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horsena [70]
3 years ago
12

Help on math queston please explain all steps and include answer

Mathematics
1 answer:
Nuetrik [128]3 years ago
5 0
Similar triangles have their corresponding sides in the same ratio. So we have

x/8 = 9/5

cross multiply
5*x = 8 * 9

5x = 72

now divide both sides by 5:-

x = 72/5 = 14.4   Answer
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I need help please help me
harkovskaia [24]
We substitute in c using 9, it will be as follows:
5 ×[(-6×9)+4] = 5 × (-54+4) = 5 × (-50) = -250
3 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
This question below.
pochemuha
I can’t really see what it says but it it’s total surface area it’s 9044.3 but it it’s lateral surface are it’s 7840
6 0
3 years ago
PLZ HELP
Lelechka [254]

Answer:

5 quartz would make the most sense, hope this helps

Step-by-step explanation:

7 0
2 years ago
What would the graph of the solution to the following inequality look like?
yan [13]

Answer: A. An OPEN circle on the number 5 and an arrow shading to the RIGHT.

6 0
3 years ago
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