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
krok68 [10]
3 years ago
6

Solve 7x + 2 < 9x - 4

Mathematics
1 answer:
Alexus [3.1K]3 years ago
5 0

Answer:

\boxed{\bold{x>3}}

Step By Step Explanation:

Subtract 2 From Both Sides

\bold{7x+2-2

Simplify

\bold{7x

Subtract 9x From Both Sides

\bold{7x-9x

Simplify

\bold{-2x

Multiply Both Sides By -1 (Reverse Inequality)

\bold{\left(-2x\right)\left(-1\right)>\left(-6\right)\left(-1\right)}

Simplify

\bold{2x>6}

Divide Both Sides By 2

\bold{\frac{2x}{2}>\frac{6}{2}}

Simplify

\bold{x>3}

- Mordancy

You might be interested in
Whats the linear equations of y=-2x+19
vodka [1.7K]
It would be a linear function
6 0
3 years ago
If a = − 3 and b=−i, then find the value of a^ 3b in fully simplified form.
Snezhnost [94]

Answer:

27i.

Step-by-step explanation:

a^3b = (-3)^3 * -i

= -27 * -i

= 27i.

3 0
2 years ago
If tan a = 3/4 find the value of sin 3a
Effectus [21]
T=-1

sinA=sin(π/2-3A), A=2nπ+π/2-3A, 4A=2nπ+π/2, A=nπ/2+π/8 where n is an integer.

Also, π-A=2nπ+π/2-3A, 2A=2nπ-π/2, A=nπ-π/4.

The hard way:

cos3A=cos(2A+A)=cos(2A)cosA-sin(2A)sinA.

Let s=sinA and c=cosA, then s²+c²=1.

cos3A=(2c²-1)c-2c(1-c²)=c(4c²-3).

s=c(4c²-3) is the original equation.

Let t=tanA=s/c, then c²=1/(1+t²).

t=4c²-3=4/(1+t²)-3=(4-3-3t²)/(1+t²)=(1-3t²)/(1+t²).

So t+t³=1-3t², t³+3t²+t-1=0=(t+1)(t²+2t-1).

So t=-1 is a solution.

t²+2t-1=0 is a solution, t²+2t+1-1-1=0=(t+1)²-2, so t=-1+√2 and t=-1-√2 are solutions.

Therefore tanA=-1, -1+√2, -1-√2 are the three solutions from which:

A=-π/4, π/8, -3π/8 radians and these values +2πn where n is an integer.

Replacing π by 180° converts the solutions to degrees.

3 0
3 years ago
PLZ HELP ME SCHOOL IS RIGHT AROUND THE CORNER
Jobisdone [24]

Rice vinegar is 1.5 units out of 1.5 + 5 = 6.5 units of vinegar. So in 17 ounces of the mixture, the amount of rice vinegar will be

\dfrac{1.5}{6.5} \cdot 17 = 3.923...

Answer: 3.9 ounces of rice vinegar

5 0
3 years ago
Read 2 more answers
Find the 31st term of the following sequence.<br><br> 9, 15, 21, ...
Svet_ta [14]

Notice that the above sequence is arithmetic because the common difference: d is constant.

d = second term - first term.

= 15 - 9

= 6

The general term of an arithmetic sequence is,

a_{n} =a_{1} +(n-1)d

Where , nth term = a_{n}

a_{1} = First term

and d = common difference.

The given sequence is: 9, 15, 21, ...

Here a_{1} = 9,

d = 6

We need to find the 31st term. So, n = 31.

Next step is to plug in these values in the above formula. Therefore,

a_{31} =9 +(31-1)*6

= 9 + 30* 6

= 9 + 180

= 189

So, 31st term of this sequence is 189.

Hope this helps you.

4 0
3 years ago
Other questions:
  • Ann works at a store in the mall and earns a wage of $8 an hour. She earns
    5·1 answer
  • At 2 p.m., a flag pole casts a shadow that is 155% of its actual height. If the shadow is at 23.25 ft, what is the actual height
    6·1 answer
  • What does it mean when ph is slightly acidic?
    10·1 answer
  • Plot the intercept x+5y=5​
    13·2 answers
  • A book 2 3/7 inches think and another book 3.56 inches thick , if he stacks the books about how tall will they be
    6·1 answer
  • What are the values of m and n in the matrix addition below?
    5·1 answer
  • Find the 75th term of the arithmetic sequence -1, 15, 31, ...−1,15,31,...
    7·1 answer
  • Please answer correctly see image bellow.
    8·1 answer
  • Find p(1) if the polynomial is p (X)=x2-3x+6<br><br>​
    15·1 answer
  • HELP THIS IS URGENT!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! :((((((((((((((((
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!