Answers
Step-by-step explanation:
these are both quadratic curves, parabolas, and factorization means to express the 2 terms as multiplication with each other, so that the result would be the simplified function. in other words : find the two factor terms that make the whole function.
the advantage of factorization is to see the 2 solutions for y=0 right away.
the general form is
y = (x + a)(x + b)
and the y=0 solutions are then simply x = -a and x = -b.
in example 3 we have 2 different y=0 solutions, seemingly at x = 1 and x = 5.
that makes the factorization :
y = (x - 1)(x - 5)
when x becomes one of these values, the corresponding factor becomes 0 and therefore y becomes 0 too.
in example 4 we have only one y=0 solution (or so it seems; in fact there are still formally 2 solutions, they are just equal).
it is seemingly at x = -2.
since both solutions are equal, we have also two equal factors.
that makes the factorization
y = (x + 2)(x + 2) = (x + 2)²
Related Questions
Twice the sum of a certain number and 36 is 90?
Answers
Step-by-step explanation:
Let the number be x
According to the question
2(x+36)=90
2x+72=90
2x=90-72
2x=18
x=18/2
x=9
Identify the graph that matches the piecewise function
Answers
Please help me ASAP
Answers
Answer:
A: 9.5s+19.95 is less than or equal to 55
Step-by-step explanation:
She has no more than 55 dollars to spend so it cant be greater than but it can be equal to 55 so the answer is the first option
A jogger ran 13.5 miles in 3 hours.
What is the unit rate?
Answers
Answer:
Unit rate = 4.5 mph.
Step-by-step explanation:
Unit rate: 13.5/3
=> Unit rate: 4.5 mph.
Hoped this helped.
PLZ HELP ASAP IS FOR IMPORTANT ASSIGNMENT Find the function that represents the relationship shown in the
table below and explain how you determined the equation by
showing your solution and adding statements to explain your
steps.
X
0
1
2
3
4
ON
у
-5
9
16
23
N
Edit
View
Insert
Format
Tools
Table
Answers
Answer:
Step-by-step explanation:
Why is this so hard?
Answers
Answer:
Nothing is hard if you put your mind to it.
Step-by-step explanation:
Relatively Simple Math, pls lend a hand. All my points and Brainliest
Answers
how do i rewrite -2/3x+2y=-7 in slope intercept form?
Answers
Answer:
y=1/3x-7/2
Step-by-step explanation:
First get the 2y by itself by adding 2/3x to both sides. Then subtract both sides by 2.
To do this put equation in y=mx+b
PLEASE SHOW YOUR WORK!!!
Solve for y: 3^3 + 14 y- (25y - 13) = y + 7y - 9y
Answers
Answer:
y = 4
Step-by-step explanation:
3^3 + 14y - (25y - 13) = y + 7y - 9y
Exponents first.
27 + 14y - (25y - 13) = y + 7y - 9y
Distribute the negative sign from the parenthesis.
27 + 14y - 25y + 13 = y + 7y - 9y
Common terms.
27 + 13 = 40
14y - 25y = -11y
y + 7y - 9y = -y
40 - 11y = -y
Add 11 to both sides.
40 = 10y
Divide both sides by 10.
4 = y
Rearrange.
y = 4.
Tell whether the pairing is a function.
2.
Input
3
6
9
12
Output
1
2
N
1
Is it a function?
Answers
Answer:
I believe that it is function
Jake Visits his relatives on Thanksgiving. He first travels to his parents'
place which is 5 miles straight NORTH. He then travels to his grandparents'
which is 5 miles straight WEST from his parent's house. What is the total
distance of Jake's Journey? What is the total displacement of Jake's
Journey?*
Distance 10 Miles: Displacement 10 Mlles
Distance 5 Miles: Displacement 5 miles
Distance 10 miles: Displacement 7.07 miles
Distance 5 miles : Displacement 7.07 miles
Answers
Answer:
Distance 10 miles: Displacement 7.07 miles
Step-by-step explanation:
Let's depict Jake's journey on the Cartesian coordinate axis. Let Jake initially be at the point (0 ; 0 ) . Then you can determine how far from the starting point (0; 0) it has moved away (displacement ). According to the Pythagorean theorem , we will find it He walked 10 miles And displacement is found by the Pythagorean theorem
[tex]\bf displacement = \sqrt{5^2+5^2} =\sqrt{50} \approx 7.07m[/tex]
Then the answer is : Distance 10 miles: Displacement 7.07 miles
A coin is flipped 10 times. What is the probability of getting exactly 4 tails?
Answers
Answer: The probability is approximately 20.51%.
Step-by-step explanation:
ADD the given the polynomials: (x + 2) + (8x + 4)
CHOOSE THE RIGHT ANSWER:
A] 9x + 6
B] 8x + 6
C] 7x + 6
D] 9x + 8
NEED SOLUTION PLS!
Answers
Answer:
the answer is 9x + 6 ......
Answer:
[tex] = > (x + 2) + (8x + 4)[/tex]
[tex] = > x + 2 + 8x + 4[/tex]
[tex] = > x + 8x + 2 + 4[/tex]
[tex] = > 9x + 6[/tex]
13 If CDEF is a rhombus, find m FED.
Answers
Answer:
36
Step-by-step explanation:
8x-20=5x+1
-5 -5
3x=-20+1
+20 +20
3x=21
3 3
x=7
8(7)-20
FED=36
Which expressions have a value of 54 when v= 6? Choose all the correct answers.
