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3 years ago

Which compound inequality is equivalent to |ax-b|>c for all real numbers a, b, and c, where c>0

Mathematics

2 answers:

Doss [256]3 years ago

8 0

Answer:

Step-by-step explanation:

Keywords

compound inequality, absolute value, equivalent

we have

we know that

To find the compound inequality calculate the two solutions of the absolute value

First solution (case positive)

-------> inequality A

Second solution (case negative)

-------> inequality B

Multiply by all expression

therefore

is equivalent to

and

The answer is

The equivalent compound inequality is

garik1379 [7]3 years ago

6 0

Answer:

D. ax-b<-c or ax-b>c is the correct answer.

Step-by-step explanation:

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What happens to the value of the expression 80/h as h increases from a small positive number to a large positive number?

Alex787 [66]

Answer:

The numerator decreases when the denominator increases

Step-by-step explanation:

6 0

2 years ago

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Find the points on the curve y = 2x3 + 3x2 − 12x + 6 where the tangent line is horizontal.

Orlov [11]

N.b., this is copied from an answer I wrote for someone else.

Thinking about the graph of y, the rate of change is zero whenever there is an extremum.

First, differentiate y.

$y'=6x^2+6x-12$

Next, find the zeros of y' by factoring.

$6(x^2+x-2)=0 \\ x = -2, x = 1$

Now, we substitute these x-values into the original equation to find the coordinates.

$(-2,21), (1,-6)$

3 0

3 years ago

A coordinate system, or ____________________, is used to locate points in a 2-dimensional plane.

andreev551 [17]

Answer:

A coordinate system,or Coordinate plain ,is used to locate points in a 2-dimensional plane.

explanation:

A coordinate plain is formed by the intersection of two lines.One line is vertical and the other is horizontal.The vertical line is called y- axis and the horizontal line is called x-axis. It is two dimensional plane,which means it has length and breadth but no depth.The point where both the lines intersect is called the point of origin.Any point can be located on the coordinate plain by numbers(x,y). These pair of numbers are called coordinates.

It is used to plot points and lines.This system explains algebraic concepts .it has four equal divisions called quadrants namely I ,II,III,IV.

6 0

2 years ago

PLEASE HELP ME!!!!!!

Sonja [21]

Answer:

$\huge \red{ c_3 = - 1}$

Step-by-step explanation:

$c_1 = 1 \\ \\ c_n= - 2c_{n-1}+5 \\ \\ c_2 = - 2c_{2-1}+5 \\ \\ c_2 = - 2c_{1}+5 \\ \\ c_2 = - 2(1)+5 \\ \\ c_2 = - 2+5 \\ \\ \huge \purple{c_2 =3} \\ \\ c_3 = - 2c_{3-1}+5 \\ \\ c_3 = - 2c_{2}+5 \\ \\ c_3 = - 2(3)+5 \\ \\ c_3= - 6+5 \\ \\ \huge \red{ c_3 = - 1}$

6 0

2 years ago

Problem page a delivery truck is transporting boxes of two sizes: large and small. the large boxes weigh 45 pounds each, and the

marta [7]

S= number of small boxes
l= number of large boxes

equation 1: s+l=120
equation 2: 15s+45l=3300

solve by elimination, multiply equation 1 by -15.

-15(s+l=120) = -15s-15l=-1800 add to equation 2.

-15s+15s-15l+45l=-1800+3300 = 30l=1500

30l=1500 , l=50

s+l=120, s+50=120 --> s=70

7 0

3 years ago