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MissTica
2 years ago
10

Determine the correct answer to the following

Mathematics
2 answers:
Nataliya [291]2 years ago
4 0

Answer:

(0,-2)

Step-by-step explanation:

one way to solve...

3x - y = 2 --> *4

-2x + 4y = -8

multiply the first equation by 4

12x - 4y = 8

-2x + 4y = -8

-----------------

10x = 0

x = 0

y = -2

this method is called elimination

another way to solve...

3x - y = 2 simplify for y to get y = 3x - 2

-2x + 4y = -8 substitute y into this equation to solve for x

-2x + 4(3x - 2) = -8

-2x + 12x - 8 = -8

10x = 0

x = 0

y = -2

substitution

alsoo if there are options, just plug in the numbers to the correct variables

VMariaS [17]2 years ago
4 0

Answer:

3xy=2 2x4y=8

3x2=6x8=48x8

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luda_lava [24]

For f(x) = cos(x) we have:

  • midline = 0
  • amplitude = 1
  • period = 2π
  • graph = bottom graph on the second image.

<h3>What are the midline, amplitude, period, and graph of the function f(x)=cos(x)?</h3>

For a general cosine function, we have:

f(x) = A*cos(kx + p) + M

Where:

  • A is the amplitude.
  • k is the frequency.
  • p is the phase.
  • M is the midline.

For the function:

f(x) = cos(x).

We can see that:

A = 1, M = 0, k = 1, p = 0.

So, the amplitude is equal to 1, and the midline is equal to zero.

Now we also need to get the period. By definition of the trigonometric functions sin(x) and cos(x), we know that the period of the two is equal to 2π.

Finally, we need to identify the graph of cos(x).

Notice that:

f(0) = cos(0) = 1.

So the graph of f(x) = cos(x) is the graph with an y-intercept equal to 1. Which is the bottom graph on the second image.

If you want to learn more about cosine functions:

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8 0
2 years ago
A fitness center runs a contest for customers who enroll in its annual membership plan. The customers are allowed to draw a coup
Alchen [17]
There are 35 coupons in the jar.
The probability to choose <span>coupon for 1 month of extended membership is p(A)= \frac{20}{35} = \frac{4}{7}.</span>
The probability to choose <span>coupon for 1.5 months of extended membership is p(B)= \frac{10}{35} = \frac{2}{7}.
</span>
<span>Answer: With probability \frac{4}{7} a customer will get 30 days extended membership, </span>
with probability \frac{2}{7} a customer will get 450 days extended membership,
<span>with probability \frac{1}{7} a customer will get 60 days extended membership.</span>
The probability to choose coupon for 1 month of extended membership is p(C)= \frac{5}{35} = \frac{1}{7}.
Together P(A)+P(B)+p(C)=1.




5 0
4 years ago
Please solve and show steps
ladessa [460]

Answer:

Step-by-step explanation:

There are 6 solutions or zeros here because, according to the Fundamental Theorem of Algebra, the degree of the polynomial dictates how many zeros there are in the polynomial.  If we had a 3rd degree polynomial, we would expect to find 3 zeros; if we had a 5th degree polynomial, we would have 5 zeros, etc.  The easiest way to factor this is to do it initially by grouping:

(4x^6+20x^4)-(25x^2-125) then

4x^4(x^2+5)-25(x^2+5) then

(x^2+5)(4x^4-25)=0

We will factor each set of parenthesis now to get all the zeros.  For the first set of parenthesis:

x^2+5=0 so

x^2=-5 so

x=\sqrt{-5}

But since we can't have a negative under the square root, we have to offset it by using the imaginary number i.  i-squared = -1, so

x = ±i√5

Those are the first 2 zeros out of 6.  Now for the second set of parenthesis:

4x⁴ - 25 = 0.  That is the difference between perfect squares, and that factors to this:

(2x² + 5)(2x² - 5)

The first set of parenthesis there:

2x² + 5 = 0 so

2x² = -5 so

x² = -5/2 so

x = ±\sqrt{\frac{5}{2} }i

Those are the next 2 zeros.  We found 4 so far, now we will find the last 2 in the second set of parenthesis above:

x^2-5=0 so

x^2=5 so

x = ±\sqrt{\frac{5}{2} }

In summary, the 6 zeros are as follows:

x = \sqrt{5}i, -\sqrt{5}i, \sqrt{\frac{5}{2} }i, -\sqrt{\frac{5}{2} }i, \sqrt{\frac{5}{2} }, -\sqrt{\frac{5}{2} }

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3 years ago
Lao is thinking of buying a fish tank. Tank A has a base area of 530 square centimeters. Which fish tank has the greater volume?
tatuchka [14]

Answer:

The volume of tank B is 33.7 cubic centimeters greater than the volume of tank A.

Step-by-step explanation:

Volume of tank A 530(18.4)= 9,752

Volume of tank B (26.2)(16.6)(22.5) =9,785.7

Volume of tank B - Volume of tank A 9,785.7 - 9,752 = 33.7

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<span>C.If the soccer balls are too expensive fewer will be sold reducing profit. is the answer </span>
6 0
4 years ago
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