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kolezko [41]
3 years ago
15

Use the points (1997, 13) and (2005, 22) to write the slope intercept form of an equation for the line of fit shown in the scatt

er plot. Round values to the nearest hundredth.
A. y=0.89x+1985.44
B. y=1.13x-2243.65
C. y=1.13x-2233.63
D. y=0.89x-1985.44

Mathematics
1 answer:
Rainbow [258]3 years ago
6 0
Answer: C. y=1.13x-2233.63
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Sketch the graph of and identify the axis of symmetry
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The axis of symmetry is found within the set of parenthesis with the x.  If our h value of the vertex is -4, then the axis of symmetry is x = -4.  D is that choice.  Cannot graph it here, but your vertex is sitting at (-4, 4), it's an upside down parabola, and some other points on this graph are (-5, 0), (-3, 0), (-6, -12), (-2, -12).  You could graph it using those points and the vertex without a problem, I'm sure.
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Find the distance between the points. (Round your answer to two decimal places. (9.7, - 2.8), (- 3.2, 8.8)
Dmitry [639]

Answer:

Rounding it to two decimal places, we get distance, d=17.35

Step-by-step explanation:

Given:

The two points are (9.7, -2.8)\textrm{ and }(-3.2, 8.8)

The distance between the two points can be obtained using the distance formula which is given as:

d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}

Here, for the points, (9.7, -2.8)\textrm{ and }(-3.2, 8.8)

x_{1}=9.7,x_{2}=-3.2,y_{1}=-2.8,y_{2}=8.8

Therefore, the distance between the points is:

d=\sqrt{(-3.2-9.7)^2+(8.8-(-2.8))^2}\\d=\sqrt{(-12.9)^2+(8.8+2.8)^2}\\d=\sqrt{(12.9)^2+(11.6)^2}\\d=\sqrt{166.41+134.56}\\d=\sqrt{300.97}=17.348

Rounding it to two decimal places, we get d=17.35

7 0
3 years ago
The value of x in the proportion 1/2:2/3 = 3/4:x is
Ratling [72]
To change 1/2 to 3/4 you multiply by 3/2 so then multiply 3/4 by 3/2 and you get 6/6 or 1...the answer is 1
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2 years ago
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X<br> =<br> x=x, equals <br><br> units
Vera_Pavlovna [14]

Answer:

x

Step-by-step explanation:

4 0
2 years ago
A baker uses 34 cup of honey in one of his cakes. There are 60 calories in 18 cup of honey. How many calories are in 34 cups of
Harrizon [31]

Answer:

There are 113\frac{1}{3} calories in 34 cups of honey.

Step-by-step explanation:

In order to find the amount of calories in 34 cups of honey, we can use the given values of 60 calories in 18 cups to find the unit rate, or the amount of calories in just one cup of honey.  Unit rate is found by comparing the two amounts as a ratio (fraction) and dividing the numerator by the denominator:

\frac{60}{18} = 3\frac{1}{3} calories/cup

Since there are 3\frac{1}{3} calories per cup of honey, we can find the total calories in 34 cups by multiplying:

3\frac{1}{3} = \frac{10}{3} x \frac{34}{1} = 113\frac{1}{3}

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3 years ago
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