Please only answer if you have a serious answer not just “do your work” I’m in 18 classes and my school won’t let me out of any of them. I’m just really confused so any help would be nice!
Write your own quadratic equation in standard form. Convert this quadratic to factored form. Be sure to show all of your work. Post to the discussion board these two equations and the work you did to convert from quadratic form to standard form.
Now write a new, different quadratic function, f of x, in standard form. Convert this quadratic function to factored form. Post to the discussion board both of these functions and the work you completed to convert from the quadratic form of the function to the factored form of the function.
Use your factored equation and your factored function to explain the differences between roots, x-intercepts, zeros, and solutions.
Answers
9514 1404 393
Explanation:
1) 2x^2 -5x -3 = 0 . . . . standard form equation
To convert this to factored form, you can look for factors of the product (2)(-3) that have a sum of -5. It can help to start by listing the ways that -6 can be factored. Since we want the sum of factors to be negative, we want to have larger negative factors.
-6 = (1)(-6) = (2)(-3)
The sums of these factor pairs are -5 (what we want) and -1 (not relevant). We can call these factors p=1 and q=-6.
If a = 2 is the leading coefficient of our standard form quadratic, we want to use these factors in the form ...
(ax +p)(ax +q)/a . . . . . factored form of the quadratic
(2x +1)(2x +(-6))/2 . . . .fill in the values we know
(2x +1)(x -3) . . . . . . . factor 2 from the second binomial
So, the factored form of the quadratic equation is ...
(2x +1)(x -3) = 0 . . . . factored form equation
__
2) f(x) = x^2 +7x +10 . . . . standard form quadratic function
Using the thinking process described above, we are looking for factors of 10 that have a sum of 7. We know those are 2 and 5. So, the factored form of the function is ...
f(x) = (x +2)(x +5) . . . . . . factored form quadratic function
The leading coefficient is 1, so we have no further work to do.
Roots, x-intercepts, zeros
The graph attached below shows this function crosses the x-axis when x=-2 and x = -5. These values of x are variously called "roots", "x-intercepts", and "zeros" of the function. They are values for which the factors and the function are zero. (x+2=0 when x=-2, for example)
Solutions
Often, we are interested in solving the equation ...
f(x) = 0
For that equation, the solutions are the zeros or x-intercepts or roots. The graph attached also shows solutions for ...
f(x) = 4
Those solutions are x = -6 and x = -1. The function value is not zero for these values of x, so the roots, x-intercepts, or zeros are not solutions to this equation.
Related Questions
Please help! Giving out brainliest if possible
Answers
Answer:
$1840.00
Step-by-step explanation:
The answer is 1840.00 because the formula for a trapezoid is A=a+b
divided by 2, then multiply by height, so, you did that on one half of the trapezoid, then the result, x2. After that, you multiply the result by 4 since each square foot of the carpet costs $4. Then, the result would be 1840.00.
Hope this helps! :)
APQR , the measure of angle R=90^ , the measure of angle P=38^ , and PQ = 62 feet. Find the length of RP the nearest tenth of a foot .
Answers
Answer: 48.9
Step-by-step explanation:
Delta math
36 cups equals how many gallons
Answers
Answer:
2.25 gallons
Step-by-step explanation:
ggggdhdhdhdhdjd its right
Answer:
2.25 gallons
Step-by-step explanation:
I need help asap and work shown
Answers
Answer:
A. SinA=10/26 B. CosA=24/26 C. TanA=10/24 D. TanB=24/10
Step-by-step explanation:
You really need to remember this formula for trig: Soh Cah Toa
S=Sin O=Opposite H=Hypotenuse
C=Cosine A=Adjacent H= Hypot.
T=Tangent O= Oppo. A=Adjac.
Now if we take Soh, what it basically means is that the sine is equal to the opposite over the hypotenuse, same thing for the others, cosine is equal to the adjacent over the hypotenuse and tangent is equal to the opposite over adjacent. When you have a letter such as A or B in front of sin cos or tan, it represents which angle on the triangle does this imply to, if that makes sense. For example, for sin A you use Soh to find the ratio, opposite = 10 and hypotenuse = 26, so 10/26. Same thing for Cos A, adjacent = 24 and hypotenuse = 26. You apply the same thing for tan, but something happened, there is a TAN B, so what that means is that you go to angle B, and you apply the toa formula, opposite= 24 and adjacent = 10 so 24/10. Hope this answers your question. MAKE SURE YOU REDUCE YOUR RATIOS. :)
Use long division to write the rational number as a repeating decimal using bar notation.
**Put your answer in until the number starts repeating. Don't forget to put the bar over what repeats on your paper!**
13/6
Answers
..........................................................
x^2 + 5x + 6
enter your next step here:
Answers
then you can turn this into (x+2)(x+3)
Convert mixed number to improper fraction
2 3/5
Answers
Answer:
To convert mixed numbers you multiply the denominator by the whole number and add the numerator.
5×2+3=13/5
Step-by-step explanation:
Hope this helps:)
Answer:
Its 13/5
Step-by-step explanation:
The denominator is 5, so to make a whole, you need 5. Since you have 2 wholes, you multiply 5 by 2 to get 10. Then you add 3 and 10 and get 13/5. You never change the denominator in addition or subtraction.
Hope this helps >.<
Brendan made 12.25 pints of lemonade. He sells all of his lemonade to five
people so that each person gets the same amount. If he sells one pint for
$1.80, how much does each person pay for their portion?
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12.25 / 5 = 2.45
find the amount of money for each person’s pint
2.45 * $1.80 = $4.41
i hope this is correct :)
Help me please if u can ???
Answers
Answer: yeah...its thanks for the points
Step-by-step explanation:
-6 x (1/3 + 1/3)What is the answer?
