(3,2);y=3x-2
The equation is in slope-intercept form...
y=mx+b
m is the slope.
b is the y-intercept, the value of y when x=0.
Slope is 3.
Any line parallel to this has the same slope.
Point-slope formula...
y-y1=m(x-x1)
y-2=3(x-3)
y-2=3x-9
Let's add 2 to both sides...
y-2+2=3x-9+2
y=3x-7
Let's check our work...
(3,2)
2=[(3)(3)]-7
2=9-7
2=2
Answer:
1/15 each
Step-by-step explanation:
1/5 of chocolate is separated into 3
1/5 divided by 3 = 1/5 x 1/3 = 1/15 of the whole bar
Part A:
Given a function f(x), the function f(x - a) gives the horizontal shift of f(x), a units to the right while the function f(x + a) gives the horizontal shift of f(x), a units to the left.
Given the functions
<span>-3
+ 2sec(4x + 2)
-5 + 3sec(6x − 4)
3 + 0.5sec(2x + 1)
-3 − 5sec(3x − 2)
2
− 0.2sec(5x − 2)
-3 + 1.3sec(x + 2)
-1 − 2sec(6x + 5)
-4 + 7sec(5x − 7)
The arrangements of the transformations of the function y = sec x according to the resultant shifts, starting from left to right in the graph of the original secant function is as follows:
</span>-3 + 1.3sec(x + 2) ⇒ 2 places to the left
<span>-1 − 2sec(6x + 5) = -1 - 2sec6(x + 5/6) ⇒ 5/6 places to the left
</span><span>3 + 0.5sec(2x + 1) = 3 + 0.5sec2(x + 1/2) ⇒ 1/2 places to the left
</span><span>-3
+ 2sec(4x + 2) = -3 + 2sec4(x + 1/2) ⇒ 1/2 places to the left
</span><span>2
− 0.2sec(5x − 2) = 2 - 0.2sec5(x - 2/5) ⇒ 2/5 places to the right
</span><span>-3 − 5sec(3x − 2) = -3 - 5sec3(x - 2/3) ⇒ 2/3 places to the right
</span>-5 + 3sec(6x − 4) = -5 + 3sec6(x - 2/3) ⇒ 2/3 places to the right
-4 + 7sec(5x − 7)<span> = -4 + 7sec5(x - 7/5) ⇒ 7/5 places to the right
Part B:
</span>
Given a function f(x), the function f(x) - b gives the vertical shift
of f(x), b units down while the function f(x) + b gives the vertical shift of f(x), b units up.
Given the functions
<span>-3
+ 2sec(4x + 2)
-5 + 3sec(6x − 4)
3 + 0.5sec(2x + 1)
-3 − 5sec(3x − 2)
2
− 0.2sec(5x − 2)
-3 + 1.3sec(x + 2)
-1 − 2sec(6x + 5)
-4 + 7sec(5x − 7)
If there are multiple transformations that cause the same horizontal shift, the
arrangements of the transformations of the function y = sec x in ascending order beginning with the lowermost vertical shift in the graph of
the original secant function is as follows:
</span>
<span>-5 + 3sec(6x − 4) ⇒ 5 places down
</span><span>-4 + 7sec(5x − 7) ⇒ 4 places down
-3 − 5sec(3x − 2) ⇒ 3 places down
</span><span>-3
+ 2sec(4x + 2) ⇒ 3 places down
</span>-3 + 1.3sec(x + 2) ⇒ 3 places down
<span>-1 − 2sec(6x + 5) ⇒ 1 place down
</span>2 − 0.2sec(5x − 2) ⇒ 2 places up<span>
3 + 0.5sec(2x + 1) ⇒ 3 places up</span>
The amount that Mrs. Gibb was paying off with her monthly payments was
$36,000 - (1/6)×36,000 = $30,000
That amount divided into 24 equal payments is
$30,000÷24 = $1250
The best answer choice is
(a) $1250
Quotient is the correct answer