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3 years ago

8

4x-4y=15 whats the slope

1 answer:

Reika [66]3 years ago

4 0

Hey there!!!

What is slope-intercept form ?

<em>The slope intercept form is y = mx + b </em>

Where 'm' is the slope and 'b' is the y-intercept.

Given equation :

... 4x - 4y = 15

This is given is standard form.

Let's convert this into slope-intercept form.

... 4x - 4y = 15

... -4y = -4x + 15

... y = x + ( 15 / 4 )

<em>Hence, the slope is '1'. </em>

Hope my answer helps!

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What graph represents the piecewise function?

adoni [48]

Answer: Lower left corner

A piecewise function is basically a combination of other functions to make one single function. We can break up the given piecewise function into two parts:

f(x) = x-4

OR

f(x) = -2x

The f(x) will change depending on what x happens to be. If x is 0 or smaller, then we go with f(x) = x-4. Otherwise, if x is larger than 0, then we opt for f(x) = -2x.

To graph this, we basically graph y = x-4 and y = -2x together on the same coordinate system. We only graph y = x-4 if x is 0 or smaller. Likewise, we graph y = -2x when x > 0. This results in the graph shown in the lower left corner of your four answer choices.

Note: the closed circle means "include this point as part of the graph". The open circle means "exclude this point as part of the graph". So this is why the upper right corner is very close but not quite the answer we want.

5 0

3 years ago

Ben earns $13 per hour at Starbucks. When he works overtime, he earns time and a half. What is his regular pay for 40 hours of w

zaharov [31]

Answer:

$520

Step-by-step explanation:

Ben earns $13 per hour of regular work

<u>He gets for 40 hours of regular work:</u>

$13*40 = $520

Answer is $520

7 0

3 years ago

Read 2 more answers

Find the volume of the cone of with a height of 6cm and a diameter of the base or 6cm

Ainat [17]

Answer:

The volume of cone v= 113.04 cm³.

Step-by-step explanation:

Formula used to find volume of cone is:

$v= \pi * r^2 * \frac{h}{3}$

where r is the radius and h is the height of cone.

In the given question we are given:

height h= 6 cm

diameter d= 6 cm

We know radius r = d/2 = 6/2 = 3 cm

so, volume will be:

$v= \pi * 6^2 * \frac{3}{3}$

$v= \pi * 36$

$v=113.04$

So, the volume of cone v= 113.04 cm³ given height h= 6cm and radius r= 3cm

7 0

3 years ago

How do i do 3 part a ?

WINSTONCH [101]

In general the binomial expansion is

$(a+b)^n = {n \choose 0} a^0 b^n + {n \choose 1} a^1 b^{n-1} + {n \choose 2} a^2 b^{n-2} + ... + {n \choose n} a^n b^0$

So in our case, because we want ascending powers of x we'll write,

$(-3x + 1)^{11} = {11 \choose 0} (-3x)^0 1^{11} + {11 \choose 1} (-3x)^{1} 1^{10} + {11 \choose 2} (-3x)^{2} 1^9 + {11 \choose 3 } (-3x)^3 1^8 + ...$

We need to calculate the binomial coefficients:

${11 \choose 0} = 1$

${11 \choose 1} = 11$

${11 \choose 2} = \dfrac{11 \times 10}{2} = 55$

${11 \choose 3} = \dfrac{11 \times 10 \times 9}{3 \times 2} = 165$

$(-3x+1)^{11} = 1 (-3x)^0 1^{11} + 11(-3x)^{1} 1^{10} + 55 (-3x)^2 1^{9} + 165 (-3x)^3 1^8 + ...$

$(1-3x)^{11} = 1 -33 x + 495 3x^2 - 4455 x^3+ ...$

6 0

3 years ago

A dog is moving at a constant speed of 8 m/s. what is the dog’s acceleration

ozzi

$\quad \huge \quad \quad \boxed{ \tt \:Answer }$

$\qquad \tt \rightarrow \: Acceleration_{dog} = 0$

____________________________________

$\large \tt Solution \: :$

A dog is moving at a constant speed of 8 m/s, that concludes that there's no change in its speed with respect to time.

And Acceleration is define as rate of change in velocity, but since velocity/speed is constant. change in velocity = 0

Henceforth, Acceleration of dog is 0 as well.

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

4 0

1 year ago

Read 2 more answers