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Ilya [14]
3 years ago
11

Consider functions f and g.

Mathematics
1 answer:
leonid [27]3 years ago
3 0

Consider functions f and g such that composite g of is defined and is one-one. Are f and g both necessarily one-one. Let f : A → B and g : B → C be two functions such that g o f : A ∴ C is defined. We are given that g of : A → C is one-one.

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galben [10]

Answer:

2•15k

Step-by-step explanation:

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3 years ago
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Divide the decimal 134.55 by the decimal 0.5
lina2011 [118]

Answer:

269.1

Step-by-step explanation:

8 0
3 years ago
Write an equation of the perpendicular bisector of the segment with the endpoints (8,10) and ( -4,2).
ale4655 [162]

Answer:

The required equation is:

y = -\frac{3}{2}x+9

Step-by-step explanation:

To find the equation of a line, the slope and y-intercept is required.

The slope can be found by finding the slope of given line segment. A the perpendicular bisector of a line is perpendicular to the given line, the product of their slopes will be -1 and it will pass through the mid-point of given line segment.

Given points are:

(x_1,y_1) = (8,10)\\(x_2,y_2) = (-4,2)

We will find the slope of given line segment first

m = \frac{y_2-y_1}{x_2-x_1}\\= \frac{2-10}{-4-8}\\=\frac{-8}{-12}\\=\frac{2}{3}

Let m_1 be the slope of perpendicular bisector then,

m.m_1 = -1\\\frac{2}{3}.m_1 = -1\\m_1 = \frac{-3}{2}

Now the mid-point

(x,y) = (\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2})\\= (\frac{8-4}{2} , \frac{10+2}{2})\\=(\frac{4}{2}, \frac{12}{2})\\=(2,6)

We have to find equation of a line with slope -3/2 passing through (2,6)

The equation of line in slope-intercept form is given by:

y = m_1x+b

Putting the value of slope

y= -\frac{3}{2}x+b

Putting the point (2,6) to find the y-intercept

6 = -\frac{3}{2}(2)+b\\6 = -3+b\\b = 6+3 =9

The equation is:

y = -\frac{3}{2}x+9

7 0
3 years ago
What is the solution for the inequality given below? Show work.<br> 3x - 4 &lt; -19
Ludmilka [50]

Answer:

x

Step-by-step explanation:

3x-4

Add 4 to both sides

3x

Divide both sides by 3

x

Hope this helps!

(Please mark brainliest)

5 0
3 years ago
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Laun
arlik [135]

Answer: 16.67% for question 1

83.33% for question 2

Step-by-step explanation:

1/6 as a percent is 16.67% because the is only 1 correct number

5/6 as a percent is 83.33% because there is 5 wrong numbers

3 0
3 years ago
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