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3 years ago

What value of x makes this equation true? 5x − 12 = 48

Mathematics

2 answers:

zvonat [6]3 years ago

6 0

The answer should be 12

scZoUnD [109]3 years ago

4 0

Answer:

5x - 12= 48

5x- 12 +12 = 48 +12

solution= 12

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If f(x)=logx, explain the transformation that occurs when f(0.25(x-5))+3

nevsk [136]

Answer:

First, let's explain the transformations in a general way:

Vertical shift.

If we have a function f(x), a vertical shift of N units is written as:

g(x) = f(x) + N

This will move the graph of f(x) up or down a distance of N units.

if N is positive, then the shift is upwards

if N is negative, then the shift is downwards.

Horizontal shift.

If we have a function f(x), a horizontal shift of N units is written as:

g(x) = f(x + N)

This will move the graph of f(x) to the right or left a distance of N units.

if N is positive, then the shift is to the left

if N is negative, then the shift is to the right.

Horizontal dilation/contraction.

For a function f(x), an horizontal contraction dilation is written as:

g(x) = f(k*x)

where:

k is called the "scale factor"

If k < 1, then the graph "dilates" horizontally.

if k > 1, then the graph "contracts" horizontally.

Now, in this problem we have:

f(x) = log(x)

And the transformed function is:

g(x) = f(0.25*(x - 5)) + 3

Then, the transformations that take place here are, in order:

Vertical shift of 3 units up:

g(x) = f(x) + 3.

Horizontal shift of 5 units to the right:

g(x) = f(x - 5) + 3

Horizontal dilation of scale factor 0.25

g(x) = f( 0.25*(x - 5)) + 3

replacing f(x) by log(x) we have

g(x) = log(0.25*(x - 5)) + 3.

6 0

3 years ago

Determining a Number of Solutions

lbvjy [14]

Answer:

Infinitely Many Solutions

Step-by-step explanation:

4 0

4 years ago

Stewart is making banana pudding for a family reunion. Her recipe uses 1.5 bananas per dish of pudding. If one dish of pudding c

Rina8888 [55]

Answer: She will need about 15 bananas to feed 250 people that will be at the reunion.

Step-by-step explanation:

Let be "x" the number of bananas Stewart will need to feed 250 people that will be at the reunion.

According to the infomation provided in the exercise, we know that she needs 1.5 bananas per dish of pudding and one dish of pudding can feed 25 people.

Knowing this, we can set up the following proportion:

$\frac{1.5}{25}=\frac{x}{250}$

Finally, we must solve for "x":

$(250)(\frac{1.5}{25})=x\\\\x=15$

Therefore, she will need about 15 bananas to feed 250 people that will be at the reunion.

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An expression is shown below (x^4/3)(x^2/3). What is the product of the two factors?

Flauer [41]

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3 years ago

Suppose P(not E) =65%. Find P (E)

Anestetic [448]

what does E equal?? just like that the answer would be 0.65E

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