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DanielleElmas [232]
3 years ago
14

What is the product of 2x+ 3 and 4x2 - 5x+ 6?

Mathematics
1 answer:
elena-s [515]3 years ago
7 0

Answer:

8x³ - 25x² - 3x + 18

Step-by-step explanation:

(2x + 3)(4x²- 5x + 6)

multiply 2x by each of the three terms in the second expression to get:

8x³ - 10x² + 12x

now multiply 3 by each of the three terms in the second expression to get:

12x² - 15x + 18

Combine 'like terms': -10x² + (-15x²) = -25x²

Combine 'like terms':  12x + (-15x) = -3x

Put all terms in decreasing exponent order:

8x³ - 25x² - 3x + 18

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You are challenged to a lucky draw game. If you draw a face card (K, Q, J) from a standard deck of cards, you earn 10 points. If
Aleksandr [31]

The Expected value of a draw from the given question is; A; 0.77

We are told the face cards are K, Q, J. This means that there are 3 face cards for each of the 4 suits.

Since you earn 10 points for each face card, it means that;

total possible gain = 10 × 3 × 4 = 120

In a deck of cards, there are a total of 52 cards.

This means that;

Number of cards that are not K, Q or J = 52 - (4 × 3) = 40

Since 2 points are lost for drawing any of this 40 cards, then;

Total possible loss = 40 × 2 = 80

Expected gain = 120 - 80

Expected gain = 40

Expected value of a draw = 40/52

Expected value of a draw = 0.77

Read more about expected value at; brainly.com/question/1450915

4 0
2 years ago
6) 8x + 38 =-34-6 - 4x)​
nlexa [21]

Answer:

-6.5 would be your answer

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
If x = 7+3 root 5 by 7 - 3 root 5 , find the value of x^2 + 1 by x^2
Vesnalui [34]

Answer:

6 because why not

Step-by-step explanation:

6 0
3 years ago
Which expression is equivalent to 5(9 + 7)?<br><br> 14 + 12<br> 14 + 7<br> 45 + 7<br> 45 + 35
nika2105 [10]
5(9 + 7) = 5 x 9 + 5 x 7 = 45 + 35
3 0
3 years ago
Which exponential function goes through the points (1,8) and (4,64)?
vova2212 [387]
Plug in (4,64) into each answer choice.

A) 4(2)^x
64 =4(2)^4 
64 = 4(16) 
64 = 64

Answer choice A is correct.

B) f(x) = 2(4)^x
64 = 2(4)^4
64 = 2(256)
64 ≠ 512

Answer choice B is incorrect.

C) f(x) = 4(2)^{-x}
64 = 4(2)^{-4}
64 = 4(-0.0625)
64 ≠ 0.25

Answer choice C is incorrect.

D) f(x) = 2(4)^{-x}
64 = 2(4)^{-4}
64 = 2(0.00390625)
64 ≠ 0.0078125

Answer choice D is incorrect.


Your answer is B<span>) f(x)=2(4)^x</span>
4 0
3 years ago
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