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3 years ago

Write an expression for the following. "The sum of a number and 12 times 4

Mathematics

1 answer:

andriy [413]3 years ago

7 0

Answer:

4(x + 12)

Step-by-step explanation:

The sum of a number and 12 indicates addition. Then, it says that this sum will be multiplied by 4. So, we can use x to represent this random number.

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Write the expressions for when you translate the graph of y= x one unit up, one unit down, one unit to the left, one unit to the

Dominik [7]

Answer:

Step-by-step explanation:

One unit up: y = x + 1

One unit down: y = x - 1

One unit to the left: y = x + 1

One unit to the right: y = x - 1

4 0

3 years ago

What is the value of the digit 2 in the number 425,611?

maw [93]

Answer:

20,000 or 10,000

Step-by-step explanation:

The 2 is in the ten thousandth place, but the value is 20,000

7 0

3 years ago

Read 2 more answers

If f(x)=x+7 and g(x)= 1 divided by x-13, what is the domain of (f•g)(x)?

andrew11 [14]

<h2>Hello!</h2>

The answer is:

The domain of the function is all the real numbers except the number 13:

Domain: (-∞,13)∪(13,∞)

This is a composite function problem. To solve it, we need to remember how to composite a function. Composing a function consists of evaluating a function into another function.

Composite function is equal to:

$f(g(x))=(f\circ} g)(x)$

So, the given functions are:

$f(x)=x+7\\\\g(x)=\frac{1}{x-13}$

Then, composing the functions, we have:

$f(g(x))=\frac{1}{x-13}+7\\$

Therefore, we must remember that the domain are all those possible inputs where the function can exists, most of the functions can exists along the real numbers with no rectrictions, however, for this case, there is a restriction that must be applied to the resultant composite function.

If we evaluate "x" equal to 13, the denominator will tend to 0, and create an indetermination since there is no result in the real numbers for a real number divided by 0.

So, the domain of the function is all the real numbers except the number 13:

Domain: (-∞,13)∪(13,∞)

Have a nice day!

5 0

3 years ago

someone please help, i don’t understand this and i’m stuck. this is my last homework i need to do for today. if you can help tha

Ad libitum [116K]

Answer:

0.38 and 0.7 maybe it's the answer

Step-by-step explanation:

power of 10 in above questions are 2 and 3 respectively

5 0

3 years ago

The length of a rectangle is 5 meters less than twice the width. If the area of the rectangle is 273 meters, find the dimensions

AleksandrR [38]

The length of the rectangle = 16 meters

The width of the rectangle = 10.5 meters

Step-by-step explanation:

Given that,

The Area of the rectangle is 273.

Step 1 :

Let, the width of the rectangle be 'x'

The length of the rectangle is 2x - 5

Step 2 :

Area of the rectangle = length $\times$ width

273 = (2x - 5) x

273 = 2x^2 - 5x

Step 3 :

The equation formed is 2x^2 - 5x -273 = 0

a= coefficient of x^2 = 2

b= coefficient of x = -5

c = constant = -273

Find the roots of the equation, to find the width.

Step 4 :

Find the roots using factorizing method,

ac = 2 $\times$ -273 = -546 and b= -5

Factorizing -546 as -26 $\times$ 21

The product of -26 $\times$ 21 = -546

The sum of -26 + 21 = -5

Step 5 :

The roots of the equation 2x^2 - 5x -273 = 0 are x= -26/2 and x= 21/2

The values of x are x= -13 and x= 10.5

Since the width cannot be a negative value, neglect x= -13

Step 6 :

Therefore,

The width of the rectangle = 10.5 meters

The length of the rectangle = 2x-5

= 2(10.5) - 5

= 21 - 5

length = 16 meters

5 0

3 years ago