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
Ann [662]
3 years ago
13

What are the solutions to 16x^2-12x=54? Select all the apply.

Mathematics
1 answer:
NARA [144]3 years ago
5 0

Answer:

-3/2 or 9/4

Step-by-step explanation:

16x^2 - 12x = 54

Now, we take 54 to the left side. It leads the right side to become "0". As 54 is a positive, it will negative as we change the side.

16x^2 - 12x - 54 = 0

Dividing both the sides by 2, we get,

8x^2 - 6x - 27 = 0

Now, we use factorization method,

8x^2 + 12x - 18x - 27 = 0

or, 4x (2x + 3) - 9 (2x + 3) = 0

or, (2x + 3) (4x - 9) = 0

Now, 2x + 3 = 0; or, 4x - 9 = 0

2x = - 3; or, 4x = 9 (changing the sides)

or, x = - (3÷2); or, x = (9÷4)

Therefore, the solution set for x is either - 3/2 or 9/4

You might be interested in
Which expression is equivalent to
lutik1710 [3]

Answer:

\frac{\sqrt[4]{3x^2} }{2y}

Step-by-step explanation:

We can simplify the expression under the root first.

Remember to use  \frac{a^x}{a^y}=a^{x-y}

Thus, we have:

\sqrt[4]{\frac{24x^{6}y}{128x^{4}y^{5}}} \\=\sqrt[4]{\frac{3x^{2}}{16y^{4}}}

We know 4th root can be written as "to the power 1/4th". Then we can use the property  (ab)^{x}=a^x b^x

<em>So we have:</em>

<em>\sqrt[4]{\frac{3x^{2}}{16y^{4}}} \\=(\frac{3x^{2}}{16y^{4}})^{\frac{1}{4}}\\=\frac{3^{\frac{1}{4}}x^{\frac{1}{2}}}{2y}\\=\frac{\sqrt[4]{3x^2} }{2y}</em>

<em />

<em>Option D is right.</em>

8 0
3 years ago
PLEASE HELP ASAP!!<br><br> Which graph represents the function of f(x) = 9x^2-36 / 3x+6
-BARSIC- [3]
I think its the second one... (hope its right)

5 0
3 years ago
Read 2 more answers
Find the slope of a ski run that descends 15 feet for every horizontal change of 24 feet
Setler79 [48]
Slope=rise/run
rise=-15 feet (since it's downhill)
run=24 feet
slope=-15/24=-5/8
slope=-5/8
6 0
3 years ago
An element with a mass of 130 grams decays by 22% per minute. How much of the element is remaining after 7 minutes, to the neare
In-s [12.5K]
I think you meant to put this problem into the chemistry category. This is the mathematics category.
8 0
2 years ago
Please help I really need help
aliina [53]

Answer:

D

Step-by-step explanation:

integers are a whole number; a number that is not a fraction.

5 0
2 years ago
Other questions:
  • Find the constant of variation k for the direct variation
    6·1 answer
  • How much money did Sebastian save from the end of week 4 through week 7?
    10·1 answer
  • What is the range of 1/2 1/8 1/2 5/8 1/4 1/4 1/2 3/4 1/8 5/8 1/4 1/2
    12·2 answers
  • Candidate A received 15,000 fewer votes than
    8·1 answer
  • Someone help me? Fifth grade simplifying fractions
    15·2 answers
  • :(((( i can't get this one! Please help...
    8·1 answer
  • Find the missing number of each unit rate 48/3 = ?/1 56/8 = ?/1
    5·1 answer
  • 7/52 as a mixed number
    8·2 answers
  • Improper fraction that equals 2 5/8
    5·1 answer
  • To the nearest cubic​ centimeter, what is the volume of the regular hexagonal​ prism?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!