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givi [52]
3 years ago
12

Is the equation y=3x in slope intercept form

Mathematics
1 answer:
makkiz [27]3 years ago
3 0
No y=mx+b your missing the b in the formula which stands for y intercept
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Explain why ABC cannot be mapped onto EFG by a reflection of ABC over the -axis followed by a slide of 8 units to the left.
Kitty [74]

Answer:

It won't be the same shape and length and width I think

Step-by-step explanation:

7 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
The edge of each cube used to build this rectangular prism is 1/3 inch long. Which equation shows the volume of the prism, in cu
KiRa [710]
(1/3) cubed, since the equation for the volume of a cube is an edge, cubed
8 0
3 years ago
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A famous instance of variation is Newton’s Law of Gravity. It states that the magnitude of the Force, F, of gravitational attrac
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\bf \qquad \qquad \textit{combined proportional variation} \\\\ \begin{array}{llll} \textit{\underline{y} varies directly with \underline{x}}\\ \textit{and inversely with \underline{z}} \end{array}\implies y=\cfrac{kx}{z}\impliedby \begin{array}{llll} k=constant\ of\\ \qquad variation \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ F=\cfrac{k(m_1\cdot m_2)}{r^2}\leftarrow \textit{F varies directly with a product and inversely with }r^2

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3 years ago
Peyton has 2 pizzas.each pizza is cut into 10 equal slices.she and her friends eat 14 slices. what part of the pizzas did they e
WINSTONCH [101]
Since Peyton has 2 pizzas and each is cut into 10 equal slices that would mean 2x10 which is 20 and then it says she and her friends eat 14 slices which means take away 14 minus 20 which is 6 so the decimal for only 6 would be 0.6 which is the answer. Hope this helped.
8 0
3 years ago
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