1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
zzz [600]
3 years ago
5

Evaluate the expression for the given value of the variable 9 | 9 -8x | = 2x + 3

Mathematics
1 answer:
Gala2k [10]3 years ago
7 0

Steps to solve:

9|9 - 8x| = 2x + 3

~Divide 9 to both sides

|9 - 8x| = 2/9x + 1/3

~Solve absolute value (part one)

|9 - 8x| = 2/9x + 1/3

-74/9x + 9 = 1/3 (Subtracted 2/9x to both sides)

-74/9x = -26/3 (Subtracted 9 to both sides)

x = 39/37 (Multiplied 37/39 to both sides)

~Solve absolute value (part two)

|9 - 8x| = -(2/9x + 1/3)

|9 - 8x| = -2/9x - 1/3 (Distributed negative sign to left side)

-70/9x + 9 = 11/3 (Added 2/9x to both sides)

-70/9x = -28/3 (Subtracted 9 to both sides)

x = 6/5 (Multiplied 9/-70 to both sides)

Therefore, the solutions are x = 39/37 and x = 6/5

Best of Luck!

You might be interested in
How Do I solve this I am quite confused
Kazeer [188]

Answer:

$11,714

Step-by-step explanation:

C(x) = 0.7x² - 462x + 87,944

this is a quadratic equation that opens up

the vertex will be the minimum

From the quadratic formula the x coordinate of the vertex is

x = -b/2a

x = 462/(2 * 0.7)

x = 330

Plug in

c(330) = 0.7(330²) - 462(330) + 87,944

c(330) = 11,714

$11,714

5 0
3 years ago
The graph of f(x) = x2 was transformed tu
tia_tia [17]

Answer:

i: the domain.

iii: the axis of symmetry.

Step-by-step explanation:

We have the function:

f(x) = x^2

The domain of this function is the set of all real numbers, and the range is:

R: [0, ∞)

(because 0 is the minimum of x^2)

Now we have the transformation:

d(x) = f(x) + 9 = x^2 + 9

Notice that this is only a vertical translation of 9 units, then there is no horizontal movement, then the axis of symmetry does not change.

Also, in d(x) there is no value of x that makes a problem, so the domain is the set of all real numbers, then the domain does not change.

And d(x) = x^2 + 9 has the minimum at x = 0, then the minimum is:

d(0) = 0^2 + 9 = 9

Then the range is:

R: [9,  ∞)

Then the range changes.

So we can conclude that the attributes that will be the same for f(x) and d(x) are:

i: the domain.

iii: the axis of symmetry.

8 0
3 years ago
Solve the following exponent:<br><br> 70
Alika [10]

Answer  70 = 7070

Step-by-step explanation: denotes how many times to multiply the base (70)

7 0
2 years ago
Plz answer Quick! WILL GIVE BRAINIEST! ANSWER CORRECTLY! TYSM &lt;333333333
zubka84 [21]

Answer:

<u>4-$55.00</u>

<u>6-$65.00</u>

<u>8-$65.00</u>

Step-by-step explanation:

4 0
3 years ago
Patty sells pies to customers at a price of $16 per pie. She starts the day with $90 in her cash register. How many pies does Pa
Gala2k [10]
There are two ways you can do this question, you can one, subtract the 90 from 538 which should give you 448 then you can divide 448 by 16. Your answer should be 28 pies
5 0
2 years ago
Other questions:
  • Use the distributive property to simplify the following expression: 5(x + 2)
    14·1 answer
  • Twelve added to a number equals 18 find the number
    13·2 answers
  • Write an equation in slope-intercept form with a
    15·1 answer
  • You are building a rectangular garden against the back of your house, using 80 feet of fencing. The area of the garden needs to
    8·2 answers
  • What is the equation in a point-slope form of the line that passes through the point (-8, 5) and has a slope of 12?
    13·1 answer
  • Which of the following data could be graphed using a dot plot? Select all that apply.
    15·1 answer
  • (please help) look at the picture below
    6·1 answer
  • Hii please help i’ll give brainliest
    5·1 answer
  • Please help me out it would make my day!​
    8·1 answer
  • A.2.00<br>b. 2.50<br>c 5.25<br>d 10.50 ​
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!