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ioda
3 years ago
12

Can someone explain how they got the correct answer?

Mathematics
2 answers:
sukhopar [10]3 years ago
5 0

Answer:

Step-by-step explanation:

We can see that we need to plug in 2 for x in the first equation

We can also see that when x=2 we need to use the second part of the piecewise (because this one works when x is greater than <em>or equal to</em> 2)

so we have

3*(4*2+1)= 27

for g(x) we need to plug in x=1

we use the first piecewise equation because it's valid when x is less than 3

4(1²+2)=12

take their sum 27+12= 39

klemol [59]3 years ago
4 0

Answer:

39

Step-by-step explanation:

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The Hudson Bay tides vary between 3 feet and 9 feet. The tide is at its lowest point when time (t) is 0 and completes a full cyc
BaLLatris [955]

Answer:

y(t)= 6-3cos(\dfrac{2\pi}{14}t )

Step-by-step explanation:

The function that could model this periodic phenomenon will be of the form

y(t) = y_0+Acos(wt)

The tide varies between 3ft and 9ft, which means its amplitude A is

A =\dfrac{(9-3)ft}{2} \\\\\boxed{A = 3ft}

and its midline y_0 is

y_o=3+3 \\\\\boxed{y_o= 6ft}.

Furthermore, since at t=0 the tide is at its lowest ( 3 feet ), we know that the trigonometric function we must use is -cos(\omega t).

The period of the full cycle is 14 hours, which means

\omega t =2\pi

\omega (t+14)= 4\pi

giving us

\boxed{\omega = \dfrac{2\pi}{14}.}

With all of the values of the variables in place, the function modeling the situation now becomes

\boxed{y(t)= 6-3cos(\dfrac{2\pi}{14}t ).}

8 0
4 years ago
HELLLLLLLLLLLLLLPPPPP!!!!!!!!!!!! ASAP!!!! Two linear equations are represented by using the tables below. A 2-column table with
malfutka [58]

Answer:

 (-1, -5)

Step-by-step explanation:

When you graph the points, you find that the lines intersect at the point (-1, -5). That is the solution to the system of equations.

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2 years ago
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3 years ago
Determine if x-6 is a zero and find the quotiant and the remainder​
sergiy2304 [10]

Answer:

○ A. No, x = -6 is not a zero of the polynomial.

The quotient is x - 29, and the remainder is 234.

Step-by-step explanation:

[x - 3][x - 20] >> Factored Form

Obviously, this is not a zero. Now, to get the remainder, we have to plug in the vertical line of <em>x = -6</em> into its conjugate, meaning an expression with opposite signs, which is <em>x + 6</em>. This is the expression we divide the dividend by, so you will have this:

\frac{{x}^{2} - 23x - 60}{x + 6}

Since the divisor is in the form of <em>x - c</em>, using Synthetic Division, we get this:

x - 29 + \frac{234}{x + 6}

You see? You have <em>x - 29</em> in the quotient, and you have 234 as the numerator remainder.

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Answer:

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Step-by-step explanation:

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