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Elena L [17]
3 years ago
8

Complete the square. 2x squared +8x-3=0

Mathematics
2 answers:
timama [110]3 years ago
8 0
I hope this helps you


ax^2+bx+c=0


disctirminant = b^2-4ac


x1,2= -b (+,-) square root of disctirminant/2a


2x^2+8x-3=0


a= 2 b= 8 c= -3


disctirminant =8^2-4.2. (-3)


disctirminant = 64+24


disctirminant = 88


square root of 88= 2 square root of 22



x1= -8+square root of 88/2.2



x1= square root of 22-4/2



x2= -8- square root of 88/2.2



x2= -4- square root of 22/2
enyata [817]3 years ago
5 0
<span> 2x^2 - 8x - 3 = 0

Divide out the 2

x^2 - 4x - 3/2 = 0

Move constant to the other side

x^2 - 4x = 3/2

Half and square -4 and add to both sides

x^2 - 4x + 4 = 3/2 + 4

Write left side as a square, simplify the right

(x - 2)^2 = 22/4

Take the square root

x - 2 = +/- SQRT(22) / 2

Add 2

x = 2 +/- SQRT(22) / 2 </span>
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A restaurant earns $1073 on Friday and $1108 on Saturday. Write and solve an equation to find the amount xx (in dollars) the res
Brums [2.3K]
(1073 + 1108 + x) / 3 = 1000
(2181 + x) / 3 = 1000 ....multiply both sides by 3
2181 + x = 1000 * 3
2181 + x = 3000
x = 3000 - 2181
x = 819 <== they would need to earn $ 819 on Sunday
8 0
3 years ago
Find a third degree polynomial function of the lowest degree that has the zeros below and whose leading coefficient is one.
Tanzania [10]

Answer:

The polynomial function of the lowest degree that has zeroes at -1, 0 and 6 and with a leading coefficient of one is p(x) = x^{3}-5\cdot x^{2}-6\cdot x.

Step-by-step explanation:

From Fundamental Theorem of Algebra, we remember that the degree of the polynomials determine the number of roots within. Since we know three roots, then the factorized form of the polynomial function with the lowest degree is:

p(x) = (x-r_{1})\cdot (x-r_{2})\cdot (x-r_{3}) = 0 (1)

Where r_{1}, r_{2} and r_{3} are the roots of the polynomial.

If we know that r_{1} = -1, r_{2} = 0 and r_{3} = 6, then the polynomial function in factorized form is:

p(x) = (x+1)\cdot x \cdot (x-6) (2)

And by Algebra we get the standard form of the function:

p(x) = x\cdot (x+1)\cdot (x-6)

p(x) = x\cdot (x^{2}-5\cdot x -6)

p(x) = x^{3}-5\cdot x^{2}-6\cdot x (3)

The polynomial function of the lowest degree that has zeroes at -1, 0 and 6 and with a leading coefficient of one is p(x) = x^{3}-5\cdot x^{2}-6\cdot x.

6 0
3 years ago
9. What is the volume of this cube? (2 pts.) Show your work here.​
denpristay [2]

Answer:

Volume = 27 cubic units

Step-by-step explanation:

First, the formula of volume is l x h x w.

Second, the l, h, and w, are all 3, so to get your answer you do 3 x 3 x 3 which equals 27.

Hope this helps!

6 0
3 years ago
4. Select all expressions equivalent to 5 *x+6+ (8x + 24).
KonstantinChe [14]

Answer:

b

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Definition for axis of symmetry
Dmitriy789 [7]

Answer:

An axis of symmetry is a line about which a figure is symmetrical. If a figure can be folded such that the two parts exactly match, the fold line is an axis of symmetry. A figure can have one line of symmetry, many lines of symmetry, or no lines of symmetry.

Step-by-step explanation:

google

3 0
3 years ago
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