Answer:
Step-by-step explanation:
Let's organise our information :
- the function is (1/2)x²+2x+3
we want to khow the value of x that gives us : (1/2)x²+2x+3=x+7
Now the trick is to write this expression as a quadratic equation with zero at one side :
- (1/2)x²+2x+3-x-7=0
- (1/2)x²+x-4=0
Now let's solve this equation :
Δ=1²-4*(1/2)*(-4)
= 9
So we have two solutions :
So the solutions are -4 and 2
Answer:
2 yards.
Step-by-step explanation:
We know that a length of a bed is DEFINITELY not 2 miles, and it isn't 2 inches either, because they're both too big and too small. However, 2 feet is also pretty small, too, because 2 feet is about the size of a crib. So what's left is 2 yards, so a bed is about 2 yards.
8 out of 40 fifth graders went to see the lab animal presentation. This can be written as this expression:
Find the greatest common factor of 8 and 40:
Factors of 8: 1, 2, 4, 8
Factors of 40: 1, 2, 4, 5, 8, 10, 20, 40
Therefore the greatest common factor is 8. Divide both the numerator and the denominator by 8.
Therefore the fractional part is
.
To get the percentage, you need to get the denominator to a value of 100.
To do so, you need to find the value to multiply both the numerator and denominator by to achieve this.
To get this value, you can divide 100 by the denominator of the fractional value.
Then you can multiply both the numerator and denominator by 20:
From here, the numerator will state the percentage:
Hope this helps :)
Answer:
NO, this is not prime factorization.
The correct prime factorization is = 
Step-by-step explanation:
Prime factorization means, writing the given number as product of prime numbers.
In the above case, in the prime factorization,<em> the number 8 is present which is not a prime number.</em>
8 can be further represented as product of prime numbers as,
Now the prime factorization reduces to,
= 
=
Using the combination formula, it is found that he has 232 choices.
The order in which the sights are seen is not important, hence the <em>combination formula </em>is used to solve this question.
<h3>What is the combination formula?</h3>
is the number of different combinations of x objects from a set of n elements, given by:
In this problem, the choices are 8, 9, 10 or 11 sights from a set of 11, hence:
He has 232 choices.
You can learn more about the combination formula at brainly.com/question/25821700
