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Yuki888 [10]
3 years ago
12

At how many points does the graph of the function below intersect the x-axis?

Mathematics
1 answer:
tino4ka555 [31]3 years ago
5 0

Option A: The graph of the function intersect the x - axis at 2 points

Explanation:

Given that the function is y=2x^2-3x+1

We need to determine the number of points that the graph of the function intersect the x - axis.

This can be determined by substituting y=0 in the function y=2x^2-3x+1

Thus, we have,

0=2x^2-3x+1

Factoring the expression, we have,

0=2x^2-2x-x+1

Let us group the terms.

0=2x(x-1)+1(x-1)

Factoring out the common term (x - 1), we have,

0=(x-1)(2x+1)

Equating each term to zero, we have,

x-1=0 and 2x+1=0

     x=1 and        x=-\frac{1}{2}

Thus, the graph of the function intersect the x - axis at 2 points.

Hence, Option A is the correct answer.

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Answer:

The fastest runner is Katie

Step-by-step explanation:

In order to determine this, we must first put them all in the same terms. For the purpose of this, we will put them all in feet per second.

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3 0
3 years ago
The value of y varies directly with x. When y = 25, x = 6 1/4. What is the value of y when x is 12? 4
elena-14-01-66 [18.8K]

Answer:

Step-by-step explanation:

if y = 25 when x = 6 1/4, then when y = 12, that would mean that we divided 25  by 2.0833. So we can do 6 1/4 divided by 2.0833 is the answer which is 3.00004800077.

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Fittoniya [83]

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Step-by-step explanation:

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1 year ago
The local radio tower is located 20 miles east and 12 miles north of Pamela's cabin. The radio tower has a 25 mile broadcast rad
pychu [463]

Answer:

x^2 +y^2 -40x -24y  -81 =0

Step-by-step explanation:

We can write the equation of a circle in the form

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Where (h,k) is the center and r is the radius

Assuming that Pamela's cabin is the center

( x-20)^2 + (y- 12)^2 = 25^2

We want to get to general form

x^2 + y^2 + Dx + Ey + F = 0,

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x^2 -40x +400 + y^2 -24y +144 = 625

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