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lina2011 [118]
2 years ago
12

Identify a transformation of the function ƒ(x) = x by observing the equation of the function g(x) = m ⋅ x, with m > 1

Mathematics
2 answers:
lara [203]2 years ago
3 0

If f(x) = x, or 1x, then g(x) = m*x multiplies the slope of the original function by a factor of m.

d1i1m1o1n [39]2 years ago
3 0

Answer:

The line becomes steeper.

Step-by-step explanation:

We have been given a function f(x)= x  and g(x)= m.x where m>1

The slope of the line f(x) is 1

Compare the function f(x) with general equation of the line which is y=mx+c

Here m=1

Now, compare g(x) with y=mx+c

Here slope of g(x) is m.

The line becomes steeper.

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A solid silver paperweight in the form of a square pyramid is shown below. If silver costs $0.12 per cubic centimeter, how much
Rufina [12.5K]

Answer:

It would cost $232.32, this answer is rounded.

Step-by-step explanation:

The formula for the volume of a square pyramid is:

V=a^2\frac{h}{3}

So its just:

8.8^2\frac{12.5}{3} = 322.67 cm^3

Then you just multiply the volume by the cost per cubic centimetre:

322.67cm^3*$0.12=$38.704

After just multiply the cost of one by how many you want, which is 6:

38/704*6=232.32

4 0
2 years ago
A gardener brought 5 rabbits, after 2 months rabbits became 10, and after 4 months they became 20. If the growth continues on th
kramer

Answer:

Initial population of Rabbit = 5 rabbit

After 2 months

Population of Rabbit = 10

After 4 months

population of rabbit = 20

Formula for growth is :

G = G_{0}[1 + R]^n, where G is final population and G_{0} is initial population, and R is growth rate.

1. 10 = 5 [1 +R]²

Dividing both sides by 5 , we get

2 = (1 + R)²

→ R + 1 = √2  ⇒ taking positive root of 2

→R = √2 -1

Amount of rabbit after 1 year = 20(1 + \sqrt2 -1)^8= 20 \times (\sqrt2)^8= 20 \times 2^4= 20 \times 16= 320




6 0
2 years ago
Read 2 more answers
Nancy found that x=1 is one solution to the quadratic eqaution (x+2)2=a.What is the Value of a ?
coldgirl [10]
<span>(x + 2)</span>·<span>2 = a

(1 + 2)</span>·2 = a

3·2 = a

a = 6
6 0
2 years ago
Read 2 more answers
Which shows one way to determine the factors of 12x3 – 2x2 + 18x – 3 by grouping?
Debora [2.8K]

Option A

2x^2(6x-1) + 3(6x-1) is one way to determine the factors of 12x^3-2x^2+18x-3 by grouping

<em><u>Solution:</u></em>

Factoring by grouping means that you will group terms with common factors before factoring

<em><u>Given expression is:</u></em>

12x^3-2x^2+18x-3

Group the first two terms together and then the last two terms together.

(12x^3-2x^2)+(18x-3)

We can see that 2x^2 is common in first two terms

And 3 is common in last two terms

Factor them out

(12x^3-2x^2)+(18x-3) = 2x^2(6x-1) + 3(6x-1)

2x^2(6x-1) + 3(6x-1)

Thus option A is correct

6 0
2 years ago
Read 2 more answers
Write a expression that shows 3 times the sixth power of 10
user100 [1]
(10 raised to the power of 6)×3     

(10*6) ×3
8 0
2 years ago
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