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3 years ago

14

If y=3x+1 were changed to y=x+1, how would the graph of the new function compare with the original?

2 answers:

Tresset [83]3 years ago

6 0

Hello!

A slope intercept form of a line is y = mx + b

m is the slope
b is the y-intercept

since everything is the same but the slopes we know that the answer is either steeper or not as steep

The slope decreases which means the line is not as steep

The answer is C) It would be less steep

Hope this helps!

Yuri [45]3 years ago

4 0

Slope would be 3 times less steep.

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The equivalent expression for (x + 4)^5 is $x^5+ 20x^4+ 160x^3 + 640x^2 + 1280x + 1024$

The expression is given as:

$(x + 4)^5$

To expand the expression, we make use of Pascal triangle, where:

5:= 1 5 10 10 5 1

So, we have:

$(x + 4)^5 = 1 * x^5 * 4^0 + 5 * x^4 * 4^1 + 10 * x^3 * 4^2 + 10 * x^2 * 4^3 + 5 * x * 4^4 + 1 * x^0 * 4^5$

Evaluate the exponents

$(x + 4)^5 = 1 * x^5 * 1 + 5 * x^4 * 4 + 10 * x^3 * 16 + 10 * x^2 * 64 + 5 * x * 256 + 1 *1 * 1024$

Evaluate the products

$(x + 4)^5 = x^5+ 20x^4+ 160x^3 + 640x^2 + 1280x + 1024$

Hence, the equivalent expression for (x + 4)^5 is $x^5+ 20x^4+ 160x^3 + 640x^2 + 1280x + 1024$

Read more about binomial expressions at:

brainly.com/question/13602562

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