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zhenek [66]
2 years ago
10

Can someone please help me ?

Mathematics
1 answer:
tatiyna2 years ago
4 0

Answer:

(x-2),(x-1),(x), and(x+1)

Step-by-step explanation:

In this scenario, we are given nothing about the polynomial except its graph. We can start in problems like these by looking at when y=0 and going from there.

In this graph, we can see that y=0 when x=2, 1, 0, and -1. Looking at our options, for y to be 0, there must be a factor where, when we plug x=2 in, y=0. The only option here is (x-2). Similarly, for x=1, we have (x-1), for x=0, we have x, and for x=-1, we have (x+1). The polynomial has 3 turning points, so the polynomial must be of degree 4 or higher.

So far, we have (x-2)(x-1)(x)(x+1). Plugging this in to a graphing calculator, we can see that this fits. To check if x²+2 and x²+1 would work here, it would require guess and check with values/graphing calculators, seeing if they fit. For example, when x=1.5, y is greater than -1 on the graph and our function. However, if we multiplied that by x²+1 or x²+2. when x=1.5, y would balloon downward, and the graph wouldn't fit

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For a class experiment, Danny's class weighed a log before and after subjecting it to termites. Before subjecting it to termites
m_a_m_a [10]

Answer:

4.75 pounds

Step-by-step explanation:

Before the termites: 5 pounds

After the termites: 1/4 of a pound

Amount that the termites took: x

5 - x = 1/4

Add x to both sides of the equation

5 = 1/4 + x

Subtract 1/4 from both sides of the equation

4 3/4 = x

4 3/4 = 4.75

The termites took 4.75 pounds from the log

Hope this helps :)

7 0
3 years ago
For a binomial distribution with p = 0.20 and n = 100, what is the probability of obtaining a score less than or equal to x = 12
notsponge [240]
The binomial distribution is given by, 
P(X=x) =  (^{n}C_{x})p^{x} q^{n-x}
q = probability of failure = 1-0.2 = 0.8
n = 100
They have asked to find the probability <span>of obtaining a score less than or equal to 12.
</span>∴ P(X≤12) = (^{100}C_{x})(0.2)^{x} (0.8)^{100-x}
                    where, x = 0,1,2,3,4,5,6,7,8,9,10,11,12                  
∴ P(X≤12) = (^{100}C_{0})(0.2)^{0} (0.8)^{100-0} + (^{100}C_{1})(0.2)^{1} (0.8)^{100-1} + (^{100}C_{2})(0.2)^{2} (0.8)^{100-2} + (^{100}C_{3})(0.2)^{3} (0.8)^{100-3} + (^{100}C_{4})(0.2)^{4} (0.8)^{100-4} + (^{100}C_{5})(0.2)^{5} (0.8)^{100-5} + (^{100}C_{6})(0.2)^{6} (0.8)^{100-6} + (^{100}C_{7})(0.2)^{7} (0.8)^{100-7} + (^{100}C_{8})(0.2)^{8} (0.8)^{100-8} + (^{100}C_{9})(0.2)^{9} (0.8)^{100-9} + (^{100}C_{10})(0.2)^{10} (0.8)^{100-10} + (^{100}C_{11})(0.2)^{11} (0.8)^{100-11} + (^{100}C_{12})(0.2)^{12} (0.8)^{100-12}


Evaluating each term and adding them you will get,
P(X≤12) = 0.02532833572
This is the required probability. 
7 0
3 years ago
Simplify 3x+(4x-3) <br><br> Pls :)
OLga [1]

Answer:

7x - 3

Step-by-step explanation:

3x+(4x-3)

Remove parenthesis

3x + 4x - 3

Combine like terms

3x + 4x = 7x

7x - 3

5 0
3 years ago
Read 2 more answers
Find the x-intercept and y-intercept of the liné.<br> - 6x + 5y = 21
Hunter-Best [27]

Answer:

x=-3.5 or -7/2 (same thing)

y=21/5

Step-by-step explanation:

x intercept is when y=0

y intercept is when x=0

so

x intercept is

-6x=21

x=21/-6

x=-3.5

y intercept is

5y=21

y=21/5

7 0
3 years ago
Shane worked 8 hours per day for 3 days. Andrew worked 6 hours per day for 4 days. If the normal working week is 36 hours, which
creativ13 [48]
Shane:
8 x 3 = 24 Because it is 8h per day for 3 days. Per is like times
24h out of 36  24/36 GCF is 12 divide to and bottom by 12
24 / 12 is 2   36 / 12 is 3  2/3    Shane worked for 2/3 of 36h
Percentage: 100% / 3 (because there is 3 parts)= 33.333333333333 
33.33333333333 x 2 (because it is there is 2 parts needed) = 66.6666666666%
Shane has worked for 66.6666666666% of 36 hours
 
 Andrew:
 4 x 6 = 24 
Hey did you realise, the 24 is exactly the same! So the fraction would still be 2/3 of 36, and so on, there percentage is still the same, it's still 66.6666666666%

Answer: Both of Andrew and Shane has worked for the exact same time, therefore they have the exact same percentage         <span />
4 0
3 years ago
Read 2 more answers
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