Mathematics High School

f (x) = 3 (x– 4)^2– 12

based on this value, select ALL that APPLY for the following function:

F (x) = 3 (x 4)^2 12based On This Value, Select ALL That APPLY For The Following Function:

Answers

Answer 1

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

Related Questions

Suppose a normal distribution has a mean of 62 and a standard deviation of
4. What is the probability that a data value is between 54 and 66?
A.79.9%
B.77.9%
C.81.9%
D.78.9%

Answers

The probability that a data value is between 54 and 66 is 81.9%

z score is used to determine by how many standard deviations the raw score is above or below the mean.

The z score is given by:

[tex]z = \frac{x-\mu}{\sigma} \\\\where\ x=raw\ score,\mu=mean,\sigma=standard\ deviation[/tex]

Given that μ = 62, σ = 4

For x = 54:

[tex]z=\frac{54-62}{4}=-2[/tex]

For x = 66:

[tex]z=\frac{66-62}{4}=1[/tex]

P(54 < x < 66) = P(-2 < z < 1) = P(z < 1) - P(z < -2) = 0.8413 - 0.0228 = 81.9%

The probability that a data value is between 54 and 66 is 81.9%

Find out more on z score at: brainly.com/question/25638875

Please help me out



Fill in the blanks for this graph



1. This graph crosses the y-axis at______



2. The graph increases in the interval_____



3. The graph decreases in the interval____

Answers

1. (0, -5)
2. (4, -5)
3. (-5, 0)

1. This graph crosses the y-axis at 0, -5
2. The graph increases in the interval 4, -5
3. The graph decreases in the interval -5, 0

Please help.. I am stuck !

Answers

the answer is D ^-^ !!!

What is the slope??
(The bottom one says : (1, 1)

Answers

Slope is the steepness of a line as it moves from LEFT to RIGHT. Slope is the ratio of the rise, the vertical change, to the run, the horizontal change of a line. The slope of a line is always constant (it never changes) no matter what 2 points on the line you choose.
The slope is: -1/3
Ok done. Thank to me :>

Which of the following function rules represents the graph shown?
o f() = Xhy3
of(x) = 3 - X
Of(x) = -3х

Answers

Answer:

f(x) = 3 - x

.......!!!!

I think so this is the. answer.....!!!

BRAINLIEST
Please answer these

Answers

Answer:

that's my answer in mathematics hope it helps for you

hello, please answer
if
[tex]\frac{a}{b} = \frac{c}{d} = \frac{2}{5}[/tex]
then what is the answer of :
[tex]\frac{a + 3c + 4}{b + 3d + 10}[/tex]
​

Answers

Step-by-step explanation:

[tex]{ \rm{a = c = \frac{2}{5} b}} \\ \\ { \rm{b = d = \frac{5}{2} a}}[/tex]

• Substitute:

[tex]{ \rm{ \frac{a + 3c + 4}{b + 3d + 10} = \frac{ \frac{2}{5} b + \frac{6}{5}b + 4 }{ b + \frac{15}{2} b + 10} }} \\ \\ = { \rm{ \frac{ \frac{8}{5} b + 4}{ \frac{17}{2}b + 10 } }} \\ \\ { \rm{}}[/tex]

What is the correct answer?

Answers

Answer:

tan(w)=opp/adj

tan(w)=12/5

=2.4

=3 ........ rownd

We know

[tex]\boxed{\sf tan\Theta=\dfrac{Perpendicular}{Base}}[/tex]

Now

[tex]\\ \sf\longmapsto tanW=\dfrac{XY}{XZ}[/tex]

[tex]\\ \sf\longmapsto tanW=\dfrac{12}{5}[/tex]

[tex]\\ \sf\longmapsto tanW=2.4[/tex]

if i have 2 Ds and 3 Bs will i move on too 7th grade? i have one d in history and one d in language arts but Bs in evrything else

Answers

Yes I believe you will. As long as you pass your exams you should be good.

Answer:

you will bcz u didn't fail

Which is the verbal expression for (n+1) to the 2nd power ?

Answers

Answer:

1 more than n squared

Step-by-step explanation:

One more than n squared

Melissa bought a sofa on sale for $630. This price was 28% less than the original price.
What was the original price?

Answers

Answer:

630 is 28% of 2250.

Step-by-step explanation:

28 / 100 = .28

2250 X .28 = 630.

b(a+b)+a; use a=9, and b=4​

Answers

Answer:

61

Step-by-step explanation:

b(a + b) + a

First, distribute b to a+b

ba + b^2 + a

Now, substitute values

9(4) + 4(4) + 9

36 + 16 + 9 = 61

-Chetan K

simplify 1 and 1/6
j​

Answers

Answer:0/6

Step-by-step explanation:

0/6

pls answer quickly

Ryan wants to measure the length of a bed cover which of the following would be the most appropriate unit to use?

A) kilogram

B) kilometer

C) meter

D) mile​

Answers

The answer is meter since grams is used to measure weight and kilometer and mile are used to measure something larger.

Answer:

C. Meter

Step-by-step explanation:

1. Kilograms measure weight, not distance/length, so it wouldn't make sense to use them to measure a bed.

2. Kilometers are used to measure very long distances, as are miles, so it wouldn't make sense to use them on something small like a bedframe.

That means the only option left is C. Meter.

Hope this helps.

how to do b. quick!!!

Answers

y=x is the answer, because it splits the 90 degrees down the middle, and the equation for a linear line that is at 45 degrees is y=x because there is no y-intercept and the slope is 1.

Answer plz answer !!!

