Answers
Answers:
a = 3
b = 3
c = -6
=====================================
Explanation:
The roots are x = 1 and x = -2. This leads to the factors x-1 and x+2 respectively.
This is because something like x = 1 becomes x-1 = 0 after subtracting 1 from both sides. For x = -2, we add 2 to both sides getting x+2 = 0.
The factorization is y = a(x-1)(x+2)
Plug in (x,y) = (2,12) and solve for 'a'
y = a(x-1)(x+2)
12 = a(2-1)(2+2)
12 = a(1)(4)
12 = 4a
12/4 = a
3 = a
a = 3
So we have y = a(x-1)(x+2) update to y = 3(x-1)(x+2)
--------------------------------------
The last thing we need to do is expand everything out (use the FOIL rule then distributive rule) to get the equation into standard form
y = 3(x-1)(x+2)
y = 3(x^2+2x-1x-2)
y = 3(x^2+x-2)
y = 3x^2+3x-6
Comparing this to y = ax^2+bx+c shows that:
a = 3
b = 3
c = -6
The graph is below.
Related Questions
Help me solve for t please
Answers
Answer:
[tex]t = \frac{ v_{1} - v_{0}}{a} \\[/tex]
Step-by-step explanation:
[tex]a = \frac{v_{1} - v_{0}}{t} \\ a \times t = v_{1} - v_{0} \\ \frac{at}{a} = \frac{ v_{1} - v_{0} }{a} \\ t = \frac{ v_{1} - v_{0}}{a} \\ [/tex]
resolve (5x+4) /( (x-4)( x+2))
Answers
Answer:
Step-by-step explanation:
Hello!
(5x+4) /( (x-4)( x+2))
(5x+4)/ (x² +2x -4x -8)=
(5x+4) /( x²-2x -8)
A system of linear equations includes the line that is created by the equation y = x+ 3, graphed below, and the line through the points (3, 1) and (4, 3).
On a coordinate plane, a line goes through (0, 3) and (2, 5).
What is the solution to the system of equations?
(–1, 2)
(1, 3)
(8, 11)
(9, 12)
i really dont get this at all can someone help me and explain
Answers
Answer:
(8,11)
Step-by-step explanation:
1st line
y = x+ 3
We need to find the equation of the other line
We have two points (3, 1) and (4, 3)
Slope
m = (y2-y1)/(x2-x1)
= ( 3-1)/(4-3)
= 2/1 = 2
The slope intercept form is y = mx+b where m is the slope and b is the y intercept
y =2x+b
Using the point (4,3)
3 = 2(4)+b
3 = 8+b
3-8=b
-5 =b
y = 2x-5
We have 2 lines
y =x+3 and y = 2x-5
Setting them equal to each other
x+3 = 2x-5
Subtract x from each side
x+3-x = 2x-5-x
3 = x-5
Add 5 to each side
3+5 =x-5+5
8=x
Now we can find y
y =x+3
y = 8+3
y=11
Answer:
c (8,11)
Step-by-step explanation:
Find the length of UC? Please help
Answers
Answer:
The choose C. 18
Step-by-step explanation:
UC —> 105+82=187 —> 96+22+51=169 —> 187–169=18
I hope I helped you^_^
A body recieves impluse of 24Ns and 35Ns inclined 55° to each other.Calculate the total impulse
Answers
Answer:
Se determina mediante al auxilio del cálculo integral.
Supongamos una fuerza variable con el tiempo. Entonces el impulso es:
J = ∫F(t) dt, para t entre t y to
Si es variable con la posición o con la velocidad se deberá expresar la integral en términos de la posición o de la velocidad.
Step-by-step explanation:
PLS TELL ME HOW TO FIND THIS ANGLE
Answers
Answer:
it is 80⁰
Step-by-step explanation:
cuz the it vertical angle
and to find a just get
180-80-70
What is the price after taking 25% off $62?
Answers
Answer:
46.5 DOLLARS WILL BE YOUR ANSWER .Answer:
$46.50
Step-by-step explanation:
pls mark brainliest
Which equation can be solved using the one-to-one property?
3X = 10
4In x = 2
log x = 5
4* = 47x+2
Answers
Answer:
3x=10
Step-by-step explanation:
x=10-3
x=7
i hope this answer will help u
Answer:
4x = 47x+2
Step-by-step explanation:
Using the one–to–one property, you can set x = 7x + 2.
Question 7 of 10
A construction worker needs to put a rectangular window in the side of a
building. He knows from measuring that the top and bottom of the window
have a width of 5 feet and the sides have a length of 12 feet. He also
measured one diagonal to be 13 feet. What is the length of the other
diagonal?
O A. 12 feet
B. 13 feet
O C. 5 feet
O D. 17 feet
Answers
Answer:
13
Step-by-step explanation:
The diagonals of rectangle are equal in length.
could I have some help, please! Thank you so much
Answers
Answer:
a.125.89..............
the ordered pairs model an exponential function, where w is the function name and t is the input variable.
