Evaluate the expression, using the given value of the variable. z ÷ 2 – 4z + 3(z – 3) when z = 8 A. –17 B. –13 C. –7 D. –1
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Hey there!
The answer to your question is, yes, it is
Given:
To see if they are equal, we can use cross products (see below for information about this, if you don't know what it is). Let us assume they are equal. This would mean that:
Let's solve it and see if it is true:
Therefore, they <em>are </em>proportional.
<u>Cross products</u>
WORD DEFINITION:
Given two fractions, you can take the numerator of the first fraction multiplied by the denominator of the second fraction and it should equal the denominator of the first fraction multiplied by the numerator of the second fraction.
ALGEBRAIC DEFINITION:
Given two fractions,
,
<em>should </em>equal to
Hope it helps, and have a terrificly amazing day!
Answer:
see below for a graph
Step-by-step explanation:
To draw a graph on a grid, locate the point (4, -2) and use the slope to find another point. One such point will be 1 to the left and up 3*, at (3, 1). With two points, you can draw the line through them to complete the graph.
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For a graphing tool that requires an equation, the point-slope form of the equation can be used:
y -k = m(x -h) . . . . . a line of slope m through point (h, k)
For the given slope and point, the equation of the line is ...
y +2 = -3(x -4)
y = -3x +10
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* The slope is "rise" over "run". The slope of -3 means that a <em>run</em> of +1 will result in a <em>rise</em> of -3. The given point is already below the x-axis, so we don't really want to find more points farther down. In order to go up on a line with negative slope, we must choose a point to the left of the given one.
