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katrin2010 [14]
2 years ago
13

If you apply the changes below to the exponential parent function f(x)=2^x, what is the equation of the new function? Shifts fiv

e units to the right, Shifts seven units down
Mathematics
1 answer:
luda_lava [24]2 years ago
3 0

the equation of the new function is:

g(x) = 2^{x - 5} - 7

<h3>What is the equation of the new function?</h3>

We have a function:

f(x) = 2^x

And we want to shift it five units to the right, and seven units down, then the new function will be:

g(x) = f(x - 5) - 7

If we now replace f(x), we get:

g(x) = 2^{x - 5} - 7

That is the equation of the new function.

If you want to learn more about translations:

brainly.com/question/24850937

#SPJ1

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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
True or false (Picture provided)
Naya [18.7K]
<h2>Hello!</h2>

The answer is: True.

<h2>Why?</h2>

A counterexample is a way that we can prove that something is not true about a mathematical equation or expression, it's also considered as an exception to a rule.

So:

sec^{2}x-1=\frac{cosx}{cscx}\\\\tg^{2}x=\frac{cosx}{\frac{1}{sinx}}\\\\\frac{1-cos2x}{1+cos2x}=cosxsinx

Then, evaluating we have:

\frac{1-cos(2*45)}{1+cos(2*45)}=cos(45)*sin(45)\\\\\frac{1-0}{1+0}=\frac{\sqrt{2} }{2}*\frac{\sqrt{2}}{2}\\\\1=\frac{(\sqrt{2})^{2} }{4}\\\\1=\frac{2}{4}\\\\1=\frac{1}{2}

Hence, we can see that the equation is not fulfilled, so, 45° is a counterexample for sec^{2}x-1=\frac{cosx}{cscx} and the answer is true.

Have a nice day!

3 0
3 years ago
Draw quick pictures to show the number 326
denpristay [2]
Heres how u make 3 large boxes to show 3 hundreths 2 skinny rectangles to show 2 tens and 6 lil boxes to show 6 ones all together youve got 326!

8 0
4 years ago
A) ¿Cuánto es el 35 % de <br> 500
RideAnS [48]

Answer:

175

Step-by-step explanation:

Si haces 35% por 500, es igual a 175.

4 0
3 years ago
Identify all sets to which the number -3/4 belongs
leonid [27]

Answer:

a. rational numbers

Step-by-step explanation:

we observe that -3/4 is a proper fraction (i.e it is a rational number)

hence

1) It cannot be a whole number

2) it cannot be an integer

therefore any answer choices that mention whole number or integer is not correct. By default, only a is correct.

6 0
3 years ago
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