Answer:
Answer: <u> </u><u>x</u><u> </u><u>is</u><u> </u><u>4</u><u>6</u><u>°</u><u> </u>
Step-by-step explanation:
• Let's first find Angle ACB
• From alternative angles, x = Angle BAC.
• Since AB = AC, then Angle ABC = Angle ACB
The value of f(h(2)) =2 and h(f(16))= 14
<h3>What is function?</h3>
Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input . Mapping or transformation is used to denote a function in math. These functions are usually denoted by letters . The domain is defined as the set of all the values that the function can input while it can be defined. The range is all the values that come out as the output of the function involved.
given:
f(x)= √x-1 , h(x)= x² + 5
Now,
f(h(2))= f( (2)² +5 )
=f(4+5)
=f(9)
=√9-1
= 3-1
=2
h(f(16)) = h( √16-1)
=h( 4-1)
=h(3)
=3² + 5
=9+5
=14
Learn more about function here:
brainly.com/question/12431044
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Answer:
491,800!
Step-by-step explanation:
The correct answer is: [A]: " <span>x(y – 5) = 2 " .
</span>_____________________________________________________
Consider:
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Choice: [A]: " x(y–5) = 2 " ;
Divide each side by "x" ;
" [x(y – 5)] / x = 2/x " ;
→ y – 5 = 2/x ;
Add "5" to each side of the equation:
y – 5 + 5 = 2/x + 5 ;
→ y = 2/x + 5 ; not a line; since one cannot divide by "zero" ; there would be no "point" on the graph at "x = 0". So, this answer choice: [A] is correct.
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Choice [B]:
y -2x -18 = 0
y - 2x = 18
y = 18 + 2x ; y = 2x + 18 ; is a line.
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Choice C) 3y + 12 - 6x = 5 ;
3y = 5 - 12 + 6x ;
3y = -7 + 6x ; 3y = 6x - 7 ; y = 6x/3 - 7/3 ; y = 2x - 7/3 ; is a line.
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Choice: [D]:
2(y+x) = 0 ;
[2*(y+x)] / 2 = 0/2 ; y + x = 0 ; y = -x ; is a line.
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Let us compute first the probability of ending up an odd number when rolling a dice. A dice has faces with numbers 1 up to 6. The odd numbers within that is 3 (1, 3 and 5). Therefore, each dice has a probability of 3/6 or 1/2. Then, you use the repeated trials formula:
Probability = n!/r!(n-r)! * p^r * q^(n-r), where n is the number of tries (n=6), r is the number tries where you get an even number (r=0), p is the probability of having an even face and q is the probability of having an odd face.
Probability = 6!/0!(6!) * (1/2)^0 * (1/2)^6
Probability = 1/64
Therefore, the probability is 1/64 or 1.56%.
