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kupik [55]
3 years ago
11

What are the zeros of the polynomial equation f(x)=x^2-12x+20?

Mathematics
1 answer:
bagirrra123 [75]3 years ago
8 0
f(x)=x^2-12x+20\\\\\text{The zeros:}\\\\f(x)=0\to x^2-12x+20=0\\\\x^2-10x-2x+20=0\\\\x(x-10)-2(x-10)=0\\\\(x-10)(x-2)=0\iff x-10=0\ \vee\ x-2=0\\\\\boxed{x=10\ \vee\ x=2}
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Rewrite the following linear equation in slope-intercept form. y+4=-2(x-1)
romanna [79]

Answer:

y = -2x - 1

Step-by-step explanation:

Rewrite y + 7 = -2(x - 3) in slope-intercept form (which is y = mx + b):

First, perform the indicated multiplication:

y + 7 = -2x + 6

Combining the constants, we get

y = -2x - 1

This is the desired equation in slope-intercept form.  slope is -2 and y-intercept is -1.

5 0
3 years ago
Why is the answer A? Plzzz explain.
Contact [7]

Answer:


Step-by-step explanation:

f(x) = x^2 + 4x + 4

f(x + a) = (x + a)^2 + 4(x + a) + 4

f(x + a) = x^2 + 2ax + a^2 + 4x + 4a + 4   Now combine like terms and use the distributive property.

f(x + a) = x^2 + (2a + 4)x + a^2 + 4a + 4

We are told that f(x + a) = x^2 - 6x + 9

So that means that

2a + 4 = - 6      Subtract 4 from both sides.

2a = - 6 - 4

2a = - 10          Divide by 2

a = - 10/2

a = - 5.            

But you are not finished. You have to check the last part.

a^2 + 4x + 4 = 9

(a + 2)^2 = 9

Take the square root of both sides

sqrt(a+ 2)^2 = +/- 3

a+2 = 3

a = 1.

Does this work or is it extraneous? It is extraneous because it will not work for  2(a) + 4 = - 6  

You get 6 = - 6 which is not correct. But you did give the second best answer.

a + 2 = - 3

a = - 3 - 2

a = - 5 which agrees with your previous answer.

===========

This is an extremely hard or tricky or sneaky problem. It takes a lot of conniving to get the right answer and 1 is not a left field answer. It just does not happen to be correct.

8 0
3 years ago
the area of the vegetable garden is 0.4 of the area of the community garden. What is the area of the vegetable garden?
labwork [276]

Answer:

11:6

Step-by-step explanation:

I did the test brainly me

8 0
3 years ago
Solving Exponential equation 7^7x+5 = 2^x-1
JulijaS [17]

Answer:

x=-6/7^7-2

Step-by-step explanation:

4 0
3 years ago
100 POINTS!!!
dmitriy555 [2]

Answer:

A.

Step-by-step explanation:

The slope of the line parallel to the original line is the same. And you don't add x after the slope.

5 0
2 years ago
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