Answer: -7twice
Step-by-step explanation:
This is a question on root of quadratic equation. The interpretation of the question
x² 14x + 49 is
x² + 14x + 49 = 0.meaning that we are to find two possible values for x that will make the expression equal 0.
We can use any of the methods earlier taught. For the purpose of this class, I am using factorization methods
x² + 14x + 49 = 0
Now, find the product of the first and the last terms, is
x² × 49 = 49ײ
Now find two terms such that their productbis 49x² and their sum equals 14x, the one in the middle.
We have several factors of 49x² but only one will give sum of 14x. Because of the time, I will only go straight to the required factors .
49x² = 7x × 7x and the sum gives 14x the middle terms..
Now we now replace the middle one by the factors and then factorize by grouping.
x² + 14x + 49 = 0
x² + 7x + 7x + 49 = 0
x(x + 7) + 7(x + 7) = 0
(x + 7)(x + 7). = 0
Now to find this value of x,
x + 7 = 0
x. = -7twice.
The root of the equation = -7twice.
The answer is C. 6 times 4 is 24 and 1/4 times 4 is 1. therefore 24 + 1 = 25
Answer: it will take 5 months for both gyms to cost the same.
Step-by-step explanation:
Let x represent the number of months for which the total cost of gyms are the same.
Gym A charges a new member fee of $65 and $20 per month. This means that the cost of using gym A for x months would be
20x + 65
Gym B charges a new member fee of $25 and $35 per month but you get a discount of 20% monthly.
20% of 35 is 20/100 × 35 = 7
The monthly charge would be
35 - 7 = 28
This means that the cost of using gym A for x months would be
28x + 25
The number of months that it will take for the cost of both gyms to be the same would be
20x + 65 = 28x + 25
28x - 20x = 65 - 25
8x = 40
x = 40/8 = 5
Answer:
c. 0
Step-by-step explanation:
3(x+8) - 1 = 3x+4
3x+24-1 = 3x+4
3x+23 = 3x+4
There are no solutions since both equations have the same slope meaning they are parallel and they will never intersect since they have different y-intercepts.
