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Gwar [14]
3 years ago
12

True or false: f(x) is a function

Mathematics
2 answers:
Anna71 [15]3 years ago
8 0

Answer:

False

Step-by-step explanation:

If f(x) is a function , then for each value of x  there should be  a single y values

For input 0 there is a output 0

for input 10, the output is 2

for input 15, output is 3

For input 5, we have two output 1 and 3

for single input 5, the function cannot have two outputs 1  and 3

So this f(x) is not a function


stiv31 [10]3 years ago
5 0
False, since x values cannot have more than one y value.
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Solve the equation, and check the solutions √(x+9)/4=3.
nadya68 [22]

Answer:

Solution: x = 135

Step-by-step explanation:

Hi there!

First, let´s write the equation:

√(x + 9) /4 = 3

Multiply by 4 both sides of the equation

√(x + 9) = 12

square both sides of the equation

x + 9 = 144

subtract 9 to both sides of the equation

x = 135  

Let´s check the solution:

√(x + 9) /4 = 3

x = 135

√(135 + 9) /4 = 3

√(144) /4 = 3

12/4 = 3

3 = 3

Then, x = 135 is the solution to the equation.

Have a nice day!

8 0
3 years ago
A sample of radium has a weight of 1.5 mg and a half-life of approximately 6 years.
pogonyaev

Answer:

0.75 mg

Step-by-step explanation:

From the question given above the following data were obtained:

Original amount (N₀) = 1.5 mg

Half-life (t₁/₂) = 6 years

Time (t) = 6 years

Amount remaining (N) =.?

Next, we shall determine the number of half-lives that has elapse. This can be obtained as follow:

Half-life (t₁/₂) = 6 years

Time (t) = 6 years

Number of half-lives (n) =?

n = t / t₁/₂

n = 6/6

n = 1

Finally, we shall determine the amount of the sample remaining after 6 years (i.e 1 half-life) as follow:

Original amount (N₀) = 1.5 mg

Half-life (t₁/₂) = 6 years

Number of half-lives (n) = 1

Amount remaining (N) =.?

N = 1/2ⁿ × N₀

N = 1/2¹ × 1.5

N = 1/2 × 1.5

N = 0.5 × 1.5

N = 0.75 mg

Thus, 0.75 mg of the sample is remaining.

5 0
3 years ago
Why is a regression line referred to as the line of best fit?
aalyn [17]
<h2>Answer with explanation:</h2>

When there is a linear relationship is observed between the variables, we use  linear regression predict the relationship between them.

Also, we predict the values for dependent variable by modelling a linear model that best fits the data by drawing a line Y=a+bX, where X is the explanatory variable and Y is the dependent variable.

In other words: The line of best fit is a line through a scatter plot of data points that best describes the relationship between them.

That's why the  regression line referred to as the line of best fit.

4 0
3 years ago
Can you please help me find the area of the parallelogram!! can you show your work plz
Tom [10]
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8 0
3 years ago
A plumber charges an initial fee of $60 and $15 per hour. Write an equation that represents how much the plumber charges, y, if
34kurt

Answer:

Y=15x+60

Step-by-step explanation:

6 0
3 years ago
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