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3 years ago

What is the relationship between the base of an exponential function and its rate of growth?

Mathematics

1 answer:

S_A_V [24]3 years ago

8 0

Answer:

growth rate is the number of times the base repeats

Step-by-step explanation:

We have that the general form of the exponential function is of the type:

f (x) = a ^ x

where "a" is the base and "x" is the exponent.

Therefore, the relation they keep to this exponent would be the growth rate since it is the number of times that the base is repeated, which means that the higher "x" is, the more times "a" is repeated.

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If you are given odds of 4 to 5 in favor of winning a bet, what is the probability of winning the bet?

Semmy [17]

Answer:

Step-by-step explanation:

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4 years ago

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olganol [36]

Answer:

CPCTC

Step-by-step explanation:

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3 years ago

Which expression is equivalent to 19x − 6x + 2 and why?

Mila [183]

2 + 13x, because (19x − 6x) + 2 = 13x + 2 = 2 + 13x

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3 years ago

Read 2 more answers

How would you graph this y-3=4/3(x+2)

VikaD [51]

Answer:

The line passes through $(-\frac{17}{4},0)\ and\ (0,\frac{17}{3})$ .

Graph is attached.

Step-by-step explanation:

Line passing through the point $(x_1,y_1)$ and slope $m$ :

$y-y_1=m(x-x_1)$

$Compare\ y-3=\frac{4}{3}(x+2)\ with\ the\ standard\ form\\\\x_1=-2,\ y_1=3\ and\ m=\frac{4}{3}\\\\This\ is\ equation\ of\ line\ passing\ through\ (-2,3)\ and\ having\ slope(m)=\frac{4}{3}\\\\Slope=\tan \theta\\\\\tan\theta=\frac{4}{3}\\\\\theta=\tan^{-1} \frac{4}{3}\\\\\theta=53.13\textdegree\\\\Hence\ line\ passes\ through\ (-2,3)\ and\ makes\ an\ angle\ 53.13\textdegree\ with\ the\ x-axis$

Sketch:

Y-intercept:

$substitute\ x=0\\\\y-3=\frac{4}{3}\times 2\\\\y=\frac{8}{3}+3\\\\y=\frac{17}{3}\\\\line\ passes\ through\ (0,\frac{17}{3}).$

x-intercept:

$substitute\ y=0\\\\-3=\frac{4}{3}(x+2)\\\\x+2=-\frac{3}{4}\times 3\\\\x=-\frac{9}{4}-2\\\\x=-\frac{17}{4}\\\\Line\ passes\ through\ (-\frac{17}{4},0).$

Sketch the line passes through $(-\frac{17}{4},0)\ and\ (0,\frac{17}{3})$ .

3 0

3 years ago

(6 to the power of 3 times 3 to the power of 3) to the power of 2

frosja888 [35]

Answer:

True

Step-by-step explanation:

(6³ * 3³)² = 18⁶

Multiply inside the parenthesis.

(18³)² = 18⁶

When you put powers to powers, they multiply, eg:

(x³)⁴ = x³°⁴ = x¹²

18⁶ = 18⁶

True.

4 0

3 years ago