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adell [148]
4 years ago
6

For the following inequality, indicate whether the boundary line should be dashed or solid. x + y < 2

Mathematics
2 answers:
Pachacha [2.7K]4 years ago
6 0

Answer:

Its going to be solid...

Step-by-step explanation:

If the < then sign had a line underneath it then it is dashed but if it does not then its solid!..I love u

Anna35 [415]4 years ago
3 0

Answer:  First option is correct.

Step-by-step explanation:

Since we have given that

The inequality as follows :

x+y

There are two conditions to show the boundary lines:

1) Dashed line

2) Solid line

If the equation is ax+by\leq c then, the boundary line should be solid since the inequality hold equal sign too.

If the equation is ax+by, then the boundary line should be dashed since there is given strictly inequality.

So, in our case we have given that

x+y

There is no equality, so the boundary line should be dashed.

Hence, First option is correct.

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Pls help<br><br> Find the surface area of the composite figure.
Dmitry [639]

Answer:

644 cm³

Step-by-step explanation:

Surface area of the composite figure = (surface area of the upper cuboid - base area of upper cuboid) + (surface area of the lower cuboid - base area of the upper cuboid)

✔️Surface area of upper cuboid = 2(LW + LH + WH)

L = 3

W = 3

H = 8

Surface area of upper cuboid = 2(3*3 + 3*8 + 3*8) = 2(9 + 24 + 24) = 114 cm²

✔️Surface area of Surface area of lower cuboid = 2(LW + LH + WH)

L = 12

W = 10

H = 7

Surface area of lower cuboid = 2(12*10 + 12*7 + 10*7) = 2(120 + 84 + 70) = 548 cm²

✔️Base area of upper cuboid = L*W

L = 3

W = 3

Base area = 3*3 = 9 cm²

✅Surface area of the composite figure = (114 - 9) + (548 - 9) = 105 + 539 = 644 cm³

6 0
3 years ago
How many liters each of a 10% acid solution and a 80% acid solution must be used to produce 70 liters of a 65% acid solution?
stealth61 [152]
Assume you need x liters 10% acid, y liters 80% acid

Then 10%x + 80%y = 65%*70, and x+y = 70

I get: x = 15, y = 55

4 0
3 years ago
If f(x) = 3x - 12, what is f(2)?<br> -6<br> -18<br> 18<br> 6
dusya [7]

Answer: -6

Explanation: In this problem, we're given the function f(x) = 3x - 12 and we're asked to find f(2).

To find f(2) or the value of the function when <em>x </em>equals 0, we simply substitute 2 in for <em>x</em> in our function. So we have f(x) = 3(2) - 12 or 6 - 12 which equals -6.

So f(2) or the value of the function when <em>x </em>equals 2 is -6.

4 0
3 years ago
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Len [333]

Answer:

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4 0
4 years ago
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What value of x makes the equation − 1 3 x + 6 = − 6 + 2 3 x true?
kkurt [141]

Answer:

4

Step-by-step explanation:

8 0
3 years ago
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