Answer: y= -4x^2
Step-by-step explanation:
The equation of the parabolic function is y = -4x² and the graph is plotted
What is a Parabola?A Parabola, open curve, a conic section produced by the intersection of a right circular cone and a plane parallel to an element of the cone. A parabola is a plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line
The equation of the parabola is given by
( x - h )² = 4p ( y - k )
y = a ( x - h )² + k
where ( h , k ) is the vertex and ( h , k + p ) is the focus
y is the directrix and y = k – p
The equation of the parabola is also given by the equation
y = ax² + bx + c
where a , b , and c are the three coefficients and the parabola is uniquely identified
Given data ,
Let the parabolic equation be represented as f ( x )
Now , the value of f ( x ) = y
where y = -4x²
The equation y = -4x² represents a parabola that opens downwards (since the coefficient of x² is negative).
The vertex of this parabola is at the origin (0,0), since the coefficient of x is zero. The axis of symmetry is the y-axis, since the parabola is symmetric about this line.
Hence , the equation is y = -4x²
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-6x-2y=42
x-y=-15
Multiply x-y=-15 by 6 ( eliminate the x first)
6(x-y)=6(-15)
(6)(x)=6x
(6)(-y)=-6y
6(-15)=-90
-6x-2y=42
6x-6y=-90
eliminate x the systems of equations by subtracting
-6x+6x-2y+-6y=42-90
-2y-6y=42-90
-8y=-48
divide both sides by -8 to get y by itself
-8y/-8=-48/8
y=6
Find x by substitution method
use y=6 into one of the system of equations
x-y=-15
x-6=-15
move -6 to the other side
sign changes from -6 to +6
x-6+6=-15+6
x=-15+6
x=-9
answer:
(-9,6)
For any rectangle ABCD, determine whether each statement is always, sometimes, or never true. ∠a≅∠b
Answer:
always
Step-by-step explanation:
no matter what the angles of a rectangle will be 90 degrees so the answer is always
Answer:
Step-by-step explanation:
Consecutive angles are equal only when dealing with a square or a rectangle. All other 4 sided figures do not have this property.
So the answer is sometimes.
ILL MARK U BRAINLIEST HELP
Answer:
6x-y
Step-by-step explanation:
Add the two expressions
Answer:
6x + -y
Lets simplify this step by step:
2x + 7y + 4x −8y
2x + 7y + 4x + −8y
Then we combine like terms
=2x + 7y + 4x + −8y
=(2x + 4x) + (7y + −8y)
= 6x + −y
3x+1 = 27
answer choices: a) -1/3
b) -6
C) -2/3
d) -3/2
solve for all the values of the interior angles
Answer:
x = 6
Step-by-step explanation:
measure of angle E: 5(6) + 8 = 38
measure of angle D: 6(6) + 8 = 44
measure of angle C: 180 - 82 = 98
check answers by adding all 3 angle measures to make sure they equal 180 degrees
16(x+3)=4(x+9)
solve for x
⭐ Respuesta :
Ecuación : 16 (x + 3) = 4 (x + 9)⭐ Resolvemos :
[tex]16(x+3)=4(x+9)\\16x+48=4x+36\\16x-4x=36-48\\12x=-12\\x=-12/12\\\\\boxed{x=-1}[/tex]
⭐ Explicación paso a paso :
16 (x + 3) = 4 (x + 9)
Multiplicamos los paréntesis "16(x+3)" y "4(x+9)"16x + 48 = 4x + 36
Términos semejantes ...16x - 4x = 36 - 48
Restamos respectivamente ...12x = -12
El número 12 multiplicando a "x" pasa a dividir...x = -12 ÷ 12
Dividimos y ya tenemos el resultado!! ^-^ x = -1❤ Ver mas ejemplos : brainly.lat/tarea/29507142 ❤
SOMEBODY PLEASE HELP ASAP!!! WILL GIVE BRAINLIEST
In parallelogram KLMN, KN = 10, MN = 7 and mK = 50°
Find the measures of the remaining angles of parallelogram KLMN. Justify each of the measures with a theorem.
Find the measures of the remaining side lengths of parallelogram KLMN. Justify each of the measures with a theorem.
Answer:
a- 130, 130, and 50
b- 7 and 10
Answer:
a- 130, 130, and 50
b- 7 and 10
Step-by-step explanation:
Suppose a cylinder has a diameter of 18 feet and a height of h feet. Which equation can be used to find V, the volume of the cylinder in cubic feet?
Answer:
Volume of a cylinder, V = πr^2h
but r= d/2
therefore, Vol = π(d/2)^2h
from the parameters given,
Vol = π(18/2)^2h
=81πh
The graph shows a line and two similar triangles. On a coordinate plane, a line goes through (0, 3) and (6, 11). A small triangle has a rise of 4 and run of 3. What is the equation of the line? y = 3 x + 3 y = three-fourths x + 3 y = four-thirds x + 3 y = 4 x + 3
Answer:
i think that the answer is the first equation
Step-by-step explanation:
The equation of the line passing through the points (0, 3) and (6, 11) is:
y = (4/3)x + 3.
Option C is the correct answer.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
To find the equation of the line passing through the points (0, 3) and (6, 11).
We can use the slope-intercept form of a linear equation,
which is y = mx + b, where m is the slope of the line and b is the y-intercept.
First, we can find the slope of the line by using the formula:
[tex]m = (y_2 - y_1) / (x_2 - x_1)[/tex]
where
[tex](x_1, y_1) = (0, 3)\\(x_2, y_2) = (6, 11).[/tex]
So,
m = (11 - 3) / (6 - 0) = 8/6 = 4/3
The slope of the line is 4/3.
