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3 years ago

Which is the graph of x-4y=4

Mathematics

2 answers:

alex41 [277]3 years ago

6 0

Your slope intercept form of this equation is : y= 1/4x-1. Which is the second graph

serg [7]3 years ago

5 0

Graph A is correct because the slope goes through -4 on the y axis

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A rectangle is 3 1/3 ft long and 2 1/3 feet wide. What is the distance around the rectangle?

Sonja [21]

3 1/3= 10/3
2 1/3= 7/3
7/3 + 10/3= 17/3
17/3 (2)+ 34/3
34/3= 11 1/3
final answer = 11 1/3

8 0

3 years ago

Read 2 more answers

4, 5, 3, 3, 1, 2, 3, 2, 4, 8, 2, 4, 4, 5, 2, 3, 6,2

Anna007 [38]

Answer:

Given data:

4, 5, 3, 3, 1, 2, 3, 2, 4, 8, 2, 4, 4, 5, 2, 3, 6,2

Put the data in the ascending order:

1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 6, 8

Mean, the average:

(1 + 2*5 + 3*4 + 4*4 + 5*2 + 6 + 8)/18 = 3.5

Median, average of middle two numbers:

Mode, the most repeated number:

2 (repeated 5 times)

Mean is normally the best measure of central tendency, same applies to this data.

6 0

2 years ago

Read 2 more answers

4x - 3 < 17. Solve for x.

Andru [333]

Answer:

Step-by-step explanation:

Subtract 17 by 3, and then you get 14, multiply 4 times 3 2/3 which gives you 14 with a fraction 2/3 so the answer is c

5 0

2 years ago

Judy pays $29 for 8 gallons of gas and 2 bottles of water. Carmen pays $45 for 12 gallons of gas and 4 bottles of water. How muc

Dmitry [639]

G=gas
w=bottle of water

8g + 2w = 29
12g + 4w = 45
I'm going to use elimination to cancel out the variable w by multiplying the first equation by -2.

-16g - 4w = -58
12g + 4w = 45
-4g = -13
/-4 /-4
g = 3.25

Now plug it into an equation, any equation.
8 (3.25) + 2w = 29
26 +2w=29
w=1.5
Now to check, plug it into both equations if you want.

12 (3.25) + 4 (1.5)=45
39 + 6=45

One bottle of water is $1.50, while one gallon of gas is $3.25.

5 0

3 years ago

Marine biologists have determined that when a shark detectsthe presence of blood in the water, it will swim in the directionin w

siniylev [52]

Solution :

a). The level curves of the function :

$C(x,y) = e^{-(x^2+2y^2)/10^4}$

are actually the curves

$e^{-(x^2+2y^2)/10^4}=k$

where k is a positive constant.

The equation is equivalent to

$x^2+2y^2=K$

$\Rightarrow \frac{x^2}{(\sqrt K)^2}+\frac{y^2}{(\sqrt {K/2})^2}=1, \text{ where}\ K = -10^4 \ln k$

which is a family of ellipses.

We sketch the level curves for K =1,2,3 and 4.

If the shark always swim in the direction of maximum increase of blood concentration, its direction at any point would coincide with the gradient vector.

Then we know the shark's path is perpendicular to the level curves it intersects.

b). We have :

$\triangledown C= \frac{\partial C}{\partial x}i+\frac{\partial C}{\partial y}j$

$\Rightarrow \triangledown C =-\frac{2}{10^4}e^{-(x^2+2y^2)/10^4}(xi+2yj),$ and

$\triangledown C$ points in the direction of most rapid increase in concentration, which means $\triangledown C$ is tangent to the most rapid increase curve.