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Lisa [10]
2 years ago
7

F (x) = 3 (x– 4)^2– 12

Mathematics
2 answers:
mrs_skeptik [129]2 years ago
4 0

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

andrew-mc [135]2 years ago
4 0

Answer:

pls don't report me plsss I need a points sorry

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The sum of two consecutive negative integers is -171. What is the number closest to zero?
Anton [14]
Consecutive numbers are always 1 away from each other
3,4

so consecutive is represented by
x and x+1
so sum is -171
x+x+1=-171
add like terms
2x+1=-171
subtract 1 from both sides
2x=-172
divide both sides by 2
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subustitute
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2 years ago
NEED The FULL equation. Will give Brainly. Thank you!
Ghella [55]

Answer:

\displaystyle  \sf h( - 1) =   - \frac{    2}{3}

Step-by-step explanation:

we are given a function

\displaystyle \sf h(x) =  \frac{2x - 6}{4 {x}^{2}  + 8}

we would like to simplify it for h(-1)

in order to do so

substitute the value of x

\displaystyle \sf h( - 1) =  \frac{2 \cdot - 1- 6}{4 { (- 1)}^{2}  + 8}

by order of PEMDAS

simplify square:

\displaystyle \sf h( - 1) =  \frac{2 \cdot - 1- 6}{4 { ( 1)}^{}  + 8}

simplify multiplication:

\displaystyle \sf h( - 1) =  \frac{ - 2 - 6}{4 { }^{}  + 8}

simplify addition:

\displaystyle \sf h( - 1) =  \frac{ - 2 - 6}{12}

simplify subtraction:

\displaystyle \sf h( - 1) =  \frac{   - 8}{12}

reduce fraction:

\displaystyle  \sf h( - 1) =   - \frac{    2}{3}

5 0
3 years ago
The perimeter of the triangle below is 97 cm.
Sloan [31]

Answer:

The length of EF = x = 18 cm

Option A is correct.

Step-by-step explanation:

Ware given perimeter of triangle = 97 cm

We need to find length of EF = x = ?

The length of EG = x+7

The length of EF = x

The length of GF = 3x

The formula used is: Periemter \ of \ triangle= Sum \ of \ all \ sides \ of \ triangle

Putting values and finding x i.e length of EF

Periemter \ of \ triangle= Sum \ of \ all \ sides \ of \ triangle\\97=x+7+x+3x\\97-7=5x\\5x=90\\x=\frac{90}{5}\\x=18 \ cm

So, value of x=18 cm

The length of EF = x = 18 cm

Option A is correct.

4 0
3 years ago
F(X)=X^3 + 4 X^2-10=0 (between X=1 , X=2) بطريقه ال Bisection method<br><br>please fast​
svetlana [45]

I hope it's helpful for u but I am not sure my answer is right !

6 0
2 years ago
Please help. I'll give brainliest :)
Amanda [17]

Answer:

it would be 100

Step-by-step explanation:

if 1=50 and you have 2 then multiple 50 by 2 and that gives you 100

8 0
2 years ago
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