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inysia [295]
3 years ago
15

Suppose f(x) = x^2. What is the graph of g(x) =f(4x)?

Mathematics
1 answer:
Alika [10]3 years ago
6 0

Answer:

your y-intercept is 0 and slope is 4 so any line with zero slope it will be horizontal

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Population Growth The population of a town of 5000
Nesterboy [21]

Answer:

a) A=5000{(1.03)}^{t}

b) 5464 inhabitants.

Step-by-step explanation:

The formula used for compound interest becomes very helpful in this case.

A=P{(1+r)}^{t}\\\\When:\\A = Final Value\\P = Initial Value\\r = Rate of Change (Decimal)\\t = Time (Years)

Knowing this, we can easily calculate the value for any year, counting from the original 5000.

From this formula, we can derive a specific one that will serve for any value of <em>t</em>.

a)

A=5000{(1+0.03)}^{t}\\A=5000{(1.03)}^{t}

b) Apply the formula:

A=5000{(1.03)}^{3}\\A=5000(1.092727)\\A=5463.635=5464

The town will have 5464 inhabitants.

5 0
3 years ago
A pipe is leaking at 1.5 cups per day. How many gallons per week is the pipe leaking?
neonofarm [45]
1.5 cups per day...7 days per week....1.5 * 7 = 10.5 cups per week
16 cups = 1 gallon

16/1 = 10.5/x....16 cups to 1 gal = 10.5 cups to x gal
cross multiply
(16)(x) = (1)(10.5)
16x = 10.5
x = 10.5/16
x = 0.65625 rounds to 0.66 gallons per week
4 0
3 years ago
34. Consider the following rectangular prism with a width, length and height of 3 m, 5 m and 12 m respectively. Find the surface
kogti [31]
127m would be surface area
7 0
3 years ago
Twice a number (x) is less then 10
GaryK [48]
The answer to this question is x=4
4 0
3 years ago
Use the GCF and the distributive property to write 12 + 39 as a product. Then check your answer.
Anika [276]
<span>The factors of 12 are 1, 2, 3, 4, 6, and 12. The factors of 39 are 1, 3, 13, and 39. A GCF, or greatest common factor, is the largest (greatest) number that divides two numbers. From the lists, we see that this is 3. If we factor out the 3 from both 12 and 39 essentially undoing the distributive property, we are left with the product 3 * ( 4 + 13 ).</span>
6 0
3 years ago
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