What value of c makes x^2 +5x+c a perfect square.
Answers
5/2=2.52. 5^2=6.25. Thus, x^2+5+6.25, and in factored form, (x+2.5)(x+2.5)
Hope this helps!
Related Questions
Solve P = 2w + 2l for l.
Pls help with this maths question, answer = 3.6, how do I get that answer pls?Will give brainliest for correct answer!
Which best explains why the equation 4x+5=4×-1 has no solution
Chester dives from a board 15 feet above the water he goes 7 feet below the surface of the water What is the total length of Chester’s dive
Answers
Answer:
They will hit 180 seconds in 118.6 year
Step-by-step explanation:
Let M be the record for the mile (in seconds)
Let x be the year after 1958
So, x=(year)-19548
We are given that In the half-century since then, the record has decreased by 0.5 seconds per year
So, slope = m = 0.5
Now we will use point slope form
y = mx+c
So, we can express M as,
Now we are supposed to find when they will hit 180 seconds
Substitute M = 180 in equation
180=239.3-0.5x
x=118.6
So, they will hit 180 seconds in 118.6 year
Final answer:
You can model the decreasing record time with the linear equation y=239.3-0.5x, where x is years since 1958 and y is the run time in seconds. By using this model, you can find the record time for any given year.
Explanation:
The subject of this question is Mathematics, specifically linear equations. The question mentions an initial record of 239.3 seconds for a run which decreases by 0.5 seconds every year. We are tasked to find the running time after a certain number of years.
Let's let x represent the number of years since 1958 and y represent the number of seconds to run the race. Based on the information provided:
- The starting time (y-intercept) in 1958 was 239.3 seconds.
- The rate of decrease (slope) is 0.5 seconds per year.
Therefore, the relationship between x and y can be expressed by the linear equation: y=239.3-0.5x
To find a certain year's running time, we substitute the number of years passed since 1958 into x in the equation above and solve for y. For example, to find the running time in 50 years after 1958 (2008), we replace x with 50: y = 239.3 - 0.5(50) = 214.3 seconds.
Learn more about Linear Equations here:
#SPJ3
equation:
n =
Answers
n = 8 (Divide everything by five)
If you need further help just ask.
Answers
Answer:
f(4) = (4)² + 5(4) = 36.
g(9) = [3(9) - 4]/2 = 23/2.
f(-3) = (-3)² + 5(-3) = -6.
g(-6) = [3(-6) - 4]/2 = -11.
Set f(x) = 14.
=> x² + 5x = 14
=> x² + 5x - 14 = 0
=> (x + 7)(x - 2) = 0
=> x = -7 or x = 2.
Set g(x) = -28.
=> (3x - 4)/2 = -28
=> 3x - 4 = -56
=> 3x = -52
=> x = -52/3.
Answer:
36
11.5
6
-11
-2, 7
-17.333 / - 17⅓
Step-by-step explanation:
f(4) = 4² + 5(4) = 16+20 = 36
g(9) = 3(9)-4 ÷ 2 = 23÷2 = 11.5
f(-3) = (-3)²+5(-3) = 9 - 15 = 6
g(-6) = 3(-6)-4 ÷ 2 = - 22 ÷ 2 = - 11
f(x) = 14
x² - 5x = 14
x² - 5x - 14 = 0
(x+2) (x-7) = 0
x = - 2 or x = 7
g(x) = -28
3x - 4 = - 56
3x = - 52
x = - 52/3 = - 17 ⅓
Answers
0.125
0.875
0.9875
0.5
Answers
*100% Correct answers
Question 1
A surgical technique is performed on 10 patients. You are told there is an 80% chance of success. Find the probability that the surgery is successful for exactly 6 patients.
0.088
Question 2
Sam creates a game in which the player rolls 4 dice. What is the probability in this game of having at least 2 of the dice land on 5.
0.13101963141
Question 3
Katie creates a game in which 3 dimes are flipped at the same time.
5 points are awarded if all 3 dimes land on tails, but no points are awarded for anything else. What is the probability of not getting any points? (Hint: Find the complement).
0.875
Answers
Answer:
Unique Triangle