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3 years ago

What is the linear inequality that represents the graph shown?

Mathematics

2 answers:

Orlov [11]3 years ago

7 0

Answer:

y<-1/3x+3

Step-by-step explanation:

The slope of this graph is -1/3 (If I read the graph correctly), from points (-3,4) and (0,3).

The graph is a y-intercept of 3, because it crosses the y-axis at 3, (0,3).

To find whether this statement is true or not, you can plug in a random point from the shaded area and test that point. (I like to use the origin, (0,0))

(0)>-1/3(0)+3 (0)<-1/3(0)+3

0>0+3 (0)<+3

0>3 0<3

The one to the right, 0<3, is true so the sign is a less than sign.

Also make sure that the line either makes a less than/ less than or equal to sign. Because the line is dashed, it makes a less than sign.

Neporo4naja [7]3 years ago

4 0

Answer:2/4

Step-by-step explanation:

In ΔVWX, the measure of ∠X=90°, the measure of ∠W=9°, and WX = 8.7 feet. Find the length of XV to the nearest tenth of a foot.

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3 years ago

Write an equation that represents the following word problem. Jackie has four more apples than Mark and together they have twelv

Vesnalui [34]

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also jackie has 8 apples and mark has 4 apples

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3 years ago

Call an integer $n$ oddly powerful if there exist positive integers $a$ and $b$, where $b>1$, $b$ is odd, and $a^b = n$. How

azamat

Answer:

There are 16 oddly powerful integers less than 2010

Step-by-step explanation:

∵ b is an odd integer

∵ b > 1

∴ The first value of b is 3

∵ a is an integer

- We can use a = 1, 2, 3, ..........

∵ $a^{b}=n$

∵ n < 2010

- Let a = 1, 2, ............... 12 because 12³ is greatest integer < 2010

∵ 1³ = 1, 2³ = 8, 3³ = 27, 4³ = 64, 5³ = 125, 6³ = 216, 7³ = 343,

8³ = 512, 9³ = 729, 10³ = 1000, 11³ = 1331, 12³ = 1728

∴ There are 12 oddly powerful integers with b = 3

Now the second value of b is 5

$1^{5}=1$ but we took 1 before so we will start with 2

∵ $2^{5}=32$ , $3^{5}=243$ , $4^{5}=1024$

- $4^{5}$ is the greatest integer < 2010

∴ There are 3 oddly powerful integers with b = 5

Now the third value of b is 7

∵ $2^{7}=128$

- $2^{7}$ is the greatest integer < 2010

∴ There is 1 oddly powerful integers with b = 7

Now the fourth value of b is 9

∵ $2^{9}=512$

- $2^{9}$ is the greatest integer < 2010

- But we used 512 before

∴ There is no oddly powerful integers with b = 9

- 9 is the greatest value of b which makes $a^{b}$

∵ 12 + 3 + 1 = 16

∴ There are 16 oddly powerful integers less than 2010

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3 years ago

What is the linear inequality that represents the graph shown?​

What is the linear inequality that represents the graph shown?