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Pani-rosa [81]
3 years ago
14

Solve by completing the square. w2 − 8w − 39 = 0 Write your answers as integers, proper or improper fractions in simplest form,

or decimals rounded to the nearest hundredth. w = [ ] or w = [ ]
Mathematics
1 answer:
adell [148]3 years ago
5 0

Answer:

4+√55= 11.42

4-√55= -3.42

Step-by-step explanation:

  • w² − 8w − 39 = 0
  • w²- 2*4w + 16- 55=0
  • (w-4)²=55
  • w-4=√55 ⇒ w= 4+√55= 11.42
  • w-4=- √55 ⇒ w= 4-√55= -3.42
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Which graph represents the solution set of this inequality? -2x + 7 < 23−2x+7<23
kondaur [170]

Answer:

The graph and the number line in the attached figure

Step-by-step explanation:

we have

-2x+7 < 23

Solve for x

subtract 7 both sides

-2x+7-7 < 23-7

-2x < 16

Divide by -2 both sides

Remember

When you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality symbol

so

x > -8

The solution is the interval (-8,∞)

All real numbers greater than -8

In a number line the solution is the shaded area at right of x=-8 (open circle)

The graph and the number line in the attached figure

7 0
3 years ago
Read 2 more answers
Which system of inequalities represents region Z?
ANTONII [103]

Answer:

The system of inequalities is

y\geq 3x-2

y

Step-by-step explanation:

step 1

Find the equation of the solid blue line

Let

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Find the slope of AB

m=(1+2)/(1-0)=3

The equation of the line into slope intercept form is equal to

y=mx+b

we have

m=3

b=-2 ----> the point A is the y-intercept

substitute

y=3x-2 -----> equation of the solid blue line

The solution of the inequality is the shaded area above the solid line

therefore

The first inequality is

y\geq 3x-2

step 2

Find the equation of the dashed red line

Let

C(0,2), D(5,1)

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m=(1-2)/(5-0)=-1/5

The equation of the line into slope intercept form is equal to

y=mx+b

we have

m=-1/5

b=2 ----> the point C is the y-intercept

substitute

y=-(1/5)x+2 -----> equation of the dashed red line

The solution of the inequality is the shaded area below the dashed line

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y

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y\geq 3x-2

y

8 0
3 years ago
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zvonat [6]

Answer:

18 cups of dried split peas. 16 quarts of water. 6 cups of chopped onions. 8 cups chopped celery. 16 pounds ham shank.

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2 1/4 c x 8 = 18 c.

2 qt x 8 = 16 qt.

3/4 c x 8 = 6 c.

1 c x 8 = 8 c.

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5 0
4 years ago
4. The quotient of x and 7 is 5 more than three times x.
Lostsunrise [7]

Well,

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8 0
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