Answer:
x = 17
y = 8
QPR = 35º
QRP = 60º
Step-by-step explanation:
2x + 1 = x + 18
Subtract x from both sides
x + 1 = 18
Subtract 1 from both sides
x = 17
QPR = 2x + 1
QPR = 2(17) + 1
QPR = 35º
-------------------------------
8y - 4 = 4y + 28
Subtract 4y from both sides
4y - 4 = 28
Add 4 to both sides
4y = 32
Divide both sides by 4
y = 8
QPR = 8y - 4
QRP = 8(8) - 4
QRP = 60º
Which of what following? Is it suppose to be multiple choice?
9514 1404 393
Answer:
D: all real numbers
R: f(x) > 0
A: f(x) = 0
(-∞, 0), (+∞, +∞)
vertical stretch by a factor of 2; left shift 2 units
Step-by-step explanation:
The transformation ...
g(x) = a·f(b(x -c)) +d
does the following:
- vertical stretch by a factor of 'a'
- horizontal compression by a factor of 'b'
- translation right by 'c' units
- translation up by 'd' units
For many functions, horizontal coordinate changes are indistinguishable from vertical coordinate changes. Exponential functions tend to be one of those.
__
Using the above notation, you seem to have f(x) = 3^x, and g(x) = 2f(x+2). The transformation is a vertical stretch by a factor of 2, and a translation left 2 units.
__
As with all exponential functions, ...
- the domain is "all real numbers"
- the range is all numbers above the asymptote: f(x) > 0
- the horizontal asymptote is f(x) = 0
The function is a growth function, so ...
- x → -∞, f(x) → 0
- x → ∞, f(x) → ∞
_____
<em>Additional comment</em>
The left shift is equivalent to an additional vertical stretch. The function could be rewritten as ...
f(x) = 18(3^x)
with no left shift and a vertical stretch by a factor of 18 instead of 2.
(2,2)
(x1+x2)/2, (y1-y2)/2
(-2+6)/2=(2)
(-2+6)/2=2
Answer:
<h2>

</h2>
Step-by-step explanation:
g(x) = x² - 2x - 6
h(x) = 2x² - 5x + 2
To find (h-g) (-2) we must first find h - g(x)
To find h - g(x) subtract g(x) from h(x)
We have
<h3>

</h3><h3>

</h3>
To find (h-g) (-2) substitute the value of x that's - 2 into (h - g)(x) that's replace every x in (h - g)(x) by - 2
That's
<h3>

</h3>
We have the final answer as
<h3>

</h3>
Hope this helps you