Answer:
24 quarts
Step-by-step explanation:
in one gallon there is 4 quarts so 6*4= 24
<span>The answer is B.
The reason being is that in this option they have set both sides of the equation separately equal to y. Since they are equal to each other, they would both have to be equal to an unknown y. This would look like this.
y = 1/4x - 3
y = 1/2x + 8.
Then to remove the fractions in each, they multiplied by the denominator associated with x. So, you multiply the first equation by 4.
4y = x - 12.
Then they solve for the numerical value at the end.
4y - x = -12.
You can do the same with the second equation.
y = 1/2x + 8
2y = x + 16
2y - x = 16
These are now the two equations above. </span>
By evaluating the linear equation, we can complete the table:
x: -2 | -1 | 0 | 1 | 2 |
y: -3 | -1 | 1 | 3 | 5 |
<h3>
How to complete the given table?</h3>
Here we want to complete the table:
x: -2 | -1 | 0 | 1 | 2 |
y: | | | | |
To get the correspondent values in the "y" row, you just need to evaluate the linear function in the given values of x.
Here the function is:
f(x) = 2x - 1
Evaluating it we get:
f(-2) = 2*(-2) + 1 = -3
f(-1) = 2*(-1) + 1 = -1
f(0) = 2*0 + 1 = 1
f(1) = 2*1 + 1 = 3
f(2) = 2*2 + 1 = 5
Now we just put these values in their correspondent place on the table.
x: -2 | -1 | 0 | 1 | 2 |
y: -3 | -1 | 1 | 3 | 5 |
If you want to learn more about linear functions:
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The statement that is true about the polygons is: the opposite angles of the rectangle are supplementary, therefore, a circle can be circumscribed about the rectangle.
<h3>What is a Circumscribed Quadrilateral?</h3>
An circumscribed quadrilateral is a quadrilateral whose four side lie tangent to the circumference of a circle. The opposite angles in an inscribed quadrilateral are supplementary, that is, when added together, their sum equals 180 degrees.
From the two figures given, the opposite angles of the rectangle are supplementary, therefore, a circle can be circumscribed about the rectangle. (Option D).
Learn more about circumscribed quadrilateral on:
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