2 Find an equation in the form y = ax? + bx + c for the parabola passing through the points. (3. – 56). (-1, - 16). (-2,- 51)
help me please!!!
Answers
Answer:
Step-by-step explanation:
Many ways to do this in the details.
All start by writing three equations with three unknowns
-56 = a(3²) + b(3) + c
-56 = 9a + 3b + c 1)
-16 = a(-1²) + b(-1) + c
-16 = a - b + c 2)
-51 = a(-2²) + b(-2) + c
-51 = 4a - 2b + c 3)
subtract equation 2 from equation 1
-40 = 8a + 4b
--10 = 2a + b
b = -10 - 2a 4)
subtract equation 3 from equation 1
-5 = 5a + 5b
-1 = a + b 5)
substitute 4 into 5
-1 = a + (-10 - 2a)
-1 = - a - 10
a = - 9
substitute a into 4
b = -10 - 2(-9)
b = 8
substitute a and b into any of 1, 2, or 3
-51 = 4(-9) - 2(8) + c
-51 = -36 - 16 + c
c = 1
y = -9x² + 8x + 1
We can use a plotting calculator to confirm our result.
Related Questions
Which term best describes the geometric figure?
Line
Point
Ray
Segment
Answers
Answer:
point
Step-by-step explanation:
the dot has no connectives or no paths
The best describes the geometric figure is a point. SO option B is correct.
What is a line segment?A line segment is a part of a line that connects two points which are considered to be its endpoints.
If points A and B are connected by a series of points that extended infinitely in opposite direction then AB is a line.
Therefore, The best describes the geometric figure is a point. SO option B is correct.
Find out more information about line segment here;
brainly.com/question/25727583
#SPJ5
Solve: multiplying decimals with powers of 10, complete this and get brainliest
Answers
Answer:
1. 79,210
2. 6,231
3. 23.4
Step-by-step explanation:
1. 7.921 * 10^4
10 ^ 4 = 10000
move the decimal point four places to the right
= 79,210
2. 6.231 * 10^3
10 ^ 3 is 1000
move the decimal point three places to the right
6,231
3. 0.234 * 10^2
10 ^ 2 is 100
move the decimal two places to the right
23.4
A function f is defined by f(x) = 3x + 1. Find
a. f(0)=
c. f(2)=
F(-2)
Answers
Answer:
a) f(0)=3*0+1 =0+1= 1
b)f(2)=3*2+1=6+1=7
c)f(-2)=3*(-2)+1=-6+1=-5
Answer:
Step-by-step explanation:
f(x) = 3x+1
f(0) = 3x + 1
f(0) = 3*0+1
f(0) = 0+1
f(0) = 1
f(2) = 3x+1
f(2) = 3*2+1
f(2) = 6+1
f(2) = 7
f(-2) =3x+1
f(-2) =3*-2+1
f(-2) = -6+1
f(-2) = -5
f(-2) =
Please help !!!! TIA
Draw Venn diagrams to show the prime factors for each of the following sets of three numbers.
a. 12, 14, 70
b. 6, 7, 8
Answers
Answer:
See attached file.
Step-by-step explanation:
Identify the angles that each have a measure of 60\degree
Answers
Answer:
parrelel
Step-by-step explanation:
What is the missing measure?
Answers
Answer:
Step-by-step explanation:
This is a problem of ratios:
Set the problem up with matching similar side lengths equal:
50/10 = x/12
First simplify the left side:
50/10 = 5
Next, multiply both sides by 12.
We are left with:
x = 12(5)
x = 60
canh square roots be rational numbers ?
Answers
All rational numbers have the fraction form
,
a
b
,
where a and b are integers(≠0
b
≠
0
).
My question is: for what
a
and
b
does the fraction have rational square root? The simple answer would be when both are perfect squares, but if two perfect squares are multiplied by a common integer
n
, the result may not be two perfect squares. Like:
49→818
4
9
→
8
18
And intuitively, without factoring, =8
a
=
8
and =18
b
=
18
must qualify by some standard to have a rational square root.
Once this is solved, can this be extended to any degree of roots? Like for what
a
and
b
does the fraction have rational
n
th root?
Have a blessed day God bless.
the price is three for $1.48 how much will one pepper cost?
