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3 years ago

15

Which is the correct equation for the graph of f(x), a transformation of the graph of g(x) = log2x? A. f(x) = -log2(x + 2) B. f(

x) = log2(x − 2) + 2 C. f(x) = -log2x + 2 D. f(x) = log2x − 2

1 answer:

krok68 [10]3 years ago

8 0

Answer:

B. f(x) = log2(x − 2) + 2

Step-by-step explanation:

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30 POINTS NEED HELP

KatRina [158]

a. The expression y=5x represent the number of small marbles she has.

b. The expression z=3x+2 represents the number of large marbles she has.

c. Amy has 310 small marbles, 62 medium marbles and 188 large marbles.

Step-by-step explanation:

a. Let x represent the number of medium marbles Amy has. Write an algebraic expression to represent the number of small marbles she has.

Medium marbles = x

Let,

Small marbles = y

According to given statement;

She has five times as many small marbles as medium marbles.

y = 5x Eqn 1

The expression y=5x represent the number of small marbles she has.

b. Write an algebraic expression to represent the number of large marbles she has.

Let,

Large marbles = z

The number of large marbles is two more than three times the number of medium marbles.

z = 3x+2 Eqn 2

The expression z=3x+2 represents the number of large marbles she has.

c. If Amy has a total of 560 marbles, how many of each size does she have?

x+y+z= 560 Eqn 3

Putting value of y and z from Eqn 1 and 2 in Eqn 3

$x+(5x)+(3x+2)=560\\x+5x+3x+2=560\\9x=560-2\\9x=558$

Dividing both sides by 9

$\frac{9x}{9}=\frac{558}{9}\\x=62$

Putting x=62 in Eqn 1

$y=5(62)\\y=310$

Putting x=62 in Eqn 2

$z=3(62)+2\\z=186+2\\z=188$

Amy has 310 small marbles, 62 medium marbles and 188 large marbles.

Keywords: linear equation, substitution method

Learn more about substitution method at:

#LearnwithBrainly

5 0

3 years ago

Tom has a recipe for punch that calls for 1/2 gallon of fruit drink, how much fruit drink will tom need to make 5/2 batches of t

Hunter-Best [27]

Answer:

Tom will need $\dfrac{5}{4}$ gallons of fruit drink.

Step-by-step explanation:

Hint- This question can be solved by unitary method.

Tom has a recipe for punch that calls for $\dfrac{1}{2}$ gallon of fruit drink.

i.e for 1 batch of the punch Tom needs $\dfrac{1}{2}$ gallon of fruit drink.

For $\dfrac{5}{2}$ batch of the punch Tom needs $\dfrac{1}{2}\times \dfrac{5}{2}=\dfrac{5}{4}$ gallons of fruit drink.

Therefore, Tom will need $\dfrac{5}{4}$ gallons of fruit drink.

4 0

3 years ago

A sequence of transformations maps ∆ABC to ∆A′B′C′. The sequence of transformations that maps ∆ABC to ∆A′B′C′ is a reflection ac

7nadin3 [17]

Answer:

the answe is d

Step-by-step explanation:

ye

3 0

2 years ago

The varlables x and y vary Inversely. Use the given values to wrke an equation relating X and y

ZanzabumX [31]

X and y vary inversely means y is inversely proportional to x, this means:

y=k/x, where k is a constant.

We are given that when x=-4, y=7/2, we replace these values to find k.

7/2=k/-4
k= (-4*7)/2=-14

So we have y=-14/x

Therefore, when x=4, y=-14/4= -7/2

4 0

3 years ago

HELP ASAP! Which of the following tables represents a linear function?

____ [38]

Table A, B and D are represents a linear function.

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

There are 4 tables.

Now,

For Table A;

The equation of line is,

⇒ y - y₁ = (y₂ - y₁) / (x₂ - x₁) (x - x₁)

⇒ y - 5 = (2 - 5) / (- 1 - (-2)) (x - (-2))

⇒ y - 5 = - 3/1 (x + 2)

⇒ y - 5 = - 3 (x + 2)

⇒ y - 5 = - 3x - 6

⇒ y = - 3x - 1

For Table B;

The equation of line is,

⇒ y - y₁ = (y₂ - y₁) / (x₂ - x₁) (x - x₁)

⇒ y - 5 = (3 - 5) / (- 1 - (-2)) (x - (-2))

⇒ y - 5 = - 2/1 (x + 2)

⇒ y - 5 = - 2 (x + 2)

⇒ y - 5 = - 2x - 4

⇒ y = - 3x + 1

For Table C;

The equation of line is,

⇒ y - y₁ = (y₂ - y₁) / (x₂ - x₁) (x - x₁)

⇒ y - (-2) = (- 1 - (-2)) / (3 - 3) (x - 3)

⇒ y + 2 = 1/0 (x + 2)

⇒ y - 5 = ∞

Hence, It is not possible.

For Table D;

The equation of line is,

⇒ y - y₁ = (y₂ - y₁) / (x₂ - x₁) (x - x₁)

⇒ y - 0 = (-1 - 0) / ( 1 - 0) (x - 0)

⇒ y - 0 = - 1/1 (x)

⇒ y = - x

Thus, Table A, B and D are represents a linear function.

Learn more about the equation of line visit:

brainly.com/question/18831322

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5 0

1 year ago