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2 years ago

What is the equation of the following graph.

Mathematics

2 answers:

KATRIN_1 [288]2 years ago

6 0

I THINK it might be y=cos(x)+2. Don’t quote me on that and you might wanna check with someone else

iris [78.8K]2 years ago

5 0

Answer:

y = cos x + 2

Step-by-step explanation:

1. By looking at the shape of the graph, you can infer that it is either a cos or sin graph.

2. Look at the y value when X = 0. It starts with an inverted bell shape curve, from there we can infer that it is a cosine graph. if it is a sin graph, the shape will be like a toppled S shape curve.

3. This part is a bit trial and error for me:

Let X = 0,

cos 0 = 1

But the graph shows that when X = 0, Y = 3,

So there are 2 possibilities:

3 cos X
cos X + 2

However when X = π,

3 cos π = -3
cos π + 2 = 1

So cos x + 2 is the only option.

Hope it makes sense to you. Sorry if it sounds confusing, English is not my first language.

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Which of these is a simplified form of the equation 8y + 4 = 6 + 2y + 1y?

larisa86 [58]

The first one would be the right one!

you just take all the y one side and the numbers on one side
so 8y+4= 6+3y

now 8y-3y= 6-4

therefore 5y = 2

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3 years ago

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What’s is Sin(22)x240

gizmo_the_mogwai [7]

The answer would be 89.90558242
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3 years ago

In a race, a triathlete runs 1/3 of the total distance, cycles 2/5 of the total distance, and swims the remaining distance. He s

liraira [26]

4500 meters. You find this by adding 1/3 and 2/5 which equals 11/15. This means that the remaining 4/15 is 1200 meters long. Divide 1200 by 4 in order to find the distance per 1/15 and you get 300. Multiply 300 with 15 to get the total distance of the race.

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3 years ago

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Distinguish whether the ordered pair (16, -3) is a solution to:

sammy [17]

I believe you should try to plug in the ordered pair to see if the solutions work.

The ordered pair is (x,y) because x is on the x-axis and y is on the y-axis, therefore in (16,-3) the x=16 and y=-3.

Now substitute, meaning plug in those numbers into the equation.
For x+2y=10 would be 16+2(-3)=10
Now you just need to solve one side and see if it equals the other side.
16+2(-3)
First you use order of operations to solve this. PEMDAS. So you multiply 2(-3) first because of the parenthesis and it being multiplication.
16+(-6) and when you have a positive number adding a negative number it’s going backwards of the number line, basically meaning subtraction in a way. Sorry if this confuses you, if you already know how to do negatives and such nevermind this part.
But 16+(-6)=10
So now you look at both side of the equation, does the left side equal to the right? 10=10, so yes. It is a solution for that equation.

Now for the next equation, 7y=-21
Again, plug in the ordered pair (16,-3) into the equation. Remember that it’s (x,y).
There is no x in this equation so no need to worry about that; you only plug in y for this one.
7(-3) Now you multiply. Whenever you multiply a positive number and a negative number, the answer will always be negative. So 7(-3) is -21.
Now look if the left side is equivalent to the right. Does -21=-21? Yes. The ordered pair is a solution.

(16,-3) is a solution to both equations.

Hope this helps!

5 0

3 years ago

What is the simplified form of 15 x to the eighth power over 24 y to the fifth power divided by 4 x to the fourth power over 8 s

IRISSAK [1]

The exponent symbol when typing is ^. so I so rewrite this for you.
(15x^8 / 24y^5) / (4x^4 / 8y^2)

I assumed you meant 8y squared because you said 8 squared.

now when we divide by a fraction, we can actually multiply by it's reciprocal and get the same thing. The word reciprocal really just means flip it over. so:

(15x^8 / 24y^5) * (8y^2 / 4x^4)

let's reduce the coefficients ( the numbers in front of the x and y) to make it easier.

We have 15/24 which can be reduced to 5/8
and 8/4 which is 2/1

so:
(5x^8 / 8y^5) * (2y^2 / x^4)

multiply numerator and denominator
(10x^8y^2) / (8x^4y^5)

now reduce coeffient. 10/8 is 5/4
reduce x: x^8/x^4 is x^4
reduce y: y^2/y^5 is 1/y^3

now put together
5x^4 / 4y^3

so C

3 0

3 years ago