Answer:
<em>(8.21, -20.79)</em>
Step-by-step explanation:
Given the simultaneous equation;
From 2;
a = 29 + b ....3
Substitute 3 into 1;
Factorize
b = -18±√18²-4(-58)/2
b = -18±√324+232/2
b = -18±√556/2
b = -18±23.58/2
b = -18-23.58/2 and -18+23.58/2
b = -41.58/2 and 5.58/2
b = -20.79 and 2.79
Since a = 29 + b
when b = -20.79
a = 29 - 20.79
a = 8.21
<em>Hence the solution to the system of equation is (8.21, -20.79)</em>
Answer:
The probability is 14/55
Step-by-step explanation:
The word replacement contains 11 letters.
In which 4 letters are vowel = e,a,e,e
And 7 letters are not vowel = r,p,l,c,m,n,t
The probability of getting the vowel in the first try = 4/11
The probability of getting something that is not a vowel = 7/10.
The denominator is one less because the vowel card is not replaced, meaning there is one less card to choose from.
Multiply the values:
=4/11 * 7/10
=28/110
=14/55
The probability is 14/55....
Answer:
12
Step-by-step explanation:
If 12 apples makes 2 cups, we can assume that 6 apples make 1 cup.
Take the number of apples and divide it by 6 in order to find out the number of cups that can be made.
Answer: x
x = 100 + 32 √10 (15)
Step-by-step explanation: Solve the rational equation by combining expressions and isolating the variable x.
