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Lady bird [3.3K]
3 years ago
15

Please help with these questions!!! Having trouble solving them

Mathematics
2 answers:
Lemur [1.5K]3 years ago
8 0
1. distribute
2(w-3x)
2w-6x

2. 2w-6x/1=4y/z
4y=(2w-6x)z

I know the way that I do the step above isn’t how everyone does it, but it is what works for me. I cross multiplied.

z=4y/2w-6x

I hope this helps!
elena55 [62]3 years ago
6 0

Answer: 2y/w-3x

That should be correct

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A line passes through the points (7, -5) and (3, 1). Determine the slope of the line.
True [87]
Answer: -6/4 or 3.66666666666667
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2 years ago
7. Find the sum or difference.<br> -2(d +1) + (6d +4)
Arturiano [62]

Answer:

Step-by-step explanation:

Sum

-2d + 1 + 6d + 4

Solving like terms

4d + 5

Difference

-2d + 1 - 6d - 4

-8d - 3

4 0
3 years ago
Consider functions of the form f(x)=a^x for various values of a. In particular, choose a sequence of values of a that converges
sleet_krkn [62]

Answer:

A. As "a"⇒e, the function f(x)=aˣ tends to be its derivative.

Step-by-step explanation:

A. To show the stretched relation between the fact that "a"⇒e and the derivatives of the function, let´s differentiate f(x) without a value for "a" (leaving it as a constant):

f(x)=a^{x}\\ f'(x)=a^xln(a)

The process will help us to understand what is happening, at first we rewrite the function:

f(x)=a^x\\ f(x)=e^{ln(a^x)}\\ f(x)=e^{xln(a)}\\

And then, we use the chain rule to differentiate:

f'(x)=e^{xln(a)}ln(a)\\ f'(x)=a^xln(a)

Notice the only difference between f(x) and its derivative is the new factor ln(a). But we know  that ln(e)=1, this tell us that as "a"⇒e, ln(a)⇒1 (because ln(x) is a continuous function in (0,∞) ) and as a consequence f'(x)⇒f(x).

In the graph that is attached it´s shown that the functions follows this inequality (the segmented lines are the derivatives):

if a<e<b, then aˣln(a) < aˣ < eˣ < bˣ < bˣln(b)  (and below we explain why this happen)

Considering that ln(a) is a growing function and ln(e)=1, we have:

if a<e<b, then ln(a)< 1 <ln(b)

if a<e, then aˣln(a)<aˣ

if e<b, then bˣ<bˣln(b)

And because eˣ is defined to be the same as its derivative, the cases above results in the following

if a<e<b, then aˣ < eˣ < bˣ (because this function is also a growing function as "a" and "b" gets closer to e)

if a<e, then aˣln(a)<aˣ<eˣ ( f'(x)<f(x) )

if e<b, then eˣ<bˣ<bˣln(b) ( f(x)<f'(x) )

but as "a"⇒e, the difference between f(x) and f'(x) begin to decrease until it gets zero (when a=e)

3 0
3 years ago
Rewrite 3√5^2 with a rational exponent.
Law Incorporation [45]

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C. 5 2/3

Step-by-step explanation:

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Line L is parallel to line M if the measure of angle six is 75 what is the measure of angle one
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The measure is to L is 75
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