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natima [27]
2 years ago
10

How many solutions are there to an inequality?

Mathematics
1 answer:
zhenek [66]2 years ago
6 0

Answer: 3

Step-by-step explanation: There can be none, one, or infinite solutions. Therefore there can be up to three possible solutions to an inequality.

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What are the vertex, focus, and directrix of the parabola with the equation x2+8x+4y+4=0
Novay_Z [31]
<span>x2 +8x +4y +4 = 0
</span>4y=<span> -x2 -8x -4</span>y = -.25*x^2 -2x -1
a = -.25b = -2c = -1
x position of vertex:
h = -b / 2a
h = 2 / 2*-.25h = 2 / -.5h = -4
y position of vertex:
k = ah^2 + bh + ck = -.25*-4^2 + -2*-4 + -1k = -4 +8 -1k = 3
VERTEX = (-4, 3)**************************************************************************
x value of focus =x value of vertex = -4
y value of focus =(1 (-b^2 -4ac)) / 4a

a = -.25 b = -2 c =-1
y value = (1 (-4 -4*-.25*-1)) / 4*-.25
y value = (1 (-4 -4*-.25*-1)) / -1
y value = (1 -4 +1) / -1y value = (-2 / -1)y value = 2
focus value = (-4, 2)
Answer is the last one.

7 0
3 years ago
What is the prime factorization of 81m^2 x^3? A) 9^2 • m^2 • x^3 B) 3^3 • m^2 • x^3 C) 3^3 • m • x D) 3^4 • m^2 • x^3
Diano4ka-milaya [45]

81m^2x^3=3^4\cdot m^2\cdot x^3\to\boxed{D.}

8 0
3 years ago
Find the exact value of x.
Tom [10]

Answer:

7\sqrt{2} or 9.89

Step-by-step explanation:

sin45= \frac{7}{x}

x=\frac{7}{sin 45}

x= 7\sqrt{2} or 9.89

4 0
3 years ago
Read 2 more answers
What property does the statement show? (4x8)x3=(8x4)x3
8090 [49]
Why not? Because every math system you've ever worked with has obeyed these properties! You have never dealt with a system where a×b did not in fact equal b×a, for instance, or where (a×b)×c did not equal a×(b×c). Which is why the properties probably seem somewhat pointless to you. Don't worry about their "relevance" for now; just make sure you can keep the properties straight so you can pass the next test. The lesson below explains how I kept track of the properties.
6 0
3 years ago
A furniture shop sells sofas for $680. If the shop wanted to offer the lower price of $540, what rate of markdown would it have
solmaris [256]

Answer:

down in rate = 680-540 = 140

% change = 140*100/680 = 20.58%

6 0
2 years ago
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