All categories

1 year ago

Pls help how does the slope g(x) compare to the slope of f(x) ?

Mathematics

1 answer:

Kay [80]1 year ago

7 0

Answer:

The slope of g(x) is less than the slope of f(x).

Step-by-step explanation:

If the slopes were equal, the lines would be parallel.

The slopes are both positive because both lines are going up from left to right, so the slopes are not opposite.

If they had opposite signs, one positive and one negative, the lines would look like one going up and one going down (from left to right)

The graph of f(x) is steeper, so it is greater, whereas, the graph of g(x) is flatter, so is it less.

You might be interested in

Kim is creating a mosaic in her garden. She finds the tile below and wants to know the missing side length ‘x’. Calculate the mi

GrogVix [38]

Answer:

x = 7.99 cm

Step-by-step explanation:

By applying cosine rule in the given triangle,

AC² = AB² + BC² - 2(AB)(AC)cosC

Substitute the measures of the sides and the angle in this formula,

x² = 6² + 10² - 2(6)(10)cos(53°)

x² = 36 + 100 - 72.217

x² = 63.782

x = √(63.782)

x = 7.99 cm

8 0

3 years ago

Can someone help me with this please

HACTEHA [7]

Answer:

Upward, x intercept is (2,0) , y intercept is (0,1), axis of symmetry is 2, vertex is (2,0)

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

A boy flying a kite lets out 300 feet of string which makes an angle of 38 degrees with the ground. Assuming that the string is

Lorico [155]

>>>>>>>
>>>>>>>
184.7 ft
>>>>>>>>
>>>>>>>

5 0

3 years ago

You go to an arcade and purchase a card with game credits. After playing 5 games you have 33 credits left. You play 4 more games

Amanda [17]

Answer:

$y=-3x+48$

Step-by-step explanation:

We will use slope-intercept form of equation to write our equation. The equation of a line in slope-intercept form is: $y=mx+b$ , where m= Slope of the line, b= y-intercept.

To write the equation that represents the number of credits y on the cards after x games, we will find slope of our line.

We have been given that after playing 5 games we have 33 credits left. We play 4 more games and we have 21 credits left. So our points will be (5,33) and (9,21).

Let us substitute coordinates of our both given points in slope formula: $m=\frac{y_2-y_1}{x_2-x_1}$ ,

$m=\frac{21-33}{9-5}$

$m=\frac{-12}{4}=-3$

Now let us substitute m=-3 and coordinates of point (5,33) in slope intercept form of equation to find y-intercept.

$33=-3\cdot 5+b$

$33=-15+b$

$33+15=b$

$48=b$

Upon substituting m=-3 and b=48 in slope-intercept form of an equation we will get,

$y=-3x+48$

Therefore, our desired equation will be $y=-3x+48$ .

6 0

3 years ago

ABCD is a rectangle and AC and BD are its diagonals. If AC = 10 cm, then BD is?

kiruha [24]

Answer:

A. 10 cm

Step-by-step explanation:

In a right angled triangle, a² + b² = c² where c is the diagonal or hypotenuse. If you split a rectangle diagonally into two right angle triangles, the a and b of both triangles would be the same length. Therefore, the c or diagonals would also be the same length - 10 cm.

Hope this helps!

5 0

2 years ago

Read 2 more answers