Solve for f(5): f(5) = -x + 4

Inessa [10]

This tells us two things. Our slope is 3 and our y intercept is -4.
This tells us that we need to start at (0,-4).
Plot that point.
Since our slope is 3 (3/1), move up 3 and right 1.

This you will end up at point (1,-1).
Connect these two points in a straight line, and you have graphed your line.
It will look like this

6 0

3 years ago

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The scale of the floor plan of a room is 1 cm : 6.5 m. On the floor plan, the room is 3 cm long by 2 cm wide. What are the actua

elena-s [515]

Answer:

The room is 19,5m long and 13m wide.

Step-by-step explanation:

1cm -> 6,5m

3cm -> 19,5m

2cm -> 13m

3 0

2 years ago

Estimate the limit A B C D

Lera25 [3.4K]

Answer:

C. $\lim_{x\rightarrow f(x)=2$

Step-by-step explanation:

Given problem is $\lim_{x\rightarrow \frac{\pi}{4}}\frac{tan(x)-1}{x-\frac{\pi}{4}}$ .

Now we need to evaluate the given limit.

If we plug $\x=\frac{\pi}{4}$ , into given problem then we will get 0/0 form which is an indeterminate form so we can apply L Hospitals rule

take derivative of numerator and denominator

$\lim_{x\rightarrow \frac{\pi}{4}}\frac{tan(x)-1}{x-\frac{\pi}{4}}$

$=\lim_{x\rightarrow \frac{\pi}{4}}\frac{sec^2(x)-0}{1-0}$

$=\frac{sec^2(\frac{\pi}{4})-0}{1-0}$

$=\frac{(\sqrt{2})^2}{1}$

$=\frac{2}{1}$

=2

Hence choice C is correct.

5 0

3 years ago

Solve the system of equations. 2x + 3y = 1 y = 3x + 15

MrMuchimi

Since y=3x+15
sub 3x+15 for y in other equation

2x+3(3x+15)=1
2x+9x+45=1
minus 45
11x=-44
divide 11
x=-4

sub
y=3x+15
y=3(-4)+15
y=-12+15
y=3

(-4,3)

6 0

2 years ago

What do I do to figure out this problem: 3x+8=26+x

Gnom [1K]

3x + 8 = 26 + x

The first thing you need to do is understand what you're looking for ...
what a 'solution' means, what it looks like, and how you even know
when you have it. I'm not sure you're there yet.

The 'answer' or the 'solution' to the problem is a number. It's the number
that 'x' must be in order for that line at the top to be a true statement. There's
only one possibility.

To find it, you can do anything you want to either side of the problem, as long as
you do exactly the same thing to the other side too. With that ability, here's how
to 'figure out the problem', and find the answer:

The original problem: 3x + 8 = 26 + x

Subtract 8 from each side:

3x = 18 + x

Subtract 'x' from each side:

2x = 18

Divide each side by 2 :

x = 9 .

That's what the answer looks like, and that's what the answer is.

' 9 ' is the ONLY number you can write in place of 'x' in the problem,
and have the problem read true.

I'll show you what I mean. Let's take the original problem

 3x + 8 = 26 + x

and let's write ' 2 ' wherever we see 'x' :

3 (2) + 8 = 26 + 2

3 (2) means 3 times 2, and that's 6 .
So now we have

6 + 8 = 26 + 2

Do the addition on each side, and we have

14 = 28 .

That's nonsense. 14 is not equal to 28 . The reason that happened
is because we put the wrong number in place of 'x' . When we put the
correct number in place of 'x', the left side will be equal to the right side.
To 'figure out the problem' means to find out what that number must be.
For this particular problem, it's 9 .

7 0

3 years ago

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