Solve the following equation, answer as a reduced, mixed number. Then place the correct number in the box provided. 7(x -2) + 3(x + 2) = 5(x - 6)

Answer: 7(x-2) + 3(x + 2) = 5(x-6)...distribute thru the parenthesis
7x - 14 + 3x + 6 = 5x - 30...combine like terms
10x - 8 = 5x - 30...subtract 5x from both sides
10x - 5x - 8 = -30....add 8 to both sides
10x - 5x = -30 + 8...combine like terms
5x = - 22
x = -22/5 = - 4 2/5

the correct answer is x = - 4 2/5

Related Questions

Rewrite fraction 3/4 with denominator of 12.

3/4*3/3=9/12

Which of the following is a definition of kyphosis? A. A posture disorder characterized by the shoulders being rounded and the back hunched
B. A posture disorder in which the spine curves up the back like a snake
C. A posture disorder characterized by excessive curvature or arch in the lower back
D. None of the above

Answer: A. A posture disorder characterized by the shoulders being rounded and the back hunched.

Step-by-step explanation:

Kyphosis a kind of disorder of the spinal cord. In this the spine gets curved outward which results in the abnormal rounding of the upper back. This condition is called as roundback and in cases of severe curvature this is called as hunchback. This condition can occur in any age but it is commonly seen in adolescence.

Kyphosis is excessive outward curvature of the spine, causing hunching of the back.

What is the difrence between 25 mililleters and 25 centimeters

Well, each centimeter is 10 millimeters. 25cm=250mm

Select the correct answer. Which statement describes the end behavior of the function f(x) = 3|x − 7| − 7?

A. As x approaches negative infinity, f(x) approaches negative infinity.

B. As x approaches negative infinity, f(x) approaches positive infinity.

C. As x approaches positive infinity, f(x) approaches negative infinity.

D. As x approaches positive infinity, f(x) is no longer continuous.

The statement that describes the end behavior of the function f(x) = 3|x − 7| − 7 is B. As x approaches negative infinity, f(x) approaches positive infinity

B. As x approaches negative infinity, f(x) approaches positive infinity is the correction option.

To determine the statement that describes the end behavior of the function f(x) = 3|x − 7| − 7, we will examine each of the options and determine which is correct.

For A. As x approaches negative infinity, f(x) approaches negative infinity.

Infinity in mathematics means something that is unlimited, endless, without bound.

The sign |   | is called modulus which gives the absolute value of the number it encloses without regard to the sign.

Now, if x approaches negative infinity,

that is, on a number line, x approaches the numbers on the negative side, say x approaches -3 to -4 to -5, to ..., -101 to -102 to ... -3000 to -3001 to ... and so on.

Testing for two out of these values, we will determine the end behavior of the function f(x)

From the question,

f(x) = 3|x − 7| − 7

when x = -101

then, f(x) = 3|-101 − 7| − 7

f(x) = 3|-108| − 7

f(x) = 3 × 108 − 7

f(x) = 324 -7

f(x) = 317

Also, when x = -3000

then, f(x) = 3|-3000− 7| − 7

f(x) = 3|-3007| − 7

f(x) = 3 × 3007 − 7

f(x) = 9021 - 7

f(x) = 9014

Here, we observe that as x approaches negative infinity, f(x) does not approach negative infinity but approaches positive infinity

∴ A is not correct

For B. As x approaches negative infinity, f(x) approaches positive infinity.

As shown above, we observe that as x approaches negative infinity, f(x) approaches positive infinity.

