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3 years ago

Which is the graph of y ≤ 1 – 3x?

1 answer:

34kurt3 years ago

4 0

It’s the first one because when you have a line under the inequality it’s always going to be a solid line and since it’s negative it’s shaded below.

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Help plz i dont undertand

lora16 [44]

Answers:

x = 4
AB = 36
BC = 36
AC = 36

All three sides are 36 units long.

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Explanation:

Triangle ABC is equilateral, so all three sides are the same length.

Pick any two of those sides, set them equal to each other, and solve for x

AB = BC

8x+4 = 11x-8

8x-11x = -8-4

-3x = -12

x = -12/(-3)

x = 4

Use this x value to find each side. We should get the same value (if not, then an error occurred in solving for x).

AB = 8x+4 = 8*4+4 = 32+4 = 36
BC = 11x-8 = 11*4-8 = 44-8 = 36
AC = 9x = 9*4 = 36

We get the same value for the three side lengths, so this confirms we have the correct x value.

7 0

2 years ago

The number of species of coastal dune plants in australia decreases as the latitude, in °s, increases. There are 34 species at 1

Bas_tet [7]

We have been given that the number of species of coastal dune plants in Australia decreases as the latitude, in °s, increases.

Further we know that there are 34 species at 11°s and 26 species at 44°s.

We can express the given information at two ordered pairs as shown below:

$(n,l)=(11,34)\text{ and }(n,l)=(44,26)$

Let us find slope of the line through these points:

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{26-34}{44-11}=\frac{-8}{33}=-0.2424$

Therefore, we can write the equation of line in slope intercept form as:

$n=-0.2424l+b$

Where b is the y intercept, and we can find its value using one of the two points.

$34=-0.2424(11)+b\\34=-2.67+b\\b=34+2.67=36.67$

Therefore, the required equation of the linear function is:

$n=-0.2424l+36.67$

4 0

3 years ago

What is the image of (-9,0) after a reflection over the line y=x

SpyIntel [72]

Answer:

(0,-9)

Step-by-step explanation:

The image of a point $(x,y)$ over a line $y=x$ is given by the co-ordinate rule:

$(x,y)$ → $(y,x)$

So, when we reflect a point over the line $y=x$ , the x co-ordinate and y co-ordinate change their places.

Here, $(x,y)$ is $(-9,0)$ . So, from the above rule, after reflection over the line $y=x$ , the image has the following co-ordinates:

$(0,-9)$

4 0

3 years ago

Rearrange the standard form of the equation below into y = mx + b by isolating y. <br> 5x − 2y = 6

Minchanka [31]

Answer:

y = $\frac{5}{2}$ x - 3

Step-by-step explanation:

5x - 2y = 6 ( subtract 5x from both sides )

- 2y = - 5x + 6 ( divide through by - 2 )

y = $\frac{5}{2}$ x - 3 ← in slope- intercept form

5 0

2 years ago

3/7 - 10/7 Write fractions in simplest form

8_murik_8 [283]

<span>3/7 - 10/7
= - 7/7
= -1

answer
-1</span>

3 0

3 years ago