Answer:
x = 3 + √6 ; x = 3 - √6 ;
; 
Step-by-step explanation:
Relation given in the question:
(x² − 6x +3)(2x² − 4x − 7) = 0
Now,
for the above relation to be true the following condition must be followed:
Either (x² − 6x +3) = 0 ............(1)
or
(2x² − 4x − 7) = 0 ..........(2)
now considering the equation (1)
(x² − 6x +3) = 0
the roots can be found out as:

for the equation ax² + bx + c = 0
thus,
the roots are

or

or
and, x = 
or
and, x = 
or
x = 3 + √6 and x = 3 - √6
similarly for (2x² − 4x − 7) = 0.
we have
the roots are

or

or
and, x = 
or
and, x = 
or
and, x = 
or
and, 
Hence, the possible roots are
x = 3 + √6 ; x = 3 - √6 ;
; 
Answer:
28.5 sq. meters
Step-by-step explanation:
6x3=18 + 6 x 2 divided by 2=6 + 3x3 divided by 2=4.5
=28.5
Answer:
n + 6 = 7n
Step-by-step explanation:
"The sum of a number and six" would mean the number plus 6: n+6 and "is seven times the number" indicates that it would be equal to the product of 7 for n: 7n. According to this, the answer is that the translation of the sentence into an equation is: n+6=7n.
n − 6 = 7n is not right because the statement says the sum of a number and six.
7(n + 6) = n is not right because the statement indicates that seven multiplies n on the right side as it says seven times the number.
n = 7n + 6 is not right because the statement says the sum of a number and six which would be on the left side and that this would be equal to seven for n.
Answer:
Probability that the proportion in our sample of red candies will be less than 20% is 0.5 .
Step-by-step explanation:
We are given that 20% of the candy produced are red. A random sample of 100 bags of Skittles is taken.
The distribution we can use here is;
~ N(0,1)
where, p = 0.20 and n = 100
Let
= proportion of red candies in our sample
So, P(
< 0.20) = P(
<
) = P(Z < 0) = 0.5
Therefore, probability that the proportion in our sample of red candies will be less than 20% is 0.5 .
La repuesta es 375,porque 3+7+5 es 15,y 15x25 es 375. Tambien el digito de las decenas es uno menos que la suma de los digitos de las centenas y de las unidades.