<em>Greetings from Brasil...</em>
In function F(X) = X², if we replace X with X + 4 we will have exactly function G(X) = (X + 4)²
So, just replace X for X + 4..... This will be responsible for translating 4 units to the left, because:
F(X) = X²
F(X + 4) = (X + 4)²
F(X + 4) ⇔ F(X + k) <em> see below</em>
We know that the translations are established as follows:
→ Horizontal
F(X + k) ⇒ k units to the left
F(X - k) ⇒ k units to the right
<em>see more:</em>
<em>brainly.com/question/17163323</em>
Answer:
Step-by-step explanation:
Two lines are perpendicular if the first line has a slope of
and the second line has a slope of
.
With this information, we first need to figure out what the slope of the line is that we're given, and then we can determine what the slope of the line we're trying to find is:



We now know that
for the first line, which means that the slope of the second line is
. With this, we have the following equation for our new line:

where
is the Y-intercept that we now need to determine with the coordinates given in the problem statement,
:




Finally, we can create our line:



Answer:
a) Table and graph showed
b) The distance will be 231 miles
c) Yes
Step-by-step explanation:
We know the van gets 22 mi/gal, so the distance D in miles traveled by the van can be expressed as
D(g)=22g, being g the number of gallons of gas used
a) The graph of the function D and its corresponding table of values is shown below.
b) If the van used g=10.5 gallons of gas, the distance would be:
D(10.5)=22 x 10.5 = 231 miles
c) The values of g are real in nature because they represent the amount of gas consumed by the van and it can be any real positive number. Being D a linear function of g, it also happens to take positive real values. Then it makes sense to connect the points with lines.
a. (f+g)(x) = 8x+2
b. (f-g)(x) = 4x-6
Step-by-step explanation:
Given

<u>a. (f+g)(x)</u>

<u>b. (f-g)(x)</u>

Hence,
a. (f+g)(x) = 8x+2
b. (f-g)(x) = 4x-6
Keywords: Functions
Learn more about functions at:
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