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Marina CMI [18]
3 years ago
11

Write an inequality, in slope-intercept form, for the graph below. If necessary,

Mathematics
1 answer:
Rama09 [41]3 years ago
8 0

Given:

The graph of an inequality.

To find:

The inequality in slope intercept form.

Solution:

The slope intercept form is:

y=mx+b

Where, m is slope and b is y-intercept.

From the given graph it is clear that the boundary line passes through the points (-3,0) and (0,-3).

y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)

y-0=\dfrac{-3-0}{0-(-3)}(x-(-3))

y=\dfrac{-3}{3}(x+3)

y=-1(x+3)

y=-x-3

From the given graph it is clear that the boundary line is a solid line and the shaded region lies above the line, so the sign of inequality must be "≥".

y\geq -x-3

Therefore, the required inequality is y\geq -x-3.

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Bamboo Plant A is 1.2 meters tall and growing at a rate of 0.45 meter per day. Bamboo Plant B is 0.85 meter tall and growing 0.5
pashok25 [27]

Answer:

7 days

Step-by-step explanation:

Bamboo plant A = 1.2 + 0.45d

Bamboo plant B = 0.85 + 0.5d

Where,

d = number of days

Equate the two growth

Bamboo plant A = Bamboo plant B

1.2 + 0.45d = 0.85 + 0.5d

Collect like terms

1.2 - 0.85 = 0.5d - 0.45d

0.35 = 0.05d

Divide both sides by 0.05

d = 0.35 / 0.05

d = 7 days

Plant B be taller than Plant A after 7 days

3 0
2 years ago
Which transformation moves all points the same distance in the same direction?
Lesechka [4]

Answer:

In a translation, ALL of the points move the same distance in the same direction. A translation is called a rigid transformation or isometry because the image is the same size and shape as the pre-image.

Step-by-step explanation:

5 0
2 years ago
I need help! who ever get this right and explain nicely then I make you brainlist.
Lelechka [254]

Answer:

1. 64

2. 72 square feet

3. 31.5 square feet

Step-by-step explanation:

For the first one use the equation A=bh.

Plug in your values: A=12.8*5.

Solve: A=64

For the second one multiply 8*3 which gives you 24. Next multiply that by 3 to give you 72 square feet.

For the third one multiply 9 by 3.5 to get 31.5 square feet.

5 0
2 years ago
Find the distance between the parallel lines m and n whose equations are
MA_775_DIABLO [31]

Answer:Find the distance between the parallel lines m and n whose equations are y = x + 4 and y = x - 6, respectively.

There are several ways to do this...here's one

Let (0, 4) be a point on the first line

Then.......a line with a negative reciprocal slope going through this point will have the equation :

y = -x + 4........so......we can find the intersection of this line with y = x - 6....set both equations equal

-x + 4  = x - 6   add x, 6 to both sides

10 = 2x     divide both sides by 2

5  = x

So...using -x + 4, the y value  at intersection  = -1.......

So...we just need to find the distance from  (0,4)  to ( 5, -1)  =

√[ (5)^2 + (4 + 1)^2 ] =  5√2  ≈  7.07 units

Here's a pic....AB is the distance  with A = (0,4)  and B = (5, -1)

Step-by-step explanation:

8 0
3 years ago
) Multiply. What is the product <br>(3 x 10^9) * (2 x 10^17) in scientific notation?​
Tasya [4]

Answer:

6 ×10^26

hope it helped

have a good day mate

4 0
2 years ago
Read 2 more answers
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