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Vladimir [108]
2 years ago
12

Compute the discriminant. Then determine the number and type of solutions for the given equation.

Mathematics
1 answer:
Neporo4naja [7]2 years ago
7 0

Answer:

Step-by-step explanation:

It's two unequal real solutions.

a = 1

b = 7

c = 6

discriminate = sqrt(7^2 - 4*1*6)

discriminate = sqrt(49 - 24)

discriminate = sqrt(25)

discriminate = 5

Now you cannot determine what this means unless you put it in the quadratic formula

x = (-7 +/- 5)/2

x = (- 7 + 5) / 2

x =  - 2/2 = - 1

x = (-7 - 5)/2

x = -12/2

x = - 6

You see that you have two unequal reals.

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A data display appears skewed to the right so? A) most of the data will be located on the left side of the display B) there are
Evgen [1.6K]

Answer:

B)

Step-by-step explanation:

A data display appears skewed to the right so there are extreme values in the right tail of the display. Hope this helps!

8 0
3 years ago
A rectangular pool is 20 feet wide and 50 feet long. A deck used for sunning surrounds the pool. The deck is the same width all
rodikova [14]

Answer:

  3 feet

Step-by-step explanation:

Let x represent the width of the deck. The deck adds to the pool dimensions on both sides, so the area of the site including pool and deck will be ...

  A = (20 +2x)(50 +2x) = 1000 +140x +4x^2

The area of the pool alone is

  A = (20)(50) = 1000

So, the area of the deck is the difference:

  456 = (4x^2 +140x +1000) -(1000)

Dividing by 4 and subtracting 114, we have ...

  x^2 +35x -114 = 0

  (x -3)(x +38) = 0

Solutions to this are x = 3 and x = -38. The positive solution is the one of interest.

The deck is 3 feet wide.

4 0
2 years ago
What is the value of 36X negative Y over to when X equals three and Y equals -6
Rus_ich [418]

<u><em>Note:</em></u>

<em>Your question is a little unclear. But, from my understanding, I assume you may be asking the evaluation of the expression 36x - y when x = 3 and y = -6.</em>

<em>so I will solve based on my assumption which anyways would clear your concept.</em>

Answer:

The value of 36x - y when x = 3 and y = -6 will be: 114

Step-by-step explanation:

Given

Assuming the expression

36x - y

To Determine

Evaluate 36x - y when x = 3 and y = -6

Given the expression

36x - y

substitute x = 3 and y = -6 to evaluate the expression

36x-y= 36(3) - (-6)

            = 108+6

            = 114

Therefore, the value of 36x - y when x = 3 and y = -6 will be: 114

5 0
3 years ago
Complete the equation of the line through (-9,7) &amp; (-6,-3)
scZoUnD [109]

Answer:

y=-\frac{10}{3}x-23

Step-by-step explanation:

we have the points

(-9,7) and (-6,-3)

step 1

Find the slope

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

substitute the values

m=\frac{-3-7}{-6+9}

m=-\frac{10}{3}

step 2

Find the equation in point slope form

y-y1=m(x-x1)

we have

m=-\frac{10}{3}

(x1,y1)=(-6,-3)

substitute

y+3=-\frac{10}{3}(x+6)  ---> equation in point slope form

step 3

Find the equation of the line in slope intercept form

y=mx+b

we have

y+3=-\frac{10}{3}(x+6)

Isolate the variable y

Distribute right side

y+3=-\frac{10}{3}x-20

subtract 3 both sides

y=-\frac{10}{3}x-20-3

y=-\frac{10}{3}x-23

7 0
3 years ago
HELP FAST FAST FAST
Rus_ich [418]

Answer:

h=3in  

Step-by-step explanation:

A=a+b

2h

Solving forh

h=2A

a+b=2·13.5

3+6=3in

3 0
3 years ago
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