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malfutka [58]
2 years ago
7

Explain how to graph information from the table

Mathematics
2 answers:
Lisa [10]2 years ago
6 0
The table gives you x and y coordinates. The graph has an x and y axis. Your x coordinates are paired with your y coordinates. Remember to always start at the origin, when plotting your points. For example, if the table gave you 2 for x and 3 for y. You would go 2 units across and 3 units up. Then, plot that point. Continue plotting the points and then if it's a linear graph, make a line with a ruler going through the points.
natulia [17]2 years ago
3 0

Answer:

Plot the ordered pairs (2, 5) and (4, 10). Start at (4, 10). Move right 2 and up 5, and then plot a point. Use the same rate to plot other points. You could also draw a line through the origin and the two given points. Any point on the line represents an equivalent ratio.

Step-by-step explanation:

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Which statement describes the inverse of m(x) = x2 – 17x?
stealth61 [152]

Answer:

The correct option is;

The \ domain \ restriction \ x \geq \dfrac{17}{2} \ results \ in \ m^{-1}(x) = \dfrac{17}{2} \pm \sqrt{x + \dfrac{289}{4} }}

Step-by-step explanation:

The given information is that m(x) = x² - 17·x

The above equation can be written in the form;

y = x² - 17·x

Therefore;

0 = x² - 17·x - y

From the general solution of a quadratic equation, 0 = a·x² + b·x + c we have;

x = \dfrac{-b\pm \sqrt{b^{2}-4\cdot a\cdot c}}{2\cdot a}

By comparison to the equation,0 = x² - 17·x - y, we have;

a = 1, b = -17, and c = -y

Substituting the values of a, b and c into the formula for the general solution of a quadratic equation, we have;

x = \dfrac{-(-17)\pm \sqrt{(-17)^{2}-4\times (1) \times (-y)}}{2\times (1)} = \dfrac{17\pm \sqrt{289+4\cdot y}}{2}

Which can be simplified as follows;

x =  \dfrac{17\pm \sqrt{289+4\cdot y}}{2}= \dfrac{17}{2} \pm \dfrac{1}{2}  \times \sqrt{289+4\cdot y}} = \dfrac{17}{2} \pm \sqrt{\dfrac{289}{4} +\dfrac{4\cdot y}{4} }}

And further simplified as follows;

x = \dfrac{17}{2} \pm \sqrt{\dfrac{289}{4} +y }} = \dfrac{17}{2} \pm \sqrt{y + \dfrac{289}{4} }}

Interchanging x and y in the function of the inverse, m⁻¹(x), we have;

m^{-1}(x) = \dfrac{17}{2} \pm \sqrt{x + \dfrac{289}{4} }}

We note that the maximum or minimum point of the function, m(x) = x² - 17·x found by differentiating the function and equating the result to zero, gives;

m'(x) = 2·x - 17 = 0

x = 17/2

Similarly, the second derivative is taken to determine if the given point is a maximum or minimum point as follows;

m''(x) = 2 > 0, therefore, the point is a minimum point on the graph

Therefore, as x increases past the minimum point of 17/2, m⁻¹(x) increases to give;

The \ domain \ restriction \ x \geq \dfrac{17}{2} \ results \ in \ m^{-1}(x) = \dfrac{17}{2} \pm \sqrt{x + \dfrac{289}{4} }} to increase m⁻¹(x) above the minimum.

8 0
2 years ago
PLS I NEED HELP ANSWER WILL GIVE BRAINLIEST ANSWER BOTH QUESTIONS ONE AND TWO
KiRa [710]
I hope this is helpful

8 0
3 years ago
WILL GIVE BRAINLEST!!! solve the triangle and answers to the nearest tenth.
sineoko [7]

Answer:

Angle A is 29 degress Angle B is 61 Angle C is 90

Side AB is 5.8 Side BC is 2.8 and  Side AC is 5.1

Step-by-step explanation:

Angle A is found using triangle interior theorem.

I found side AC by using law of sines

b/sin b= c/sin c

x/sin 61= 5.8/sin 90( which equal 1)

x=5.1

I found side BC by using pythagoren theorem.

a^2 + b^2=c^2

5.1^2+ b^2=5.8^2

26.01+b^2=36.64

b^2=7.63

b=approx 2.8.

8 0
3 years ago
Is -3 a whole number and/or a natural number?
vredina [299]
Whole number i think
7 0
3 years ago
Read 2 more answers
He nine ring wraiths want to fly from barad-dur to rivendell. rivendell is directly north of barad-dur. the dark tower reports t
kiruha [24]

This problem is better understood with a given figure. Assuming that the flight is in a perfect northwest direction such that the angle is 45°, therefore I believe I have the correct figure to simulate the situation (see attached).

 

Now we are asked to find for the value of the hypotenuse (flight speed) given the angle and the side opposite to the angle. In this case, we use the sin function:

sin θ = opposite side / hypotenuse

sin 45 = 68 miles per hr / flight

flight = 68 miles per hr / sin 45

<span>flight = 96.17 miles per hr</span>

6 0
3 years ago
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