Answers
Answer:
$0.4933
Step-by-step explanation:
i guess
Just divided by 3 ;)
Hey may someone please help me<4! I’ll greatly appreciate it
Answers
Answer:
1st figure out how many feet in 1 yard
Then you can take that number <x>
X x 5
Step-by-step explanation:
Answer:
1.67 yards or 5/3
Step-by-step explanation:
I just looked it up
if sin2x,1,cos2x are in gp ,then x =
Answers
Answer:
Man I can't express how much joy I have rn. thanks man!
Q1: The first three stages of a pattern are shown below. Each stage of the pattern is made up of small squares. Each small square has an area of one square unit. Stage 1 Stage 2 (a) Draw the next two stages of the pattern. (b) The perimeter of Stage 1 of the pattern is four units. The perimeter of Stage 3 Stage 2 of the pattern is 12 units. Find a general formula for the perimeter of Stage n of the pattern, where # EN. (c) Find a general formula for the area of Stage n of the pattern, where E N. (d) What kind of sequence (arithmetic, quadratic, geometric, or none of these) do the areas follow? Justify your answer.
Answers
9514 1404 393
Answer:
a) see attached for the drawings
b) p = 8n -4
c) a(n) = 4n(n -3) +13 for n > 1; a(1) = 1
d) none
Step-by-step explanation:
a) The overall dimensions of the next two stages of the pattern will be 7×7 and 9×9. Excluding the 4 "ears", the central squares are 5×5 and 7×7. The drawings are shown in the attachment.
__
b) The sequence of perimeter values is ...
4, 12, 20, 28, 36, ...
This is an arithmetic sequence with a common difference of 8. A suitable formula for the perimeter p of stage n is ...
p = 8n -4
__
c) The sequence of area values is ...
1, 5, 13, 29, 53, ...
The first differences are ...
4, 8, 16, 24, ...
and the second differences are ...
4, 8, 8, ...
At no level are the differences "common", so this sequence cannot be described by a polynomial function. After the first one, the second differences are common, so the sequence after the first term can be described by a quadratic function.
The function describing the sequence must be defined in two parts:
[tex]a(n)=\begin{cases}1&\text{ for $n = 1$}\\4n(n-3)+13&\text{ for $n>1$}\end{cases}[/tex]
__
d) Because the function must be piecewise defined, the area sequence is not any of the types of sequences listed. After the first term, it is a quadratic sequence.
_____
Additional comment
The leading coefficient of the quadratic formula for the area sequence is half the second difference. When 4n² is subtracted from the sequence of areas, the remaining arithmetic sequence has a common difference of -12. In order to bring the total of these quadratic and arithmetic sequences up to the correct area value, 13 must be added. This formula would give a(1) = a(2) = 5, which is not the correct value for a(1). Hence, that must be defined separately.
17 in 24 in. 12 in) what is the area of the parallelogram??
Answers
Answer:
53 in.
Step-by-step explanation:
17 + 24 + 12=53
don't forget the in.
The bearing of point Y from point X is 070°.
The bearing of point Z from point Y is 145°.
The bearing of point Z from point X is 100°.
Find the bearing of point X from point Z.
Answers
Answer:
i cant understand sorry
Is -45.58 an integer
Answers
Answer: Yes
Step-by-step explanation: Because a integer is -45.58
−1−(−5x)−2x+2x 2 +7
Simplify this expression as much as possible
Answers
Answer:
Hello, the simplified expression would be:
7x + 6
An entrepreneur wants to rent
a billboard at least 30 feet tall to display an
advertisement for her business. She is 5 feet 6 inches
tall and casts a shadow 7 feet long. At the same
time, a billboard casts a shadow 35 feet long. Is the
billboard tall enough?
Answers
64 hundredths + 8 hundredths add decimals
Answers
Answer:
0.72
Step-by-step explanation:
64 hundredths= 0.64
8 hundredths= 0.08
0.64 + 0.08 = 0.72
Answer:
.72
Step-by-step explanation:
You just add 64 and 8 (equal to 72) and make sure it's in the hundredths (.00) Hope this is helpful.
a
A map has a scale of 1cm : 3 km
On the map, the distance between two towns is 7cm.
