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Norma-Jean [14]
3 years ago
12

Please help with number 20

Mathematics
1 answer:
Over [174]3 years ago
5 0

Answer:

6x

2

−3−7x

=6x

2

−7x−3

=6x

2

−9x+2x−3

=3x(2x−3)+1(2x−3)

=(2x−3)(3x+1).

Then, f(x)=0⟹2x−3=0 and 3x+1=0.

Therefore, 2x=3 and 3x−−1.

That is, x=

2

3

, x=

3

−1

.

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David rolls a number cube fifty times. The number 4 comes up twelve times. The number 3 comes up eight times. What is the experi
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The temperatures at several times of the day are shown in the coordinate plane below. The x-axis represents the number of hours
Drupady [299]

Question:

The temperatures at several times of the day are shown in the coordinate plane below. The x-axis represents the number of hours before or afternoon. For example, -1 would represent 11 a.m. The y-axis represents the temperature in degrees Celsius.At 5 p.m, the temperature is halfway between the temperature at 2 p.m. and the temperature at 8 p.m.

What coordinates represent the temperature at 5 p.m.?

Answer:

(5, 2)

=> At 5pm, the temperature is at 2⁰C

Step-by-step Explanation:

Coordinates of any point on a cartesian/coordinate plane is represented by (x, y). Where x is the number at the point on z-axis, while y is the number at the same point on the y-axis.

From the diagram of the coordinate plane attached below, we can simply find out what coordinates represent the temperature at 5pm.

==> Given that the temperature at 5pm is half way between the temperature at 2pm (y=7) and temperature at 8pm (y=-3), the point that is being referred to = [7+(-3)] ÷ 2 = ⁴/2 = 2 (i.e. 2 on the y axis representing temperature)

*The position of the point is indicated in the second picture that is attached below.

At that position of the point, we have 2 as the coordinate for the y axis representing temperature, and at that same position, we have 5 on the x-axis representing the number of hours.

Therefore, coordinates of the point (x, y) representing 5p.m = (5, 2)

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