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Masja [62]
3 years ago
13

Please give step by step explanation (2x + 3)(3x - 5)

Mathematics
2 answers:
Finger [1]3 years ago
7 0

Answer: 6^{2} - 19x + 15

Step-by-step explanation:

Expand

(2x−3)(3x−5)

using the FOIL Method.

2x(3x)+2x x -5 -3 (3x) -3 x -5

Simplify and combine like terms.

6^{2} - 19x + 15

Alika [10]3 years ago
5 0
Distribute:
2x(3x - 5) + 3(3x - 5)

6x^2 - 10x + 3(3x - 5)

6x^2 - 10x + 9x - 15


Combine Like Terms
6x^2 - x - 15

Solution
6x^2 - x - 15
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Efia draws this scale drawing a two famous landmarks each inch in the drawing represents 400 ft on the actual landmark how much
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Answer:

x4800 inch

Step-by-step explanation:

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3 years ago
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Solve by applying the counting principle. James is choosing a Four-digit Passcode for his smartphone. How many different Passcod
EleoNora [17]

Answer:

10k.

Step-by-step explanation:

1) if for the 1st position can be used 0-9 digits (10 digits), for the 2d - 0-9 digits, for the 3d - 0-9 digits and for the 4th - 0-9 digits, then

2) the required number of pwd is: 10*10*10*10=10⁴=10000.

4 0
2 years ago
*Asymptotes*<br> g(x) =2x+1/x-3 <br><br> Give the domain and x and y intercepts
Nataly [62]

Answer: Assuming the function is g(x)=\frac{2x+1}{x-3}:

The x-intercept is (\frac{-1}{2},0).

The y-intercept is (0,\frac{-1}{3}).

The horizontal asymptote is y=2.

The vertical asymptote is x=3.

Step-by-step explanation:

I'm going to assume the function is: g(x)=\frac{2x+1}{x-3} and not g(x)=2x+\frac{1}{x}-3.

So we are looking at g(x)=\frac{2x+1}{x-3}.

The x-intercept is when y is 0 (when g(x) is 0).

Replace g(x) with 0.

0=\frac{2x+1}{x-3}

A fraction is only 0 when it's numerator is 0.  You are really just solving:

0=2x+1

Subtract 1 on both sides:

-1=2x

Divide both sides by 2:

\frac{-1}{2}=x

The x-intercept is (\frac{-1}{2},0).

The y-intercept is when x is 0.

Replace x with 0.

g(0)=\frac{2(0)+1}{0-3}

y=\frac{2(0)+1}{0-3}  

y=\frac{0+1}{-3}

y=\frac{1}{-3}

y=-\frac{1}{3}.

The y-intercept is (0,\frac{-1}{3}).

The vertical asymptote is when the denominator is 0 without making the top 0 also.

So the deliminator is 0 when x-3=0.

Solve x-3=0.

Add 3 on both sides:

x=3

Plugging 3 into the top gives 2(3)+1=6+1=7.

So we have a vertical asymptote at x=3.

Now let's look at the horizontal asymptote.

I could tell you if the degrees match that the horizontal asymptote is just the leading coefficient of the top over the leading coefficient of the bottom which means are horizontal asymptote is y=\frac{2}{1}.  After simplifying you could just say the horizontal asymptote is y=2.

Or!

I could do some division to make it more clear.  The way I'm going to do this certain division is rewriting the top in terms of (x-3).

y=\frac{2x+1}{x-3}=\frac{2(x-3)+7}{x-3}=\frac{2(x-3)}{x-3}+\frac{7}{x-3}

y=2+\frac{7}{x-3}

So you can think it like this what value will y never be here.

7/(x-3) will never be 0 because 7 will never be 0.

So y will never be 2+0=2.

The horizontal asymptote is y=2.

(Disclaimer: There are some functions that will cross over their horizontal asymptote early on.)

6 0
3 years ago
NEEDED NOW
nirvana33 [79]

15·0.8 + x = 30·0.9 --> x = 15

C. is the correct answer

7 0
3 years ago
What slope is parallel to:<br> m = 4
andreyandreev [35.5K]

Answer:

m = 4

Step-by-step explanation:

Parallel means to have the same slope but different x- and y- intercepts

An example would be y = 4x + 6 and y = 4x - 2

8 0
3 years ago
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