We will use the Reminder theorem.
The polynomial f ( x ) is divisible by x - a when f ( a ) = 0.
For the 1st one:
f ( - 2 ) = ( - 2 )³ + 7 · ( - 2 )² + 14 · ( - 2 ) + 8 =
= - 8 + 28 - 28 + 8 = 0
For the 2nd one:
f ( 5 ) = 3 · 5³ - 12 · 5² - 4 · 5 - 55 =
= 375 - 300 - 20 - 55 = 375 - 375 = 0
Answer;
1. ( x + 2 )
2. ( x - 5 )
Hi!
So, x is going to be the price of one apple. We need to solve for x, so let's start with getting an equation up and running.
<em>3x + 0.84 = 5x
Now, we're going to subtract three from both sides.
3x - 3x + 0.84 = 5x - 3x
Now, we're going to divide 2 from both sides!
0.84 / 2 = 2x / 2
And our final answer is... 0.42 for each apple! =)
</em>
Answer:
Step-by-step explanation:
math help
What is 1/4 + 5/12?
What is 1/4 + 5/12?
Let's add
1
4
+
5
12
Step 1
Our denominators (bottom numbers) don't match, so we can't add yet.
Since 4 is evenly divided by 12, we can multiply just one term to get a common denominator.
Multiply 1 by 3, and get 3, then we multiply 4 by 3 and get 12.
The problem now has new fractions to add:
3
12
+
5
12
Step 2
Since our denominators match, we can add the numerators.
3 + 5 = 8
The sum we get is
8
12
Step 3
The last step is to reduce the fraction if we can.
To find out, we try dividing it by 2...
Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:
8
12
÷ 2 =
4
6
Now, try the same number again.
Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:
4
6
÷ 2 =
2
3
Now, try the same number again.
Nope. Try the next prime number, 3...
No good. 3 is larger than 2. So we're done reducing.
Congratulations! Here's your final answer to 1/4 + 5/12
1
4
+
5
12
=
2
3
© 2014 Randy Tayler
5/12 + 1/2
5/12 + 1/3
5/12 - 1/3
5/12 + 2/3
5/12 + 1/4
5/12 - 1/4
5/12 + 2/4
5/12 + 3/4
5/12 + 1/5
5/12 - 1/5
5/12 + 2/5
5/12 - 2/5
5/12 + 3/5
5/12 + 4/5
5/12 + 1/6
5/12 - 1/6
5/12 + 2/6
5/12 - 2/6
5/12 + 3/6
5/12 + 4/6
5/12 + 5/6
5/12 + 1/7
5/12 - 1/7
5/12 + 2/7
5/12 - 2/7
5/12 + 3/7
5/12 + 4/7
5/12 + 5/7
5/12 + 6/7
5/12 + 1/8
5/12 - 1/8
5/12 + 2/8
5/12 - 2/8
5/12 + 3/8
5/12 - 3/8
5/12 + 4/8
5/12 + 5/8
5/12 + 6/8
5/12 + 7/8
5/12 + 1/9
5/12 - 1/9
5/12 + 2/9
5/12 - 2/9
5/12 + 3/9
5/12 - 3/9
5/12 + 4/9
5/12 + 5/9
5/12 + 6/9
5/12 + 7/9
5/12 + 8/9
5/12 + 1/10
5/12 - 1/10
5/12 + 2/10
5/12 - 2/10
5/12 + 3/10
5/12 - 3/10
5/12 + 4/10
5/12 - 4/10
5/12 + 5/10
5/12 + 6/10
5/12 + 7/10
5/12 + 8/10
5/12 + 9/10
5/12 + 1/11
5/12 - 1/11
5/12 + 2/11
5/12 - 2/11
5/12 + 3/11
5/12 - 3/11
5/12 + 4/11
5/12 - 4/11
5/12 + 5/11
5/12 + 6/11
5/12 + 7/11
5/12 + 8/11
5/12 + 9/11
5/12 + 10/11
5/12 + 1/12
5/12 - 1/12
5/12 + 2/12
5/12 - 2/12
5/12 + 3/12
5/12 - 3/12
5/12 + 4/12
5/12 - 4/12
5/12 + 5/12
5/12 - 5/12
5/12 + 6/12
5/12 + 7/12
5/12 + 8/12
5/12 + 9/12
5/12 + 10/12
5/12 + 11/12
Answer:
<em>x = 0 </em>
<em>y = 2</em>
<em>z = -3</em>
Step-by-step explanation:
x-y-2z=4 (1)
-x+2y+z=1 (2)
-x+y-3z=11 (3)
(1) + (3) = x-y-2z + (-x)+y-3z = 4+11
= -5z = 15
-> z = -3
(1) + (2) = x - y - 2z + (-x) + 2y + z = 4+1
= y-z = 5
= y- (-3) = 5
-> y = 2
(1) = x-y-2z = 4
= x - 2 - 2 * (-3) = 4
-> x = 0
Answer:
A. 2/5
B. 1/10
Step-by-step explanation:
First off we need to calculate the probability that the chosen child is a girl So to calculate this probability, we have to know the num. of girls which is seen in the table. There are a total of 8 girls.
Therefore the probability of a girl being chosen is equivalent to the number of girls/exact number of children = 8/20 = 2/5 simplified.
Now to find the probability that the chosen girl is left-handed.
The amount of left-handed girls there is only 2. therefore the probability of selecting a left-handed girl will be 2/20 = 1/10 simplified.