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1 year ago

The One-to-One Property of natural logarithms states that if ln x = ln y, then _____

Mathematics

1 answer:

MrRissso [65]1 year ago

4 0

Answer:

x=y

Step-by-step explanation:

There is exactly one value of x for a value of the function by the one-to-one property.

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The expression x4 + 6x3 – 11x2 – 60x + 100 is equivalent to (x – 2)(x – 2)(x + 5)(x + 5). At what points does the graph of the f

nikdorinn [45]

Since y equals the product of the factors, any value for x which makes any factor equal to zero is a point where the graph touches the x-axis.

x=-5 and 2 (technically the points (-5,0) and (2,0))

6 0

2 years ago

Read 2 more answers

The length if Marshall's rectangular poster is 2 times its width.If the perimeter is 24 inches, what is the area of the poster.

4vir4ik [10]

Length=2x
width=x
Perimeter of a rectangle=2(lenght)+2(width)

The first is to find out the measures of this rectangle, that is to say, you have to find the length and width of these rectangle.

We can suggest this equation:
24=2(2x)+2(x)
4x+2x=24
6x=24
x=24/6
x=4

2x=2(4)=8

The lenght will be 8 in, and the length will be 4 in.

The second; you have to calculate the area of this rectangle.
area of a rectangle= lenght x width

area=(8 in)(4 in)=32 in²

answer: the area of Marshall´s rectangular poster would be 32 in²

4 0

2 years ago

Make x the subject of the following relations. 2y+3=5x-18

nekit [7.7K]

Step-by-step explanation:

2y+3=5x-18

swap both sides

5x-18=2y+3

add 18 to both sides

5x-18+18=2y+3+18

5x=2y+21

divide both sides by

5x/5=2y+21/5

X=2y+21/5

6 0

2 years ago

The ordered array below represents the number of cargo manifests approved by customs inspectors of the Port of New York in a sam

Lapatulllka [165]

Answer:

the third quartile of the customs data is 27

Step-by-step explanation:

For the third quartile, we should first find upper half of the data and then the median of the upper half.

lower half: 16, 17, 18, 18, 19, 20, 20, 21, 21, 21, 22, 22, 22, 22, 23, 23, 23,

median: 23

upper half: 24, 24, 24, 25, 25, 26, 26, 26, 27, 28, 28, 29, 29, 31, 31, 32, 32

Middle value (median) of the upper half is: 27 since 8 of the values are lower than 27 and 8 of the values are higher than 27.

7 0

2 years ago

Which is the factorization of 8x2 13x – 6? (8x – 3)(x 2) (x – 6)(8x 1) (2x – 2)(4x 3) (4x – 1)(2x 6)

vagabundo [1.1K]

we have

$8x^2+13x - 6$

Equate the function to zero

$8x^2+13x - 6=0$

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$8x^2+13x = 6$

Factor the leading coefficient

$8(x^2+\frac{13}{8}x) = 6$

Complete the square. Remember to balance the equation by adding the same constants to each side.

$8(x^2+\frac{13}{8}x) = 6$

$8(x^2+\frac{13}{8}x+\frac{169}{256}) = 6 +\frac{169}{32} \\ \\ 8(x+\frac{13}{16} )^{2} =\frac{361}{32} \\ \\ (x+\frac{13}{16} )^{2} =\frac{361}{256}\\ \\ (x+\frac{13}{16} ) =(+/-)\sqrt{\frac{361}{256}} \\ \\ (x+\frac{13}{16} ) =(+/-)\frac{19}{16} \\ \\ x1=-\frac{13}{16} +\frac{19}{16} =\frac{6}{16}\\ \\ x2=-\frac{13}{16} -\frac{19}{16}=-2$

the factorization is equal to

$8*(x-\frac{6}{16} )*(x+2)=(8x-3)*(x+2)$

therefore

<u>the answer is</u>

$(8x-3)*(x+2)$

3 0

2 years ago

Read 2 more answers