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mash [69]
3 years ago
14

Which Equation best represents the line graphed above? Y=-3x-1 Y=-3x+1 Y=3x+1 Y=3x-1

Mathematics
2 answers:
Ipatiy [6.2K]3 years ago
6 0
C. y=3x+1 is the answer.
kakasveta [241]3 years ago
6 0

Answer:

y=3x+1

Step-by-step explanation:

The line has positive slope, therefore the variable in the equation must be positive (y=-3x+1 and y=-3x-1 must be discarded)

Now, in the graph we can see that the line passes over the following points:

(0,1) \rightarrow x=0, y=1\\(1,4) \rightarrow x=1, y=4

With the point (0,1), we can discard y=3x-1 because:

in the equation  y=3x-1, we have: x=0 \rightarrow y=3(0)-1=0-1=-1\rightarrow y=-1

The line doesn't pass over the point (0,-1)

Therefore, the equation is y=3x+1.

We can verify the answer with the points (0,1) and (1,4), replacing values in the equation:

(0,1):\\x=0\rightarrow y=3(0)+1=0+1=1\rightarrow y=1\\\\(1,4):\\x=1\rightarrow y=3(1)+1=3+1=4\rightarrow y=4

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OleMash [197]
The answer is 11

Hope this helps!!
4 0
3 years ago
Z^2 - x; use x = 1, and z = 3
elena55 [62]

Answer:

8

Step-by-step explanation:

3^2 = 9 - 1 = 8

6 0
2 years ago
while visiting a mountain, John approximated the angle of elevation to the top of a hill to be 25 degrees. Alfter walking 350 fe
strojnjashka [21]
There are several ways of going about this problem, but just know that it all boils down to triangles and the rules/laws of triangles.
So we start by making a large right triangle, because the hill is vertical with the horizontal ground, with 25° as the left angle (where John looks up to top), 90° is the right angle (where ground meets hill base). So we see that the top side of the triangle is the hypotenuse, and equals the line of sight from John to hilltop.
Now we've got additional information that if John walks 350ft towards the hill, his angle of elevation increases by 14. So that = 25+14 = 39. How does that possibly help us?? Well now we can make 2 triangles inside of the one we've already made. So that now we have the triangle base split between the left angle of 25° and where he stopped 350ft to the right of that.
Now the supplement of 39 is 141, and the remaining piece of that too left triangle = 180-25-141 = 14. What does that mean? Well now we have a triangle, where we know all 3 angles and 1 side --> we can find another side by the law of sines:
If a, b and c are the lengths of the legs of a triangle opposite to the angles A, B and C respectively; then the law of sines states:
a÷sinA = b÷sinB = c÷sinC
We really need the hypotenuse to then find our hill height, so we'll make hypotenuse = side b in attached image. That being so, then its opposite angle (B) = 141. And the top right angle (C) = 14 with its opposite side (c) = 350ft.
Now we only need b÷sinB = c÷sinC
So b/sin141 = 350/sin14 --> b = 350sin141/sin14 = 350×.63/
b = 220.3/.24 = 910.47 ft
Now that's our hypotenuse, so using our original large right triangle, we can use right triangular trig. to solve. Let's make the right side, our hill height, equal to x.
Sin ¥ = opp. side / hypotenuse -->
Sin ¥ = x / hypotenuse
Sin25 = x / 910.5
x = 910.5×sin25 = 910.5×.423
x = 384.8 ft

3 0
3 years ago
Find the equation of line shown
goldenfox [79]

Answer:

give me sec waitttttttt give me sec

Step-by-step explanation:

give me give me sec waitttttttt give me sec

3 0
3 years ago
Neeeeed help please
Nikolay [14]
A nice riddle, mathematical riddle.

Assuming a turtle winning means the declared winner is the weaker one actually won over the stronger one.  In this context, the turtle winner is the one who has a lesser number of favourable votes.

The given rules for the points are as follows:
1. Point for the first choice must be greater than or equal to that of the second choice.
2. All points must be positive whole numbers.

Let's suppose we have Henry against Tim.
Henry is favourite of the voters and is the leading candidate, according to popular polls.
Tim is an excellent manipulator, sly, and everybody knows this.

On polling day, the vote count came out as follows (in point counts)

Henry      Tim
2              1
2              1
2              1
2              1
2              1
2              1
10            1  (Henry's own vote)
1          100  (Tim's own vote)
------------------
17        107  TOTAL POINTS

So Tim the turtle was declared winner of the race, and since everything was according to rule, even a recount of the votes did not change the results.

Be aware, voting by districts (instead of popular votes) also exhibits a similar problem.



3 0
3 years ago
Read 2 more answers
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