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yuradex [85]
3 years ago
15

Solve the quadratic equation 3x^2 +x-5=0 give your answers to two decimal places

Mathematics
1 answer:
ddd [48]3 years ago
8 0

Especially if we're to present the answers to 2 decimal places, we'd gues that the roots of this polynomial are not "nice."

My suggestion is that we use the quadratic formula to find the roots, and then write the associated factors.

In 3x^2 +x-5=0, a=3, b=1 and c= -5. Thus, the roots are

-1 plus or minus √(1^2 - 4(3)(-5) )

x = --------------------------------------------------

2(3)

or:

-1 plus or minus √61 -1 plus or minus 7.81

x = ----------------------------------- = ---------------------------------

6 6

Then one root is 6.81/6, or approx. 1.14, and the other is

-8.81/6, or approx. -1.47.

The solution set is then {-1.47, 1.14}.

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line w passes through point (-6,-7) and has a slope 1/2. what is the equation for the line in point-slope form?
Elena L [17]

Answer:

y + 7 = \frac{1}{2} (x + 6)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

Here m = \frac{1}{2} and (a, b ) = (- 6, - 7 ) , then

y - (- 7) = \frac{1}{2} (x - (- 6) ) , that is

y + 7 = \frac{1}{2} (x + 6)

8 0
2 years ago
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Find the slope of the line passing through each of the following pairs of points and draw the graph of the line. (5, 2), (3, 3)
Strike441 [17]

Answer:

-0.5

Step-by-step explanation:

  • slope=rise/run or y/x in other words(y2-y1/x2-x1)
  • (y2-y1) is 3-2 so y2-y1=1
  • (x2-x1) is 3-5 so x2-x1= -2
  • -1/2 or -0.5 would be the slope.
8 0
3 years ago
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Which table represents a linear function?<br> PLEASE HELP ME
-Dominant- [34]

Answer:

Bottom left

Step-by-step explanation:

If you graph out the coordinates it goes in a perfect line, thus being linear.

6 0
3 years ago
For a population with u=100 and a=20, what is the z-score that corresponds to x=90?
max2010maxim [7]
I guess that u = μ & that a=σ. If so:

μ =100 & that σ =20 & x=20

Z score = (x-μ) / σ  ==> Z score = (90-100)/20 ==> Z = - 0.5
3 0
3 years ago
3.6x107<br> (2.5x106) (1.6x103)
denis23 [38]

Answer:

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