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Shalnov [3]
3 years ago
6

Please help with this question! It’s Algebra Math 2

Mathematics
1 answer:
juin [17]3 years ago
3 0

Zero of 7 with a multiplicity of 3 means one factor is (x-7)^3

Zero of -1 with a multiplicity of 2 means one factor is (x+1)^2

Zero of 5 with a multiplicity of 1 means one factor is (x-5)

Multiplying, we get

f(x) = (x-7)^3(x+1)^2(x-5)

That's already in factored form so we leave it here.

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Remove the brackets and simplify
Komok [63]

Answer:

5x - 7 {x}^{2}  -  {(2x)}^{2}  \\  = ( {2}^{2}  {x}^{2} ) - 7 {x}^{2}  + 5x \\  = 4 {x}^{2}  - 7 {x}^{2}  + 5x \\  = x(4x - 7x + 5) \\  = x( 5 - 3x) \\  = { \underline{ \underline{ \:  \:  5x - 3 {x}^{2}  \:  \: }}}

7 0
3 years ago
Read 2 more answers
Find the discriminant, and determine the number of real solutions. then solve x^2 +8x+20=0
vodomira [7]

Answer:

Part 1) The quadratic equation has zero real solutions

Part 2) The solutions are

x_1=-4+2i   and x_2=-4-2i

Step-by-step explanation:

we know that

The formula to solve a quadratic equation of the form ax^{2} +bx+c=0 is equal to

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

in this problem we have

x^{2}+8x+20=0  

so

a=1\\b=8\\c=20

The discriminant is equal to

D=(b^{2}-4ac)

If D=0 -----> the quadratic equation has only one real solution

If D>0 -----> the quadratic equation has two real solutions

If D<0 -----> the quadratic equation has two complex solutions

<em>Find the value of D</em>

D=8^{2}-4(1)(20)=-16 -----> the quadratic equation has two complex solutions

<em>Find out the solutions</em>

substitute the values of a,b and c in the formula

x=\frac{-8(+/-)\sqrt{8^{2}-4(1)(20)}} {2(1)}

x=\frac{-8(+/-)\sqrt{-16}} {2}

Remember that

i=\sqrt{-1}

x=\frac{-8(+/-)4i} {2}

x_1=\frac{-8(+)4i} {2}=-4+2i

x_2=\frac{-8(-)4i} {2}=-4-2i

8 0
3 years ago
Count the number of strings of length 9 over the alphabet {a, b, c} subject to each of the following restrictions.
Andrew [12]

Answer:

The solution and complete explanation for the above question and mentioned conditions is given below in the attached document. I hope my explanation will help you in understanding this particular question.

Step-by-step explanation:

6 0
3 years ago
Help pls I don’t understand this my teacher didn’t teach this
aev [14]

Answer:

x = 60

Step-by-step explanation:

The tip of the triangle's angle is 100 (b/c 180-80)

x + 100 + 20 = 180

x + 120 = 180

x = 60

4 0
3 years ago
Read 2 more answers
Last week at a festival, a man sold 4 times as many tie-dyed T-shirts as silk screened shirts. He sold 180 shirts altogether. Ho
lyudmila [28]

Let the number of tie-dyed T-shirts = x

The man sold 4 times as many tie-dyed T-shirts as silk-screened shirts.

So, the number of silk-screened shirts = 4x

He sold 180 shirts altogether

So,

\begin{gathered} x+4x=180 \\ 5x=180 \\  \\ x=\frac{180}{5}=36 \end{gathered}

So, the number of tie-dyed shirts = 36

7 0
1 year ago
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