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rosijanka [135]
1 year ago
12

Suppose that g(x) = f(x) + 2. Which statement best compares the graph of g(x) with the graph of f(x)?

Mathematics
1 answer:
Jlenok [28]1 year ago
6 0

Answer:

<u>A</u>

Step-by-step explanation:

Since it mentions g(x) is f(x) + 2, it means the y-intercept of g(x) is 2 more than that of f(x).

This basically means that :

<u><em>The graph of g(x) is shifted 2 units up.</em></u>

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Olivia typed 36-word paragraph in 2/3 minute. what is her typing speed, in words per minute?​
Pepsi [2]

Answer:

Olivia typed speed per minutes is 54 words

Step-by-step explanation:

Given:

Olivia typed 36 word in 2/3

Solution:

By Unitary method, calculate the speed of typing by Olivia as-

2/3 Minutes → 36 Words

1 Minutes → 36 ÷(2/3) Words

1 Minutes → 36x3÷2 Words

1 Minutes → 54 Words

Therefore Olivia typed speed is 54 word.

7 0
3 years ago
Leila ran for president of the chess club, and she received 36 votes. There were 40 members in the club. What percentage of the
Troyanec [42]

Answer:

90% of the club member voted for Leila

Step-by-step explanation:

Leila ran for president of the chess club and she received 36 votes . The club has a total of 40 members . The percentage of the club member that voted for her can be computed below.

total member of the club = 40

number that voted for her  = 36

a%  of 40 = 36

a/100 of 40 = 36

40a/100 = 36

cross multiply

40a = 3600

divide both sides by 40

a = 3600/40

a = 90 %

90% of the club member voted for Leila

5 0
3 years ago
The population of a certain species of fish has a relative growth rate of 1.1% per year. It is estimated that the population in
Juliette [100K]

Answer:

(a) n(t) = P(0)*e^(0.010939940t)

(b) 12,674,681 (nearest unit)

(c) 14 years (nearest year)

Step-by-step explanation:

rate = 1.1% / year = 1.011

(a)

P(0) = 12,000,000  = population in 2010

In compound interest format, after t years

P(t) = P(0)* (1.011)^t

Given format = P(0)* e^(rt)

therefore

e^(rt) = 1.011^t       use law of exponents

(e^r)^t = 1.011^t

e^r = 1.011

r = log_e(1.011) = 0.010939940   (to 9 decimal places)

required formula is

n(t) = P(0)*e^(0.010939940t)

(b)

in 2015,

P(0)=12000000, n = 5 (years after 2010)

n(5) = 12000000*e^( 0.010939940 * 5 ) = 12,674,680.6 = 12,674,681 (nearest unit)

(c)

to reach 14 million, we equate

n(t) = 14,000,000

12,000,000 *e^(0.010939940*t) = 14,000,000

e^(0.010939940*t) = 14000000/12000000 = 7/6

take log on both sides

0.010939940*t = log(7/6)

t = log(7/6) / 0.010939940 = 14.091 years = 14 years to the nearest year.

See graph attached.  Y-axis is in millions, x-axis is in years.

4 0
3 years ago
Some help please?<br><br><br> What are the factors of the product represented below?
Anna35 [415]

Answer:

foooooooooooooooooood

Step-by-step explanation:

3 0
3 years ago
List the important features for the graph of a quadratic function.
Kay [80]

Answer:

  • Vertex
  • Minimum Point
  • Maximum Point
  • Roots
  • Axis of Symmetry

Step-by-step explanation:

The bottom (or top) of the U is called the vertex, or the turning point. The vertex of a parabola opening upward is also called the minimum point. The vertex of a parabola opening downward is also called the maximum point.

The x-intercepts are called the roots, or the zeros. To find the x-intercepts, set ax^2 + bx + c = 0.

The parabola is symmetric (a mirror image) about a vertical line drawn through its vertex (turning point). This line is called the axis of symmetry.

If possible, please mark brainliest

7 0
3 years ago
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