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amm1812
3 years ago
13

Select the solution(s) of log2x=1−log(x+4).

Mathematics
1 answer:
mart [117]3 years ago
7 0

Step-by-step explanation:

log2x = 1 - log(x+4)

log2x = log10 - log(x+4)

log2x = log[10/(x+4)]

2x = 10/(x+4)

2x(x+4) = 10

2x² + 8x - 10 = 0

÷2 both sides of equation

x² + 4x - 5 = 0

(x+5)(x-1) = 0

x = -5, 1

x isn't be -5 because logA, A need to be > 0

So, x value is 1

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Plastic toy with a mass of 18 grams occupies 9.0cm3 of space its density is
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Answer:

c) 2.0 g/cm³

Step-by-step explanation:

The units of density (g/cm³) tell you to divide the mass by the volume.

... (18 g)/(9.0 cm³) = (18/9.0) g/cm² = 2.0 g/cm³

8 0
4 years ago
The directrix and vertex of a parabola are shown on the graph. What is the vertex form of the equation for the associated parabo
tresset_1 [31]

Considering the directrix and vertex given in the graph, the equation of the parabola is:

B. x = -\frac{1}{4}(y + 2)^2 - 2

<h3>What is the equation of a parabola given it’s vertex?</h3>

The equation of a quadratic function, of vertex (h,k), is given by:

(y - k)² = 4p(x - h).

In which the directrix is the line x = h - p.

Looking at the graph, we have that:

  • The vertex is (-2,-2), hence h = k = -2.
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Thus the equation is:

(y + 2)² = -4(x + 2).

Writing x as a function of y:

B. x = -\frac{1}{4}(y + 2)^2 - 2

More can be learned about the equation of a parabola at brainly.com/question/17987697

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8 0
2 years ago
Answer pls I will give b
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I will. Not be in this
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3 years ago
What is the range of the function f(x)=3|2x-4|+5
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