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katen-ka-za [31]
3 years ago
8

Quiz: Writing an Equation given Attributes (focus, directrix, vertex, or p-value)

Mathematics
1 answer:
mash [69]3 years ago
5 0
E plus c equal G then smoke that zara
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6. What are the zeroes for the<br>function<br>f(x) = 2x3 + 12x – 10x2?<br>​
agasfer [191]

Answer:

<h2>x = 0, x = 5 + √13 and x = 5 - √13.</h2>

Step-by-step explanation:

f(x) = 2x^3 + 12x – 10x^2 can and should be rewritten in descending powers of x:  

f(x) = 2x^3 – 10x^2 + 12x

This, in turn, can be factored into f(x) = x·(x² - 10x + 12).

Setting this last result = to 0 results in f(x) = x·(x² - 10x + 12).

Thus, x = 0 is one root.  Two more roots come from x² - 10x + 12 = 0.

Let's "complete the square" to solve this equation.

Rewrite x² - 10x + 12 = 0  as  x² - 10x +              12 = 0.

a) Identify the coefficient of the x term.  It is -10.

b) take half of this result:  -5

c) square this last result:  (-5)² = 25.

d) Add this 25 to both sides of x² - 10x +              12 = 0:

     x² - 10x +  25      +      12 = 0 + 25

e) rewrite x² - 10x +  25 as the square of a binomial:

       (x - 5)² = 13

f)  taking the sqrt of both sides:  x - 5 = ±√13

g) write out the zeros:  x = 5 + √13 and x = 5 - √13.

The three roots are x = 0, x = 5 + √13 and x = 5 - √13.

8 0
3 years ago
What is the value of -d<br><br> When d= -2<br><br><br> A 4<br><br> B -4<br><br> C -2<br><br> D 2
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-4 cause a negative plus a negative is a negative
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Solve this simultaneous equation using subsitution<br> 5x-4y=-1<br> 2x+y=10
Morgarella [4.7K]

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HIVNRDHGFHEHGDUOWHEDWUGUPEJKGODRFHYEHFUJDJBVCN SUFCEKGGUFVEUVFGVDBCUEGYYHDYGWEGYDCBEOGE

Step-by-step explanation:

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The population of a city is 2,500. If the number of males is 240 more than the number of females, how many males and females are
horsena [70]
2500 - 240 = 2260      
2260/2= 1130 or female count        1130 + 240 =  1370 or male count\
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Step-by-step explanation:

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