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Aleksandr-060686 [28]
2 years ago
6

Find a polynomial f(x) of degree 3 that has the following zeros.

Mathematics
1 answer:
JulijaS [17]2 years ago
3 0

Answer:

f(x) = x(x - 4)(x + 3)

Step-by-step explanation:

given f(x) with zeros x = a and x = b then the corresponding factors are

(x - a) and (x - b)

f(x) is then the product of these factors

Given zeros are x = 4, x = 0, x = - 3 then the factors are

(x - 4) , (x - 0), (x - (- 3)) , that is

(x - 4) , x , (x + 3)

f(x) = x(x - 4)(x + 3)

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Even numbers between 27 and 39
lianna [129]
Even numbers are numbers that can be divisible by 2, so in this case
28, 30, 32, 34, 36, 38
^ are even numbers because they can be divided by 2
6 0
3 years ago
At 6,000 calories a day, a person with genotype X will weigh 285 lbs with much energy and high cholesterol levels. At 3,500 calo
kkurt [141]

Answer: norm of reaction

Step-by-step explanation:

norm of a reaction which is the capacity of a genotype to produce different phenotypes in response to the environment. The group of phenotypic expressions under different environmental conditions. A organism can own all the genetic complements necessary to fully development. However, if there is no suitable nutricion, the development does not occur. The environment only changes the phenotypic characteristics within certain limits ruled by the genotype (norm of reaction). The genotype do not determine a phenotypes, but a amount of possible phenotypes, a norm of reaction. A certain phenotype will  materialize itself depending on the interaction of a certain genotype with the environment.

6 0
3 years ago
It is believed that Lake Tahoe Community College (LTCC) Intermediate Algebra students get less than seven hours of sleep per nig
Kitty [74]

Answer: No , at 0.05 level of significance , we have sufficient evidence to reject the claim that LTCC Intermediate Algebra students get less than seven hours of sleep per night, on average.

Step-by-step explanation:

Let \mu denotes the average hours of sleep per night.

As per given , we have

H_0:\mu=7\\H_a:\mu

, since H_a is left-tailed and population standard deviation is unknown, so the test is a left-tailed t -test.

Also , it is given that ,

Sample size : n= 22

Sample mean : \overline{x}=7.24

Sample  standard deviation : s= 1.93

Test statistic : t=\dfrac{\overline{x}-\mu}{\dfrac{s}{\sqrt{n}}}

i.e.  t=\dfrac{7.24-7}{\dfrac{1.93}{\sqrt{22}}}\approx0.58

For significance level \alpha=0.05 and degree of freedom 21 (df=n-1),

Critical t-value for left-tailed test= t_{\alpha, df}=t_{0.05,21}=- 1.7207

Decision : Since the test statistic value (0.58) > critical value  1.7207, it means we are failed to reject the null hypothesis .

[Note : When |t_{cal}|>|t_{cri}|, then we accept the null hypothesis.]

Conclusion: We have sufficient evidence to reject the claim that LTCC Intermediate Algebra students get less than seven hours of sleep per night, on average.

6 0
2 years ago
1) how many significant digits are there in the sum of 45.10 and 102.203?
Sergio039 [100]
Oi  :)

1) There are 3 significant digits
45.10+102.203= 147.303

2)
15 Mi/h  =  22 ft/s

3)
C= 72*m* \frac{3}{4} \\  \\ C= 72*81* \frac{3}{4} \\  \\ C= \frac{17496}{4}  \\  \\ C=4374

4)
There are 4 significant digitis. Leter C 
7 0
3 years ago
How to solve this problem
Agata [3.3K]
So first, you have to get two of the same variables to cancel out. Let's do this for x. In order for the x's to cancel out, we could multiply the bottom problem by 2.
(2) 3x-6y=24
After multiplying all the numbers by 2, you get the equation 6x-12y=48
The set of equations is now
-6x+2y=12
6x-12y=48
Now you can add them. The x variables cancel out, so you are left with the y variable.
2y+-12y=-10y and 12+48=60
Then you would divide 60 by -10 to get y=-6.
You would plug the answer for y into one of the original equations, lets do the top one. -6x+2y=12 becomes -6x+2(-6)=12
You'd multiply the 2 and -6 to get -12 so the equation is
-6x-12=12
The negative 12 turn positive and you add to both sides to get the -6x alone.
-6x-12=12
+12=12
-6x=24
Then divide 24 by -6
X=4

(-4,-6) is your final answer.
7 0
3 years ago
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