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3 years ago

9

How to graph y=3x -3/4

1 answer:

VikaD [51]3 years ago

3 0

Just find X and Y intercept and make the graph ....
this will help you

You might be interested in

Find two vectors in R2 with Euclidian Norm 1<br> whoseEuclidian inner product with (3,1) is zero.

alina1380 [7]

Answer:

$v_1=(\frac{1}{10},-\frac{3}{10})$

$v_2=(-\frac{1}{10},\frac{3}{10})$

Step-by-step explanation:

First we define two generic vectors in our $\mathbb{R}^2$ space:

$v_1 = (x_1,y_1)$
$v_2 = (x_2,y_2)$

By definition we know that Euclidean norm on an 2-dimensional Euclidean space $\mathbb{R}^2$ is:

$\left \| v \right \|= \sqrt{x^2+y^2}$

Also we know that the inner product in $\mathbb{R}^2$ space is defined as:

$v_1 \bullet v_2 = (x_1,y_1) \bullet(x_2,y_2)= x_1x_2+y_1y_2$

So as first condition we have that both two vectors have Euclidian Norm 1, that is:

$\left \| v_1 \right \|= \sqrt{x^2+y^2}=1$

and

$\left \| v_2 \right \|= \sqrt{x^2+y^2}=1$

As second condition we have that:

$v_1 \bullet (3,1) = (x_1,y_1) \bullet(3,1)= 3x_1+y_1=0$

$v_2 \bullet (3,1) = (x_2,y_2) \bullet(3,1)= 3x_2+y_2=0$

Which is the same:

$y_1=-3x_1\\y_2=-3x_2$

Replacing the second condition on the first condition we have:

$\sqrt{x_1^2+y_1^2}=1 \\\left | x_1^2+y_1^2 \right |=1 \\\left | x_1^2+(-3x_1)^2 \right |=1 \\\left | x_1^2+9x_1^2 \right |=1 \\\left | 10x_1^2 \right |=1 \\x_1^2= \frac{1}{10}$

Since $x_1^2= \frac{1}{10}$ we have two posible solutions, $x_1=\frac{1}{10}$ or $x_1=-\frac{1}{10}$ . If we choose $x_1=\frac{1}{10}$ , we can choose next the other solution for $x_2$ .

Remembering,

$y_1=-3x_1\\y_2=-3x_2$

The two vectors we are looking for are:

$v_1=(\frac{1}{10},-\frac{3}{10})\\v_2=(-\frac{1}{10},\frac{3}{10})$

5 0

3 years ago

Sara has $150 in her savings account. The amount in her account increases by %6 every year. If she does not put more money into

strojnjashka [21]

Answer:

$159

Step-by-step explanation:

we know that

The equation of a exponential growth function is equal to

$y=a(1+r)^x$

where

y is the balance in the saving account

x is the number of years

a is the initial amount

r is the percent rate of change

we have

$a=\$150\\r=6\%=6/100=0.06$

substitute

$y=150(1+0.06)^x$

$y=150(1.06)^x$

For x= 1 year

substitute

$y=150(1.06)^1=\$159$

3 0

4 years ago

Hey Again Ya'll but what is 0.38 × ( 1 4 ) × 3 × (−8)

lubasha [3.4K]

Answer:

6 3/8 - 9 5/8 = 27

4

= 63

4

= 6.75

Step-by-step explanation:

4 0

3 years ago

I need help with Function Operations please

Alex787 [66]

Answer:

30

Step-by-step explanation:

The ring operator signifies a composition of functions. The composition is evaluated right-to-left. That means the composition ...

$(f\circ g)(x)$

should be interpreted to mean ...

$f(g(x))$

___

To evaluate f(g(6)), we first evaluate g(6):

g(6) = 6² -5 = 31

Then we evaluate the function f using that as its argument:

f(31) = 31 -1 = 30

f(g(x)) = 30

3 0

2 years ago

Dozen means 12 right?

erastovalidia [21]

Yes and half a dozen is 6

4 0

3 years ago

Read 2 more answers