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
balu736 [363]
3 years ago
15

Which number line represents the solution set for the inequality 3x<-9

Mathematics
2 answers:
KiRa [710]3 years ago
6 0

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

3x < -9

solve for x

Divide by 3 both sides

3x/3 < -9/3

x < -3

The solution is the interval------>(-infinite, -3) -

All real numbers less than -3

In a number line the solution is the shaded area to the left of the dashed line (open circle)

see the attached figure

r-ruslan [8.4K]3 years ago
3 0
The answer would be the 3rd number line or "C"
You might be interested in
Complete the identity.<br> 1) sec^4 x + sec^2 x tan^2 x - 2 tan^4 x = ?
Alecsey [184]

Answer:

See Explanation

Step-by-step explanation:

<em>Question like this are better answered if there are list of options; However, I'll simplify as far as the expression can be simplified</em>

Given

sec^4 x + sec^2 x tan^2 x - 2 tan^4 x

Required

Simplify

(sec^2 x)^2 + sec^2 x tan^2 x - 2 (tan^2 x)^2

Represent sec^2x with a

Represent tan^2x with b

The expression becomes

a^2 + ab- 2 b^2

Factorize

a^2 + 2ab -ab- 2 b^2

a(a + 2b) -b(a+ 2 b)

(a -b) (a+ 2 b)

Recall that

a = sec^2x

b = tan^2x

The expression (a -b) (a+ 2 b) becomes

(sec^2x -tan^2x) (sec^2x+ 2 tan^2x)

..............................................................................................................................

In trigonometry

sec^2x =1  +tan^2x

Subtract tan^2x from both sides

sec^2x - tan^2x =1  +tan^2x - tan^2x

sec^2x - tan^2x =1

..............................................................................................................................

Substitute 1 for sec^2x - tan^2x in (sec^2x -tan^2x) (sec^2x+ 2 tan^2x)

(1) (sec^2x+ 2 tan^2x)

Open Bracket

sec^2x+ 2 tan^2x ------------------This is an equivalence

(secx)^2+ 2 (tanx)^2

Solving further;

................................................................................................................................

In trigonometry

secx = \frac{1}{cosx}

tanx = \frac{sinx}{cosx}

Substitute the expressions for secx and tanx

................................................................................................................................

(secx)^2+ 2 (tanx)^2 becomes

(\frac{1}{cosx})^2+ 2 (\frac{sinx}{cosx})^2

Open bracket

\frac{1}{cos^2x}+ 2 (\frac{sin^2x}{cos^2x})

\frac{1}{cos^2x}+ \frac{2sin^2x}{cos^2x}

Add Fraction

\frac{1 + 2sin^2x}{cos^2x} ------------------------ This is another equivalence

................................................................................................................................

In trigonometry

sin^2x + cos^2x= 1

Make sin^2x the subject of formula

sin^2x= 1  - cos^2x

................................................................................................................................

Substitute the expressions for 1  - cos^2x for sin^2x

\frac{1 + 2(1  - cos^2x)}{cos^2x}

Open bracket

\frac{1 + 2  - 2cos^2x}{cos^2x}

\frac{3  - 2cos^2x}{cos^2x} ---------------------- This is another equivalence

8 0
3 years ago
Mikey bought 4 of the 500 raffle tickets sold to
Zina [86]

Answer:

4/500

Step-by-step explanation:

6 0
3 years ago
2<br>If A=<br>4 3<br>find A1 using<br>elementary row operations.​
MA_775_DIABLO [31]

Answer:   A^{-1}=\left[\begin{array}{cc}\frac{3}{2}&-\frac{1}{2}\\-2&1\end{array}\right]

<u>Step-by-step explanation:</u>

                  \left[\begin{array}{cc}2&1\\4&3\end{array}\right]=\left[\begin{array}{cc}1&0\\0&1\end{array}\right]

\dfrac{1}{2}Row\ 1\rightarrow\left[\begin{array}{cc}1&\frac{1}{2}\\4&3\end{array}\right]=\left[\begin{array}{cc}\frac{1}{2}&0\\0&1\end{array}\right]

Row\ 2 -4 \ Row\ 1\rightarrow \left[\begin{array}{cc}1&\frac{1}{2}\\0&1\end{array}\right]=\left[\begin{array}{cc}\frac{1}{2}&0\\-2&1\end{array}\right]

Row\ 1-\dfrac{1}{2}\ Row\ 2 \rightarrow \left[\begin{array}{cc}1&0\\0&1\end{array}\right]=\left[\begin{array}{cc}\frac{3}{2}&-\frac{1}{2}\\-2&1\end{array}\right]

5 0
3 years ago
which equation represents this sentence? five more than three times the number is one-third more than the sum of the number and
lidiya [134]
3n + 5 = (n + n) + 1/3
4 0
3 years ago
What is the area, in square inches, of the rectangle below?
chubhunter [2.5K]
The answer would be D i believe
6 0
2 years ago
Other questions:
  • What is the coefficient of the term of degree 7 in the polynomial below? 2x^6 + 2 – 4x^2 + 5x^7 – 4x A. 2 B. 4 C. 6 D. 5
    8·2 answers
  • 20 points! I would really like some help! :) (Question attached below)
    8·1 answer
  • Ana’s dachshund weighed 5 5/8 pounds when it was born . By age 4 the dog weighed 6 times as much. Fill each box with a number or
    10·1 answer
  • Stan, Liam, and Louise are competing in a cooking competition. They all used different amounts of flour from a can containing 5
    13·1 answer
  • Which is the final line of her partial product and the correct answer? A. 0 . 4 × 2 = 0 . 8 ; 9.6 B. 0 . 4 × 0 . 2 = 0 . 08 ; 8.
    7·1 answer
  • \overleftrightarrow{AC} AC A, C, with, \overleftrightarrow, on top is tangent to circle OOO at point CCC. What is the length of
    12·2 answers
  • Math question please answer thanks
    13·2 answers
  • Lin bought x grams of sugar. Jada bought 3⁄4 more than that. Select ​all​ equations that represent the relationship between the
    6·1 answer
  • PLEASE HELP ME I NEED HELPPPO
    10·2 answers
  • Can someone help me with this problem!
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!