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ser-zykov [4K]
2 years ago
12

14x=x^2-15 find the value of x

Mathematics
1 answer:
hram777 [196]2 years ago
5 0

Answer: x=-1, 15

Step-by-step explanation:

x^2 -14x-15=0\\\\(x-15)(x+1)=0\\\\x=-1, 15

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Factor the trinomial x^2 - 8x + 16
Eva8 [605]
Hey there mate!

Your answer: \boxed{(x-4)^2}

Factoring : x^2-8x+16  \\ \\ \\  \left[\begin{array}{ccc}  -16    +    -1    =    -17 
\\ \\  -8    +    -2    =    -10  \\ \\ -4    +    -4    =    -8\end{array}\right] (That's \ it!) 
\\ \\ \\ Add \ up \ the  \first \ 2 \ terms, \ pulling \ out \ like \ factors : \\  \\ x * (x-4) \\ \\
              Add \ up \ the \ last \ 2 \ terms, \ pulling \ out \ common \ factors : \\ \\
                    4 * (x-4) \\ \\  Multiply  \\ \\ \boxed{(x-4)  by  (x-4) } \\ \\ \\

Your \ correct \ correct \ answer \ would \ be... \\ 

\boxed{\boxed{(x-4)^2}}

I hope this helps you!
5 0
3 years ago
lisa has 1/3 of an hour to read and watch television. she wants to split her time equally between two activities. how much time
Finger [1]
60 min = one hour

1/3 *60 =20 mins

= 20/2
= 10 min

Lisa has ten minutes
5 0
3 years ago
Airline Fatalities One study showed that in a certain year, airline fatalities occur at the rate of 0.011 deaths per 100 million
Lelu [443]

Answer:

P(X = 0) = 0.9891

Step-by-step explanation:

Given

\lambda = 0.011

Required [This completes the question]

The probability of exactly 0 deaths

This probability follows a Poisson distribution, and it is given by:

P(X = x) = \frac{e^{-\lambda}\lambda^{x}}{x!}

For 0 deaths;

x = 0

So, the expression becomes

P(X = 0) = \frac{e^{-\lambda}\lambda^{0}}{0!}

P(X = 0) = \frac{e^{-\lambda}\lambda^{0}}{1}

P(X = 0) = \frac{e^{-\lambda}*1}{1}

P(X = 0) = e^{-\lambda}

Substitute 0.011 for \lambda

P(X = 0) = e^{-0.011}

P(X = 0) = 0.9891

<em>The probability of having exactly death is 0.9891</em>

8 0
3 years ago
What's the domain and range of y=-2x^2+5x-7
S_A_V [24]

Answer:

Domain: All real numbers Range: (-∞, -31/8]

Step-by-step explanation:

Since the parent function for this equasion is y=x^2, you know that the graph wil be parabolic in shape. All parabolic functions have a domain of all real numbers. Now when you rewrite the graph in vertex form, you will see that the top vertex is at y=-31/8, this is going to restrict the range to be (-∞, -31/8]. I have provided a graph using the app PhotoMath.

8 0
3 years ago
What is the solution to the system of equations? {x+y=7x=y+3
abruzzese [7]
<h3>Answer:</h3>

x=5, y=2

<h3>Explanation:</h3>

The second equation gives an expression for x that can be substituted into the first equation.

... (y+3) +y = 7 . . . . . .substitute y+3 for x

... 2y + 3 = 7 . . . . . . . colect terms

... 2y = 4 . . . . . . . . . . subtract 3 from both sides

... y = 2 . . . . . . . . . . . . divide both sides by 2

Using the expression for x, we can find its value.

... x = y + 3

... x = 2 + 3 . . . . . . . . . substitute for y

... x = 5

The solution is (x, y) = (5, 2).

7 0
4 years ago
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