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andrey2020 [161]
3 years ago
8

Graph the exponential function. y = 4(3) x

Mathematics
2 answers:
rusak2 [61]3 years ago
7 0
Y=12x so basically on ur graph you would start at 0 since you have no y intercept and go up 12 spaces and over one to the right and keep doing that
gtnhenbr [62]3 years ago
7 0

Answer:

The answer is the attached graph.

Step-by-step explanation:

We have to know about exponential function.

The general Exponential Function is:

f(x)=a^x

Where:

a is any value greater than 0

Properties depend on value of "a"

  1. When a=1, the graph is a horizontal line at y=1
  2. It is always greater than 0, and never crosses the x-axis
  3. It always intersects the y-axis at y=1, that it means, it passes through (0,1)
  4. Its Domain is the Real Numbers: R
  5. Its Range is the Positive Real Numbers: (0, +∞)

I have attached an image that shows the graph of y=4*3^x

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The side of the base of a square prism is decreasing at a rate of 7 kilometers per minute and the height of the prism is increas
Ber [7]

Answer:

dV = - 5.73*10⁹ m³/s

Step-by-step explanation:

Question: What is the rate of change of the volume of the prism at that instant (in cubic meters per second) ?

A function can be dependent on one or more variables. The change in the function due to a change in one o its variables is given by the functions derivative with respect to that variable. For functions that are composed of products of its variables, we may use the product rule to determine its derivative.

The volume of a square prism with base a and height h is given by

V = a²h

When the base and height are changing, we have

dV = 2ah(da/dt) +  a²(dh/dt)

Given

a = 4 Km

h = 9 Km

da/dt = - 7 Km/min

dh/dt = 10 Km/min

we have

dV = 2(4 Km)(9 Km)(- 7 Km/min) +  (4 Km)²(10 Km/min)

⇒   dV = - 504 Km³/min + 160 Km³/min = - 344 Km³/min

⇒   dV = - 5.73*10⁹ m³/s

8 0
3 years ago
Kesha rode her bike 12 miles from home to the store. She rode her bike back towards home from the store for 8 miles then walked
stellarik [79]

Answer:

0 Kesha is already home 8+4 is 12 and it's 12 miles from the store to her house .-.

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
If there is a 70% chance of rain tomorrow and a 50% chance of wind and rain,
enyata [817]

Answer:

71%

Step-by-step explanation:

Conditional Probability: <u>P(A and B)</u>

                                            P(A)

P(A and B): 0.5

P(A): 0.7

=0.5/0.7

=0.71428... (x 100)

4 0
3 years ago
Read 2 more answers
Solve the inequality 2x - 5 \le -x +12. Give your answer as an interval.
ludmilkaskok [199]

Answer: \begin{bmatrix}\mathrm{Solution:}\:&\:x\le \frac{17}{3}\:\\ \:\mathrm{Decimal:}&\:x\le \:5.66666\dots \\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:\frac{17}{3}]\end{bmatrix}

Step-by-step explanation:

2x-5\le \:-x+12

2x\le \:-x+17\\

2x+x\le \:-x+17+x

3x\le \:17

\frac{3x}{3}\le \frac{17}{3}

x\le \frac{17}{3}

6 0
3 years ago
What is the solution to the equation -5 =8m +12 /4
Dima020 [189]
m = -1

-5 = 8m + 12/4
-5 - 12/4 = 8m
4(-5) - (12/4) = 4(8m)  
 
*to remove the denominator, multiply each figure by 4.

-20 -12 = 32m
-32 = 32m
-32/32 = 32m/32
-1 = m

m = -1

To check:

-5 = 8m + 12/4
-5 = 8(-1) + 3
-5 = -8 + 3
-5 = -5

3 0
3 years ago
Read 2 more answers
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