Answers

Answer:

B

Step-by-step explanation:

1/4 yard long, area is 1/3 and we have to find the width so:

1/3(area) divided by 1/49(length) would get you your width

Need help with this math problem

Answers

Answer:

A)

Step-by-step explanation:

Given expression:

[tex] \boxed{\mathsf{c = 15 + am}}[/tex]

subtracting 15 from both sides, and combining like terms on the RHS

[tex] \implies\mathsf{c - 15 = (15 - 15)+ am}[/tex]

Dividing both sides by a

[tex] \implies\mathsf{ \frac{c - 15}{a} = am \times \frac{1}{a} }[/tex]

a On the RHS gets canceled for being present in both Numerator as well as denominator, and were left with the following equation:

[tex] \implies\mathsf{ \frac{c - 15}{a} = m }[/tex]

Miss B is making snickerdoodle cookies the recipe uses one and a half teaspoons of cinnamon to make 2 dozen cookies if she needs to make 13 dozen cookies to give them cookies page of her students

Answers

Answer:

Go download CameraMath on playstore

Can someone help me please

Answers

Answer:

+29 C

Step-by-step explanation:

If we find the distance between both numbers on  number line and we put -2 on the negative side and +27 on the positive side we can find the distance which is 29 and this means In Milan it was warmer by: +29C

Emily and Andy each go to a hardware store to buy wire the table shows that the cost why in dollars for X inches of the wire they need Emily needs 25 feet of wire and he needs 11 yards of wire how much will each of them spend on wire

Answers

Answer:

simple. it is x*y if it is 2 dollar per foot, 25ft would be 50$. 11yards is 33ft *2$=66$. change your values as needed just an example

YURRRRRRRRRRRRRRRR
[tex]4 \div 0.25[/tex]
​

Answers

Answer:

16

4

[tex]4 \div ( \frac{25}{100}) = 400 \div 25 = 16 [/tex]

The answer is 16 yourrrrrrrrrrrrrr welcome

I'm confused, please help me, I'm unsure about what is the difference from multiplication and division. could someone maybe explain please?

Answers

Answer:

Step-by-step explanation:

Multiplication is a see also of division. Division is a see also of multiplication.

As nouns the difference between division and multiplication is that division is (uncountable) the act or process of dividing anything while multiplication is (uncountable|mathematics) the process of computing the sum of a number with itself a specified number of times, or any other analogous binary operation that combines other mathematical objects

Lailah earns $9 per week working at the aquarium. Write and solve an inequality that can be used to find how many hours she must work in a week to earn at least $135. Explain the solution.

Answers

Answer: 15

Step-by-step explanation:

9 x h = 135

9 x 15 = 135

9x< (greater than or equal to) $135

A flower bed is in the shape of a triangle with one side twice the length of the shortest​ side, and the third side is 19 feet more than the length of the shortest side. Find the dimensions if the perimeter is 167 feet.

Answers

Answer:

Please give Brainliest!

Step-by-step explanation:

The three dimensions are 36ft, 72ft, and 59ft.

What is the answer to -3x + 7y = -16 and -3x + 7y = -16

Answers

Answer:

-16-7y/3

Step-by-step explanation:

-3x+7y=-16

Subtract 7y from both sides

-3x=-16-7y

Divide both sides by -3

x=-16-7y/3

What is the value of 0.4–0.1? Write your answer as a fraction in lowest terms.

Answers

Answer:

3/10

Step-by-step explanation:

0.4 - 0.1 = x

there are two ways I can find the answer to this question.

Option 1

0.4 - 0.1 = 0.3 then turn it into a fraction which would be 3/10

or I can turn both into fraction and subtract them

4/10 - 1/10 = 3/10

Both ways would give you the same answer!

I hope this helps!!

Please tell me if I have made any mistakes I enjoy learning form them:)

The value of 0.4 - 0.3 = 0.1 and the fractional form is 3/10

What is a Fraction?

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.

Given data ,

Let the equation be A = 0.4 - 0.1

The value of A = 0.4 - 0.1

                         = 0.3

A = 0.3

Multiply by 10 on both sides , we get

10A = 3

Divide by 10 on both sides , we get

A = 3/10

Hence , the fractional form of 0.3 is 3/10

To learn more about fraction click :

https://brainly.com/question/548650

#SPJ5

2/3 (4x + 3) = 1/4 (3x - 15)

Answers

Answer:

x=-3

Step-by-step explanation:

Answer

X=3

I used math calculator and it gave me x = 3 :)

Dr.Goode prescribed 0.2 grams of cold medicine. This medicine comes in tablets that are 0.5 grams or 0.05 grams. Should his patient take 4 of the 0.5 gram tablets or 4 of the 0.05 gram tablets? Why?

90 POINTS PLS HELP

Answers

Answer:

4 of the 0.05 gram tablets

Step-by-step explanation:

4 of the 0.5 tablets would be 2 grams

4 of the 0.05 tablets would be 0.2 grams

HELP PLease
Write your answer as a fraction in lowest terms

Answers

Answer:

cos B = 9/41

Step-by-step explanation:

cos is adjacent over hypotenuse. SOH(CAH)TOA

1
6 cm
Diagram NOT
accurately drawn
9cm
Scm
11 cm
2
6 cm
18 cm
The diagram shows a shape.
All of its corners are right angles.
Work out the area of the shape.

Answers

The area of the shape is 110 square centimeters

From the diagram, the shape can be subdivided into rectangles of the following dimensions:

6cm by 11cm5cm by 6cm7cm by 2cm

So, the area of the shape is the sum of the areas of the three rectangles.

This gives

[tex]Area = 6cm \times 11cm + 5cm \times 6cm + 7cm \times 2cm[/tex]

Evaluate the products

[tex]Area = 66cm^2 + 30cm^2 + 14cm^2[/tex]

Add the terms

[tex]Area = 110cm^2[/tex]

Hence, the area of the shape is 110 square centimeters

Read more about areas at:

https://brainly.com/question/8408690

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