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S_A_V [24]
3 years ago
11

Which is the graph of the cube root function f(x) = RootIndex 3 StartRoot x EndRoot?

Mathematics
2 answers:
lara [203]3 years ago
7 0

Answer:

<h3>On a coordinate plane, a cube root function goes through (negative 8, negative 2), has an inflection point at (0, 0), and goes thorugh (8, 2).</h3>

Step-by-step explanation:

f(x)=\sqrt[3]{x}\\\\f(-8)=\sqrt[3]{-8}=-2\to(-8,\ -2)\\\\f(0)=\sqrt[3]{0}=0\to(0,\ 0)\\\\f(8)=\sqrt[3]{8}=2\to(8,\ 2)\\\\\\\sqrt[3]{a}=b\iff b^3=a\\\\\text{Therefore:}\\\\\sqrt[3]{-8}=-2\ \text{because}\ (-2)^3=-8\\\sqrt[3]0=0\ \text{because}\ 0^3=0\\\sqrt[3]{8}=2\ \text{because}\ 2^3=8

vekshin13 years ago
3 0

Answer:

The answer is c

Step-by-step explanation:

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Gxyhtdgujfzrgjinfdtg​
Archy [21]

Answer:

f=-5/3 or -1.6repeating or -1 2/3

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
a construction company charges $15 per hour for debris removal , plus a one -time fee for the use of the trash dumpster.the tota
ser-zykov [4K]

Let h be the numbers of hours, f be the one-time fee and c the cost charged. The equation is

c=15h+f

Since you pay $15 per four, plus the fee. We can solve this equation for the fee:

f=c-15h

If we plug c=195 and h=9, we have

f=195-15\cdot 9=195-135=60

6 0
3 years ago
There is $500 in Holly's bank account. She takes out $50 from her account each month but doesn't put money back in. What is the
galina1969 [7]

Answer:

The rate of change or slope m  = -50

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

  • m is the rate of change or slope
  • b is the y-intercept

Given that there is $500 in Holly's bank account.

Thus, the y-intercept b = 500

It is stated that she takes out $50 from her account each month but doesn't put money back in.

It means the rate of change or slope is decreasing.

Thus, the rate of change or slope m  = -50

<u>EXTRA BONUS!</u>

We can also determine the line equation by substituting m = -50 and b = 500 in the slope-intercept form

y = mx+b

y = -50x + 500

Here:

The slope m = -50

The y-intercept = 500

3 0
3 years ago
The graph below is a portion of a complete graph. Which graph below is the complete graph assuming it is an even function?
Ierofanga [76]

Answer:

Option b

Step-by-step explanation:

A function is even if and only if f(-x) = f(x).

This means that there is the same value of y for x_0 and for -x_0

Where x_0 is any point belonging to the function .

Therefore you must select a graph whose ordered pairs are of the form (x_0, y_0) and (-x_0, y_0)

Therefore the correct answer is option b. Assume that each box in the graph equals 1 unit. Then, for x = 2 y = -3 and for x = -2 y = -3. Then it is shown that the function is even.

8 0
3 years ago
Which statements are true?<br>(look at picture)​
Makovka662 [10]

Answer:

D is true, E is true, F is true

Step-by-step explanation:

Hello,

n is an odd number it means that n = 2a+1 where a is integer

A

n^2-1=(2a+1)^2-1=4a^2+4a+1-1=4a(a+1)

this is <u>not</u> an odd number

B

n(n-1)=(2a+1)2a

this is <u>not</u> an odd number

C

(n-1)^2=(2a+1-1)^2=4a^2

this is <u>not</u> an odd number

D

n^2+2=(2a+1)^2+2=4a^2+4a+1+2=4a^2+4a+3= 2(2a^2+2a+1)+1

so this is an odd number

E

n(n-2)=(2a+1)(2a-1)=4a^2-1=4a^2-2+1=2(2a^2-1)+1

so this is an odd number

F

(n-2)^2=(2a+1-2)^2=(2a-1)^2=4a^2-4a+1 = 2(2a^2-2a)+1

this is an odd number

hope this helps

7 0
3 years ago
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