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Answer:

see explanation

Step-by-step explanation:

Given a parabola in standard form

f(x) = ax² + bx + c ( a ≠ 0 )

Then the discriminant Δ = b² - 4ac informs us about the nature of the zeros

• If b² - 4ac > 0 then 2 real and irrational zeros

• If b² - 4ac > 0 and a perfect square then 2 real and rational zeros

• If b² - 4ac = 0 then 2 real and equal zeros

• b² - 4ac < 0 then zeros are not real

Given

f(x) = 3(x - 4)² - 12 ← expand factor using FOIL

     = 3(x² - 8x + 16) - 12 ← distribute parenthesis by 3

     = 3x² - 24x + 48 - 12

     = 3x² - 24x + 36 ← in standard form

with a = 3, b = - 24 , c = 36 , then

b² - 4ac

= (- 24)² - (4 × 3 × 36

= 576 - 432      

= 144 ← a perfect square

Then 2 zeros are real and rational  and produce 2 x- intercepts

Answer:

All

Step-by-step explanation:

The measure of angle 1 is equal to angle  3

From the diagram, if BA is perpendicular to BD, then;

Similarly, if BC is perpendicular to BE, then;

Equating both expressions will give:

Subtract m<2 from both sides

m<1 + m<2 - m<2=  m<2 + m<3 - m<2

m<1 = m<3

Hence the measure of angle 1 is equal to angle  3

learn more on perpendicular lines here: https://brainly.com/question/1202004

Answer:

3x

Step-by-step explanation:

because both terms are common 12 and 6 is 3 and x² and x is x

Answer:

The number 2

Step-by-step explanation:

Answer:

"2 is prime and it is even"

Step-by-step explanation:

Answer:

you get 15\3 divide then you answer would be 5

Step-by-step explanation:

Answer:

Camille's puppy gained weight the slowest, because her graph does not increase as rapidly as Amit's graph. The puppy's weight increases by .5 pounds every week.

Step-by-step explanation:

Answer:

twice a number and add 2 to it

Expression. 2x+2

Varible. 2X

Constant. 2

ten subtracted from 1/4 a number

Expression. 1/4x-10

Varible. 1/4x

Constant. -10

Hope This Helps!!!

Answer:

you need to show the circumference, instead I cant help

Answer: 1

Step-by-step explanation: You are given the function f(x) = -2x-5. The value is (-3) which is the input of the function. The output, y is what gives 1.

Plug in -3 into the given of function of f(-3) = -2(-3) - 5 = 1.

Negative x negative is positive which -2(-3) = 6.

Take 6-5 = 1.

The above function can also be written as y = -2x-5.

The only difference is this is written in y= mx+b for and the above problem is written in function notation.

Hope this explanation helps.

Answer:

Step-by-step explanation:

Answer:

If you want a angle the angle is positive and the answer is M=2

Step-by-step explanation:

The answer is M=2

Answer:

The equation of a line: y = ax + b

<=> 2= -a +b => a= b - 2 (1)

<=> -1=b (2)

from (1), (2) => b= -1; a = -3

Step-by-step explanation:

Answer:

32.

Step-by-step explanation:

Answer:

you have to go over one on the y axes then 3 up that would be your answer.

your y-intercept would be -1

Answer:

x + 49 + 28 = 180

Step-by-step explanation:

The angle adjacent to x on the left is vertically opposite 49° and is congruent.

The 3 angles then lie on a straight line and sum to 180° , that is

x + 49 + 28 = 180

Answer:

24 cm

Step-by-step explanation:

in rhombuses, the rule is that all sides are the same length which means 3x - 6 = x + 14. then, you just have to solve this:

3x - 6 = x + 14

subtract x from both sides

2x - 6 = 14

add 6 to both sides

2x = 20

divide both sides by 2

x = 10.

to find the length of each side, plug this back into the original side length expressions:

3x - 6 becomes 3 * 10 - 6 = 30 - 6= 24 cm

the length is 24 cm.

Answer:

a rectangle with 2 yards and 3 yards

Step-by-step explanation:

12 yards and 23 yards

x and 2x - 1

------------------------------------

2 and 3 = x and 2x - 1

2 and 2(2) - 1 = 2 and 3

I might be wrong.

Answer:

Step-by-step explanation:

y = 50x - 165

Answer:

y = mx+b

Slope (m) = -4/5

y-int = 14

Hope that helps

Answer:

y = y is equal to 27 over 3

Step-by-step explanation:

being y3 = 27

the y3 is found by multiplying and is passed to the other side by dividing, becoming y = 27/3

Answer:

Step-by-step explanation:

We can tell that 4x - 6 is equal to 2x + 60 because they are vertically opposite angles. Now, let's solve.

Since we have found the required variable, we can now solve the indicated variables.

Given angles:

Let's solve 4(33) - 6 first.

Therefore, 4(33) - 6 measures about 126°. Now, let's solve 2(33) + 60.

We can clearly see that both angles are equal (126 = 126) Because of vertically opposite angles.

Conclusion:

Therefore, the required variable is 'x = 33' and when we substitute the variable in both angles, we find that both angles show 126°.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\boxed{\mathsf{6 + (-434) + (-218)}}\\\large\boxed{\mathsf{\rightarrow 6 \bf - 434 - 218}}\\\large\boxed{\rightarrow \mathsf{\bold{-428} - 218}}\\\large\boxed{\rightarrow \mathsf{\bf -646}}\\\large\boxed{\rightarrow \mathsf{\bold {- \dfrac{646}{1}} \approx -646\div1}}\\\\\\\large\text{We pretty much can't do anything to this so, your answer is: }\\\large\boxed{\mathsf{\bf -646}}\\\\\\\\\\\\\\\\\\\\\huge\text{Thus, your answer is: \boxed{\mathsf{-646}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

-646 is the answer

hope it help

#Chloe919

#thanks for the points

#carry on learning

Answer:

D) each input has only one output.

Step-by-step explanation:

Answer:

4/9

Step-by-step explanation:

Answer:

4/9

Step-by-step explanation: its just the answer lol