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MAXImum [283]
3 years ago
13

WILL MARK BRAINLIEST!!!

Mathematics
1 answer:
babymother [125]3 years ago
8 0

Answer: -2

Step-by-step explanation:

To find the slope of the line , we will write the equation in the form:

y = mx + x

where:

m = slope

c = y - intercept.

To write 4x + 2y = 12   in this form , we will make y the subject of the formula.

Subtract 4x from both sides

2y = -4x + 12

Divide through by 2y = -2x + 6

Therefore :

slope = -2

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Plot the following two graphs on the same cartesian plain
gregori [183]

The two functions are 1st degree polynomial, so they are both lines.

In order to draw a line, you have to sample two points and connect them.

To sample points from an equation, choose any value for x and compute the correspondent value for y.

For example, if we choose x=0 and x=1 for the first equation, we have

f(x)=3x-2 \implies f(0)=-2,\quad f(1)=1

So, the line passes through the points (0,-2) and (1,1)

Similarly, if we choose x=0 and x=3 for the first equation, we have

f^{-1}(x)=\dfrac{x}{3}+\dfrac{2}{3} \implies f(0)=\dfrac{2}{3},\quad f(3)=1

So, this line passes through the points \left(0,\frac{2}{3}\right) and (3,1)

If you draw the two points for each line and connect the pairs, you'll have the two lines.

4 0
3 years ago
Brandon has a 55-gallon fish tank. He estimates he can drain the tank at an average rate of 11 gallons per minute. In a linear m
Zepler [3.9K]

Answer:

  55 gallons, the initial quantity of water in the tank

Step-by-step explanation:

Y is defined as the amount of water in the tank. When X (the number of minutes spent draining) is zero, no water has left the tank. So, the Y-intercept is the initial amount of water in the tank, 55 gallons.

5 0
3 years ago
Find the area of the given figure.<br> show your work please!
ICE Princess25 [194]

Answer:

30.3m^2

Step-by-step explanation:

I started off by finding the area of the semi circle. The formula πr^2 divided by 2. The radius of the circle is 2 because it is half of the diameter which is 4. So π(2)^2 divided by 2 is 6.3.

Next I broke apart the the shape into a rectangle and a triangle for simplicity sake.  So doing this I had to know where to cut and if you look at the top of the figure it shows 2m for the length at the top. So I put a vertical line there. Thus changing the 10m on the bottom to a 8m section and a 2m section. So the rectangle's area will be the length times the height which is 2x4=8.

The triangle's area can be found with the equation BH/2 and we the 8 base we found and a height of 4 it is 8x4/2. Which ends up as 16.

Finally you add up all three area's that you found 8+16+6.3=30.3

6 0
3 years ago
The coordinate grid below shows triangle ABC and its image after translation, triangle A'B'C': BY C' 7 B 6 2 A 3= + 2 -7-6-5-4-3
ra1l [238]

Answer: y+3

Step-by-step explanation: I'm taking the test rn

7 0
3 years ago
The perimeter of rectangle is 16 and 6 in. Find the value a
lbvjy [14]

Answer: I think the value is 44.

Step-by-step explanation:

4 0
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