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xenn [34]
3 years ago
10

Please help asap! answer should be in polynomial in standard form

Mathematics
1 answer:
snow_tiger [21]3 years ago
6 0

Answer:

-2y^{4} - 5y² + 42

Step-by-step explanation:

Each term in the second factor is multiplied by each term in the first factor, that is

y²(- 2y² + 7) + 6(- 2y² + 7) ← distribute both parenthesis

= - 2y^{4} + 7y² - 12y² + 42 ← collect like terms

= - 2y^{4} - 5y² + 42 ← in standard form

[ standard form means the first term has the largest exponent of the variable, followed by other terms in descending powers of the variable. ]

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Choose the most appropriate strategy and then use it to solve the quadratic equation.
dsp73

 (x-8) ^ 2 = 121
 
(x-8) = + / - root (121)
 x = 8 +/- root (121)
 The solutions are:
 
x1 = 8 + root (121)
 
x2 = 8 - root (121)
 2a ^ 2 = 8a-6
 2a ^ 2-8a + 6 = 0
 a ^ 2-4a + 3 = 0
 (a-1) (a-3) = 0
 The solutions are:
 
a1 = 1
 
a2 = 3
 x ^ 2 + 12x + 36 = 4
 x ^ 2 + 12x + 36-4 = 0
 x ^ 2 + 12x + 32 = 0
 (x + 4) (x + 8) = 0
 The solutions are:
 
x1 = -8
 
x2 = -4
 x ^ 2-x + 30 = 0
 
x = (- b +/- root (b ^ 2 - 4 * a * c)) / 2 * a
 x = (- (- 1) +/- root ((- 1) ^ 2 - 4 * (1) * (30))) / 2 * (1)
 x = (1 +/- root (1 - 120))) / 2
 x = (1 +/- root (-119))) / 2
 x = (1 +/- root (119) * i)) / 2
 The solutions are:
 
x1 = (1 + root (119) * i)) / 2
 
x2 = (1 - root (119) * i)) / 2
7 0
3 years ago
The height (h) of a fireball launched from a Roman candle with an initial velocity of 64 feet per second is given by the equatio
Zigmanuir [339]

Answer: C or 2 seconds.

Step-by-step explanation:

To find the vertex in a standard form equation: (-b/2a,f(-b/2a))

plug it in: -64/2*-32 = 2

3 0
4 years ago
0.000000000051304 in scientific notation?<br> Ixl
Grace [21]

Answer:

5.1304 x 10^14

Step-by-step explanation:

there is 10 zeros behind the decimal point plus 4 other decimal places

in a scientific notation the number has to be less then 10 but more then 1

5 0
3 years ago
Help please work with answer
Basile [38]
All you have to do is take the size for every cereal, divide it with its price and you should get your answer as cents. then compare them all and see which one has the lowest price.

* don't forgot to put place holders and add a decimal.
3 0
3 years ago
Determine the lengths of the sides of the rectangle using the given area. Give answers both exactly and
Degger [83]

Answer:

Part a) Exactly values

The width of the rectangle is \frac{\sqrt{70}}{2}\ cm

The length of the rectangle is 2\sqrt{70}\ cm

Part b) Approximately values

The width of the rectangle is 4.2\ cm

The length of the rectangle is 16.7\ cm

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

The area of rectangle is equal to

A=LW

we have

L=4x\ cm\\W=x\ cm

substitute the values in the formula

A=4x(x)

A=4x^2

A=70\ cm^2

so

70=4x^2

Solve for x

Divide by 4 both sides

\frac{70}{4}=x^2

square root both sides

x=(+/-)\frac{\sqrt{70}}{2}

The solution is the positive value

x=\frac{\sqrt{70}}{2}

therefore

<em>Exactly values</em>

L=4\sqrt{70}}{2}=2\sqrt{70}\ cm\\\\W=\frac{\sqrt{70}}{2}\ cm

<em>Approximately values</em>

L=4\sqrt{70}}{2}=16.7\ cm\\\\W=\frac{\sqrt{70}}{2}=4.2\ cm

6 0
3 years ago
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