What is the actual distance between the two towns?
Include units for your answer.
A map has a scale of 1cm : 4 kilometres.
The actual distance between two cities is 52 kilometres.
What is the distance between the cities on the map?
Answers
Answer:
7/3=2.3
1. the distance between the towns is 2.3 km
52/4=13
2. the distance between the cities on the map is 13 cm
Step-by-step explanation:
What are the leading coefficient and degree of the polynomial?
v +9-45-124
Answers
Answer
5x
Step-by-step explanation:
Please help thank you
Answers
A car is traveling at a steady speed. It travels 1 3/4 miles in 2 1/3 minutes. How far will it travel in 25 minutes? In 1 hour?
Answers
Answer: They would travel 17.25 miles in 23 minutes and 45 miles in 1 hour.
Step-by-step explanation:
If you divide 1 3/4 by 2 1/3 you get. 0.75 which is how far the car will travel each minute and then you can just multiply that number by however many minutes there are.
Un comerciante de ganado compro cierto número de novillos, todos al mismo precio, por un total de 1 440 000 colones. De estos, vendió 20 a 22000 colones cada uno. Si desea obtener una ganancia de 200 000 colones debe vender cada uno de los restantes novillos en 2000 más que el precio en que los compro. ¿Cuántos novillos compro y cuanto le costó cada uno?
Answers
Queremos encontrar y resolver un sistema de ecuaciones para encontrar el número de novillos comprados y el valor de cada uno.
Encontramos que las soluciones son:
Precio = 12,820.5 colones.Número = 112La información que tenemos es:
El comerciante compro un dado número de novillos, digamos N.
El precio total fue de 1,440,000 colones.
Entonces si el precio de cada novillo es P, tenemos que:
N*P = 1,440,000
Sabemos que vendio 20 a 22,000 colones cada uno, es decir, obtuvo:
20*22,000 colones = 440,000 colones.
Es decir, de momento se tiene una perdida de:
1,440,000 - 440,000 = 1,000,000 colones.
Sí quiere obtener una ganancia de 200,000 colones, debe vender los (N - 20) novillos restantes a 2,000 colones más que P.
De esto planteamos la ecuación:
(N - 20)*(P + 2,000)= 1,000,000 colones + 200,000 colones = 1,200,000 colones.
Entonces tenemos el sistema de ecuaciones:
N*P = 1,440,000
(N - 20)*(P + 2,000) = 1,200,000
Para resolver esto comenzamos por aislar una de las variables en la primera ecuación, aislaremos N
N = (1,440,000)/P
Ahora reemplazamos esto en la otra ecuación:
(N - 20)*(P + 2,000) = 1,200,000
( (1,440,000)/P - 20)*(P + 2,000) = 1,200,000
Ahora debemos resolver esto para P.
1,440,000 - 20*P - 20*2,000 + 2,000*(1,440,000)/P = 1,200,000
- 20*P + 2,000*(1,440,000)/P = -180,000
Multiplicando ambos lados por P, obtenemos:
-20*P^2 + 2,880,000,000 = -180,000*P
Reescribimos esto como una ecuación cuadratica:
-20*P^2 + 2,880,000,000 + 180,000*P = 0
Y podemos resolver esto usando la formula de Bhaskara.
[tex]P = \frac{-180,000 \pm \sqrt{(180,000)^2 - 4*(-20)*(2,880,000,000)} }{2*-20} \\\\P = \frac{-180,000 \pm 512,640.22471 }{-40}[/tex]
Solo nos interesa la solución positiva, que es:
[tex]P = = \frac{-180,000 - 512,640.22471 }{-40} = 12,820.5[/tex]
Es decir, cada novillo le costó 12,820.5 colones.
y sabemos que:
N = 1,440,000/P = 1,440,000/12,820.5 = 112.3
Redondeamos al proximo numero entero, que es 112, donde ese 0.3 debe venir de algun error de redondeo (o más probablemente a un problema mal planteado).
