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Margaret [11]
2 years ago
11

Need help with this please dont cheat and put just b#l1$H!t

Mathematics
1 answer:
DIA [1.3K]2 years ago
4 0

Answer:

B (ignore this its for 20 characters

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F (x) = 3 (x– 4)^2– 12
mrs_skeptik [129]

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

4 0
3 years ago
Read 2 more answers
Which products result in a difference of squares? Check all that apply. (5z + 3)(–5z – 3) (w – 2.5)(w + 2.5) (8g + 1)(8g + 1) (–
Helen [10]

Answer:

Option 2  (w-2.5)(w+2.5)=w^2-2.5^2\\ and option 4 (-4v-9)(-4v+9)=-(4v+9)(-)(4v-9)=4v^2-9^2

Explanation:

In option 1 (5z+3)(-5z-3)=-(5z+3)(5z+3)=-(5z+3)^2  which is not the difference of squares

In option 2 (w-2.5)(w+2.5)=w^2-2.5^2\\ using the formula

(a+b)(a-b)=a^2-b^2\\Here \\a=w,b=2.5

Clearly, the difference of squares

In option 3(8g+1)(8g+1)=(8g+1)^2 not the difference of squares

In option 4(-4v-9)(-4v+9)=-(4v+9)(-)(4v-9)=4v^2-9^2

Clearly the difference of squares

In option 5 (6y+7)(7y-6)=42y^2+13y-42 not the difference of squares

In option 6 (p-5)(p-5)=(p-5)^2 not the difference of squares

4 0
3 years ago
Read 2 more answers
If EH = 9 and GH = 15, what is FH? Round your answer to the nearest tenth.
IRISSAK [1]

~Shoto Todoroki here~

hope this helps :))

3 0
2 years ago
which of the following is the value of a when the function f(x)=3|x| is written in the standard form of an absolute value functi
yarga [219]

Answer:I think it’s c

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Write!!! and solve an equation to solve.For signing up for the rewards program at the pizzeria, Haley got a card with 15 points.
frez [133]
Answer: 20
Explanation: The equation is 175 - 15 (160) and then divide it by 8 (20)
6 0
3 years ago
Read 2 more answers
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