f (x) = 3 (x– 4)^2– 12
based on this value, select ALL that APPLY for the following function:
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
What is the slope from the equation: 2x + 9
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
Write the equation of a line that passes through the point (-1,2) that has a y-intercept of (0,-1).
PLS HELP QUICK I NEED TO UNDERSTAND THIS I HAVE A FINAL TMRW
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:
Give the function f(x) = -2x -5, determine the value of f(-3)
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.
Please Help ill give brainliest!!!! Help ASAP
Question: Whose puppy gained weight the slowest? How much did it gain per week?
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:
A scientist counted 3,921 total eggs in
49 sea turtle nests. Each nest had about
the same number of eggs. Which is the
best estimate of the number of eggs
she counted in each eggs?
find the highest common factor
Answer:
3x
Step-by-step explanation:
because both terms are common 12 and 6 is 3 and x² and x is x
Two sides of a rhombus are represented by (3X-6)cm and (x+14)cm. Find the length of each side in the rhombus
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.
Use the relationship between the angles in the figure to answer the question Which equation can be used to find the value of x? Of x x+49-28 = 180
- 49 - 28 = 180
x + 49 + 28 = 180
x + 28 = 180
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
eight years ago mario was 25% younger than he is now how old is mario now
Answer:
32.
Step-by-step explanation:
For each question, find the slope and the y-intercept
Answer:
y = mx+b
Slope (m) = -4/5
y-int = 14
Hope that helps
What is 5 14/12 in simplest form
Answer:
the answer is probably 7/6
hope I am correct and if not I'm sorry
NEED HELP ASAP WILL MARK BRAIN <3
A cash card has a starting value of $25. If the card is not used within the first year of its purchase, the value on the card begins to decrease by $2.50 per month.
The relationship between the number of months after the first year and the amount remaining on the card is .
The independent variable is the _____________?
The dependent variable is the ______________?
Question 3(Multiple Choice Worth 1 points)
(01.05 LC)
Which calculation can be used to find the value of y in the equation y3 = 27?
y=y equals 27 over 3
y=y equals cube root of 27
y=y equals square root of 27 over 3
y=y equals square root of 27
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
Which of the following equations have no solutions? Choose all answers that apply:
Answer:
All
Step-by-step explanation:
expand and simplify \left(4+\sqrt{2}\right)\left(6-\sqrt{2}\right) give your answer in the form of b +c \sqrt{2}
Answer:
you get 15\3 divide then you answer would be 5
Step-by-step explanation:
I NEED ANSWER ASAPPPP
boy-7/12
girl-5/12...................
On a coordinate plane, a parabola opens up. It goes through (negative 8, negative 2), has a vertex at (negative 5, negative 6.5), goes through (negative 2, negative 2), and has a y-intercept at (0, 6).
Over which interval is the graph of f(x) = one-halfx2 + 5x + 6 increasing?
(–6.5, ∞)
(–5, ∞)
(–∞, –5)
(–∞, –6.5)
Answer:
The top oneStep-by-step explanation:
Hope it helpsWhich rectangle is similar to a rectangle with length of 12 yards and 23 yards?
a rectangle with length 14 yards and 13 yards
a rectangle with length 14 yards and 25 yards
a rectangle with length 2 yards and 3 yards
a rectangle with length 212 yards and 223 yards
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.
Logan can make $50 per pool to clean pools during the summer to earn money. He did, however, need to
purchase some equipment to get started. After cleaning 3 pools, he was still down a total of $15.
Write a linear equation to represent the amount of money Logan has made, y, after cleaning x pools.
Answer:
Step-by-step explanation:
y = 50x - 165
What is the y-intercept of the equation y = 3x - 1
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
Write your answer as a fraction in simplest form.
6+(−434)+(−218)
[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
Find the Area and
Circumference of the
circle below.
מוח של
Use 3.24 for .
A=
C=
Answer:
you need to show the circumference, instead I cant help
i need help please thanks
Answer:
D) each input has only one output.
Step-by-step explanation:
Find the value of x and the indicated angles.
Answer:
x = 33Indicated angles: 126°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.
=> 4x - 6 = 2x + 60=> 4x - 2x = 6 + 60=> 2x = 66=> x = 33Since we have found the required variable, we can now solve the indicated variables.
Given angles:
4(33) - 62(33) + 60Let's solve 4(33) - 6 first.
4(33) - 6132 - 6126Therefore, 4(33) - 6 measures about 126°. Now, let's solve 2(33) + 60.
2(33) + 6066 + 60126We 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]
Martin drank 2/3 liter of water Monday before going jogging.He drank 3/7 liter of water after his jog.How much water did Martin drank altogether?Write your answer as a mixed number.
90% of _______ is 18.
In the accompanying diagram, overline BA perp overline BD and overline BC perp overline BE Which statement is true?
The measure of angle 1 is equal to angle 3
From the diagram, if BA is perpendicular to BD, then;
m<1 + m<2 = 90 degreesSimilarly, if BC is perpendicular to BE, then;
m<2 + m<3 = 90 degreesEquating both expressions will give:
m<1 + m<2 = m<2 + m<3Subtract 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
Roxanne's dining room is 4 meters wide and 5 meters long. Roxanne wants to install a new wood floor. It will cost $8.44 per square meter. How much will Roxanne's new floor cost?
$ ____
HELPP MEE PLEASEE!
Which of these is the correct root of the word judicial?
O A. jud = mankind
B. jud = book
C. jud = prophecy
O D. jud = law
SUBN