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alexandr402 [8]
3 years ago
5

Find the roots.1) f(x) = - x^2 + 6x + 272) f(x) = 3x^2 + 17x - 20​

Mathematics
1 answer:
Nookie1986 [14]3 years ago
5 0

Answer:

1)  x1=-3 and x2=9

2) x1=-20/3 and x2=1

Step-by-step explanation:

We can use the quadratic equation to solve every problem related with quadratic term, that is a equation written as ax^2 + bx +c =0

x=\frac{-b+/- \sqrt{b^{2}-4ac } }{2a}

Remember that the +/- sign means that there are two solutions, one using the + sign and other usign the - sign.

For the first polynomial we have a=-1, b = 6, c=27

Using the quadratic equation we have> x1=-3 and x2=9.

For the second polynomial we have a=3, b=17, c=-20.

Using the quadratic equation we have> x1=-20/3 and x2=1.

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sukhopar [10]

Answer:at right angles to the vertical; parallel to level ground.

Step-by-step explanation:

4 0
2 years ago
Write and solve a system of equations. Be sure to label the variables. The sum of two numbers is twelve. Two times the first num
adoni [48]

The solution to the system of equations is x = 8, y = 4.

<h3>How to write the system of equations?</h3>

First, let's define our variables as x and y.

"the sum of two numbers is twelve" is written as:

x + y = 12

"two times the first number minus three times the second number is four" is written as:

2x - 3y = 4

Then the system of equations is:

x + y  = 12

2x - 3y = 4

<h3>How to solve it?</h3>

First, we isolate one of the variables in one equation, I will isolate x on the first one to get:

x = 12 - y

Now we replace this on the other equation, so we get:

2*(12 - y) - 3y = 4

Now we can solve this for y.

24 - 2y - 3y = 4

24 - 5y = 4

24 - 4 = 5y

20/5 = y = 4

Now we know the value of y, and:

x = 12 - y = 12 - 4 = 8

Then the solution of the system is:

x = 8, y = 4.

If you want to learn more about systems of equations, you can read:

brainly.com/question/13729904

7 0
2 years ago
Which expressions are equivalint to 3x +2(x - 1) -4
Lerok [7]

Answer:

A.  3x +2(x - 1) -4 and B. 5x-6

Step-by-step explanation:

One of the answers is letter A because its the same exact expression as stated in the question. The other answer is B because of the distribution property you multiple x by 2 and multiply -1 by 2. This now gives us the expression 3x+2x-2-4. Now we add/subtract like terms and that gives the the answer 5x-6. I hope this helps.

4 0
3 years ago
Read 2 more answers
Find the value of x.<br> 4<br><br> 14<br><br> 3<br><br> 6
nadezda [96]

Hello from MrBillDoesMath!

Answer:

4

Discussion:

As vertical angles are equal,    Angle 3 = Angle 2,  so

Angle 3 = 3x + 2     (A)

Angles 3 and 7 are corresponding angles and hence equal. So

Angle 3 = Angle 7   =>  use (A) above and Angle 7 =  x + 10

3x + 2 = x + 10  =>   subtract x from both sides

3x -x + 2 = x - x + 10  =>

2x + 2 = 10                 => subtract 2 from both sides

2x = 10 -2 = 8

x = 8/2 = 4


which is the first choice



Thank you,

MrB

5 0
3 years ago
Read 2 more answers
Answer with at least 3-4 sentences. No fake answers lots of points
Rus_ich [418]

Answer:

4

Step-by-step explanation:

Calculation of the discriminant of the polynomial : x⋅2−4⋅x+5

1. Applying the formula to calculate the discriminant Δ=b2−4⋅a⋅c with : a=0, b=−2,c=5

2. Δ=(−2)2−4⋅(0)⋅(5)=4=4

3. The discriminant of the polynomial x⋅2−4⋅x+5 is equal to 4

5 0
3 years ago
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