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WITCHER [35]
3 years ago
13

Solve the following equation: -15c+7c+1=3-8c

Mathematics
2 answers:
Vesnalui [34]3 years ago
8 0
Add -15c and 7c since they have the same variable. After that you get a negative answer so you add the answer to both sides. That will cancel both numbers so it will be 1=3, the answer will be false.
DerKrebs [107]3 years ago
7 0
Add like terms
-15c+7c=7c-15c=-8c
we can't add the c terms and the numbers so we leave it so
-8c+1=3-8c
add 8c to both sides
8c-8c+1=3+8c-8c
0+1=3+0
1=3
false
there is no solution
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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
Whic
andreyandreev [35.5K]

Figure A which has two rays connected at a vertex is an angle in this scenario.

<h3>What is an Angle?</h3>

This is formed when two rays share a common endpoint with there being different types of angles.

The common endpoint shared forms a vertex which is why Figure A was chosen as the most appropriate choice.

Read more about Angle here brainly.com/question/25770607

#SPJ1

5 0
1 year ago
What is the solution to the equation <br><br> 7(3-x)=-7(x+3)-4
marissa [1.9K]

Answer:

No solution

Step-by-step explanation:

21−7x=−7x−21−4

21−7x=−7x−25

21=−25

No solution

4 0
3 years ago
Leon earns $14 an hour how much does he earn in 4 weeks If he works 12 hours each week
Rudiy27

Answer:

14$ times 12 hours =

168$

168$ times 4 weeks =  672$

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Please help, I have no idea what you are spossed to do.
Likurg_2 [28]

Me neither. I used to know, good luck!

8 0
3 years ago
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