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klio [65]
2 years ago
11

What transformations are applied to the graph of the function f(x) = 10^x to produce the graph of the function g(x) = 3(10)^x -

2 ?
A.
a vertical dilation by a factor of and a horizontal shift to the right 2 units
B.
a vertical dilation by a factor of and a vertical shift down 2 units
C.
a vertical dilation by a factor of 3 and a vertical shift down 2 units
D.
a vertical dilation by a factor of 3 and a horizontal shift to the right 2 units

Mathematics
2 answers:
Jobisdone [24]2 years ago
8 0

Answer:

C

Step-by-step explanation:

lol didn't i just answer one of your questions, also give me brainliest pls :)

First, the function was multiplied by 3, which is a vertical dialation by a factor of 3. Then, we subtracted 2 from the function, which is a vertical shift down two units. Therefore, the answer is C

Nataly_w [17]2 years ago
4 0

Answer:

Its C

Step-by-step explanation:

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Newton’s Second Law of Motion states that the acceleration of an object is directly proportional to the force exerted on the obj
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The force the same object will exert if it accelerates at a rate of 7 m/s² is 35N

From the question,

We are to determine the force the object will exert.

From the information,

Newton’s Second Law of Motion states that the acceleration of an object is directly proportional to the force exerted on the object

Let acceleration be a

and

Force be F

Then we can write that,

F ∝ a

Then,

Introducing the constant, mass, m

We get

F = ma

Now, we will determine the mass of the object

F = 15 N

a = 3 m/s²

Putting the parameters into the formula, we get

15 = m × 3

∴ m = 15 ÷ 3

m = 5 kg

The mass of the object is 5 kg.

Now, to determine the force the same object will exert if it accelerates at a rate of 7 m/s²

That is,

a = 7 m/s²

and

m = 5 kg

Putting the parameters into the formula, we get

F = 5 × 7

F = 35 N

Hence, the force the same object will exert if it accelerates at a rate of 7 m/s² is 35N

Learn more here: brainly.com/question/13590154

4 0
2 years ago
Original price: $32<br> Discount: ?<br> Sale price: $8
Sati [7]

Answer:  75%

Step-by-step explanation:

32 dollars times 75% = 24

32 - 24 = $8

6 0
3 years ago
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4 0
4 years ago
Can someone help me do this darn work plz
PSYCHO15rus [73]

Answer:

13. 17/20

14. 11/100

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5 0
3 years ago
Read 2 more answers
Use Hooke's Law to determine the work done by the variable force in the spring problem. A force of 450 newtons stretches a sprin
vlada-n [284]

Answer:

The work done is 202.50Nm

Step-by-step explanation:

Given

F =450N

x_1 = 30cm

x_2 = 60cm

Required

The work done

First, we calculate the spring constant (k)

F = kx_1

450N = k *30cm

k = \frac{450N}{30cm}

k =15N/cm

So:

F = kx_1

F(x) = 15x

The work done using Hooke's law is:

W =\int\limits^a_b {F(x)} \, dx

This gives:

W =\int\limits^{60}_{30} {15x} \, dx

Rewrite as:

W =15\int\limits^{60}_{30} {x} \, dx

Integrate

W =15 \frac{x^2}{2}|\limits^{60}_{30}

This gives:

W =15 *\frac{60^2 - 30^2}{2}

W =15 *\frac{2700}{2}

W =15 *1350

W =20250N-cm

Convert to Nm

W =\frac{20250Nm}{100}

W =202.50Nm

7 0
3 years ago
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