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OleMash [197]
2 years ago
10

The position of a body moving along a coordinate line at

Mathematics
1 answer:
Elden [556K]2 years ago
3 0

Step-by-step explanation:

s=(4+6t)3/2

t=2s

t is seconds

s is meters

s=(4+6×2)3/2

=(4+12)3/2

=16×3/2

s=24m

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What are the roots of the polynomial equation x^3-5x+5=2x^2-5? Use a graphing calculator and a system of equations. Round nonint
leonid [27]

The right answer is c. –2.24, 2, 2.24


This question needs to be solved in two ways. First, using a graphing calculator. Next, using a system of equations.


1. Using a graphing calculator.


We have the following polynomial equation:

x^3-5x+5=2x^2-5


By ordering this equation we have:

x^3-2x^2-5x+10=0


So, we can say that this equation comes from a function given by:

f(x)=x^3-2x^2-5x+10


Thus, by plotting this function, we have that the graph of this function is indicated in Figure 1. By zooming, we can see, in Figure 2, that the roots of the polynomial equation are the x-intercepts of f(x) which are:


x_{1}=-2.236 \\ \\ x_{2}=2 \\ \\ x_{3}=2.236


Finally, rounding noninteger roots to the nearest hundredth we have:


\boxed{Root_{1}=-2.24} \\ \\ \boxed{Root_{2}=2} \\ \\ \boxed{Root_{3}=2.24}


2. Using a system of equations.


The ordered equation is:

x^3-2x^2-5x+10=0


By arranging to factor out we have:

x^3-5x-2x^2+10=0


Then, by factoring:

x(x^2-5)-2(x^2-5)=0


Term (x^2-5) is a common factor, thus:


(x-2)(x^2-5)=0 \\ \\ (x-2)(x-\sqrt{5})(x+\sqrt{5})=0 \\ \\ Finally: \\ \\ \boxed{Root_{1}=-\sqrt{5}=-2.24} \\ \\ \boxed{Root_{2}=2} \\ \\ \boxed{Root_{3}=\sqrt{5}=2.24}

6 0
3 years ago
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How is 400, 000 + 8000 + 500 + 6 written in standard form ?
andreyandreev [35.5K]

Answer:

408,506

Step-by-step explanation:

6 0
2 years ago
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15% of the apples in a crate are rotten. There are 12 rotten apples in the crate.
ladessa [460]
12/80
=15 percent

There are 80 apples in the crate

Do 12 divided by 15 then multiply by 100 = 80
4 0
3 years ago
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Which geometric figures have a measurable quantity?
stealth61 [152]
The geometric figures without measurable quantity:
- A line is infinite and have no measurable length.
- A point is a zero dimensional.
- A ray is semi-infinite. It has a beginning but no end.
An angle and a line segment are measurable.
Answer:
B. Angle
D. Line segment.
6 0
3 years ago
Alex wants to have $2,500 in his bank account after 2 years. If the account earns 5% interest compunded 2 times per year, how mu
natka813 [3]
A=P(1+ \frac{r}{n})^{nt}
A=futurer amount
P=present amount
r=rate in decimal
n=number of times compounded per year
t=time in years

A=2500
r=0.05
n=2
t=2

2500=P(1+ \frac{0.05}{2})^{(2)(2)}
2500=P(1+ 0.025)^{4}
2500=P(1.025)^{4}
2500=P(1.025)^{4}
divide both sides by [tex} 1.025^{4} [/tex]
2264.88=P

he should invest
$2264.88

5 0
3 years ago
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