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4 years ago

Match each compound inequality to its solution

Mathematics

1 answer:

s344n2d4d5 [400]4 years ago

3 0

(1)4x + 3> 15 or -6x>=12

4x+3>15, subtract 3 on both sides (4x> 12) and then divide both sides by 4

x > 3

-6x>=12, divide both sides by -6 , so x<=-2

x>3 or x<=-2

The middle graph satisfies the above inequality

(2) -8x>-24 and -10<=2x-6

-8x>-24 , divide both sides by -8 , so it becomes x < 3

-10<=2x-6, add both sides by 6 , -4<=2x . then divide both sides by 2

x >=-2

x>-2 and x<3

The last graph satisfies the above inequality

-29<=9x-2<16

Add both sides by 2 and then divide both sides by 9

-27 <= 9x < 18

divide both sides by 9

-3 <= x < 2

x lies between -3 and 2

The first graph satisfies the above inequality

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Y<4-2x Will give brainliest and 20 points

icang [17]

Answer:

See the attached for a graph.

Step-by-step explanation:

The edge of the solution space is marked by the line ...

... y = 4 - 2x

This is in slope-intercept form. It has a y-intercept of 4 and a slope of -2. Because the relation symbol is "less than" (with no "or equal to"), the line itself is not part of the solution space. It is graphed as a dashed line for that reason.

The values of y in the solution space are those less than the ones that make up the line, so the shading is of the half-plane below the line.

3 0

3 years ago

Complete the table for the given rule.

Vesna [10]

The values of x and y are:

x y

2 1

5 2.5

7 3.5

Step-by-step explanation:

Given rule for function is:

$y = \frac{x}{2}$

As in the table,, we are given the values of y, which means we have to find x.

So,

$y = \frac{x}{2}\\x = 2y\\$

for y = 1

$x = 2(1) \\x = 2$

For y = 2.5

$x = 2 (2.5)\\x = 5$

For y = 3.5

$x = 2(3.5)\\x = 7$

so,

The values of x and y are:

x y

2 1

5 2.5

7 3.5

Keywords: Functions, input output

Learn more about functions at:

#LearnwithBrainly

6 0

3 years ago

Use the equation to answer the following question y=(x-3(x+2)/(x+4)(x-4)(x+2)

givi [52]

Answer:

See below

Step-by-step explanation:

The given rational function is;

$y=\frac{(x-3)(x+2)}{(x+4)(x-4)(x+2)}$

The given function is not continuous where the denominator is equal to zero.

$(x+4)(x-4)(x+2)=0$

The function is discontinuous at $x=-4,x=4,x=-2$

b) The point at x=-2 is a removable discontinuity(hole) because (x+2) is common to both the numerator and the denominator.

The point at x=-4 and x=4 are non-removable discontinuities(vertical asymptotes)

c) The equation of the vertical asymptotes are x=-4 and x=4

To find the equation of the horizontal asymptote, we take limit to infinity.

$\lim_{x\to \infty}\frac{(x-3)(x+2)}{(x+4)(x-4)(x+2)}=0$

The horizontal asymptote is y=0

8 0

3 years ago

Alden paid to have some programs printed for the football game last weekend. The printing cost per program was 54 cents, and the

uranmaximum [27]

Answer:

300 programs

Step-by-step explanation:

Let’s work with cents to make this easier. We convert the $12 to cents, making 1200 cents

Let the number of copies Alden printed be x. His total printing cost would be x * 54 = 54x cents.

He sold at 75 cents each and still had left 100 copies. This means his total sale would be (x - 100)75

He lost $12 on the venture. This means his cost price minus his selling price is $12 since it’s a loss.

Computing this:

54x - 75(x - 100) = 1200

54x - 75x + 7500 = 1200

-21x = 1200 - 7500

-21x = -6,300

x = 6300/21 = 300 programs

4 0

3 years ago

G(x) = 2x + 1 2. g(10) =

nignag [31]

G(10) = 21
You plug in 10 and multiply it with 2, then add 1, which you’ll get 21.

5 0

2 years ago