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Free_Kalibri [48]
3 years ago
5

Solve system of equations

Mathematics
1 answer:
kotykmax [81]3 years ago
8 0

1.) x= 3

2.) y= -1

3.) z= negative 4/3

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Help Help Me Plzzzzzzzzzzzzzzzzzzzzz <br>I don't understand this problems
natita [175]

Answer:

  1. lower right (see attachment 1)
  2. 39
  3. linear/exponential (see attachment 2)

Step-by-step explanation:

<h3>1.</h3>

An exponential function is one that increases or decreases at a rate that is proportional to its value. That is, if it is increasing, it does so at an increasing rate. If it is decreasing, it does so at a decreasing rate.

The "base" of the function is the number in parentheses when the function is written as it is here. The multiplier is the number to the left of these parentheses, and the exponent is the small number or expression to the upper right of the parentheses.

If the "base" is less than 1, then the function will be decreasing. If there is no added constant, it will decrease toward zero. If there is an added constant (as here, -1), then the function will decrease toward that value. The only graph showing a function decreasing toward -1 is the one at lower right (attachment 1).

___

<em>Note about the multiplier</em>

If the multiplier is negative (not the case here), then the graph will be reflected across the x-axis and the descriptors "increasing" and "decreasing" get reversed. A graph that would go down to the right with a positive multiplier goes up to the right with a negative multiplier.

What you can <em>always</em> say is that when the base is less than 1, the graph is steep on the left and flat on the right. For a base greater than 1, the reverse is true.

<h3>2.</h3>

The average rate of change of a function between x1 and x2 is given by the formula ...

... average rate of change = (f(x2) -f(x1))/(x2 -x1)

Here, you have x2 = 10, so f(x2) = 3^(10/2) = 3^5 = 243; and x1 = 4, so f(x1) = 3^(4/2) = 3^2 = 9.

Then the average rate of change is ...

... average rate of change = (243 -9)/(10 -4) = 234/6 = 39 . . . flowers/day

<h3>3.</h3>

When faced with determining the sort of function you have, first of all check the given x-values. If they are evenly spaced, as here, then you are in luck.

Next look at the differences of y-values. These are the "first differences". For the first table, they are ...

  • 7 - 5.5 = 1.5
  • 8.5 - 7 = 1.5 . . . . same as the other one

When the first differences are constant, as here, the function is linear.

In the second table, the first differences are decidedly <u>not</u> constant, so the function is not linear. Another test you can do is to see if the ratios of y-values are a constant. Here, those ratios are ...

  • 8/1 = 8
  • 64/8 = 8

These ratios are constant, so the function is exponential.

6 0
3 years ago
Which equation is equivalent to the equation 6x + 9=12
quester [9]

Answer:

the answer is 1/2

Step-by-step explanation:

i solved it

6 0
3 years ago
Evaluate bd for a = 5, b = -2, c = 4 and d = -6. user: perform the indicated operation. (-50) �� (-2) user: perform the indicate
Stella [2.4K]
Assuming that the missing operations are multiplication as it is with the first question "bd", then the answer would be as follows:

1.)  Simply substitute the values of b and d before multiplying.

bd = (-2)(-6) = 12

2.) (-50)(-2) = 100

3.) (5/8)(7/12)= 35/96
7 0
2 years ago
How would I do the steps to solve this?
allsm [11]

Answer:

The maximum revenue is 16000 dollars (at p = 40)

Step-by-step explanation:

One way to find the maximum value is derivatives. The first derivative is used to find where the slope of function will be zero.

Given function is:

R(p) = -10p^2+800p

Taking derivative wrt p

\frac{d}{dp} (R(p) = \frac{d}{dp} (-10p^2+800p)\\R'(p) = -10 \frac{d}{dp} (p^2) +800 \ frac{d}{dp}(p)\\R'(p) = -10 (2p) +800(1)\\R'(p) = -20p+800\\

Now putting R'(p) = 0

-20p+800 = 0\\-20p = -800\\\frac{-20p}{-20} = \frac{-800}{-20}\\p = 40

As p is is positive and the second derivative is -20, the function will have maximum value at p = 40

Putting p=40 in function

R(40) = -10(40)^2 +800(40)\\= -10(1600) + 32000\\=-16000+32000\\=16000

The maximum revenue is 16000 dollars (at p = 40)

3 0
2 years ago
Write the equation of a straight line passing through the point (1,8) and perpendicular to y=3x+2
Neko [114]
Hello there!

The first thing you must do is to find the slope of the line. To do this, find the negative reciprocal of your current equation. Since your current slope is 3, the negative reciprocal of that would be -1/3, which would be your slope.

Now that you have your slope, plug it into the slope intercept equation as well as your known points:
(1,8)  m(slope)=-1/3
8=1(-1/3)+b

Now, solve for b:
8=1(-1/3)+b
8=-1/3+b
b=25/3

Now that you have the slope and the b value, you can conclude that your equation would be:
y=-1/3x+25/3
5 0
3 years ago
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