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GrogVix [38]
3 years ago
14

What is the y intercept of the line -4x + 6y = -12?

Mathematics
1 answer:
snow_lady [41]3 years ago
6 0
  -4x + 6y = -12
-4(0) + 6y = -12
     0 + 6y = 12
           <u>6y</u> = <u>12</u> 
            6      6
             y = 2

The y-intercept of the equation is 2.
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Does each function describe exponential growth or decay?
zhannawk [14.2K]

Hey Jinx :)

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Note that a decay has a rate between 0 and 1, and a growth as a rate of 1 or higher.

y = 1/2(1 + 0.03)^t → y = 1/2(1.03)^t (Rate is more then 0) GROWTH

y = 0.3(0.95)^t → (Rate is between 0 and 1) DECAY

y = ((1+0.03)^1/2)^2t → y = y = 1.014^2t (Rate is more then 0) GROWTH

y = 200(0.73)^t → (Rate is between 0 and 1) DECAY

y = 4(1/4)^t → (Rate is between 0 and 1) DECAY

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Hope This Helped! Good Luck!

4 0
3 years ago
Consider the function below, which has a relative minimum located at (-3 , -18) and a relative maximum located at (1/3, 14/17).
leonid [27]
First of all, when I do all the math on this, I get the coordinates for the max point to be (1/3, 14/27).  But anyway, we need to find the derivative to see where those values fall in a table of intervals where the function is increasing or decreasing.  The first derivative of the function is f'(x)=-3x^2-8x+3.  Set the derivative equal to 0 and factor to find the critical numbers. 0=-3x^2-8x+3, so x = -3 and x = 1/3.  We set up a table of intervals using those critical numbers, test a value within each interval, and the resulting sign, positive or negative, tells us where the function is increasing or decreasing.  From there we will look at our points to determine which fall into the "decreasing" category.  Our intervals will be -∞<x<-3, -3<x<1/3, 1/3<x<∞.  In the first interval test -4. f'(-4)=-13; therefore, the function is decreasing on this interval.  In the second interval test 0. f'(0)=3; therefore, the function is increasing on this interval.  In the third interval test 1. f'(1)=-8; therefore, the function is decreasing on this interval.  In order to determine where our points in question fall, look to the x value.  The ones that fall into the "decreasing" category are (2, -18), (1, -2), and (-4, -12).  The point (-3, -18) is already a min value.
8 0
3 years ago
Please help what is the volume of the rectangular prism
77julia77 [94]

Answer:

120

Step-by-step explanation:

to find the volume of rectangular prisms, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units. After doing that, you get 120

6 0
2 years ago
Xavier, Yolanda and Sara shared some money. Yolanda received 40% more money than Xavier, and Zara received 60% of Yolanda's shar
leonid [27]

Answer:

Step-by-step explanation:

Xavier, Yolanda and Zara shared some money.

Let x represent Xavier's share

Let y represent Yolanda's share

Let z represent Zara's share.

Yolanda received 40% more money than Xavier. This means that

y = x + 40/100×x = x + 0.4x = 1.4x

Zara received 60% of Yolanda's share. This means that

z = 60/100× 1.4 = 0.6×1.4 = 0.84x

. If Zara received $1,176, then,

0.84x = 1176

x = 1176/0.84 = 1400

y = 1.4 × 1400 = $1960

z = 0.84 × 1400 = $1176

The sum of the money is

1400 + 1960 + 1176 = $4536

6 0
3 years ago
What is -3 2/3 times (-2 1/4)?
butalik [34]
(-3 2/3) * (-2 1/4) ...turn to improper fractions
-11/3 * - 9/4 = ....now multiply straight across,and neg. x neg. = pos
99/12 reduces to 33/4 or 8 1/4
5 0
3 years ago
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