Which letter accurately describes how w(x) = log4(x + 5) – 3 is translated from p(x) = log4(x).

For numbers 14a-14d , tell which expressions require you to rename mixed numbers before you can subtract. Find each difference.

ExtremeBDS [4]

Answer:

14b and 14d require renaming mixed numbers; 14a) 3 3/20; 14b) 2 1/8; 14c) 1 13/24; 14d) 3 3/6 = 3 1/2

Step-by-step explanation:

14a) First we find the least common denominator (LCD). The first thing that both 5 and 4 will divide into is 20; this is our LCD.

It takes 4 5's to make 20; multiplying the numerator by 4, we have 5 8/20. It takes 5 4's to make 20; multiplying the numerator by 5, we have 2 5/20. Subtracting these,

5 8/20 - 2 5/20 = 3 3/20

14b) We must write the whole number 5 as a mixed number with a denominator of 8; 5 = 4 8/8. This gives us

4 8/8 - 2 7/8 = 2 1/8

14c) The LCD of 3 and 8 is 24. It takes 8 3's to make 24; multiplying the numerator by 8, we have 7 16/24. It takes 3 8's to make 24; multiplying the numerator by 3, we have 6 3/24. Subtracting we have

7 16/24 - 6 3/24 = 1 13/24.

14d) The LCD of 6 and 3 is 6. Since the first mixed number has a denominator of 6, we leave it: 9 1/6. It takes 2 3's to make 6; multiplying the numerator by 2, we have 5 4/6. Subtracting we would have

9 1/6 - 5 4/6

We are subtracting a larger fraction from a smaller one. This means we borrow a whole from the whole number, making it 8; this makes the fraction (6+1)/6 = 7/6. This gives us

8 7/6 - 5 4/6 = 3 3/6 = 3 1/2

6 0

3 years ago

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What is the value of x in the equation −x = 4 − 3x + 6? A. 5 B. 10 C. −5 D. −10

Ann [662]

$-x = 4-3x+6$

Refine $4-3x + 6$

$-3x = 4+6$

$-3x = 10$

Add $3x$ to both sides:

$-x + 3x = -3x + 10 + 3x$

$2x = 10$

Divide both sides by 2 :

$\frac{2x}{2} = \frac{10}{5}$

$x = 5$

Answer a

hope this helps!

8 0

3 years ago

Read 2 more answers

Write the equation of the graph shown below in factored form. a graph that starts at the top left and continues down through the

Brut [27]

Answer:

(d) f(x) = (x − 3)^2(x − 2)(x − 1)

Step-by-step explanation:

In this context, a crossing of the axis at x=p means there is a factor of (x-p). A "touch" of the axis at x=q means there is a factor of (x -q)^2.

A crossing at x=1 and x=2, and a touch at x=3 means the factors are ...

f(x) = (x -1)(x -2)(x -3)^2 . . . . . matches the last choice

8 0