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Romashka-Z-Leto [24]
2 years ago
14

Help pleaseeon the image with the steps.​

Mathematics
2 answers:
melisa1 [442]2 years ago
4 0
6n + 28 because the difference is 12 so if u half that to get the second it’s 6 hence 6n and then u have to add 6 to 22 to get 28 and it’s a positive number so therefore the expression is 6n+ 28
kenny6666 [7]2 years ago
3 0

Answer:

  an = 22 -6(n -1)

Step-by-step explanation:

The first term of the sequence is given as a1 = 22. The general term of an arithmetic sequence is ...

  an = a1 +d(n -1) . . . . n-th term for first term a1 and common difference d

The third term will be ...

  a3 = 10 = 22 +d(3 -1)

Then the common difference is ...

  10 -22 = 2d

  -12/2 = d = -6

__

Putting the known values into the formula for the general term, it becomes ...

  an = 22 -6(n -1)

__

This can be simplified to ...

  an = 28 -6n

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Which correctly describes the roots of the following cubic equation x^3-5x^2+3x+9=0? A. Three real roots, each with a different
77julia77 [94]

Answer:

The correct option is C.

Step-by-step explanation:

The given cubic equation is

x^3-5x^2+3x+9=0

According to the rational root theorem 1 and -1 are possible rational roots of all polynomial.

At x=-1, the value of function 0. Therefore (x+1) is the factor of polynomial and -1 is a real root.

Use synthetic division to find the remaining polynomial.

(x+1)(x^2-6x+9)=0

(x+1)(x^2-2(3)x+3^2)=0

Using (a-b)^2=a^2-2ab+b^2

(x+1)(x-3)^2)=0

USe zero product property and equate each factor equal to 0.

x=-1,x=3,x=3

Therefore the equation have three real roots out of which the value of two roots are same.

Option C is correct.

7 0
3 years ago
Read 2 more answers
Choose the graph which matches the function. (2 points) <br> f(x) = 3x-4
vovangra [49]

The last image is the graph of y = 3^x

In fact, it is an increasing exponential function, and it passes through the points (0,1), which reflects the fact that 3^0=1 and (1,3), which reflects the fact that 3^1=3.

Now, y = 3^{x-4} is a child of the parent function we just described. Precisely, it is the result of the transformation f(x) \to f(x-4)

In general, every time you perform a transformation like f(x) \to f(x+k), you translate the graph horizontall, k units to the left if k is positive, and k units to the right if k in negative.

Since in this case k = - 4, we have a horizontal translation of 4 units to the right.

So, the correct option is the third one, because:

  • The first graph is the parent function translated 4 units to the left
  • The second graph is the parent function translated 4 units down
  • The third graph is the parent function translated 4 units to the right
  • The fourth graph is the parent function
5 0
3 years ago
Simplify (x^4-4x^3+9x^2-5x) (x^3-3x^2+7) -30x^2+25x^4
Masja [62]

Answer:

x^7-7x^6+21x^5-13x^3+33x^2-35x

Step-by-step explanation:

there you go!

7 0
3 years ago
What are the zeros of this function
Anestetic [448]

Answer:

X =3 and x =6

Step-by-step explanation:

Just look at the line where they cross another line,

4 0
3 years ago
Read 2 more answers
Help PLEASE (look at picture)
elena-14-01-66 [18.8K]

Answer:

16

Step-by-step explanation:

So for QR is 1-(-3)=4

QT:|-2-2|=4

TS: |-2-(-2)|=4

RS: 2-(-2)=4

and they plus together is 4x

4x4 = 16

I hope this helps, have a blessed day. :D

6 0
1 year ago
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