∴  B is correct

For C. As x approaches positive infinity, f(x) approaches negative infinity

Now, if x approaches positive infinity,

that is, on a number line, x approaches the numbers on the positive side, say x approaches 3 to 4 to 5, to ..., 101 to 102 to ... 3000 to 3001 to ... and so on

Testing for two out of these values, we will determine the end behavior of the function f(x)

f(x) = 3|x − 7| − 7

when x = 102

f(x) = 3|102 − 7| − 7

f(x) = 3|95| − 7

f(x) = 3 × 95 − 7

f(x) = 285 − 7

f(x) = 278

Also, when x = 3000

f(x) = 3|3000 − 7| − 7

f(x) = 3|2993| − 7

f(x) = 3 × 2993 − 7

f(x) = 8979 − 7

f(x) = 8972

Here, we observe that as x approaches positive infinity, f(x) does not approach negative infinity but approaches positive infinity

∴ C is not correct

For D. As x approaches positive infinity, f(x) is no longer continuous.

As shown above for C, we can observe that f(x) is continuous.

∴ D is not correct

Hence, the statement that describes the end behavior of the function f(x) = 3|x − 7| − 7 is B. As x approaches negative infinity, f(x) approaches positive infinity

B) As x approaches infinity, f(x) approaches negative infinity.

As x approaches negative infinity, f(x) approaches negative infinity.

Step-by-step explanation:

By looking at the given graph, we can infer

As x --> -∞, the y-values tends to -∞

Similarly, as x approaches negative infinity, f(x) approaches negative infinity

Y is value is nothing but the function of x. That is f(x).

As x approaches infinity, f(x) approaches negative infinity.

As x approaches negative infinity, f(x) approaches negative infinity

Hope this helped

Chen is checking a division problem by doing 152x4 equal to 608 plus 2 which is 610 what problem is chen checking?

Step-by-step explanation:

In a division problem,

Dividend ÷ Divisor

We check the answer by the formula,

Dividend = quotient × divisor + remainder,

Here, the verification equation,

610 = 152 × 4 + 2,

By comparing,

We get, dividend = 610, divisor = 4,

The required problem would be,

610 divided by 4 because when you divide that you will get 152

If 16 out of 28 students in Mrs Jones class own a pet predict how many students own pets if there are 350 students in 5th and 6th grade

The answer is 200, hope it helps

5 schools sent some students to a conference. One of the schools sent both boys and girls.
This school sent 16 boys.
The ratio of the number of boys it sent to the number of girls it sent was 1 : 2

The other 4 schools sent only girls.
Each of the 5 schools sent the same number of students.

Work out the total number of students sent to the conference by these 5 schools.

Call the first school "School A." Call the rest of the schools "School B, School C, School D, and school E."

The ratio of boys to girls in school A is 1:2. Therefore:

Solving for x in that equation gives us 32 girls. Therefore, School A sent 48 kids in all.

School B - E have the same numbers. Therefore, the number of students sent to the conference is . Therefore, 240 kids attended the conference.

Hope that helped!

~Cam943, Moderator

Basically how do you simplify

Every number has factors. Some numbers share factors. To simplify a fraction, divide the numerator and the denominator, each separately, by the factors they share in common. The only common factor, at the end, should be 1.

Here's an example:

I first divided by 9 and ten by x.
Here's an example of simplifying an equation:

x+(50/2)-20=2x-3+(9/3)
x+25-20=2x-3+3
Now combine like terms
x+5=2x+0
Move like terms on the same sides
5=2x-x
Combine again
5=x
So, we end with the simplified equation: x=5

Hope that helps :)

. Your school is planning a banquet. The cost of renting a function room is \$240. The cost of food is \$13 for each person attending. Write an expression for the total cost for p people. Then evaluate your expression for 58 people. 13 + 240p; \$13,933 13p + 240; \$994 240p + 13; \$514 240 + 13p; \$754

Option B.

Step-by-step explanation:

Let the people who attended the banquet are p.

Since cost of food is \$13 per person, so cost of p persons = \$13p

The cost of renting a function room is \$240

So the expression which represents the total cost C for p people will be

C = 13p + 240

Now for p = 58 persons we have to evaluate the expression.

C = 13×58 + 240

= 754 + 240

= \$994

Therefore, option B. is the answer.

\$13•58=754. \$754+\$240=\$994