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3 years ago

HELP ASAP f(x)=x² what is g(x)?

Mathematics

1 answer:

murzikaleks [220]3 years ago

4 0

Just by comparing the plots of f(x) and g(x), it's clear that g(x) is just some positive scalar multiple of f(x), so that for some constant k, we have

g(x) = k • f(x) = kx² = (√k x)²

The plot of the transformed function g(x) = (√k x)² passes through the point (1, 4), which means

g(1) = (√k • 1)² = 4

and it follows that k = 4. So g(x) = 4x² = (2x)² and B is the correct choice.

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Generate six Pythagorean triples using any method discussed during class. Explain each method you use.

Yuri [45]

Answer:

1) (3,4,5)

2) (6,8,10)

3) (8,15,17)

4) (10,24,26)

5) (5,12,13)

6) (33,56,65)

Step-by-step explanation:

There are many ways of generating Pythagorean triples (a,b,c), one of the easiest ones is to take two natural numbers n and m, and we will have:

a = n² - m²,

b = 2nm,

c = n² + m²

Then (a, b, c) is a Pythagorean triple.

So, we're going to generate 6 Pythagorean triples using this method.

1. m= 1 and n = 2

⇒a = 2² - 1² = 3

b =2(1)(2) = 4

c= 1² + 2² = 5

and the triple is (3,4,5)

2. Now for m = 1 and n = 3

⇒a = 3²-1² = 8

b= 2(3)(1) =6

c = 1²+3² = 10

and the triple is (6,8,10)

3. Now for m = 1 and n = 4

⇒a = 4²-1²=15

b=2(1)(4)=8

c= 4²+1²=17

And the triple is (8,15,17)

4. Now for m = 1 and n =5

⇒a = 5²-1²=24

b=2(1)(5)=10

c= 5²+1²=26

and the triple is (10,24,26)

5. m = 2 n = 3

⇒a = 3²-2²= 5

b= 2(2)(3)=12

c= 3²+2²= 13

And the triple is (5,12,13)

6. m= 4 n = 7

⇒a= 7²-4²=33

b=2(7)(4)=56

c= 4²+7²= 65

And the triple is (33,56,65)

4 0

3 years ago

To use unit analysis to convert 7 feet to yards you could use: (DO NOT CONVERT!)To use unit analysis to convert 7 feet to yards

Sonja [21]

Answer:

7ft/1yd ⋅1yd/3ft

Step-by-step explanation:

To use unit analysis to convert 7 feet to yards

Using unit analysis

1 yard = 3 feet

Hence

3 feet = 1 yard

7 feet = x yard

Cross Multiply

3 feet × x yard = 7 feet × 1 yard

We can represent this as

7 feet/1 yard × 1 yard/3 feet

The correct Option is :

7ft/1yd ⋅1yd/3ft

8 0

3 years ago

What is the value of x? 0.75x+5−0.5x=3

Mnenie [13.5K]

Answer:

x = −8

Step-by-step explanation:

4 0

3 years ago

What day is it eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Lemur [1.5K]

Answer:

9/30 2021

Step-by-step explanation:

:) yw

6 0

3 years ago

Read 2 more answers

HELP PLEASE!!! 28 POINTS!! 1)A professional pianist spends an average of 45 hours practicing the piano in a three-week period. U

tigry1 [53]

Answer:

Part 1) $180\ hours$

Part 2) There are about $298\ catfish$

Step-by-step explanation:

Part 1) we know that

1 month=4 weeks

Let

x------> the number of hours of practice for three months

Convert months to weeks

3 months=3(4)=12 weeks

using proportion

$\frac{45}{3}\frac{hours}{weeks} =\frac{x}{12}\frac{hours}{weeks}\\ \\ x=45*12/3\\ \\x=180\ hours$

that means------> In three months (12 weeks) the pianist practice 180 hours

Part 2)

Let

x------> the number of bass

y------> the number of catfish

we know that

Using proportion

$\frac{10}{7}\frac{bass}{catfish} =\frac{425}{y}\frac{bass}{catfish} \\ \\y=425*7/10\\ \\y=297.5\ catfish$

There are about $298\ catfish$

8 0

3 years ago