Answer:
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Step-by-step explanation:
jkdshhsdhdhd
Emma recently purchased a new car. She k business trips. The results are shown in the table below. decided to keep track of how many gallons of gas she used on five of her 1. Number of Miles Driven Gallons Used 150 200 400 600 1000 10 19 29 51 Write the linear regression equation for these data where miles driven is the independent variable. (Round all values to the nearest hundredth.) 2. The table below shows the number of grams of earbohydrates, x, and the number of Calories, y, of six different foods. Carbohydrates () Calories () 120 138 147 9.5 10 6 108 62 Which equation best represents the line of best fit for this set of data? 1) У-15х У-0.17-04 y-14.1x+5.8 3) 4) 2) у" 0.07x ow shows the median diameter of grains of sand and the slope of the beach for 9 naturally occurring ocean beaches. Median Diameter of 0.17 0.19 0.22 0.235 0.235 0.3 0.3 0.35 0.42 0.85 Grains of Sand in Millimeters (3) Slope of Beach 0.63 in Degrees (y) 0.7 0.82088 1 1.15 1.54.4 7.3 11.3 Write the linear regression equation for this set of data, ro at a degree, on a Using this equation, predict the slope of a beach, to the nearest tenth of a degree median diameter of 0.65 mm. on a beach with grains of sand having a
Given the expression,
We will have to rationalize the denominator first. To rationalize the denominator we have to multiply the numerator and denominator both by the square root part of the denominator.
![[(8x-56x^2)(\sqrt{14x-2})]/[(\sqrt{14x-2})(\sqrt{14x-2})]](https://tex.z-dn.net/?f=%20%5B%288x-56x%5E2%29%28%5Csqrt%7B14x-2%7D%29%5D%2F%5B%28%5Csqrt%7B14x-2%7D%29%28%5Csqrt%7B14x-2%7D%29%5D%20)
If we have 
, we will get 
by multiplying them. And 
.
So here in the problem, we will get,
![[(8x-56x^2)(\sqrt{14x-2})]/(14x-2)](https://tex.z-dn.net/?f=%20%5B%288x-56x%5E2%29%28%5Csqrt%7B14x-2%7D%29%5D%2F%2814x-2%29%20)
Now in the numerator we have 
. We can check 8x is common there. we will take out -8x from it, we will get,
And in the denominator we have 
. We can check 2 is common there. If we take out 2 from it we will get,
So we can write the expression as
![[(-8x)(7x-1)(\sqrt{14x-2})]/[2(7x-1)]](https://tex.z-dn.net/?f=%20%5B%28-8x%29%287x-1%29%28%5Csqrt%7B14x-2%7D%29%5D%2F%5B2%287x-1%29%5D%20)
is common to the numerator and denominator both, if we cancel it we will get,
We can divide -8 by the denominator, as -8 os divisible by 2. By dividing them we will get,
So we have got the required answer here.
The correct option is the last one.
Answer:
18
Step-by-step explanation:
