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Dmitry [639]
2 years ago
9

2. Graph each inequality on a number line: 5x + 15 < 0

Mathematics
1 answer:
Georgia [21]2 years ago
3 0

Answer:

x < -3

Step-by-step explanation:

1. To put this inequality on a number line, we first must solve it.

Step 1: Subtract 15 from both sides.

  • 5x + 15 - 15 < 0 - 15
  • 5x < -15  

Step 2: Divide both sides by 5.

  • \frac{5x}{5}
  • x < -3

2. Now that we know x < -3, let's graph it!

  • Since it's less than, we make the number line point to the left, and we make the circle open.

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Find the volume of a pyramid with a square base, where the perimeter of the base is
Liula [17]

Answer:

  33.4 m^3

Step-by-step explanation:

The edge length of the base is 1/4 of the perimeter, so is ...

  (10.3 m)/4 = 2.575 m

Then the area of the base is the square of this, or ...

  B = (2.575 m)^2 = 6.630625 m^2

The volume is ...

  V = (1/3)Bh = (1/3)(6.630625 m^2)(15.1 m) ≈ 33.4 m^3

The volume of the pyramid is about 33.4 cubic meters.

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3 years ago
A function ,f, is defined by the set {(2,3), (4,7), (-1,5)}. if f is reflected in the line y=x, which point will be in the refle
kotykmax [81]

Answer:

the answer is d

Step-by-step explanation:

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2 years ago
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Which is (49x-16)^2
5 0
3 years ago
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Solve for x.<br> x2 + 8x + 15 = 0
likoan [24]

Answer: x=−3 or x=−5

Step-by-step explanation:

Step 1: Factor left side of equation.

(x+3)(x+5)=0

Step 2: Set factors equal to 0.

x+3=0 or x+5=0

x=−3 or x=−5

7 0
3 years ago
Choose the correct zeros for the following quadratic function.
sesenic [268]

Answer:

c

Step-by-step explanation:

x^2+5x-14

factor by finding multiples of (-14) that add up to 5

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So the factored out equation is (x+7)(x-2)

Therefore the solutions are x=-7 and x=2

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3 years ago
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