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Marizza181 [45]
1 year ago
12

On a coordinate plane, 2 exponential functions are shown. f (x) decreases from quadrant 2 to quadrant 1 and approaches y = 0. It

crosses the y-axis at (0, 4) and goes through (1, 2). g (x) increases from quadrant 3 into quadrant 4 and approaches y = 0. It crosses the y-axis at (0, negative 4) and goes through (1, negative 2).
Which function represents g(x), a reflection of f(x) = 4(one-half) Superscript x across the x-axis?

g(x) = −4(2)x
g(x) = 4(2)−x
g(x) = −4(one-half) Superscript x
g(x) = 4(one-half) Superscript negative x
Mathematics
1 answer:
aliina [53]1 year ago
3 0

Answer: -4\left(\frac{1}{2} \right)^{x}

Step-by-step explanation:

To reflect the graph of a function across the x-axis,

y=f(x) \longrightarrow y=-f(x)

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7. Factor the expression.<br> 42 - 64
Dmitriy789 [7]

Answer:

-22 = -2^1×11^1

Step-by-step explanation:

Factor the following integer:

-22

Hint: | Is 22 divisible by 2?

The last digit of 22 is 2, which means it is even. Therefore 22 is divisible by 2:

22 = 2 11:

-22 = -2×11

Hint: | Now try to factor 11. Is 11 divisible by 2?

11 is not divisible by 2 since 11 is odd and 2 is even:

-22 = -2×11 (11 is not divisible by 2)

Hint: | Is 11 divisible by 3?

The sum of the digits of 11 is 1 + 1 = 2, which is not divisible by 3. This means 11 is not divisible by 3:

-22 = -2×11 (11 is not divisible by 2 or 3)

Hint: | Is 11 divisible by 5?

The last digit of 11 is not 5 or 0, which means 11 is not divisible by 5:

-22 = -2×11 (11 is not divisible by 2, 3 or 5)

Hint: | Is 11 divisible by 7?

Divide 7 into 11:

| | 1 | (quotient)

7 | 1 | 1 |  

- | | 7 |  

| | 4 | (remainder)

11 is not divisible by 7:

-22 = -2×11 (11 is not divisible by 2, 3, 5 or 7)

Hint: | Is 11 prime?

No primes less than 11 divide into it. Therefore 11 is prime:

-22 = -2×11

Hint: | Express -22 as a product of prime powers.

There is 1 copy of 2 and 1 copy of 11 in the product:

Answer: -22 = -2^1×11^1

3 0
2 years ago
Which of the following is correct?
Andru [333]

Answer:

none

Step-by-step explanation:

7 0
3 years ago
Maria is draining her swimming pool. The depth of the water in the pool changes by −3/4 foot every hour.The depth of the water w
Alex17521 [72]

Answer: 1 1/4feet

Step-by-step explanation:

From the question, we are informed that the depth of the water in the pool changes by −3/4 foot every hour and that the depth of the water was 5 feet when she started draining.

The depth of the water after 5 hours will be:

= 5 - 3/4(5)

= 5 - 15/4

= 5 - 3 3/4

= 1 1/4 feet

7 0
2 years ago
Write a real world problem for the equation 11x =385.
bagirrra123 [75]
Real world problem for 11x = 385

Sam brought home 385 packs of string for the party. At the party, Sam invites 11 people, and wants to give each person the same amount of string. How much string does each person get?
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2 years ago
Robin earned $4,581 in 9 weeks. How much does he earn per week?
ryzh [129]
He earns $509 a week. Work: 
4581 divided by 9 $509
Robin earns $509 per week.
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