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3 years ago

Which equation below has a slope greater than the slope of the line shown above?

Mathematics

1 answer:

Lilit [14]3 years ago

8 0

Answer:

B.y = 3x - 1

Step-by-step explanation:

Pick two points on the line

(0,1) and (2,5)

The slope using the slope formula

m = (y2-y1)/(x2-x1)

= ( 5-1)/(2-0)

= 4/2

= 2

We want a slope that is greater than 2

The slope intercept form of the equation is

y = mx+b where m is the slope

y = 3x - 1 has a slope of 3 which is greater than 2

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Help help needed for composition of function

dimulka [17.4K]

Answer:

$\circledast \ \ f\circ f\left( x\right) = x$

$\circledast \ \ g\circ g\left( x\right) =4x - 21$

Step-by-step explanation:

$f(x)=\frac{5}{2x}$

g(x) = 2x - 7

==============

$f\circ f\left( x\right) =\frac{5}{2\left( f\left( x\right) \right) }$

$=\frac{5}{2\left( \frac{5}{2x} \right) }$

$=\frac{5}{\left( \frac{5}{x} \right) }$

$=5\times\frac{x}{5}$

$=x$

_____________

$g\circ g\left( x\right) =2(g(x)) - 7$

= 2(2x - 7) - 7

= 4x - 14 - 7

= 4x - 23

3 0

2 years ago

Which of Polygons B, C, D, E, and F are similar to Polygon A?

bearhunter [10]

Answer:

b and d

Step-by-step explanation:

3 0

3 years ago

X+4/x-1 divided by x^2 +x/x-1<br> 3/2x-1 subtract by 5/2x-1 <br> how do you do them

ElenaW [278]

$\frac{x + 4}{x - 1} / \frac{x^{2} + x}{x - 1} = \frac{x + 4}{x - 1} * \frac{x^{2} + x}{x - 1} = \frac{(x + 4)(x^{2} + x)}{(x - 1)(x - 1)} = \frac{x^{3} + x^{2} + 4x^{2} + 4x}{x^{2} - x - x + 1} = \frac{x^{3} + 5x^{2} + 4x}{x^{2} - 2x + 1} = x + 7 + \frac{17x - 7}{x^{2} - 2x + 1}$

$\frac{3}{2x - 1} - \frac{5}{2x - 1} = -\frac{2}{2x - 1}$

6 0

3 years ago

In 2011, there were 150 participants in a quiz competition. In 2012, there were 185 participants in this quiz competition.

soldi70 [24.7K]

Answer:

c.) The absolute change is 35 students and the relative change indicates an increase of 23.3%

Step-by-step explanation:

the participants increasing = 185-150=35

the percentage = 35/150 × 100% = 23.3%

7 0

3 years ago

A soccer player is 30 feet from the goal line. He shoots the ball directly at the goal.

nevsk [136]

Answer:

14.93°

Step-by-step explanation:

Using trigonometry :

From the diagram attached :

Angle of elevation = x

To obtain the value of x

Tan x = opposite / Adjacent

Tan x = 8 / 30

Tan x = 0.266666

x = tan^-1(0.26666)

x = 14.93°

Therefore, the angle of elevation is 14.93°

7 0

3 years ago