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kow [346]
3 years ago
12

If -2 is a root of the quadratic equation x²-5x+c find the value of c

Mathematics
2 answers:
masha68 [24]3 years ago
5 0

Answer:

\fbox{\begin{minipage}{4em}c = -14\end{minipage}}

Step-by-step explanation:

<em><u>Given:</u></em>

A quadratic equation: x^{2} - 5x + c  = 0, with x =-2 is a solution.

<em><u>Solve for:</u></em>

Value of c

<em><u>Step 1: define the problem</u></em>

If x = -2 is a solution of equation f(x) = 0, then f(-2) = 0

<em><u>Step 2: Perform the calculation</u></em>

Substitute x = -2 into original quadratic equation, we have:

(-2)^{2} - 5(-2) + c = 0

Perform the square and multiplication:

4 + 10 + c = 0

Transfer all of numbers to the right side, except c:

(notice for the change in sign of numbers)

c = (-4) + (-10)

Perform the sum on the right side to get c:

c = -14

Hope this helps!

:)

Tcecarenko [31]3 years ago
3 0

Answer:

Step-by-step explanation:

P(x)= x^2-5x+c=0

P (-2)= (-2)^2-5 (-2)+c=0

= 4+10+c=0

=14+c=0

C=(-14)

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NEED HELP PLZ
Angelina_Jolie [31]

Answer:

0.14

Step-by-step explanation:

From the question given above, the following data were obtained:

Grade A = 5

Grade B = 10

Grade C = 15

Grade D = 3

Grade F = 2

Sample space (S) = 35

Probability of getting grade A, P(A) =?

The probability that a student obtained a grade of A can be obtained as follow:

Probability of getting grade A, P(A) =

Event of A (nA) / Sample space, (nS)

P(A) = nA/nS

P(A) = 5/35

P(A) = 0.14

Thus, probability that a student obtained a grade of A is 0.14

6 0
3 years ago
I need help solving this problem
Elena L [17]
Use the given values in the compound interest formula to solve for time, n.

A is the final amount of money, $2800
P is the initial or starting amount $1900
i is the interest rate as a decimal 0.025
n is time in years since it annual.

2800 = 1900(1 + 0.025)^n

2800 = 1900(1.025)^n

2800/1900 = (1.025)^n

28/19 = (1.025)^n

take the natural log of both sides to solve for exponent.

ln(28/19) = ln(1.025^n)

power rule of logarithmic moves exponent

ln(28/19) = n*ln(1.025)

ln(28/19) / ln(1.025) = n

put into a calculator

15.7 years = n
4 0
3 years ago
The screen shot is the question
oee [108]
Y > -5 is the correct answer.

An open point represents > or <.
The line is to the right, so the symbol is to the left.
4 0
2 years ago
21. please and thank you
olga2289 [7]

16 is the answer just add

8 0
2 years ago
Work out the percentage change when a price of £10 is increased to £12.
Anastaziya [24]

Answer:

20%

Step-by-step explanation:

Use the percent change formula: difference = % * original cost

12 - 10 = 2

The difference is 2 and the original cost is 10. Now, we have the equation

2 = % * 10. We don’t know the percentage right? So now we have to find the percentage. To do this, you will have to do 2 divided by 10, which is 0.20. Lastly, we have to turn 0.20 into a percentage by multiplying it by 100, leaving you with 20%. So therefore, 20% is the percent increase. Hope this helps!

3 0
2 years ago
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