f (x) = 3 (x– 4)^2– 12
based on this value, select ALL that APPLY for the following function:
Answers
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
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.
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
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.
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]
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.
BRAINLIEST
Please answer these
Answers
Answer:
that's my answer in mathematics hope it helps for you
Please help.. I am stuck !
Answers
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
Answer:
you will bcz u didn't fail
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
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 $135. Explain the solution.
Answers
Answer: 15
Step-by-step explanation:
9 x h = 135
9 x 15 = 135
Emily and Andy each go to a hardware store to buy wire the table shows that the cost why in dollars for X inches of the wire they need Emily needs 25 feet of wire and he needs 11 yards of wire how much will each of them spend on wire
Answers
Answer:
simple. it is x*y if it is 2 dollar per foot, 25ft would be 50$. 11yards is 33ft *2$=66$. change your values as needed just an example
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
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
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 2cmSo, 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
how to do b. quick!!!
Answers
simplify 1 and 1/6
j
Answers
Answer:0/6
Step-by-step explanation:
0/6
What is the slope??
(The bottom one says : (1, 1)
Answers
Ok done. Thank to me :>
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
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.....!!!
YURRRRRRRRRRRRRRRR
[tex]4 \div 0.25[/tex]
Answers
Answer:
16
4
[tex]4 \div ( \frac{25}{100}) = 400 \div 25 = 16 [/tex]
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
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
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
2/3 (4x + 3) = 1/4 (3x - 15)
Answers
Answer:
x=-3
Step-by-step explanation:
X=3
I used math calculator and it gave me x = 3 :)
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
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]
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
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]
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
Which is the verbal expression for (n+1) to the 2nd power ?
Answers
Answer:
1 more than n squared
Step-by-step explanation:
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