Sí quieres aprender más puedes leer:
https://brainly.com/question/20868687
I need help in learning how to solve this equation using substitution:
-x -y -z = -8
-4x + 4y + 5z = 7
2x + 2z = 4
Answers
Answer:
x=3, z=-1, y=6
Step-by-step explanation:
you need to make the coefficients of each variable equal to each other then subtract 2 equations.
this one: multiply -4 in 1st
4x+4y+4z=32
-4x+4y+5z=7
_____________
8x+0-z=25
we have 2 equations with 2 variables now
2x+2z=4
8x-z=25
Johnathan bought 1 3/4 pounds of
American cheese at the deli. He
used 5/6 of the cheese to make
sandwiches. How many
sandwiches can he make? Show
your work
Answers
refer to the picture^^
-2/5x12 equivalent expressions
Answers
Answer:
-4.8
Step-by-step explanation:
so you * Good Times by 5 and each time you do by 12
I don't get it please help and show me how to do it
Answers
Answer:
Step-by-step explanation:
You plug in the given values and compute s:
s = ut + 1/2 at^2
s = 10*1/2 + 1/2*-2*(1/2)^2
= 5 + -1*1/4
= 4 3/4.
A carpenter has already shingled 10 garage roofs and is shingling roots at a constant rate of 9 per day
Write an eguation that models the number of garage roofs, 1, after t days,
an
ok
The equation that models the given situation is?
Answers
The equation that models the situation is f(t) = 10 + 9t.
The carpenter has already shingled 10 garage roofs . The initial amount he has already shingled is like a constant in the equation.
He shingles at a constant rate of 9 per day. This means each day the carpenter shingles 9 roofs.
let
f(t) = number of garage roofs the carpenter shingles
t = time in days.
If the carpenter shingles 9 roofs per day , he will shingle 9 × t roof for t days.
To model the equation where he had already shingled 10 roofs and his shingling rate, can be represented as follows:
f(t) = 10 + 9tread more: https://brainly.com/question/22965839?referrer=searchResults
4% of 50
Percent of a quantity
M
Answers
Answer:
4% of 50 is 2
Step-by-step explanation:
I NEED A 100% ACCURATE ANSWER FOR THIS QUESTION ASAP NO LINKS !!!
Answers
Answer:
w= 8/7
Step-by-step explanation:
1. divide the numbers
[tex]12w-1*10=6-2w[/tex]
2. multiply the numbers
[tex]12-10=6-2w[/tex]
3. rearrange terms
[tex]12-10=-2w+6[/tex]
4. add 10 to both sides of the equation
[tex]12w-10+1-=-2w+6+10[/tex]
5. simplify
[tex]12w=-2w+16[/tex]
6. add 2w to both sides of the equation
[tex]12w+2w=-2w+16+2w[/tex]
7. simplify
[tex]14w=16[/tex]
8.divide both sides of the equation by the same term
14w/14 = 16/14
9. simplify
w = 8/7
Answer:
[tex]w = 2[/tex]
Step-by-step explanation:
[tex] \frac{(12w - 20)}{2} = 6 - 2w[/tex]
[tex]6w + \frac{ - 20}{2} = 6 - 2w[/tex]
[tex]6w + \frac{( - 10.2)}{(1.2)} = 6 - 2w[/tex]
[tex]6w + 10 = 6 - 2w[/tex]
[tex]6w - 10 + 2w = 6 - 2w + 2w[/tex]
[tex]6w + 2w - 10 = 6 - 2w + 2w[/tex]
[tex]8w - 10 = 6 - 2w + 2w[/tex]
[tex]8w - 10 = - 2w + 2w + 6[/tex]
[tex]8w - 10 = 6[/tex]
[tex]8w - 10 + 10 = 6 + 10[/tex]
[tex]8w = 6 + 10[/tex]
[tex]8w = 16[/tex]
[tex] \frac{8w}{8} = \frac{16}{8} [/tex]
[tex]w = \frac{16}{8} [/tex]
[tex]w = \frac{2.8}{1.8} [/tex]
[tex]w = 2[/tex]
[tex]Thank \: you!!![/tex]
What ratio is equivalent to 9:6 ?
12:8
7:4
3:1
15:10
Answers
Answer:
15:10
Step-by-step explanation:
15:10 can be reduced into 3:2 by dividing with 5
and 9:6 can be reduced to 3:2 by dividing with 3
keep smiling.
Answer:
D
Step-by-step explanation:
just got in edg 2021