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vazorg [7]
3 years ago
8

How many points need to be removed from this graph so

Mathematics
1 answer:
astraxan [27]3 years ago
4 0

Answer:

OPtion 3 points

Step-by-step explanation:

See the attached figure.

As shown, we can notice that the coordinates of all the points are (-3,2), (-3,3), (1,4), (1,-4), (2,-2), (2,-4).

The figure will be a function if for each value of x there exist a unique value of y.

In the figure, for each value of x we have two values of y. So it is not a function. We need to remove any of ordered pairs that have same input values.

From (-3,2) and (-3,3), we need to remove one point.

From (1,4) and (1,-4), we need to remove one point.

From (2,-2) and (2,-4), we need to remove one point.

It means total we need to remove 3 points from this graph so that it will be a function.

So, the correct option is 3 points.

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Given an exponential function for compounding interest A(x)= P(.82)^x what is the rate of change
Katena32 [7]

Answer:

For the answer to the question above, it is -18% because to find rate we subtract the rate, in this case, is .82 or 82% - 1 or 100% and that would give you the rate, in this case, its decreasing by an 18%

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3 0
3 years ago
Which answer is a solution of the equation?
Nuetrik [128]

2x + y = 5

Put the coordinates of the points to the equation and check it:

A. 5 - not make sense

B. (1, 2) - x = 1, y = 2

2(1) + 2 = 2 + 2 = 4 ≠ 5  NOT

C. (2, -1) - x = 2, y = -1

2(2) + (-1) = 4 - 1 = 2 ≠ 5    NOT

D. (3, -1) - x = 3, y = -1

2(3) + (-1) = 6 - 1 = 5    YES

<h3>Answer: D. (3, -1).</h3>
8 0
3 years ago
Mr. Lopez wrote the equation 32g+8g-10g=150 on the board. Four students explained how to solve for g. Alyssa: “I added 32 and 8
Vaselesa [24]

Answer:

Wilhem

Step-by-step explanation:

The given equation is

32g+8g-10g=150

Step 1 : Add 32g and 8g.

(32g+8g)-10g=150

(32+8)g-10g=150

40g-10g=150

Step 2: Subtract 10 from 40.

(40-10)g=150

30g=150

Step 3: Divide both sides by 30, find the value of g.

\frac{30g}{30}=\frac{150}{30}

g=5

The value of g is 5.

Therefore, Wilhem is correct.

7 0
3 years ago
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shepuryov [24]

Answer:

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The planets move around the sun in elliptical orbits with the sun at one focus. The point in the orbit at which the planet is cl
gladu [14]

Consider the attached ellipse. Let the sun be at the right focus. Then perihelion is at right vertex on the x-axis and aphelion is at the left vertex on the x-axis.

The distances:

  • from perihelion to the sun in terms of ellipse is a-c;
  • from aphelion to the sun in terms of ellipse is a+c.

Then

\left\{\begin{array}{l}a-c=741,000,000\\a+c=817,000,000\end{array}\right.

Add these two equations:

2a=1,558,000,000 \\ \\a=779,000,000

and subtract first equation from the second:

2c=76,000,000 \\ \\c=38,000,000.

Note that b=\sqrt{a^2-c^2}, thus

b=\sqrt{779,000,000^2-38,000,000^2}=\sqrt{605,397,000,000,000,000}.

The equation for the planet's orbit is

\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}=1\Rightarrow \dfrac{x^2}{606,841,000,000,000,000}+\dfrac{y^2}{605,397,000,000,000,000}=1.

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