Given g(x) = 2x + 3, find g(3).
1 answer:
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When it comes to dividing decimals, bear in mind that, first off you'd want to do away with the decimal point.
now, "you add as many zeros to the other term, as it has decimals", what the heck does that mean?
for example 2.135 ÷ 5
notice, the 2.135 has three decimals, namely three numbers to the right of the decimal point.
since 2.135 has three decimals, then what we do, we add three zeros to 5, AND do away with the decimal point, thus our division is really
2135 ÷ 5000, which is 0.427
now, if we had 2.135 ÷ 5.79
what we do is, since 2.135 has three decimals, we add three zeros to 5.79, and since 5.79 has two decimals, we add two zeros to 2.135, then our division is really
213500 ÷ 579000 <-- notice, no dot on both
which is about 0.3687392
anyhow, that said, check the picture below
now, "you add as many zeros to the other term, as it has decimals", what the heck does that mean?
for example 2.135 ÷ 5
notice, the 2.135 has three decimals, namely three numbers to the right of the decimal point.
since 2.135 has three decimals, then what we do, we add three zeros to 5, AND do away with the decimal point, thus our division is really
2135 ÷ 5000, which is 0.427
now, if we had 2.135 ÷ 5.79
what we do is, since 2.135 has three decimals, we add three zeros to 5.79, and since 5.79 has two decimals, we add two zeros to 2.135, then our division is really
213500 ÷ 579000 <-- notice, no dot on both
which is about 0.3687392
anyhow, that said, check the picture below
Answer:
A. (0, -2) and (4, 1)
B. Slope (m) = ¾
C. y - 1 = ¾(x - 4)
D. y = ¾x - 2
E. -¾x + y = -2
Step-by-step explanation:
A. Two points on the line from the graph are: (0, -2) and (4, 1)
B. The slope can be calculated using two points, (0, -2) and (4, 1):
Slope (m) = ¾
C. Equation in point-slope form is represented as y - b = m(x - a). Where,
(a, b) = any point on the graph.
m = slope.
Substitute (a, b) = (4, 1), and m = ¾ into the point-slope equation, y - b = m(x - a).
Thus:
y - 1 = ¾(x - 4)
D. Equation in slope-intercept form, can be written as y = mx + b.
Thus, using the equation in (C), rewrite to get the equation in slope-intercept form.
y - 1 = ¾(x - 4)
4(y - 1) = 3(x - 4)
4y - 4 = 3x - 12
4y = 3x - 12 + 4
4y = 3x - 8
y = ¾x - 8/4
y = ¾x - 2
E. Convert the equation in (D) to standard form:
y = ¾x - 2
-¾x + y = -2