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Ivahew [28]
3 years ago
15

!!!20 POINTS AND BRAINLIEST!!!HELP ASAP!!!

Mathematics
2 answers:
12345 [234]3 years ago
4 0

Answer:

(0,3) and (4,-5)

Step-by-step explanation:

f(x) just means y and so does g(x).

Both equations are equal to y. So they are equal to each other. Set equal to each other to solve. After finding x, don't forget to find the y that goes with each x. See image.

8_murik_8 [283]3 years ago
4 0

The values of the solution of the given system of equation are (0,3) and (4,-5)

<h3>How to find the solution to the given system of equation?</h3>

For that , we will try solving it first using the method of substitution in which we express one variable in other variable's form and then you can substitute this value in another equation to get a linear equation in one variable.

If there comes a = a situation for any a, then there are infinite solutions.

If there comes wrong equality, say for example, 3=2, then there are no solutions, else there is one unique solution to the given system of equations.

We have been given the system of equation,

f(x) = -x^2 + 2x + 3

g(x) = -2x + 3

Both equations are equal to y.

y = -x^2 + 2x + 3\\y= -2x + 3

So they are equal to each other.

by solving both the equation

-x^2 + 2x + 3 = -2x + 3\\\\ x^2 -4x = 0\\

x(x-4) = 0

Therefore, x = 4 and x= 0

To find the value of y,

y = -2x + 3

y = -2(4) + 3

y = -5

y = -2x + 3

y = -2(0) + 3

y = 3

Learn more about the equation here:

brainly.com/question/26254258

#SPJ2

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maksim [4K]
The answer for this equation is q=5
6 0
3 years ago
Two similar triangles are shown.
scZoUnD [109]

Answer:

rotated

Step-by-step explanation:

The triangle MNO has already been dilated and therefore, the answers were left to 3: rotated, reflected and translated. Triangle YHQ is not an image of triangle MNO. Thus, leaving only 2 choices: rotated and translated. If triangle MNO was translated, triangle YHQ was supposed to be in the same position as triangle MNO is and leaving only 1 option which is rotated.

8 0
4 years ago
Read 2 more answers
A research team at Cornell University conducted a study showing that approximately 10% of all businessmen who wear ties wear the
LenKa [72]

Answer:

a) The probability that at least 5 ties are too tight is P=0.0432.

b) The probability that at most 12 ties are too tight is P=1.

Step-by-step explanation:

In this problem, we could represent the proabilities of this events with the Binomial distirbution, with parameter p=0.1 and sample size n=20.

a) We can express the probability that at least 5 ties are too tight as:

P(x\geq5)=1-\sum\limits^4_{k=0} {\frac{n!}{k!(n-k)!} p^k(1-p)^{n-k}}\\\\P(x\geq5)=1-(0.1216+0.2702+0.2852+0.1901+0.0898)\\\\P(x\geq5)=1-0.9568=0.0432

The probability that at least 5 ties are too tight is P=0.0432.

a) We can express the probability that at most 12 ties are too tight as:

P(x\leq 12)=\sum\limits^{12}_{k=0} {\frac{n!}{k!(n-k)!} p^k(1-p)^{n-k}}\\\\P(x\leq 12)=0.1216+0.2702+0.2852+0.1901+0.0898+0.0319+0.0089+0.0020+0.0004+0.0001+0.0000+0.0000+0.0000\\\\P(x\leq 12)=1

The probability that at most 12 ties are too tight is P=1.

5 0
3 years ago
I need help on #11&amp; #8
Musya8 [376]
100 * pi = pi * r^2
Pi cancels on both sides of the equation
So... 100= r^2
= radius is 10
5 0
4 years ago
Solve the equation and justify each step: <br><br><img src="https://tex.z-dn.net/?f=%20%28x%20%2B%203%29%5E%7B2%7D%20%20%2B%205%
Andreas93 [3]

Answer:

x=i√33−3,−i√33−3

hope this helps :)

Step-by-step explanation:

Subtract 5 from both sides of the equation.

(x+3)2=−28−

5 Subtract 5 from −28.

(x+3)2=−33

Take the square root of both sides of the equation to eliminate the exponent on the left side.

x+3=±√−33

Simplify the right side of the equation.

x+3=±i√33

The complete solution is the result of both the positive and negative portions of the solution.

x=i√33−3,− i√33 −3

5 0
3 years ago
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