Answer:
a = 4, p = 2, q = - 1
Step-by-step explanation:
Expand the right side of the identity, then compare the coefficients of like terms with those on the left side.
a(x - p)² + q ← expand (x - p)² using FOIL
= a(x² - 2px + p²) + q ← distribute parenthesis
= ax² - 2apx + ap² + q
Compare coefficients of x² term
a = 4
Compare coefficients of x- term
- 2ap = - 16, that is
- 2(4)p = - 16
- 8p = - 16 ( divide both sides by - 8 )
p = 2
Compare constant terms
ap² + q = 15 , that is
4(2)² + q = 15
16 + q = 15 ( subtract 16 from both sides )
q = - 1
Thus a = 4, p = 2, q = - 1
Answer:
$11917.03
Step-by-step explanation:
Use Compound Interest Formula:
A = 7,000 (1 + 0.06/2)^2(9)
Simplify:
A = 7,000(1.03)^18
Solve:
A = $11917.03
Answer:
Graph #1 - y=-20x+40
Graph #2 - y=5x+10
Step-by-step explanation: The first thing that you do is pull two points from each of the graphs and find the slope. To find the slope you use
<h2>
M = y2-y1/x2-x1</h2>
<u>FROM GRAPH #1:</u>
<h3>(3,40) (2,80)</h3>
(x1,y1) (x2,y2)
80-40/2-3
20/-1
M = -20
<u>FROM GRAPH #2:</u>
<h3>
(1,10) (3,20)</h3>
(x1,y1) (x2,y2)
20-10/3-1
10/2
M = 5
2. Now once you find the slope you will use the equation of a line formula to form an equation.
<h2>
y=mx+b</h2>
The (mx) is your slope, the (b) is the y-intercept. (any value on the y-axis)
3. Since we now know the equation of a line and the slope we will substitute the variables.
<u>Graph #1:</u>
y=mx+b
y=-20x+40
<u>Graph #2:</u>
y=mx+b
y=5x+10
<h3>
HOPE THIS HELPS :)</h3>
Answer:
There are three major trignometric ratios in mathematics and they are:
sine(sin), cosine(cos) and tangent(tan). A popular acronym is used in recalling the formula for each ratio and it is: SOH-CAH-TOA.
Sine(x) = Opp/Hyp
Cosine(x) = Adj/Hyp
Tangent(x) = Opp/Adj
Now, the Hyp is the hypothenus of the triangle and it is the side opposite to angle 90. The opposite and adjacent is kind of relative depending on the angle been considered. For this case, we are considering angle 30 which the opposite side is 60 and the remaining side becomes the adjacent
Step-by-step explanation:
tan 30 = 60/x
Answer:
9x=18
Divide by 9
X=2
Step-by-step explanation:
