Answer:
A. 6
Step-by-step explanation:
f(x) = x² − 12x + 7
To complete the square, we first factor the leading coefficient to make it 1 (which it already is).
Then, we take half the second coefficient, square it, and then add to both sides. So (-12/2)² = (-6)² = 36.
f(x) + 36 = x² − 12x + 36 + 7
Then we factor the perfect square:
f(x) + 36 = (x − 6)² + 7
Then solve for f(x) by subtracting and simplifying:
f(x) = (x − 6)² + 7 − 36
f(x) = (x − 6)² − 29
So the value of a is 6.
<u>Explanation </u><u>:</u>
<u>Given that:</u>
- In a box 25 cards are there and 1 to 25 numbers are written on them.
- • One card is drawn randomly.
<u>To Find:</u>
- • What is the probability that it is multiple of 5.
<u>We know that:</u>
P(E)= F/T
<u>Where,</u>
P(E)= Probability of an event
• F= Favourable outcomes . T = Total outcomes
<u>We have:</u>
F = Number of cards which are multiple of 5
Cards having the number 5, 10, 15, 20, 25 are the multiples of 5.
So, F = 5
T = Total number of cards
• T = 25
P(F) The probabilityP(E) = The probability that it is multiple of 5
Finding the probability that it is multiple of 5:
<u>Hence,</u>
The probability that it is multiple of 5 is ⅕
Answer:
An integer is a whole number, positive or negative. A rational number is a number which can be expressed as a fraction between 2 whole numbers. An integer is a rational number, because every integer can be expressed as a fraction between itself and 1, both whole numbers.
Step-by-step explanation:
Answer:
B. 10/91
Step-by-step explanation:
Box has 5 red buttons and 9 blue buttons.
We add 5 and 9 to get the total buttons.
5 + 9 = 14
Then, we find the probability for a red button.
5/14 = .35
Now, that we've taken out 1 button.
The amount of buttons available changes.
14 - 1 = 13
There are 4 red buttons remaining.
The probability for a red button changes to 4/13.
4/13 = .30
Then, we multiply both probabilities.
.30 x .35 = .111
Convert to a fraction.
.111 = 10/91
Thus it would be B.
Answer:
video=$6.5
movie=$1
Step-by-step explanation: