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3 years ago

Use the given graph. Determine the period of the function.

Mathematics

2 answers:

Anton [14]3 years ago

6 0

Answer:

$Period=3$

Step-by-step explanation:

we know that

The<u> period</u> of a periodic function is the interval of x-values on which the cycle of the graph that's repeated in both directions lies.

see the attached figure to better understand the problem

To calculate the period subtract $1.5$ from $4.5$

$Period=4.5-1.5=3$

vichka [17]3 years ago

4 0

The "period" of a repeating function is the change in x between consecutive identical values...in this case 3 units.

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3 years ago

Determine if (-2,6) and (4,12) are solutions to the system of equations:

kykrilka [37]

Answer:

Both $(-2,6)$ and $(4,12)$ are solutions to the system.

Step-by-step explanation:

In order to determine whether the two given points represent solutions to our system of equations, we must "plug" thos points into both equations and check that the equality remains valid.

Step 1: Plug $(-2,6)$ into $y=x+8$

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The solution verifies the equation.

Step 2: Plug $(-2,6)$ into $2y=x^2 + 8$

$2(6) = (-2)^2+8=4+8=12$

The solution verifies both equations. Therefore, $(-2,6)$ is a solution to this system.

Now we must check if the second point is also valid.

Step 3: Plug $(4,12)$ into $y=x+8$

$(12) = (4)+8 = 12$

Step 4: Plug $(4,12)$ into $2y=x^2 + 8$

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The solution verifies both equations. Therefore, $(4,12)$ is another solution to this system.

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3 years ago

If x is a binomial random variable with n = 20, and p = 0.30, then p(x = 10) = 0.50.

meriva

In the binomial expansion of (0.30+0.70)²⁰ the coefficient is ²⁰C₁₀=184756 for x=10 and we have 0.30¹⁰×0.70¹⁰ for the pq values where q=1-p. This comes to about 0.03. So the statement p(x=10)=0.50 is false, answer b.

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3 years ago