How many liters are there in 70 quarts? 1 qt ≈ 0.95 L

I have to write the definitions of all of these math terms, can you help me?

EastWind [94]

Answer:

Solution of an Equation in Two Variables - Generally, a two-variable system solution is an ordered pair that makes BOTH equations valid.

Graph of an Equation in Two Variables - In the Ax + By = C form, linear equations with two variables will appear, and the resulting graph is always a straight line.

Linear Equation - Any equation that can be written in shape is a linear equation. Ax+b=0, 0.0 Where the real numbers are a and b, and x is a vector.

Linear Function - Those whose graph is a straight line are linear functions. The following form has a linear function. F(x) = y = a + bx.

I can't add a drawing right now, but I help these help!!

3 0

3 years ago

What is the range of this piecewise function

White raven [17]

Answer as a compound inequality: $-4 \le y < 2$

Answer in interval notation: [-4, 2)

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Explanation:

The range is the set of all possible y outputs of a function. When dealing with a graph like this, we just look at the highest and lowest points to determine which y values are possible.

The lowest point occurs when y = -4. We include this value. So far we have $y \ge -4$ which is the same as $-4 \le y$

The upper ceiling for the y value is y = 2. We can't actually reach this value because of the open hole at (-3,2). So we say that $y < 2$

Combine $-4 \le y$ and $y < 2$ to get the compound inequality $-4 \le y < 2$

This says y is between -4 and 2, including -4 but excluding 2.

To convert this to interval notation, we write [-4, 2) where the square bracket says to include the endpoint and the curved parenthesis says to exclude the endpoint.

6 0

2 years ago

Write the equation of the perpendicular bisector of CD.

Luda [366]

You haven't provided the coordinates of C and D, therefore, I cannot provide an exact solution. However, I'll tell you how to solve this problem and you can apply on the coordinates you have.

The general form of the linear equation is:
y = mx + c
where:
m is the slope and c is the y-intercept

1- getting the slope:
We will start by getting the slope of CD using the formula:
slope = (y2-y1) / (x2-x1)
We know that the line we are looking for is perpendicular to CD. This meas that the product of their slopes is -1. Knowing this, and having calculated the slope of CD, we can simply get the slope of our line

2- getting the y-intercept:
To get the y-intercept, we will need a point that belongs to the line.
We know that our line passes through the midpoint of CD.
Therefore, we will first need to get the midpoint:
midpoint = ( $\frac{x1+x2}{2} , \frac{y1+y2}{2}$ )

Now, we will use this point along with the slope we have to substitute in the general equation and solve for c.

By this, we would have our equation in the form of:
y = mx + c

Hope this helps :)

8 0

3 years ago

Read 2 more answers

Explain how the Quotient of Powers was used to simplify this expression. 2 to the fifth power, over 8 = 22 By finding the quotie

astraxan [27]

Answer:

we can do it by simplifying 8 to $2^3$ to make both powers base two, and subtracting the exponents.