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Vesna [10]
3 years ago
8

The equation of three other functions are given which function or functions have a slope equal to the slope of Function 1

Mathematics
1 answer:
ratelena [41]3 years ago
5 0

Answer:

See Explanation

Step-by-step explanation:

Required

Function(s) with the same slope as function 1

The question is incomplete as function 1 and the three additional functions are not given.

However, I will provide a general explanation.

A slope is represented as:

y = mx + b

Where

m \to slope

So, considering the following equations

y = 2x + 3

y = \frac{3x}{2} + 9

y = 2x - 5

y = -2x + 3

The following equations have the same slope

y = 2x + 3 and y = 2x - 5

Because: y = mx + b implies that:

m = 2 for y = 2x + 3 and y = 2x - 5

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Y = −(x + 4)2 − 7 vertex
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Answer:

The vertex (h,k) is (-4,-7).

Step-by-step explanation:

I assume you are looking for the vertex y=-4(x+4)^2-7.

The vertex form of a quadratic is y=a(x-h)^2+k where the vertex is (h,k) and a tells us if the parabola is open down (if a<0) or up (if a>0). a also tells us if it is stretched or compressed.

Anyways if you compare y=-4(x+4)^2-7 to y=a(x-h)^2+k , you should see that a=-4,h=-4,k=-7.

So the vertex (h,k) is (-4,-7).

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Step-by-step explanation:

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Which of the following is the reciprocal of x2 – 2x – 8?
Ann [662]
Hi again

x² - 2x - 8
Factor
= (x + 2)(x -4)
Answer : A is the correct option.


If you wanna check if A is the right answer, I will solve it for you and it will you give you the exact answer which will be x² - 2x - 8
(x+2)(x-4)
Distribute
(x)(x) + (x)(-4)+(2)(x)+(2)(-4)
= x² - 4x + 2x - 8
= x² - 2x - 8
Here it is, we find the exam answer.

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6 0
3 years ago
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)

==> At 5pm, the temperature is at 2⁰C

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