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labwork [276]
2 years ago
14

Graph the solution if the this inequality 4/9x-10>x/3-12

Mathematics
1 answer:
cupoosta [38]2 years ago
4 0

You want to isolate the x-term from the constant term, so you can subtract x/3 and add 10. This gives you

... 4/9x -10 -x/3 +10 > x/3 -12 -x/3 +10

... 1/9x > -2 . . . . . . collect terms

Now, you can multiply by 9 to see the condition on x.

... 9(1/9x) > -2(9)

... x > -18


On the x-y plane, the graph of this will be a dashed line at x=-18, and the half-plane to the right of that line will be shaded.


On a number line, there will be an open circle at x=-18, and the number line to the right of that circle will be marked (bold, colored, shaded, whatever).

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In​ basketball, some baskets are worth two points. Others are worth three points. In one​ game, the ratio of​ three-point basket
fgiga [73]

Answer:

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Step-by-step explanation:

7 0
2 years ago
Write a formula that will yield the nth term of the sequence: 3,-2,-7,-12
RUDIKE [14]

Answer:

-5n + 8

Step-by-step explanation:

<u>1. What is the difference?</u>

  The sequence goes down by 5. This means that the formula will have -5n in it.

<u>2. Work out the term before the first term.</u>

    The first term is 3, and we know that the sequence goes up by 5. So, to get the term before 3 we would add 5.

3 + 5 = 8   Remember, this is positive 8. (+8)

<u>3. Put that term at the end of the equation. </u>

   We have -5n already and we just worked out the term before the first one which is positive 8 - so put that at the end of the equation.

-5n + 8  This is our answer!

Just to prove it works:

<em>Substitute:   n = term</em>

Lets see if we can get the 3rd term which is -7. (n = 3)

-5(3) + 8

-15 + 8 = -7

See, it works!

8 0
3 years ago
Mr. Hunt took Mrs. Hunt out to the movies. The tickets cost $18 for both, the popcorn was $7.50 and they shared a $5.25 drink. H
tresset_1 [31]

Answer:

their night cost them $33.21

Step-by-step explanation:

7 0
3 years ago
(1 point) The length of an insect (L, in mm) is a function of the temperature during development (T , measured in ∘C according t
lawyer [7]

Answer:

M(T)=1.1(7(8+T^{10})^{3}) and M(T)=1.1(7(8+22^{10})^{3})=1.44\time10^{41}

Step-by-step explanation:

We have the next set of functions:

L(T)=8+T^{10}

V(L)=7L^{3}

M(V)=1.1V

We want to know M(T) then:

M(V)=1.1V but we know that V(L)=7L^{3}:

M(L)=1.1(7L^{3}) and we know that L(T)=8+T^{10}

M(T)=1.1(7(8+T^{10})^{3})

Finally using the value of 22º we have

M(T)=1.1(7(8+22^{10})^{3})=1.44\time10^{41}

3 0
3 years ago
If the sum of interior angles measures of a polygon is 720 degrees, how many sides does the polygon have?
Alenkasestr [34]

Answer:

6

Step-by-step explanation:

The ASP of a hexagon is 720 degrees

3 0
2 years ago
Read 2 more answers
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