{(1, 60), (2, 240), (3, 960), (4, 3840)}
what is the function equation in sequence notation?
wt = ____
Answers
Answer:
w = 15 (4^t)
Step-by-step explanation:
Let w be what the function is equal to
Let t be the input variable
equation :
w = k a^t
Plug in any two of the points to solve for k and a
for example, let's take (1, 60) and (2, 240):
60 = k * a^1
k = 60 / a
240 = k a^2
Substituting:
240 = 60/a (a^2)
a = 4
k = 15
The function is
w = 15 (4^t)
Find the 5th term of each geometric sequence. 32,80, 200
Answers
Answer:
12.8
Step-by-step explanation:
what is the area of the figure below?
Answers
Answer:
15x^9
Step-by-step explanation:
A=l x w
5x^4 times 3x^5 is basically 3*5*x^4*x^5
when you multiply exponents with the same base, you add the exponents, so it becomes 15x^9
assume abc=def. if ab=5, ac=9 and ef=7, what is the length of bc?
Answers
Answer:
bc= 7
Step-by-step explanation:
factorise [tex]x^{2} - 121[/tex]
Answers
Answer:
(x+11)(x-11)
Step-by-step explanation:
Hello!
We are given the expression x²-121, and we want to factor it
The expression is a difference of squares expression.
The formula for the difference of squares is written as a²-b² can be factored as (a-b)(a+b)
121 is 11 squared, and x² is x squared
So that means that a=x, and b=11 in this case
Now substitute those values into the formula
a²-b²=x²-121=(x+11)(x-11)
Hope this helps!
Answer:
(x-11)(x+11)
Step-by-step explanation:
x^2 -121
x^2 -11^2
This is the difference of squares a^2 - b^2 = (a-b)(a+b)
(x-11)(x+11)
What is the domain of g(x)
X is a real number
Answers
Answer:
The doing would be x
Step-by-step explanation:
since you are calculating domain for a specific value it would be the corresponding g(x) value which is the domain
how many subsets can be formed of a set A={a,b}
Answers
Answer:
4
Step-by-step explanation:
(a,a),(a,b),(b,a),(b,b)
solve for F ------- 2/3 + f = 1/5
A= 13/15
B= 7/15
C= - !3/15
D= - 7/15
Answers
[tex]\\ \sf\longmapsto \dfrac{2}{3}+f=\dfrac{1}{5}[/tex]
[tex]\\ \sf\longmapsto f=\dfrac{1}{5}-\dfrac{2}{3}[/tex]
[tex]\\ \sf\longmapsto f=\dfrac{3-10}{15}[/tex]
[tex]\\ \sf\longmapsto f=\dfrac{-7}{15}[/tex]
Answer:
D. -7/15
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
f+ 2/3-2/3= 1/5-2/3
Step 2: Subtract 2/3 from both sides.
f= -7/15
Find the measure of the missing angle.
156°
a =
Answers
Answer:
Below!
Step-by-step explanation:
A straight line = 180 degrees, so all you need to do to find angle a is to subtract 156 from 180!
180 - 156 = 24 degrees
Hope this helped!
equation of the line which passes through point (0,5) at gradient of - 1
Answers
Answer:
y = - x + 5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here gradient (slope) = - 1 and (0, 5) ⇒ c = 5
y = - x + 5 ← equation of line
Instructions: Find the missing side. Round your answer to the nearest tenth.
х
28°
25
Answers
Ans : 22
if my ans wrong im srry
Answer:
25 +28+x=180
53+x=180
x=180_53
x=127
explanation would be appreciated. i don’t understand
Answers
Answer:
[tex]28\sqrt{3}[/tex]
Step-by-step explanation:
The area of the big triangle is 1/2 b h = 1/2*6*(12^2 = 6^2 + x^2)
that ends up being [tex]\sqrt{108} = 36\sqrt{3}[/tex]
the small triangle are needs to be subtracted....
[tex]\frac{\left(4\cdot \:sin\left(90\right)\right)}{sin\left(30\right)}[/tex] that is the length of the unknown side...
1/2 B * h of that triangle get you to [tex]8\sqrt{3}[/tex]
just subtract the two areas
Answer:
(B) 28√3
Step-by-step explanation:
The area of quadrilateral ABED is equal to the area of triangle CDE subtracted from the area of triangle ABC.
Area of triangle CDE:
Triangle ABC is equilateral. All sides have length 12.
AB = BC = AC = 12
BE = 8
BE + EC = BC
8 + EC = 12
EC = 4
In an equilateral triangle, all angles measure 60°.
m<C = 60°
m<CDE = 30°
Triangle CDE is a 30-60-90 triangle.
