The quotient of the sum of 3 and a number and 6 is less than -2

Answers

Answer 1
Answer:

The inequality representing the statement "The quotient of the sum of 3 and a number and 6 is less than -2" is \(x < -15\), indicating that any number less than -15 satisfies the condition.

Let's translate the given statement into an inequality.

"The quotient of the sum of 3 and a number and 6 is less than -2."

Let "x" represent the unknown number.

The sum of 3 and a number is 3 + x.

The quotient of that sum and 6 is \((3 + x)/(6)\).

Now, we can write the inequality:

\((3 + x)/(6) < -2\)

To solve for "x," we can multiply both sides of the inequality by 6 to get rid of the fraction:

\(3 + x < -2 * 6\)

3 + x < -12

Now, subtract 3 from both sides to isolate "x":

x < -12 - 3

x < -15

So, the inequality representing the given statement is x < -15. This means that any number lessthan -15 will make the quotient less than -2.

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Answer 2
Answer: Answer: 3 + n / 6 is less than -2

Explanation:

It’s an inequality:

Quotient: division

Sum: addition

A number: the variable, n

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WHAT IS 4.9% AS A DECIMAL AND A FRACTION

Answers

4.9% as a decimal is 0.049
4.9% as a fraction is 4 9/10
(four and nine - tenths )

Jesse was walking at 1 m/s and speeds up to 5 m/s in 2 seconds. What is Jesse's acceleration?

Answers

a=(v_f - v_i)/(\delta t) = (5m/s - 1m/s)/(2seconds) = (4m/s)/(2seconds)=2m/s^(2)

Please could with some help of: solve 4x + 11 < 23

Answers

When dealing with inequalities your main goal is to isolate x. So you do whatever it takes to get X alone on one side.
4x+11<23
4x<12
x<3

x<3
First, you subtract the 11 from both sides of the equation:
 4x+11<23
     -11<-11
      4x<12
Next, divide both sides of the inequality by 4:
      4x<12
      4  < 4
        x<3

      

If f(x) and g(x) are a quadratic functions but (f + g)(x) produces the graph below, which statement must be true?

Answers

Do you have a photo of the graph?

Answer:

A. The leading coefficients of f(x) and g(x) are opposite

Step-by-step explanation:

Joe solved this linear system correctly.6x+3y=6


y=−2x+2


These are the last two steps of his work.


6x−6x+6=6


6=6


Which statement about this linear system must be true?


a) x must equal 6

b) y must equal 6

c) there is no solution to this system

d) there are infinitely many solutions to this system

Answers

There are infinitely many solutions because the first two equations are actually the same just arranged differently so there's not enough information to know what x or y are in other words they could be anything.

Solve for L: d=LM/R2+R1

Answers

d=LM/(R2+R1)
d(R2+R1)=LM
[
d(R2+R1)]/M=L

Answer:

Given the equation:  d = (LM)/(R_2+R_1)      .....[1]

Cross multiply states that an equation of fractions when each of the side consists of a fraction with a single denominator by multiplying the numerator of each side by the denominator of the other side and equating these two products obtained.

Apply the cross multiply in [1], we get;

d(R_2 +R_1) = LM

Divide both sides by M  we get;

L = (d(R_2+R_1))/(M)

or

L = (dR_2+dR_1)/(M)