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k0ka [10]
3 years ago
7

Consider function f below. f(x)=4^x-6 Determine function g which is created by shifting the graph of function f up 5 units.

Mathematics
1 answer:
LuckyWell [14K]3 years ago
6 0

Answer: Option C

g(x) = 4 ^ x-1

Step-by-step explanation:

If we have a function f(x) and we want to move its graph vertically then we apply the transformation:

g (x) = f (x) + k.

So:

If k> 0 the function g(x) will be the function f(x) displaced k units up

If k the function g(x) will be the function f(x) displaced k units down.

In this case we know that the graph of f(x) moves 5 units up.

then k> 0 and k = 5

Therefore g (x) = f(x) +5

g(x) = 4 ^ x - 6 +5\\\\g(x) = 4 ^ x-1

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-47, -18, -14, -9, 26, 34, 37
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For a button to fit through its buttonhole, the hole needs to be the size of the button's diameter. What size buttonhole is need
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Diameter is 2.36 cm.

Given:
Circumference = 7.38 cm

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7 0
3 years ago
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If p(x) = x2 – 1 and q(x) = 5(x-1) which expression is equivalent to (p – q)(x)?
lilavasa [31]

Answer:

Option C is correct.

The expression which is equivalent to (p-q)(x)  is, x^2 -1 - 5(x-1)

Step-by-step explanation:

Given: p(x) = x^2 -1 and q(x) = 5(x-1)

To find the expression which is equivalent to (p-q)(x):

here p and q both are function assuming;

we can write the expression :

(p-q)(x) = p(x) - q(x) = x^2 -1 - 5(x-1)

therefore, the expression which is equivalent to (p-q)(x)  is;   x^2 -1 - 5(x-1)

3 0
4 years ago
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​37% of college students say they use credit cards because of the rewards program. You randomly select 10 college students and a
Dafna11 [192]

Answer:

Step-by-step explanation:

We would assume a binomial distribution for the number of college students that said they use credit cards because of the rewards program. The formula is expressed as

P(x = r) = nCr × p^r × q^(n - r)

Where

x represent the number of successes.

p represents the probability of success.

q = (1 - r) represents the probability of failure.

n represents the number of trials or sample.

From the information given,

p = 37% = 37/100 = 0.37

q = 1 - p = 1 - 0.37

q = 0.63

n = 10

a) P(x = 2)

Therefore,

P(x = 2) = 10C2 × 0.37^2 × 0.63^(10 - 2)

P(x = 2) = 45 × 0.1369 × 0.02481557803

P(x = 2) = 0.15

b) P(x>2) = 1 - P(x ≤ 2)

P(x ≤ 2) = P(x = 0) + P(x = 1) + P(x = 2)

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P(x ≤ 2) = 0.0098 + 0.058 + 0.15 = 0.22

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7 0
3 years ago
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3x would have to be 15/2.

Since we have that 5x+3x=5x+15/2, the only pieces that are different are the 3x and the 15/2.  This gives us the equation

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If we were to go on and solve this equation, we would multiply by 2, giving us
6x=15

Then we would divide by 6:
6x/6=15/6 
and x=2.5.
3 0
4 years ago
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