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NikAS [45]
3 years ago
14

A certain function f has the property that f(x+y)=

Mathematics
1 answer:
antiseptic1488 [7]3 years ago
8 0
The problem ask to choose among the following statement that tells the truth about the said function f and the best answer among the following statement is in statement I. f(a+b)=2f(a) and statement III. f(b)+f(b) = f(2a). I hope you are satisfied with my answer and feel free to ask for more 
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Which equation represents the value of x? x=100−y2−−−−−−−√ x=10+y2 x=10−y x=y2+100−−−−−−−√ Right triangle A B C with angle B as
Nostrana [21]

Answer:

Therefore the required value of x,

x=\sqrt{(100-y^{2})}

Step-by-step explanation:

Given:

ΔBC is a Right Angle Triangle at ∠ B = 90°

As ∠ B = 90° , AC will be the Hypotenuse

AC = 10 = Hypotenuse

BC = y = Longer leg ( say )

AB = x = Shorter leg ( say )

To Find :

x = ?

Solution:

In Right Angle Triangle Δ ABC , By Pythagoras Theorem we get

(\textrm{Hypotenuse})^{2} = (\textrm{Shorter leg})^{2}+(\textrm{Longer leg})^{2}

Substituting the given values we get

10^{2}= x^{2}+y^{2} \\\\x^{2}=100-y^{2} \\\\\textrm{square rooting on both the side we get}\\\\x=\sqrt{(100-y^{2})}\\\therefore x=\sqrt{(100-y^{2})}\ \textrm{ which is the required value of x}

Therefore the required value of x,

x=\sqrt{(100-y^{2})}

8 0
3 years ago
Suppose f (x) = x^3 . Find the graph of f (x + 1)
ira [324]

Answer:

its 3rd graph, the one with (-1,0) point

3 0
3 years ago
Read 2 more answers
Rosetta wants to estimate the percentage of people who rent their home. She surveys 250 individuals and finds that 48 rent their
Andreas93 [3]

Answer:

0.192 - 1.645\sqrt{\frac{0.192(1-0.192)}{250}}=0.151

0.192 + 1.645\sqrt{\frac{0.192(1-0.192)}{250}}=0.233

Step-by-step explanation:

Information given

X= 48 number of people who rent their home

n= 250 represent the sample size

\hat p =\frac{48}{250}= 0.192 represent the proportion of people who rent their home

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 90% of confidence, our significance level would be given by \alpha=1-0.90=0.1 and \alpha/2 =0.05. And the critical value would be given by:

z_{\alpha/2}=\pm 1.645

The confidence interval for the mean is given by the following formula:  

\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}

If we replace the values obtained we got:

0.192 - 1.645\sqrt{\frac{0.192(1-0.192)}{250}}=0.151

0.192 + 1.645\sqrt{\frac{0.192(1-0.192)}{250}}=0.233

3 0
3 years ago
In how many ways can 12 one-dollar coins be shared between Josh, Frank, and Suzy if each of them receives at least 3 coins?
Nostrana [21]
You would use the counting principal. 12X3X3
8 0
3 years ago
Rewrite each number sentence using numerals and symbols. Find the difference between 4 and 3 and then add 7 *
Zina [86]

Answer:

8

Step-by-step explanation:

4-3+7=8

8 0
3 years ago
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