Graph the function. G(x)=2(x+2)(x+6)
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Answer:
Step-by-step explanation:
Distribute 2(x+2):
2(x) + 2(2) = 2x + 2
Use the FOIL method to multiply (2x + 2)(x+6)
(2x + 2)(x+6)
2x(x) = 2
2x(6) = 12x
2(x) = 2x
2(6) = 12
2 + 12x + 2x + 12 = 2
+ 14x + 12
Graph the following equation on a graphing calculator, and then you should know how to graph it on paper.
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Maria is enclosing a triangular pen with wire fencing. Two sides of the pen measure 14 ft and 8 ft in length. Which inequality describes the possible length. A. 14> x > 8B. 22>x> 6C. 8< x < 14D. 6 < x < 22
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Vince got a haircut from his barber that cost $15 and gave his barber a 20% tip.How much money did vince give his barber from the haircut and tip?$ ____
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3x (x-2) + 2(x - 2) *distributive property of multiplication
3x² - 6x + 2x - 4
3x² - 4x - 4 = 0
2/3 * 1/8 = 2*1 / 3*8 = 2/24 :
2/24 can be simplified into 1/12.
divide 2 by 2 to get 1. divide 24 by 2 to get 12.
3 3/4 ÷ 1 1/2
convert mixed fractions to fractions.
3 3/4 = (3*4+3)/4 = 15/4
1 1/2 = (1*2+1)/2 = 3/2
15/4 ÷ 3/2 ⇒ 15/4 * 2/3 = 15*2 / 4*3 = 30/12
30/12 can be simplified to 10/4
30 divide by 3 to get 10. 12 divide by 3 to get 4.
10/4 can be simplified to 5/2
10 divide by 2 to get 5. 4 divide by 2 to get 2.
5/2 can be a mixed fraction of 2 1/2.
30/12 = 2 6/12 can be simplified to 2 1/2.
On a coordinate plane, a parabola opens down. It goes through (negative 4, 0), has a vertex at (negative 1. 75, 6.2), and goes through (1, 0).
On a coordinate plane, a parabola opens up. It goes through (negative 1, 0), has a vertex at (1. 75, negative 6.2), and goes through (4, 0).
On a coordinate plane, a parabola opens up. It goes through (negative 4, 0), has a vertex at (negative 1. 75, negative 6.2), and goes through (1, 0).
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Answer:
None of the above
Step-by-step explanation:
See the attachment for x-intercepts and vertex coordinates. These coordinates do not match any of the answer choices.
___
The closest choice is the last one. It has the direction of opening and the intercepts correct, but the vertex coordinates wrong.
We can write the graph of f(x) = (x - 1)(x + 4) as, "On a coordinate plane, a parabola opens up. It goes through (-4, 0), has a vertex at (-1.5, -6.25), and goes through (1, 0)."
What is a parabola?
A parabola is a plane curve created by a moving point whose distance from a stationary point equals its distance from a fixed-line.
How do we solve the given question?
In the question, we are given an equation of f(x) = (x - 1)(x + 4), and are asked to identify its graph.
The given equation is of a parabola in the intercept form f(x) = a(x - p)(x - q), which opens up if a > 0 and opens down if a < 0, and which has a vertex at the point , and passes through the point (p, 0) and (q, 0).
Comparing the equation f(x) = (x - 1)(x + 4) to f(x) = a(x - p)(x - q), we get
a = 1, p = 1, q = -4.
Since, a > 0 (a = 1), we can say that it opens up.
Now, we calculate (p + q)/2 = (1 - 4)/2 = -1.5
f((p + q)/2) = f(1.5) = (-1.5 - 1)(-1.5 + 4) = (-2.5)(2.5) = -6.25.
Thus, the vertex is at point (-1.5, -6.25).
Also, the equation passes through the points (-4, 0) and (1, 0).
∴ We can write the graph of f(x) = (x - 1)(x + 4) as, "On a coordinate plane, a parabola opens up. It goes through (-4, 0), has a vertex at (-1.5, -6.25), and goes through (1, 0)."
Learn more about a Parabola at
#SPJ2
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1 is ones place
2 is tens place
4 is hundreds place
6 is thousands place
So you look at the number to the right of the thousands place is it 5 or more. No 4 is less than 5 so the 6 stays the same and all the numbers after it become zeros.
7706000