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3 years ago

Which variable expression represents the word phrase? the sum of 12 and the quotient of 9 and a number

Mathematics

2 answers:

iris [78.8K]3 years ago

6 0

"Sum" tells us it's an addition problem:

One term is 12 and the other is 9/x

SO

The expression is:
12+9/x

Evgesh-ka [11]3 years ago

3 0

Answer:

The required expression is $12+\frac{9}{y}$ .

Step-by-step explanation:

Consider the provided phrase.

The sum of 12 and the quotient of 9 and a number

Let the number is y and the quotient of 9 and a number can be written as:

$\frac{9}{y}$

Thus, the sum of 12 and the quotient of 9 and a number can be written as:

$12+\frac{9}{y}$

Hence, the required expression is $12+\frac{9}{y}$ .

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Tom determines the system of equations below has two solutions, one of which is located at the vertex of the parabola.

Rus_ich [418]

Answer:

b must equal 7 and a second solution to the system must be located at (2, 5).

Step-by-step explanation:

Rearranging the first equation:

y = (x - 3)^2 + 4

From this we see that the vertex is at the point (3,4).

So one solution of equation 2 is (3 ,4).

Substituting in equation 2:

4 = -3 + b

b = 7.

So equation 2 is y = - x + 7.

Now we check if (2, 5) is on this line:

5 = -2 + 7 = 5 , therefore (2, 5) is on this line.

Verifying if (2, 5) is also on y = (x - 3)^2 + 4:

5 = (2 - 3)^2 + 4 = 1 + 4 = 5

- so it is. and a second solution to the system is (2, 5).

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2 years ago

Simplify 1)5x+3=x+13 2)5/2x-1/X =1/6

Artyom0805 [142]

Step-by-step explanation (Question 1):

Step 1: (Question 1): Subtract x from both sides.

5x+3=x+13

5x+3−x=x+13−x

4x+3=13

Step 2: (Question 1): Subtract 3 from both sides.

4x+3−3=13−3

4x=10

Step 3: (Question 1): Divide both sides by 4.

4x/4 = 10/4

FIRST ANSWER: x = 5/2

Step-by-step explanation (Question 2):

Step 1: (Question 2): Multiply by LCM

15x^2 - 6 = x

Step 2: (Question 2): Solve 15x^2

15x^2 - 6 = x:

x = 2/3

x = -3/5

Step 3: (Question 2): Solve

ANSWER: x=0.666667 or x=−0.6

See Attachment 1 for question 1 steps (FULL)

See Attachment 2 for question 2 steps (FULL)

Answer:

1) x = 5/2

2) x=0.666667 or x=−0.6

Hope this helps.

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2 years ago

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The vertex of this parabola is at (-3, -2). which of the following could be its equation?

professor190 [17]

Answer:

Since the vertex is (-3,-2) The x value should be +3

7 0

2 years ago

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The circumference of a circle is 37. 68 ft. What is the radius of the circle?.

mixer [17]

Answer:

r = 6 ft

Step-by-step explanation:

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2 years ago

if each side of the cube shown above has the same length as the measured side what is the approximate volume of the cube

klemol [59]

Answer:

The measured side is not shown, so i will answer in a general way.

A cube is a 3-dimensional object with 6 square faces.

You know that all the sides of a square have the same length, then is the same for the cube.

To calculate the volume of a cube, we start with the area of the base.

The base is a square of sidelength L (Suppose that L is the length of the measured side)

The area of the base is:

A = L^2.

To find the volume, we must multiply the area of the base by the height of the fire (because the section of the base does not change).

And the height of the cube is also L.

Then the volume is:

V = L*a = L^3

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3 years ago