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AleksandrR [38]
3 years ago
12

Let f(x)=x. The graph of f(x) ​is transformed into the graph of g(x) by a vertical stretch of 4 units and a translation of 4 uni

ts up.
What is the equation for g(x) ?
Mathematics
2 answers:
Mrac [35]3 years ago
8 0

Answer:

g(x) = 4x + 4

Step-by-step explanation:

The given function is f(x)=x.

If we stretch vertically by a factor of 4 and a translation of 4 units up then the new function becomes

g(x) = 4f(x) + 4

But f(x)=x

We substitute to obtain the equation of g(x) as

g(x) = 4x + 4

Mademuasel [1]3 years ago
8 0

Answer:

g(x) = 4x + 4.

Step-by-step explanation:

f(x) = x

Vertical stretch gives  4x.

A translation of 4 up gives 4x + 4.

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Find the 11th term of the following geometric sequence.<br> 1, 3, 9, 27, ...
Natasha_Volkova [10]

Answer:

the answer is 59048

Step-by-step explanation:

as the common ratio is multiplying by 3 and the first term is 1 so from the rule (Tn=ar(power n-1 ) )

so the 11th term is 1*3(power 11-1 ) equal 3 power 10 equal 59048

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3 years ago
PLS help me with this!
shepuryov [24]
He can make 32 sandwiches. Since he uses 1/8 pound of cheese for each sandwich, he can make 8 sandwiches using 1 pound of cheese (1/8 x 8 = 1). Now that you know he can make 8 sandwiches with 1 pound of cheese, multiply 8 (this is the sandwiches) by 4 (pounds of cheese).
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Determine the surface area of this cone if the radius is 4 cm and the height is 12 cm . Round your answer to the nearest tenth .
maria [59]
Base Surface Area = π×42
= 50.265482457437 inches2
Lateral Surface Area = π×4×√42 + 4.72440944881892
= 77.789838023204 inches2
Total Surface Area = 128.05532048064 inches2


Or in square centimeters:

Base Surface Area = π×10.162
= 324.2927866224 centimeters2
Lateral Surface Area = π×10.16×√10.162 + 122
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8 0
3 years ago
Write the equation of the circle graphed below
Norma-Jean [14]

Answer:

The equation of the circle is

(x + 2)² + (y + 2)² = 9

Centered at (-2, -2), with radius of 3 units.

Step-by-step explanation:

The general equation of a circle is given as

(x - h)² + (y - k)² = r²

Where (h, k) is the center of the circle, and r is the radius.

Looking at the graph, the center is the red dot. It corresponds to -2 on the y-axis, and -2 on the x-axis. So, the center (h, k) is (-2, -2).

The radius is the distance from the center of the circle to the edge of the circle. The red dot is the edge of the circle, there are 3 lines that represent 3 units, so we have a radius of 3 units.

Using these in the general equation, we have

[x - (-2)]² + [y - (-2)]² = 3²

(x + 2)² + (y + 2)² = 9

And this is the equation.

6 0
3 years ago
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