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3 years ago

What does g(x) equal for number 4?

Mathematics

1 answer:

Arisa [49]3 years ago

3 0

G(x) is a quadratic function with a parabolic graph that opens up and has vertex at (0,0). If we dilate this vertically by a factor of 6, we get h(x) = 6x^2.

If we translate the graph of h(x) 1 unit up and 4 units to the right, we get

k(x) = 6(x-4)^2 + 1.

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A nonnative fern species is introduced into an area and quickly begins to spread. The number of plants can be modeled by

ivolga24 [154]

Based on the information, there were initially 1200 ferns; the monthly percent rate of change is 68% and this situation is modeled by an exponential growth function

<h3>How to complete the information?</h3>

The given parameters from the question are:

P(n) = 1200(1.68)^n

Where

n represent the number of months

An exponential growth function is represented as:

P(n) = a * (1 + r)^n

Where

a represents the initial value

r represents the rate

By comparison, we have

a = 1200

1 + r = 1.68

This gives

r = 0.68 = 68%

Hence, there were initially 1200 ferns; the monthly percent rate of change is 68% and this situation is modeled by an exponential growth function

Read more about exponential growth function at:

brainly.com/question/2456547

#SPJ1

3 0

2 years ago

A 3 liter bottle of juice costs $5.70<br> What is the unit price for 1 liter of juice?

Galina-37 [17]

Answer:

$1.90

Step-by-step explanation:

Divide 5.7 by 3 to get your answer.

$\frac{5.7}{3}$ = 1.9

3 0

3 years ago

Read 2 more answers

Question 18

kobusy [5.1K]

Answer:

Undefined

Step-by-step explanation:

$y=-7$ has a slope of $0$ , since it is a horizontal line. The only types of lines that are perpendicular to horizontal lines are vertical lines, which are usually in the form $x=a$ (where $a$ is any real number). Vertical lines have an undefined slope, so the answer is undefined. Hope this helps!

6 0

2 years ago

16/21 × 20/24 × 28/15

Troyanec [42]

Answer:

32/27

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

A basketball player shoots a basketball that reaches a height above 15 feet before landing back on the ground exactly after 7 se

Papessa [141]

Answer:

I and IV

Step-by-step explanation:

Since the height of the basketball reaches above 15 feet, hence the maximum of the function should be greater than 15 feet. Also at 7 seconds, the ball is on the ground, hence f(7) = 0 feet

The maximum of a function is at x = -b/2a

i) f(x) = -(x-3)² + 16 = -(x² - 6x + 9) + 16 = -x² + 6x + 7

The maximum of a function is at x = -b/2a = -6 / 2(-1) = 3

f(3) = -(3-3)² + 16 = 16 > 15

Also f(7) = - (7 - 3)² + 16 = 0

Hence this option is correct

ii) f(x) = -x² + 8x - 7

The maximum of a function is at x = -b/2a = -8 / 2(-1) = 4

f(4) = -4² + 8(4) - 7 = 9 < 15 not correct

Also f(7) = - 7² + 8(7) - 7 = 0

Hence this option is not correct since the maximum f(4) = 9 < 15

iii) f(x) = -(x-3)² + 14 = -(x² - 6x + 9) + 14 = -x² + 6x + 5

The maximum of a function is at x = -b/2a = -6 / 2(-1) = 3

f(3) = -(3-3)² + 14 = 14 < 15

Also f(7) = - (7 - 3)² + 14 = -2

Hence this option is not correct since the maximum f(4) = 9 < 15 and f(7) ≠ 0

iv)f(x) = -x² + 6x + 7

The maximum of a function is at x = -b/2a = -6 / 2(-1) = 3

f(3) = -(3)² + 6(3) + 7 = 16 > 15

Also f(7) = - (7)² + 6(7) + 7 = 0

Hence this option is correct

3 0

3 years ago