Answers
Answer:
−4
Step-by-step explanation
Answer:
−4
Step-by-step explanation:
-6 x (1/3 + 1/3)
Since 1/3 and 1/3 have the same denominator, add them by adding their numerators.
-6 x (1+1/3)
Add 1 and 1 to get 2.
-6 x (2/3)
Express -6 x (2/3) as a single fraction.
-6 x 2/3
Multiply −6 and 2 to get −12.
-12/3
Divide −12 by 3 to get −4.
−4
f – 5.2 1.6
answer pls
Answers
Answer: what u mean
Step-by-step explanation:
Answer:
huh what do you mean picture?
I need to find the area please help!
Answers
Answer:
A=48
Step-by-step explanation:
formula: Base 1 + base 2 ÷2 × height
Wich of the expressions simplify 10y + 8??
Answers
Answer:
2(5y+4)
Step-by-step explanation:
Answer:
2(5y+4)
Step-by-step explanation:
You factor out a two, and then it will be simplified. You can't factor out another two, because 5 is not divisble by two.
Help me please I need the answer
Answers
What is the coefficient in the following expression?
3x + 9
Answers
Answer:
3
Step-by-step explanation:
The number that is being multiplied by the variable is the coefficient.
NEED HELP ASAP
Wilhelm bought some shirts. He paid $12 for each shirt. This can be modeled by the expression 12x. what does x represent?
Answers
Answer:
x represents the number of shirts he bought
For example:
If the equation was like this
12(3)
then that would mean Willhelm bought 3 shirts.
Hope this helps!! Have a nice day!
Write 100,000 as a power of 10.
Answers
Answer:
10^5
Step-by-step explanation:
An easy way is to count the number of zeroes. 100,000 has 5 zeroes and so it is 10^5, or 10*10*10*10*10.
Answer: 10^5
Step-by-step explanation:
There’s 5 zeroes so the exponent is 5
I’ll give someone brainliest if they answer this I got them wrong unfortunately
Answers
Answer:
for number 4 its c and d
for number 5 its b
Step-by-step explanation:
hope this helps :D
10. In the drawing below, the dashed line segment represents the distance across a pond. What is the actual
distance across the pond?
A. 27 in
Pond
B. 47 yds.
C. 10 in
1 Inch : 2 yards
D. 20 yds.
-8 in
6 in.
Scale
Answers
Answer:
D. 20 yds
Step-by-step explanation:
✔️First, find the distance across across the pond on the drawing using Pythagorean Theorem:
Distance across = √(6² + 8²) = √100
Distance across on drawing = 10 in.
✔️Next, find the actual distance using the scale of 1 inch : 2 yards:
The scale implies that,
1 inch represents 2 yards
Therefore:
10 inches will represent = 10 × 2 = 20 yards
como simplifica essa expressão: 2*(x+5)+3*(5x+6):
Answers
Answer:
17 x + 28
Step-by-step explanation:
Simplify the following:
2 (x + 5) + 3 (5 x + 6)
Hint: | Distribute 2 over x + 5.
2 (x + 5) = 2 x + 10:
10 + 2 x + 3 (5 x + 6)
Hint: | Distribute 3 over 5 x + 6.
3 (5 x + 6) = 15 x + 18:
10 + 2 x + 18 + 15 x
Hint: | Group like terms in 10 + 2 x + 18 + 15 x.
Grouping like terms, 10 + 2 x + 18 + 15 x = (2 x + 15 x) + (10 + 18):
(2 x + 15 x) + (10 + 18)
Hint: | Add like terms in 2 x + 15 x.
2 x + 15 x = 17 x:
17 x + (10 + 18)
Hint: | Evaluate 10 + 18 using long addition.
| 1 | 8
+ | 1 | 0
| 2 | 8:
Answer: 17 x + 28
is this a function or no?
i just need a simple yes or no please ;-;
Answers
Fill in the blank to make a true equation
15+10=5(3+___)
Answers
Answer:
2
Step-by-step explanation:
15+10=5(3+_)
25=5(3+_)
25 divide by 5 equals 5
5-3=2!
Answer:
2
Step-by-step explanation:
When you distribute the 5 to the 3 and the 2 it makes 15 + 10 which is equal to the other side of the equation.
Pls help me pls help me
Answers
sorry i don’t know how to type the radical, but where the “sqrt” is the would be the symbol
I’ve included the work below
everything greater than -6
Answers
Answer:
-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, and anything else above.
Step-by-step explanation:
Answer: there’s a lot of things that is great than -6, for example 75, 83,1,2,3,4,,5,6,8,9,10, 639, 938. These are just some
Step-by-step explanation:
Which equation represents a slope of 4 and (5,-2)?
y-2=4(x-5)
y-5=4(x-2)
y+2=4(x+5)
y+2=4(x-5)
Answers
Answer:
Step-by-step explanation:
the formula is named the point slope formula for a reason. and you have show both of them in the question , the slope and the point are given
y - y1 = m(x-x1)
so for your answer
y-(-2) = 4(x-5)
y+2 = 4(x-5) is the right answer
Determine the domain of the following graph:
Answers
Answer:
[0,11)
Step-by-step explanation:
the function is defined over {0,11) because it includes x=0, but has an open dot at x=11.
Find the quadratic equation whose roots are 5 and -5.
Answers
Answer:
Step-by-step explanation:
look it up
What is the area of this figure?
Enter your answer as a decimal in the box.
cm²
Answers
Answer:
The Answer is 137.5 :)
Step-by-step explanation:
I took the Test ♡
What value of x makes this proportion true?
3 15
х 40
O A. 5
O B. 8
O c. 105
O D. 28
Answers
quanto e 506 em numeros romanos?
Answers
Answer:
506 DVI
Step-by-step explanation:
..............
506 en numero romanos es
DVI