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Daniel [21]
3 years ago
13

What are the zeros of the polynomial function? F(x)= x^2 + 12x +20

Mathematics
1 answer:
vampirchik [111]3 years ago
3 0

Answer:

<h2>x = -2 and x = -10</h2>

Step-by-step explanation:

F(x)=x^2+12x+20\\\\\text{The zeros:}\\\\F(x)=0\iff x^2+12x+20=0\\\\x^2+2x+10x+20=0\\\\x(x+2)+10(x+2)=0\\\\(x+2)(x+10)=0\iff x+2=0\ \vee\ x+10=0\\\\x+2=0\qquad\text{subtract 2 from both sides}\\\boxed{x=-2}\\\\x+10=0\qquad\text{subtract 10 from both sides}\\\boxed{x=-10}

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Helppp math find the leanghth
crimeas [40]

Answer:

70 feet

Step-by-step explanation:

3.5 times 20=70.

4 0
3 years ago
Solve for x 0.3·0.2+0.3÷0.2=x
RoseWind [281]

Answer:

x equals 2

Step-by-step explanation:

.3-.2+.3 is .4

.4 divided by .2 is 2

then you are left with 2 = x

4 0
2 years ago
Match the information on the left with the appropriate equation on the right.
zaharov [31]

Answer:

See attachment below

Step-by-step explanation:

For the first option, we are given m = - 2 / 3, b = 3. This is likely in the point - slope form y = mx + b, where m = slope and b = y - intercept. Thus, the equation of the line in point - slope form given this information, should be y = - 2 / 3x + 3. It seems as if none of the following equations match this form, so let us interchange the equation a bit,

y = - 2 / 3x + 3,

y + 2 / 3x = 3,

2x + 3y = 9 - Option C

_______________________________________________________

Next we are given m = - 3 / 2, and that this line passes through the point ( 4, - 1 ). Substitute m as - 3 / 2, x as 4, y as - 1, knowing point ( 4, - 1 ), into the form y = mx + b - solving for b.

- 1 = ( - 3 / 2 )( 4 ) + b,

b = 5,

Thus the equation in point - slope form should be y = - 3 / 2x + 5. None of the choices match this, so let us again alter the equation,

y = - 3 / 2x + 5,

2y = - 3x + 10,

- 2y = 3x - 10 - Option A

_______________________________________________________

( 6, 3 ) and ( 3, 1 ) is given to lie on this line. The slope of the line should be as follows,

Slope = 3 - 1 / 6 - 3 = 2 / 3

Now let us determine the y - intercept ( b ) by substitute one of the points, say ( 6, 3 ). In this case x = 6, and y = 3,

3 = ( 2 / 3 )( 6 ) + b,

b = - 1,

y = 2 / 3x - 1 = Option D

Take a look at the attachment below for further help;

6 0
2 years ago
Write a real world problem for the following equation:<br> 80-3x=53
Afina-wow [57]

Answer:

x=9

Step-by-step explanation:

Step 1: Simplify by both sides of the equation.

80-3x=53

80+-3x=53

-3x+80=53

Step 2: Subtract 80 from both sides.

-3x+80-80=53-80

-3x=-27

Step 3: Divide by both sides by 3.

-3x/-3 = -27/-3

x=9

4 0
3 years ago
Two boats started to move towards each other from two boat stations, located 30 miles apart. One boat moved at a speed of 3 mile
Ganezh [65]

Answer: <u>3 hours and 20 minutes</u>

Step-by-step explanation:

3x + 2(3)x = 30

3x + 6x     = 30

9x             = 30

9/9           = 30/9

x = 3 1/3 hours

6 0
2 years ago
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