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
Naily [24]
4 years ago
7

What is the factored form of 16x2 – 16x – 12?

Mathematics
1 answer:
crimeas [40]4 years ago
8 0
Q1. The answer is 4(2x - 3)(2x + 1)

16x² – 16x – 12 = 4 * 4x² - 4 * 4x - 4 * 3 =
                          = 4(4x² - 4x - 3) =
                          = 4(4x² + 2x - 6x - 3) = 
                          = 4(2x * 2x + 2x - (2x * 3 + 3)) =
                          = 4(2x(2x + 1) - (3(2x + 1))) =
                          = 4((2x + 1)(2x - 3)) =
                          = 4(2x - 3)(2x + 1)


Q2. The answer is 3(x + 8)(x - 1)

3x² + 21x – 24 = 3 * x² + 3 * 7x - 3 * 8 =
                         = 3(x² + 7x - 8) =
                         = 3(x *x - x + 8x - 8) =
                         = 3((x(x - 1) + 8(x - 1)) =
                         = 3(x + 8)(x - 1)
You might be interested in
A number line going from negative 2 to positive 2 in increments of 1. There are 2 equal spaces between each number. The line con
Assoli18 [71]

Answer:

ITS A B F ON EDGE GUYS THE PEOPLE IN COMMENTS RIGHT!!!!!1

5 0
3 years ago
A colony of bacteria has 10,000 bacteria and is growing exponentially. The inequality 10,000(4x) ≥ 320,000 represents the hours,
Tresset [83]

Answer:

The correct option is;

[2.5, ∞)

Step-by-step explanation:

The given exponential equation can be expressed as follows;

10,000 × 4ˣ ≥ 320,000

Therefore we have;

4ˣ ≥ 320,000/10,000

4ˣ ≥ 32

㏒(4ˣ) ≥ ㏒(32)

x·㏒4 ≥ ㏒(32)

x ≥ ㏒(32)/㏒4

∴ x ≥ 2.5

Therefore, the interval the colony will have at least 320,000 bacteria is where x ≥ 2.5 or 2.5 ≤ x < ∞ which gives, the interval  [2.5, ∞)

8 0
4 years ago
Assume y≠60 which expression is equivalent to (7sqrtx2)/(5sqrty3)
Drupady [299]

Answer:

The equivalent will be:

\frac{\sqrt[7]{x^2}}{\sqrt[5]{y^3}}=\left(\:x^{\frac{2}{7}}\right)\left(y^{-\frac{3}{5}}\right)

Therefore, option 'a' is true.

Step-by-step explanation:

Given the expression

\frac{\sqrt[7]{x^2}}{\sqrt[5]{y^3}}

Let us solve the expression step by step to get the equivalent

\frac{\sqrt[7]{x^2}}{\sqrt[5]{y^3}}

as

\sqrt[7]{x^2}=\left(x^2\right)^{\frac{1}{7}}      ∵ \mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{a}=a^{\frac{1}{n}}

\mathrm{Apply\:exponent\:rule:\:}\left(a^b\right)^c=a^{bc},\:\quad \mathrm{\:assuming\:}a\ge 0

=x^{2\cdot \frac{1}{7}}

=x^{\frac{2}{7}}

also

\sqrt[5]{y^3}=\left(y^3\right)^{\frac{1}{5}}         ∵  \mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{a}=a^{\frac{1}{n}}

\mathrm{Apply\:exponent\:rule:\:}\left(a^b\right)^c=a^{bc},\:\quad \mathrm{\:assuming\:}a\ge 0

=y^{3\cdot \frac{1}{5}}

=y^{\frac{3}{5}}

so the expression becomes

\frac{x^{\frac{2}{7}}}{y^{\frac{3}{5}}}

\mathrm{Apply\:exponent\:rule}:\quad \:a^{-b}=\frac{1}{a^b}

=\left(\:x^{\frac{2}{7}}\right)\left(y^{-\frac{3}{5}}\right)            ∵ \:\frac{1}{y^{\frac{3}{5}}}=y^{-\frac{3}{5}}

Thus, the equivalent will be:

\frac{\sqrt[7]{x^2}}{\sqrt[5]{y^3}}=\left(\:x^{\frac{2}{7}}\right)\left(y^{-\frac{3}{5}}\right)

Therefore, option 'a' is true.

5 0
3 years ago
Cathy has a nickel, a dime, and a quarter in her purse. She randomly picks a coin, replaces it, and then picks another coin. The
satela [25.4K]

You could 3•2 because your it two times =6 than it’s 2\6 make more smaller 1/3 it will be. Than you get .3333 repeating

6 0
3 years ago
Read 2 more answers
Please help me with this. This problem is actually making my life worst at the moment. Please, someone, help me.
Xelga [282]
OMG !!!!!!! I HAVE THE SAME QUESTION TO ASK

7 0
4 years ago
Other questions:
  • jack currently had $80 in his saving account he plans to save an additional $5 each week.write a function to represent the situa
    5·1 answer
  • 66.
    6·1 answer
  • Point B is between A and C.<br> AB=4x - 6, BC=2x+2, and AC=44 in.<br> Find AB and BC.
    12·1 answer
  • Someone answer these
    15·2 answers
  • Can someone plz help me I don’t understand how to do this and I am really struggling with the online stuff
    9·1 answer
  • Write and solve a proportion to answer the question.<br><br> 36 is 0.9% of what number w?
    9·1 answer
  • I need to know the answer to this please ASAP
    5·1 answer
  • What is the word capacity mean​
    10·1 answer
  • Perimeter is used to find the
    8·2 answers
  • Angle KLM and angle MLN are a linear pair.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!