya-84 [330]

Answer:

x = 162 cards need to be dealt with

Step-by-step explanation:

Given:

- Estimation of likelyhood of next card to be queen, a king, or an ace:

( 64 - 0.2*x ) / ( 208 - x )

Find:

For what values of x is this likelihood greater than 70%?

Solution:

- Use the likely-hood estimation relation and set up the inequality as follows:

( 64 - 0.2*x ) / ( 208 - x ) > 0.7

( 64 - 0.2*x ) > 0.7*( 208 - x )

64 - 0.2*x > 145.6 - 0.7*x

0.5*x > 81.6

x > 163.2

- It would require 162 cards to be dealt with for the probability of next card being queen, a king, or an ace is greater than 70%

6 0

3 years ago

A factory wants to redesign a box that will hold twice as many unit cubes add a box that measures 2 by 3 by 4 unit cubes.What ar

iragen [17]

finding the volume of cube is equal to 2 × 3 × 4

v of cubes is 24

now

twice of it is 2 ×24

8 0

3 years ago

We want to find the maximum and minimum values of f(x, y) = 10x2 + 11y on the disk D: x2 + y2 < 1.

dolphi86 [110]

If you're just focusing on the boundary, it's the circle $x^2+y^2=1$ . Parameterize it by taking $x=\cos t$ and $y=\sin t$ , with $0\le t\le2\pi$ . Then $f(x,y)$ reduces to a univariate function $g(t)$ :

$f(x,y)=10x^2+11y\iff g(t)=f(\cos t,\sin t)=10\cos^2t+11\sin t$

Then you can find any extrema on the boundary by checking the critical points of $g$ .

8 0

3 years ago

Select the correct answer. Which point is a solution of x + 2y ≤ 4? A. (2, 4) B. (1, 1) C. (3, 5) D. (-1, 5)

stira [4]

Answer:

Step-by-step explanation:

Of you put the values of c and y from B in the equation, then the result is,

$1 + 2 \times 1 \leqslant 4 \\ 1 + 2 \leqslant 4 \\ 3 \leqslant 4$

here, 3 is less than 4, which is true.

But the result will come out as greater than 4 if you put other points in the equation, which is not true for the given condition.

6 0

3 years ago

<img src="https://tex.z-dn.net/?f=%203%20000%20000%5E%7B2%7D%20%20" id="TexFormula1" title=" 3 000 000^{2} " alt=" 3 000 000^{2

Pachacha [2.7K]

${3000000}^{2} + {4000000}^{2} \\ \\ {10}^{6} ( {3}^{2} + {4}^{2} ) \\ \\ {10}^{6} \times 25 \\ \\ 25000000 \: \: \: \: \: Ans.$

8 0

3 years ago