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2 years ago

Which rules define the function whose graph is shown? on x < −2 on −2 ≤ x < 0 on 0 ≤ x < 2 on 2 ≤ x

Mathematics

2 answers:

jeyben [28]2 years ago

4 0

Answer:

-4, -x^2, x^2, 4

Step-by-step explanation:

Gala2k [10]2 years ago

3 0

Answer:

-4, -x^2, x^2, 4

Step-by-step explanation:

PLEASE MARK BRAINIEST!!

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Write an equation in slope-intercept form for the line that passes through the point ( -1 , -2 ) and is perpendicular to the l

mamaluj [8]

The equation in slope-intercept form for the line that passes through the point ( -1 , -2 ) and is perpendicular to the line − 4 x − 3 y = − 5 is $y = \frac{3}{4}x - \frac{5}{4}$

Solution:

The slope intercept form is given as:

y = mx + c ----- eqn 1

Where "m" is the slope of line and "c" is the y - intercept

Given that the line that passes through the point ( -1 , -2 ) and is perpendicular to the line − 4 x − 3 y = − 5

Given line is perpendicular to − 4 x − 3 y = − 5

− 4 x − 3 y = − 5

-3y = 4x - 5

3y = -4x + 5

$y = \frac{-4x}{3} + \frac{5}{3}$

On comparing the above equation with eqn 1, we get,

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

We know that product of slope of a line and slope of line perpendicular to it is -1

$\frac{-4}{3} \times \text{ slope of line perpendicular to it}= -1\\\\\text{ slope of line perpendicular to it} = \frac{3}{4}$

Given point is (-1, -2)

Now we have to find the equation of line passing through (-1, -2) with slope $m = \frac{3}{4}$

Substitute (x, y) = (-1, -2) and m = 3/4 in eqn 1

$-2 = \frac{3}{4}(-1) + c\\\\-2 = \frac{-3}{4} + c\\\\c = - 2 + \frac{3}{4}\\\\c = \frac{-5}{4}$

$\text{ substitute } c = \frac{-5}{4} \text{ and } m = \frac{3}{4} \text{ in eqn 1}$

$y = \frac{3}{4} \times x + \frac{-5}{4}\\\\y = \frac{3}{4}x - \frac{5}{4}$

Thus the required equation of line is found

8 0

2 years ago

A car rental company charges $10 a day and 17 cents per mile to rent their cars. If the total charge for a 2-day rental were $61

borishaifa [10]

Answer:

245 miles driven.

Step-by-step explanation:

A car rental company charges $10 a day and 17 cents per mile to rent their cars. 17 cents = 0.17 dollars

Let x be the number of miles and y be the number of days

total change =0.17x + 10y

Given total change is 61.65 and number of days = 2

plug in the values and find out the number of miles

61.65 = 0.17 x + 2(10)

61.65 = 0.17 x + 20

subtract 20 on both sides

41.65 = 0.17x

Divide by 0.17 on both sides

x = 245

245 miles driven.

7 0

2 years ago

Why do you need to change the signs in -x^2+6x+m=0 ?

Goshia [24]

Answer:

It isn't necessary but having a positive coefficient for $x^2$ makes things like completing the square and factoring easier.

3 0

3 years ago

Person 1 writes internal operating procedures 3 times faster than Person 2. Most of the procedures took 30 minutes each to creat

ad-work [718]

Person 1 takes 3 hour 10 minutes to complete 9 procedures

Solution:

From given question,

Person 2 takes 30 minutes per procedure

Person 1 writes internal operating procedures 3 times faster than Person 2

So we get, Person 1 takes 3 times faster than Person 2

Person 1 takes 10 minutes per procedure

But two of the procedures for Person 1 took an hour each

So person 1 takes 60 minutes each for two of procedures ( since 1 hour = 60 minutes )

Calculate how long it took Person 1 to complete 9 procedures:

So for first 7 procedures person 1 would take 10 minutes per procedure and for last two procedures person 1 would take 60 minutes per procedure

$time $=7$ procedures $\times \frac{10 \text { minutes }}{1 \text { procedure }}+2$ procedure $\times \frac{60 \text { minutes }}{1 \text { procedure }}$$

$time=70 minutes +120minutes\\\\time=190minutes$

We know that,

1 hour = 60 minutes

Therefore,

190 minutes = 60 minutes + 60 minutes + 60 minutes + 10 minutes

190 minutes = 1 hour + 1 hour + 1 hour + 10 minutes = 3 hour 10 minutes

Therefore Person 1 takes 3 hour 10 minutes to complete 9 procedures

7 0

2 years ago

Can you go on my page and answer my question about arcs

Lelechka [254]

Answer:

ill try

Step-by-step explanation:

8 0

2 years ago