A 2(v2 – 9)
B V3 = 18 + 3
C (2v)2 – 90
-
D 13 = 3 – 18
E 2(v2 – 90)
F (v + 2)2 – 10
Answers
I need help please please please
Answers
Answer:
$28
Step-by-step explanation:
5.5% is $1.54 of what number? (%/100= is/of)
5.5/100 = 1.54/X
X = (1.54 * 100) / 5.5 = $28
Answer:
sus
Step-by-step explanation:
O_O
find four rational numbers between -5 and 8
Answers
Answer:
4.3, 4,5, 5.4, and 5.5
Step-by-step explanation:
how do I make this as simplest form
qns: 5 2/3 + 3 1/10
pls answer
the prod. is 8 23/30
Answers
Answer:
That is the final product
Step-by-step explanation:
According to all sites I used, they all said that was in the simplest form and cannot be simplified lower than that.
Please Help! Angle 3 is equal to angle __.
Answers
Answer:
Angle 5
Step-by-step explanation:
It is angle 5 because they are mirrored.
Which of the following is a factor of
f(x) = x - 3x² - 64x - 60?
(x - 1)
(x - 3)
(x + 10)
(x+6)
Answers
Answer:
x-1
MARK ME BRAINLIEST PLSA. What is the formula for exponential growth?
B. What does each variable mean?
Please someone help!!! It’s for my final pleaseee!!!
Answers
Answer:
A. exponential growth or decay function is a function that grows or shrinks at a constant percent growth rate. The equation can be written in the form f(x) = a(1 + r)x or f(x) = abx where b = 1 + r. ... r is the percent growth or decay rate, written as a decimal, b is the growth factor or growth multiplier.
Similar Triangles
In the figure below, AB has length 6 feet, BC has length 8 feet and CD has length 7 feet.
If angles B and D are right angles, what is the length of DE rounded to the nearest tenth foot?
Answers
Answer:
5.3 ft
Step-by-step explanation:
Because CD corresponds to BC, the scale factor from triangle ABC to triangle CDE, is 7/8. Now, DE corresponds to AB, so to get DE, we must multiply the value of AB by 7/8. 6 times 7/8 is 5.25, and rounding to the nearest tenth of a foot, the value of DE is 5.3.
which histogram helps best predict how much time until the next customer comes into the Clothes Shoppe.
Answers
Ps. - don’t forget to dm me
What is the inverse of the function g(x)=
-3(x + 6)?
g-1(x) =
Answers
darlene has a rooftop carrier for her car. She puts 5 items in the carrier
with the following weights, in pounds: 10.4, 13, 8, 112, and 15.7.
3
10
A. Write and evaluate an expression to find the total weight of the
5 items.
Answers
Answer:
159.1
Step-by-step explanation:
The expression would be 10.4+13+8+112+15.7, which equals 159.1 which is the total weight.
what is 433.54 in terms of pi?
Answers
Answer:
The angle value 433.54 π rad (pi radian) in words is "four hundred and thirty-three point five four π rad (pi radian)".
Step-by-step explanation:
got the information from the internet
x divide3=8 solve equation for x
Answers
Answer:
x = 24
Step-by-step explanation:
x ÷ 3 = 8
you multiply both sides by three
so it cancels out 3 and 8 × 3 = 24
so your answer is 24
hope this helps
If f(x) = 3^{2+x}-3f(x)=3
2+x
−3, what is the value of f(-4)f(−4), to the nearest hundredth (if necessary)?
Answers
To solve this function, the x is replaced with the new value (-4) This means that once simplified it turns into 3^(-2) - 3
Once simplified this value equals -2.89 when rounded
Mrs.Peterson dropped a ball from the top of a tower. At the same time, her son, Drake, launches a rocket from a different level of the tower.
The height of the tennis ball in feet after t seconds can be represented by the quadratic function: b(t)=-t^2-2t+26.
The height of Drakes rocket after t seconds can be represented by the linear function: p(t)=-2t+10.
What are the two solutions to this system? Show your work.
Explain which solution is not reasonable in this situation.
After how many seconds do the rocket and the ball reach the same height.
Answers
9514 1404 393
Answer:
two solutions: t = -4, t = 4t = -4 is not reasonable4 secondsStep-by-step explanation:
A graphing calculator shows the two solutions to be ...
(t, h) = (-4, 18) and (4, 2)
__
The two heights will be equal when ...
p(t) = b(t)
-2t +10 = -t^2 -2t +26
t^2 -16 = 0 . . . . subtract the right side expression
(t -4)(t +4) = 0 . . . factor the difference of squares
t = 4 or -4 . . . . values of t that make the factors zero
At these times, the heights will be ...
p(t) = -2{4, -4} +10 = {-8, 8} +10 = {2, 18}
The solutions are ...
(t, height) = (-4, 18) and (4, 2).
__
We generally discount solutions for negative time, because we start counting time when the objects are launched. t = -4 is an extraneous solution.
__
The rocket and ball reach the same height after 4 seconds.
1.3.2 checkup - lessons learned
2. What is the slope of the line represented by the table of values below? How do you know?
Answers
Answer:
y=2/3x-4
Step-by-step explanation:
we can see that x goes up 1 for every 1.5y and if we start y at 0 x starts at -4 so if y is one than x has to be 2/3-4 becuase it is -4 + 2/3 for every 1 y goes up or one for every 1.5 y goes up. hope this answer was helpful.