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arsen [322]
2 years ago
11

Given the N values in a series, the geometric mean is

Mathematics
1 answer:
denis-greek [22]2 years ago
3 0

Answer:

1,870

Step-by-step explanation:

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Solve equation by using the quadratic formula.
Sati [7]

Answer: 1:  x=3, x=1

2:  x= -5

3:  There are 2 real solutions.

4:  There are 2 real solutions.

5:  There are no real solutions.

6.  There is 1 real solution.

7.  

8.  x= -6, x = -2

9.  x = -1/6, x=1

10.  

Explanation:

1.  The quadratic formula is

Substituting our known information we have:

2.  Rewriting the quadratic in standard form we have x²+10x-25=0. Substituting this into the quadratic formula gives us:

3.  The discriminant is b²-4ac.  For this problem, that is 20²-4(-4)(25)=400--400=800.  Since this is greater than 0, there are 2 real solutions.

4.  The discriminant in this problem is 7²-4(2)(-15)=49--120=49+120=169.  This is greater than 0, so there are 2 real solutions.

5.  The discriminant in this problem is 1²-4(-2)(-28)=1-224=-223.  Since this is less than 0, there are no real solutions.

6.  If the discriminant of a quadratic is 0, then by definition there is 1 real solution.

7.  Rewriting the quadratic we have 3x²-4x-2=0.  Using the quadratic formula we have:

8.  Factoring this trinomial we want factors of 12 that sum to 8.  6*2 = 12 and 6+2=8, so those are our factors.  This gives us:

(x+6)(x+2)=0

Using the zero product property we know that either x+6=0 or x+2=0.  Solving these equations we get x= -6 or x= -2.

9.  Factoring this trinomial we want factors of 6(-1)=-6 that sum to -5.  (-6)(1)=-6 and -6+1=-5, so this is how we "split up" the x term:

6x²-6x+1x-1=0

We group together the first two and the last two terms:

(6x²-6x)+(1x-1)=0

Factor the GCF out of each group.  In the first group, that is 6x:

6x(x-1)+(1x-1)=0

In the second group, the GCF is 1:

6x(x-1)+1(x-1)=0

Both terms have a factor of (x-1), so we can factor it out:

(x-1)(6x+1)=0

Using the zero product property, we know either x-1=0 or 6x+1=0.  Solving these equations we get x=1 or x=-1/6.

10.  Substituting our information into the quadratic formula we get:

Step-by-step explanation:

5 0
2 years ago
I have an easy and quick question. So the picture shows an answered question but how do you know to divide? I just don't underst
11111nata11111 [884]

Answer:

Ok so u know to divide bc u r trying to isolate the variable and that means undoing the function in this case 0.6 is multiplied to p so u do the opposite which is division

tada

Hope this helps :)

Pls give brainliest XD :)

8 0
2 years ago
Read 2 more answers
Find an equation of the line that satisfies the given condition. (Let x be the independent variable and y be the dependent varia
NeTakaya

Answer:

y = 4

Step-by-step explanation:

  • A line parallel to the x-axis has the same value of the <em>dependent variable (y)</em> for all the values of the <em>independent variable (x)</em>.  Hence, the line would be an <u>horizontal line that  passes through the y-axis and never meets the x-axis</u>. Since this line satisfies the condition of passing through the coordenates (x,y), (-6,4), then the equation is equal to the value of the coordinate y.  

 

Therefore, the equation of a line that satisfies these two conditions is <em>y = 4</em>.

Download pdf
8 0
3 years ago
Please help, Algebra 1
Svetach [21]
3px = 2q(r-5x)
distribute
2qr - 10qx
3px = 2qr - 10qx

To solve for x
add 10qx to both sides
3px + 10qx = 2qr
factor out x
x(3p+10q) = 2qr
divide both sides by 3p+10q to isolate x
x = 2qr / <span>(3p+10q)

Hope this helps :)</span>
3 0
3 years ago
Your new job is at the Custom T Shop,
kolbaska11 [484]
415

8*50 + 15


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