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Lerok [7]
3 years ago
5

Evaluate the step function for the given input values.

Mathematics
1 answer:
Umnica [9.8K]3 years ago
4 0

Answer:

I would, but the way this is set up is VERY confusing. sorry. maybe try to fix it after copying and pasting to make sure it makes sense.

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What are the solutions of ×^2=8-5×?
yaroslaw [1]

Answer:

x=8 & x=3

Step-by-step explanation:

We want to get the (x)s all on one side.

add 5x to each side

{x}^{2}  + 5x = 8

Since x^2 is x•x and 5x is 5•x then we can change the formula to

x(x+5)=8

then seperate that

x=8

x+5=8

subtract 5 from each side

x=3.

The solutions are 8 and 3.

7 0
3 years ago
How do you tell if its one solution
lisov135 [29]

Answer:

when x equals one number, if it was no solution then x=y

Step-by-step explanation:

6 0
3 years ago
Triangle ABC has a perimeter 22cm
Lapatulllka [165]

Answer:

ΔABC is not a right- angled triangle

Step-by-step explanation:

Given AB = 8, BC = 5

Then AC = 22 - (8 + 5) = 22 - 13 = 9 cm

Using the converse of Pythagoras' identity

If the square of the longest side equals the sum of the squares of the other 2 sides then triangle is right.

AC² = 9² = 81

AB² + BC² = 8² + 5² = 64 + 25 = 89

81 ≠ 89, hence ΔABC is not right- angled


6 0
3 years ago
In a group of 40 people, 35% have never been abroad. Two people are selected at random without replacement and are asked about t
Alisiya [41]

Answer:

\frac{7}{60}

Step-by-step explanation:

Given that in a group of 40 people, 35% have never been abroad. Two people are selected at random without replacement and are asked about their past travel experience.

Since the two are drawn without replacement the first trial affects the second trial.  In other words, each trial is not independent of the other.

a) Hence this cannot be binomial experiment.  The reason is p=probability for each trial is not constant as first draw affect the probability for Ii draw

b) The probability that in a random sample of 2, no one has been abroad

=Prob of selecting both people from the group where no one has been abroad

We have in the group 35% i.e. 14 people never been to abroad

So required probability = Prob of selecting both from 14 people

=\frac{14C2}{40C2} \\=\frac{14*13}{40*39} \\=\frac{7}{60}

3 0
3 years ago
Solve the double integral of e^y/x dy dx with outer limits as 0 and 2 and inner limits as 0 and x^2.
jek_recluse [69]
<span> lets say integrand is e^(y/x): 
∫(x = 0 to 1) ∫(y
 = 0 to x^2) e^(y/x) dy dx 
= ∫(x = 0 to 1) xe^(y/x) 
= ∫(x = 0 to 1) x(e^x - 1) dx 
= ∫(x = 0 to 1) (xe^x - x) dx 
= (xe^x - e^x) - (1/2)x^2 

= 1/2. </span>
6 0
3 years ago
Read 2 more answers
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