DE = EC√3
DE = 4√3
area of triangle CDE = bh/2
area of triangle CDE = (EC)(DE)/2
area of triangle CDE = (4)(4√3)/2
area of triangle CDE = 8√3
Area of triangle ABC:
Side AC is a base of triangle ABC.
AC = 12
(1/2)AC = 6
The altitude of triangle ABC from side AC to vertex B measures
h = 6√3
area of triangle ABC = bh/2
area of triangle ABC = (AC)(h)/2
area of triangle ABC = (12)(6√3)/2
area of triangle ABC = 36√3
area of quadrilateral ABED = area of triangle ABC - area of triangle CDE
area of quadrilateral ABED = 36√3 - 8√3
area of quadrilateral ABED = 28√3
The entrance ticket for a carnival costs $89.97, which includes a royal meal
that costs $10.85, 1 play station game, and 3 water rides (Each water ride
costs the same price). The cost of a water ride is twice as that of a play
station game. Find the cost of a water ride. Estimate to the nearest tenths.
Answers
Answer:
Cost of a play station game = $11.3
Cost of each water ride = $22.6
Step-by-step explanation:
Entrance tickets = $89.97
Royal meal = $10.85
Cost of a play station game = x
Cost of each water ride = 2x
Find the cost of a water ride
Entrance tickets = Royal meal + 1 play station game + 3 water rides
89.97 = 10.85 + 1(x) + 3(2x)
89.97 = 10.85 + x + 6x
89.97 = 10.85 + 7x
89.97 - 10.85 = 7x
79.12 = 7x
x = 79.12/7
x = 11.302857142857
Approximately to the nearest tenth
x = $11.3
Cost of a play station game = x = $11.3
Cost of each water ride = 2x
= 2(11.3)
= $22.6
What is the estimate for 312+138+207
Answers
Answer:
657
Step-by-step explanation:
312 + 138 + 207
= 450 + 207
= 657
Answer:
600
Step-by-step explanation:
To round your answer, you check the tenths place to see if it is under 5 or above 5. If it is under 5, your answer will stay in the number the hundreds place is in currently. If it is above 5, you will add one to the hundreds place.
312: there is one in the tenths place, so it will stay as 300.
138: there is three in the tenths place, so it will stay as 100.
207: there is a zero in the tenths place, so it will stay as 200.
If you are doing it with the one's place, it is the same method. Either round up or down.
300 + 100 + 200 = 600
The answer is 600.
Select the correct answer from each drop-down menu.
The table shows certain values of a cubic function.
Answers
Answer:
7 and - infinity
Step-by-step explanation:
The function is decreasing in nature. The function has a maxima when x is near 7 and as the function is decreasing, the function will approach -infinity as x approaches positive infinity.
Find the length of AC
Answers
Answer:
B. 9.35
Hope this helps...Have a good day!!
Which graph represents the step function f(x)=⌊x+2⌋?
Answers
Answer:
biyotiptol graph by using pen
Help help help help help help help help help help help help
Answers
Answer:
$32.07
Step-by-step explanation:
I am not sure - are we seeing the full information about this problem ?
because the problem description is strangely vague and confusing, as it uses "total cost" two times for not the same thing ...
either total cost means including tax or not including tax. but it cannot mean both ...
I think the most likely understanding of this problem is that the first price is without tax, and now we need to calculate and add the extra 6% tax to get the really total price to be paid.
I will solve this now based on this assumption.
100% = $30.25
1% = 100%/100 = 30.25/100 = $0.3025
6% = 6×1% = 6×0.3025 = $1.815 ≈ $1.82
the total price is then calculated either by
100% + 6%
or by
106% = 100%×1.06 = 30.25×1.06 = $32.065 ≈ $32.07
in both cases we get the same result, of course.
Answer:
32.171
Step-by-step explanation:
SEE QUESTION IN IMAGE
Answers
Answer:
(b)
Total frequencies:
25 - 4 = 21Multiples of 3 or 5:
6, 9, 10, 12, 15, 18, 20, 21, 24, 25 - total of 10Required probability:
P(3x or 5x) = 10/21(c)
Limes = 10 + 6 = 16Apples = 8 + 6 = 14Total = 16 + 14 = 30(i) Good limes = GL = 10
P(GL, GL) = 10/30*9/29 = 3/29(ii) Good fruits = GF = 10 + 8 = 18
P(GF, GF) = 18/30*17/29 = 51/145(iii) Good apple = GA = 8, Bad lime = BL = 6
P(GA&BL or BL&GA)) = 8/30*6/29 + 6/30*8/29 = 16/145Find the value of x to the nearest tenth.
Answers
Answer:
around 4.1
Step-by-step explanation:
Using Pythaogrean theorem we get sqrt 32 or 4sqrt2 for the diagonal of the square.
To get x we can use Pythagorean theorem again to set up an equation,
32 + x^2 = 49
This gives us x = sqrt17, which is approximately 4.1231 or around 4.1
Answer:
Step-by-step explanation:
