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3 years ago

How does f(x) = 3 ^x change over the interval x = 4 to x= 5

Mathematics

1 answer:

zloy xaker [14]3 years ago

6 0

Answer:

f(x) = 3^x increases steadily on the interval [4,5].

Step-by-step explanation:

This exponential function f(x) = 3^x has a positive base (3) which is larger than 1. Thus, this function continues to increase as x increases, including the case where x increases from 4 to 5.

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The teacher gave this pattern to the class: the first term is 5 and the rule is add 4, subtract 1. Each student says one number.

AnnyKZ [126]

(This is the order in terms with the rule) 5 ... 8 ... 11 ... 14 ... 17 ... 20 ... 23 ... 26 ... 29 ... 32 ... So victor should say the number 32

8 0

2 years ago

Evaluate BC for A = 5, B = -4, and C = 2.<br> 6.<br> -6<br> -8

tamaranim1 [39]

Answer:

-8

Step-by-step explanation:

we have from the statement:

B = -4

C = 2.

we need to multiply B and C

B*C=(-4)*(2)

we have

B*C=-8

The answer is -8

7 0

3 years ago

Type the correct answer for each.

xxTIMURxx [149]

If point $\left(x,\ \frac{\sqrt{7}}{3}\right)$ is on the unit ircle, then:

$x^2+\left( \frac{ \sqrt{7} }{3} \right)^2=1 \\ \\ \Rightarrow x^2+ \frac{7}{9} =1 \\ \\ \Rightarrow x^2=1- \frac{7}{9} = \frac{2}{9} \\ \\ \Rightarrow x= \sqrt{ \frac{2}{9} } = \frac{ \sqrt{2} }{3}$

Since, the point is in the second quadrant, x is negative.

Thus, $(x,\ y)=\left(x,\ \frac{\sqrt{7}}{3}\right)=\left(-\frac{ \sqrt{2} }{3},\ \frac{\sqrt{7}}{3}\right)$

Part A:

$3 \sqrt{7} =6\left( \frac{ \sqrt{7} }{2} \right) \\ \\ =6\left( \frac{ \sqrt{7} }{3} \cdot \frac{3}{ \sqrt{2} } \right) \\ \\ =6\left( \frac{ \frac{ \sqrt{7} }{3} }{ \frac{ \sqrt{2} }{3} } \right)=-6\left( \frac{ \frac{ \sqrt{7} }{3} }{ -\frac{ \sqrt{2} }{3} } \right) \\ \\ =-6\left( \frac{y}{x} \right)=-6\tan\theta$

Therefore, $-6\tan\theta=3\sqrt{7}$ .

Part B:

$- \frac{ \sqrt{7} }{2} =- \frac{ \sqrt{7} }{3} \cdot \frac{3}{ \sqrt{2} } \\ \\ =- \frac{ \frac{ \sqrt{7} }{3} }{ \frac{ \sqrt{2} }{3} } = \frac{ \frac{ \sqrt{7} }{3} }{ -\frac{ \sqrt{2} }{3} } = \frac{y}{x} \\ \\ =\tan\theta$

Therefore, $\tan\theta=- \frac{ \sqrt{7} }{2}$

8 0

2 years ago

2/5 times 2/3 = what

Luda [366]

Answer:

16/15

Step-by-step explanation:

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2 years ago

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kvasek [131]

Answer:

Step-by-step explanation:

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1 year ago