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3 years ago

Could anybody give me some help? I'm a little confused .-. <3

1 answer:

3 0

What your teacher wants is for you to isolate y in the given equation. In other words, get y all by itself.

To do this, you'll do two basic steps:
Step 1) Subtract 2x from both sides
Step 2) Divide both sides by 3

Let's do that and we get...
2x+3y = 1470
2x+3y-2x = 1470-2x ... apply step 1
3y = 1470-2x
3y = -2x+1470
3y/3 = (-2x+1470)/3 ... apply step 2
y = (-2x)/3 + 1470/3
y = (-2/3)x + 490

After isolating y, we get y = (-2/3)x + 490
To get this into function notation, we simply replace y with f(x) to get the final answer f(x) = (-2/3)x+490 which is the same as writing $f(x) = -\frac{2}{3}x+490$

This graph represents all of the ordered pairs (x,y) that make the original equation true. For example, the point (x,y) = (0,490) is on the line where x = 0 and y = 490. This point is when 0 sandwiches are sold and 490 wraps are sold yielding a profit of $1470. Another point on this line is (x,y) = (3,488). Now 3 sandwiches have been sold along with 488 wraps leading to the same profit of $1470. Any ordered pair point you pick on the line should lead you to the same profit.

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Question 1 (5 points): Consider the system of linear equations x1 − 4x2 − x4 = −7 x2 − 2x4 = 3 x4 + 2x5 = 3 (a) Write down the c

Alika [10]

Answer:

Step-by-step explanation:

Given is a system of equations as

$x1-4x2 - x4 = -7\\ \\x2 - 2x4 = 3 \\\\x4 + 2x5 = 3$

We have 5 variables and 3 equations

a) coefficient matrix of this system is

1 -4 0 -1 0\\

0 1 0 -2 0\\

0 0 0 1 2\\

We find that x3 has no coefficient in any of the equations so we can omit x3 and write as equations for 4 variables as

1 -4 -1 0\\

0 1 -2 0\\

0 0 1 2\\

b) Augmented matrix is

1 -4 -1 0\\ 7

0 1 -2 0\\ 3

0 0 1 2\\3

c) For row operations to ehelon form

we can do R1+4R2 = R1

We get

1 0 -9 0 \\ 19

0 1 -2 0 \\ 3

0 0 1 2 \\ 3

Now let us do R1 = R1+9R3 and R2 = R2+2R3

1 0 0 0 \\ 46

0 1 0 0 \\ 9

0 0 1 2 \\ 3

d) We find that there are infinite solutions to the system in parametric form, since x4 and x5 are linked with only one equation

e) x1 = 46, x2 = 9, x4+2x5 =3

Or x1 =46, x2 =9, x4 = 3-2x5, x5 = x5 is the parametric solution

8 0

4 years ago

Sixty photos taken at a photo shoot are in black and white. If this represents 15 percent of the total number of photos taken, w

Art [367]

Answer:

D. 15×4/100×4 = 60/400

Step-by-step explanation:

First I figured out how many photos there are in total, which was by doing 60/.15, since only 15% of the total photos are in black and white. We can already cross out all possibilities that don't have the denominator 400, but we can go a step further by seeing which one is 60/400, or equal to 60/400, which is D. 15×4/100×4 = 60/400.

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3 years ago

<img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B2%7D%20%20%20%5Cdiv%202%20%2B%202%20%5Cdiv%20%20%5Csqrt%7B2%20%7D%20" id="TexForm

NeX [460]

Answer:

$\frac{3\sqrt{2} }{2}$

Step-by-step explanation:

Given

$\frac{\sqrt{2} }{2}$ + $\frac{2}{\sqrt{2} }$ ← rationalise the denominator by multiplying by $\frac{\sqrt{2} }{\sqrt{2} }$

= $\frac{\sqrt{2} }{2}$ + ( $\frac{2}{\sqrt{2} }$ × $\frac{\sqrt{2} }{\sqrt{2} }$ )

= $\frac{\sqrt{2} }{2}$ + $\frac{2\sqrt{2} }{2}$

= $\frac{3\sqrt{2} }{2}$

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3 years ago

A cone and a cylinder have the same radius and height. The volume of the cone is 100π (pi) cubic feet. What is the volume of the

murzikaleks [220]

Answer:

The volume of the cylinder is $300\pi$ cubic feet.

Step-by-step explanation:

From Geometry we remember that volumes of a cone and a cylinder with the same radius ( $R$ ), measured in feet, and height ( $h$ ), measured in feet, are defined by the following equations: