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3 years ago

What is the graph of the linear inequality y≤−3x+4?

Mathematics

1 answer:

tatiyna3 years ago

5 0

Answer:

It would look like the picture I attached at the bottom.

Step-by-step explanation:

We know that the slope is -3 and the y intercept is (0,4) (plugging in 0 for x will get you that point), and then you can just graph an equation like you normally would, using rise/run to go down 3 units for every one unit you go right, and plugging in easy x values to check your work.

It gets a little tricky because the question then adds the inequality, and we see that y is now less than <em>or equal to </em>the original equation.

Since it is less than, we can shade all the values below the graph.

(Also, you should probably note for future reference that if it was just less than, the shading would look the same while the graph itself would be dotted because the values on the line are nor included in the solution set).

Desmos is a great website to use if you're having trouble graphing in the future :)

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Solving equations and distributive property

Tomtit [17]

Answer:

x=20

Step-by-step explanation:

2(x+10)=60

distribute 2 by multiplying numbers in parenthesis

2x+20=60

subtract 20 from both sides

2x=40

divide both sides by 2

----------

x=20

----------

4 0

3 years ago

26) Hailey is 3 times as old as Maverick.

Dahasolnce [82]

Let H = Hailey's age and M = Maverick

Hailey is 3 times as old as Maverick: H = 3M

The sum of their ages is 48 years: H + M = 48

Since H = 3M, substitute 3M in place of H in the second equation:

H + M = 48

3M + M = 48

4M = 48

M = 12

Maverick is 12 years old. Hailey = 3M = 3(12) = 36 years old.

5 0

3 years ago

Read 2 more answers

A ski hat is priced at 19.50 and a pair of ski boots are priced at 85.50. If the sales tax rate is 7%, then what is the total co

m_a_m_a [10]

Answer:

The total cost of the ski hat and the ski boots is $112.35.

Step-by-step explanation:

First, we need to add the prices of the ski hat and the ski boots.

85.50 + 19.50 = $105

Now, we need to find 7% of $105, and then add it to the total.

105 x 0.07 = $7.35

105 + 7.35 = $112.35

Therefore, the total cost of the ski hat and the ski boots is $112.35.

Let me know if this helps!

3 0

3 years ago

Read 2 more answers

I'm doing theoretical probobility. Can you help me with this problem. It says to write it is a fraction, decimal, and a percent.

Alchen [17]

So probability is (disred outcomes) divided by (total possible outomces

so
hearts and clubs are 2 out of 4 total suits and since there are the same number of cards per suit, it simplifies
2=desrired oucomes
4=total possible
2/4=1/2=0.5=50%

answer is 1/2 or 0.5 or 50%

6 0

3 years ago

What is the square root of 5

Ratling [72]

Answer:

The square root of 5 is 2.23, or just 2.

I hope I helped!

Step-by-step explanation:

6 0

3 years ago