Solve d over r equals t for r

PLEASE ANSWER! Given the functions f(x) = x2 + 6x - 1, g(x) = -x2 + 2, and h(x) = 2x2 - 4x + 3, rank them from least to greatest

Ratling [72]

Answer:

he rank from least to great based on their axis of symmetry:

0, 1, -3 ⇒ g(x), h(x), f(x)

So, option C is correct.

Step-by-step explanation:

A quadratic equation is given by:

$ax^2+bx+c =0$

Here, a, b and c are termed as coefficients and x being the variable.

Axis of symmetry can be obtained using the formula

$x = \frac{-b}{2a}$

Identification of a, b and c in f(x), g(x) and h(x) can be obtained as follows:

$f(x) = x^2 + 6x - 1$

⇒ a = 1, b = 6 and c = -1

$g(x) = -x^2 + 2$

⇒ a = -1, b = 0 and c = 2

$h(x) = 2^2 - 4x + 3$

⇒ a = 2, b = -4 and c = 3

So, axis of symmetry in $f(x) = x^2 + 6x - 1$ will be:

$x = \frac{-b}{2a}$

x = -6/2(1) = -3

and axis of symmetry in $g(x) = -x^2 + 2$ will be:

$x = \frac{-b}{2a}$

x = -(0)/2(-1) = 0

and axis of symmetry in $h(x) = 2^2 - 4x + 3$ will be:

$x = \frac{-b}{2a}$

x = -(-4)/2(2) = 1

So, the rank from least to great based on their axis of symmetry:

0, 1, -3 ⇒ g(x), h(x), f(x)

So, option C is correct.

Keywords: axis of symmetry, functions

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7 0

4 years ago

The aquarium has 3 more yellow fish than green fish. 60 percent of the fish are yellow. How many green fish are in the aquarium?

balu736 [363]

Answer:

6 green fish

Step-by-step explanation:

green fish = x

(X+3)/60 = x/40

Cross multiplication

60x = 40x+120

subtract 40x on both sides

20x = 120

Divide both sides by 20

x=6

The aquarium has 3 more yellow fish than green fish 6+3 = 9 (9 yelow)

15 fish in total

60% of 15 = 9

40% of 15 = 6

8 0

3 years ago

Simplify 7^8x7^3x7^4/7^9x7^5

MArishka [77]

Please take a photo of this problem... it looks very hard when it is written in the way you did.

<h3>If I am reading this correctly the answer should be 1,977,326,743x^3</h3>

3 0

4 years ago

Read 2 more answers

The table of values represents a function f(x).

TiliK225 [7]

Answer:

- The interval [9, 10] is 1,375% greater than the interval [5, 8].

- The interval [9, 10] is 14.75 times greater than the interval [5, 8].

Step-by-step explanation:

1. To solve this problem you must apply the following formula:

$AverageRateOfChange=\frac{y_{2}-y_{1}}{x_{2}-y_{1}}$

2. Let's calculate the average rate of change of each interval:

a) Interval [9,10]:

$=\frac{11,014-4,052}{10-9}=6,962$

b) Interval [5,8]:

$=\frac{1,491-75}{8-5}=472$

3. The difference is:

$6,962-472=6,490$

4. In percentage:

$(\frac{6,962-472}{472})(100)=1,375%$

5. You have that the interval [9,10] is 14.75 times greater than the interval [5,8], as you can see below:

$\frac{6,962}{472}=14.75$

3 0

4 years ago

Read 2 more answers

If an object has an acceleration of 7 m/s, and a mass of 3 kg, what is its force?

Anuta_ua [19.1K]

Answer:

force = 21 kg m/s^2 = 21 N

Step-by-step explanation:

If an object has mass (m) 3 kg, and its acceleration (a) is 7 m/s^2, its force is given by Newton's second law of motion: Force = M * a

Force = 3 kg * 7 m/s^2= 21 kg * m/s^2

This combinations of units (kg * m/s^2) is defined as Newtons in physics and abbreviated "N".

So we can say that the force on this object is of magnitude 21 N

7 0

3 years ago