Next,
We can use the point-slope form of a linear equation to write the equation of the line in terms of one of the points and the slope:
[tex]y - y_1 = m(x - x_1)[/tex]
Choosing the point (0, 3), we get:
y - 3 = (4/3)(x - 0)
Simplifying and solving for y, we get:
y = (4/3)x + 3
Therefore,
The equation of the line passing through the points (0, 3) and (6, 11) is:
y = (4/3)x + 3.
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anyone please help!!!
Answer:
11
Step-by-step explanation:
Answer:22(a)
Step-by-step explanation:22 is a factor of 66
all my points! PLZ help me on this and explain ur answer plzz
microzooplankton is _____ compared to macrozooplankton
a) smaller
b) bigger
c) faster
d) brighter in color
btw yes i put it on math because i feel like more people do math more
a ) smaller is correct answer
an equivalent ratio for 5:10
Answer:
Here u go! :)
Step-by-step explanation:
10:20, 15:25, 20:30 etc..
Hope this helps you! xx
Answer:
10:20, 15:30, 20:40, 25:50
Step-by-step explanation:
Describe the end behavior of the polynomial function.
lus
If f(x) = 3x + 7, find:
f(3) = [?]
Answer:
The answer is 16
Step-by-step explanation:
You substitute 3 in for x.
Consider these functions:
f(x)=3x - 7
g(t)=1+1
What is the value of f(g(3))?
A.-1
B.0
C.3
D. 5
Answer:
A(-1)
Step-by-step explanation:
First, we will replace any x in g(x) with 3
g(x)=(3+1)/(3-1)=4/2=2
Thwn replace any x in f(x) with 2
f(x)=3(2)-7=6-7=-1 ⇒A
hope this helps
will give brainiest pls help
Answer: b
Step-by-step explanation:
B
Answer:
The American Revolutionary War (1775–1783), also known as the American War of ... Britain remained under siege in Gibraltar but scored a major victory over the French navy. ... in America, and the colonial legislatures argued that they had exclusive right .... Howe then seized control of New York City on September 15
Step-by-step explanation:
You buy two packages of almonds and mix them together into one bowl one package is 8.24 kg and the other is 6.62 kg. How much is in the bowl
Answer:
8.24+6.62=14.86
Please help, I am bad at math and I don't know how to answer this question please help
How is solving equations with fractions similar to solving equations with whole numbers?
(Written Response)
(Sorry if this is easy, if you have already done this on edg, I don't mind if it is the sample response)
Answer:
You have to make the fraction into a whole number.
Step-by-step explanation:
Hope this helps. :)
what do i say for this
please help :((((
Answer:
Step-by-step explanation:
Error 1) It should be divided by 5.
x - 5 = 0
x = 5
Error 2) -3 15 0 -1 5
coefficient of x² is 0 and it is not included
please solve due soon
Answer:
5
Step-by-step explanation:
5+5(0)
Johnny's Towing Company charges a one-time towing fee of $50, plus $20 per day
that they keep each car.
If Johnny changes his one-time towing fee to $75, describe how the graph of his
function would change.
Find the surface area of the 3D solid. Round to one decimal place.
Answer:
172.5
Step-by-step explanation:
The formula for the surface area of a right circular cone (the following shape) is πr( r + √h^2 + r^2). Since the radius (r) is already given (3) and the height (h) is already given (15), you just replace each r with 3 and h with 15. After solving this out, you should get 172.45, which rounds to 172.5 to the first decimal place
can anyone help me ?
Answer: m∠T = 48°
ΔMAT has MA = MT
=> ΔMAT is a isosceles triangle at M
=> ∠A = ∠T = (180° - ∠M)/2
=> x + 20 = (180 - 3x)/2
⇔ 2x + 40 = 180 - 3x
⇔ 5x = 140
⇔ x = 140/5
⇔ x = 28
=> ∠A = ∠T = 28 + 20 = 48°
Step-by-step explanation:
What is the point-slope form of an equation passing through (0, -5) with a 5 points
slope of 2? *
Answer:
y=2x-5
Step-by-step explanation:
[tex]y-y_{1}=m(x-x_{1})[/tex]
[tex]x_{1}=0, y_{1}=-5\\[/tex], and m=2
[tex]y-(-5)=2(x-0)[/tex], -(-5)-Two negatives make it positive, and you distribute the 2
[tex]y+5=2x[/tex], you now subtract 5 to get y by itself to get your answer of
[tex]y=2x-5[/tex]
*NOTE* (0,-5) is the y-intercept, so you could have used the linear equation of y=mx+b, m=2, and b(y-intercept)=-5
giving you y=2x-5
Solve the equation 2 + 4.7 = -9.3.
Answer: positive then greater than
Step-by-step explanation:
(11x + 8) + (8x + 12) =27
Answer:
11x + 8 +8x +12 =27 (drop the parenthesis, there's no actual need for them)
19x +20 =27 (i combined like terms and then subtracted 20 from both sides)
19x = 7 (divide both sides by 19 to get x alone)
x= 7/19 or 0.36842105 (the answer)
Step-by-step explanation:
Y+4=2(x+3) In slope-intercept form
Also can I please have Brainliest?
Only if I'm correct of course.
Your welcome, Loves!
Jeremey performs the same operations on four values of x. He records each resulting y-value in a table, as shown below. Which equation shows the operations Jermey performs on x to get to y
Answer:
Y=4x-3
Explanation: If we look 2 = 5 We can do 4(2)= 8 -3 = 5 So that the answer and 4(4)= 16-3 = 13 so these are the Y so this is the answer!
calculate the value of the expression (-8)·(-1/3)
Answer:
8/3
Step-by-step explanation:
If we multiply it the subtraction will cut off and 8 will mulitply to 8/3.