If the graph of the function y = x2 is reflected across the x-axis, what equation would correctly describe the new function

Work out m and c for the line: 2x + 3y +1=0 m= c =

Sergio [31]

Answer:

m = - $\frac{2}{3}$ , c = - $\frac{1}{3}$

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

2x + 3y + 1 = 0 ( subtract 2x + 1 from both sides )

3y = - 2x - 1 ( divide terms by 3 )

y = - $\frac{2}{3}$ x - $\frac{1}{3}$ ← in slope- intercept form

with m = - $\frac{2}{3}$ and c = - $\frac{1}{3}$

4 0

3 years ago

Daniela and Jack are hiking a steady incline. They use their GPS device to determine their elevation every 15 minutes. At 15 min

kow [346]

Answer:

$h=40t+9700$

where the elevation, h, is in feet and time, t, is in minutes.

Step-by-step explanation:

At the time, $t_1=15$ min, the elevation, $h_1= 10,300$ feet and

at the time $t_2= 30$ min, the elevation, $h_2=10,900$ feet.

As they are hiking a steady incline, so the change in the elevation with respect to time will be constant.

So, there will be a linear relationship between the elevation and the time.

Let $h$ be the elevation at any time instant $t$ , so the linear relation among these quantities is

$h=mt+C_0\;\cdots(i)$

where $m$ is the rate of change of elevation with respect to time and $C_0$ is constant.

The change in the elevation, $\Delta h=h_2-h_1= 10,900-10,300=600$ feet.

and the change in time, $\Delta t=t_2-1_1=30-15=15$ min.

So, change in the elevation in unit time,

$m=\frac{\Delat h}{\Delta t}=\frac{600}{15}=40$ feet/min.

Now, from equation (i)

$h=40t+C_0$

As the elevation, $h=h_1$ at time $t=t_1$ , so

$10,300=40\times15+C_0$

$\Rightarrow C_0=9700$

Hence, the required equation is

$h=40t+9700$

where the elevation, $h$ , is in feet and time, $t$ , is in minutes.

3 0

3 years ago

Help pleaseeee due at 4:00

Archy [21]

Answer:

the total cost would be $15,900

Step-by-step explanation:

hope this helped & good luck <33

5 0

3 years ago

Algebraically Speaking Write an equation: Rita has $5 in her purse. This is $12 less than she had before she went shopping. How

AfilCa [17]

-$12 -$5= x

x = value Rita has left when she went to the mall

5 0

3 years ago

The question is below:

Ksivusya [100]

QUESTION -> {WHICH EQUATION DESCRIBES A LINEAR FUNCTION }. 

ANSWER : 

 B . 

 y =(1 — 6 ) × 

 or. 

 

 C . 

 y = (2) ×

HOPE IT HELPS .

<h2> THANK ME LATER </h2>

<h2> THANKS. </h2>

 

 

7 0

2 years ago