The function was moved two units to the left (a)
Answer:
y = -0.2x + 8
Step-by-step explanation:
To write a linear function, calculate the rate of change of the gallon of water leaving the tank and the starting level.
The function will describe the number of gallons over time or (time, gallons).
This means the function has data points (1, 7.8) and (9, 6.2).
Use the rate of change or slope formula to calculate it.
![m = \frac{7.8 - 6.2}{1 - 9} =\frac{1.6}{-8} = -0.2](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B7.8%20-%206.2%7D%7B1%20-%209%7D%20%3D%5Cfrac%7B1.6%7D%7B-8%7D%20%3D%20-0.2)
This means that for the formula y = mx+b then m = -0.2.
This also means that after losing 0.2 gallons the first hour it was at 7.8. So the starting value is 8 gallons.
The equation is y = -0.2 x + 8.
Answer:
$16.25
Step-by-step explanation:
Half a gallon for $2.50 is the same as a quarter a gallon for $1.25.
If she needs 3.25 gallons, which is 13 quarters, we do $1.25 * 13 = $16.25.
Therefore, she will spend $16.25.
The shape of the vertical cross section of the solid figure is Circle , Option A is the right answer.
What is a Circle ?
A circle is a round figure with all the points lying in the same plane .
It is given that
Tung rotates a square around its horizontal axis of symmetry to make a solid figure.
the shape of the vertical cross section of the solid figure will be a circle that can be seen in the image attached
The rotation image is also attached and the horizontal axis is taken as straight to show the formation of a circle.
Therefore Option A is the right answer.
To know more about Circle
brainly.com/question/11833983
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Given:
The figure of two quadrilaterals.
In ![ABCD,AB=18,BC=20,CD=22,AD=24](https://tex.z-dn.net/?f=ABCD%2CAB%3D18%2CBC%3D20%2CCD%3D22%2CAD%3D24)
In ![EFGH,EF=27,FG=30,GH=34, EH=36](https://tex.z-dn.net/?f=EFGH%2CEF%3D27%2CFG%3D30%2CGH%3D34%2C%20EH%3D36)
To find:
Whether the figures are congruent, similar or neither.
Solution:
Ratio of corresponding sides are:
![\dfrac{AB}{EF}=\dfrac{18}{27}](https://tex.z-dn.net/?f=%5Cdfrac%7BAB%7D%7BEF%7D%3D%5Cdfrac%7B18%7D%7B27%7D)
![\dfrac{AB}{EF}=\dfrac{2}{3}](https://tex.z-dn.net/?f=%5Cdfrac%7BAB%7D%7BEF%7D%3D%5Cdfrac%7B2%7D%7B3%7D)
Similarly,
![\dfrac{BC}{FG}=\dfrac{20}{30}](https://tex.z-dn.net/?f=%5Cdfrac%7BBC%7D%7BFG%7D%3D%5Cdfrac%7B20%7D%7B30%7D)
![\dfrac{BC}{FG}=\dfrac{2}{3}](https://tex.z-dn.net/?f=%5Cdfrac%7BBC%7D%7BFG%7D%3D%5Cdfrac%7B2%7D%7B3%7D)
![\dfrac{CD}{GH}=\dfrac{22}{34}](https://tex.z-dn.net/?f=%5Cdfrac%7BCD%7D%7BGH%7D%3D%5Cdfrac%7B22%7D%7B34%7D)
![\dfrac{CD}{GH}=\dfrac{11}{17}](https://tex.z-dn.net/?f=%5Cdfrac%7BCD%7D%7BGH%7D%3D%5Cdfrac%7B11%7D%7B17%7D)
And,
![\dfrac{AD}{EH}=\dfrac{24}{36}](https://tex.z-dn.net/?f=%5Cdfrac%7BAD%7D%7BEH%7D%3D%5Cdfrac%7B24%7D%7B36%7D)
![\dfrac{AD}{EH}=\dfrac{2}{3}](https://tex.z-dn.net/?f=%5Cdfrac%7BAD%7D%7BEH%7D%3D%5Cdfrac%7B2%7D%7B3%7D)
Clearly,
.
All corresponding sides are not proportional.
Therefore, the figures are neither similar nor congruent. Hence, third option is correct.