Which phrase best describes the graph of this equation? 3x+3y^2+6y+3=0
The screenshot has the answer!!
Answers
The parabola with vertex (-1, 0), focus (-1/4, -1) and directrix x = 1/4. Therefore, option C is the correct answer.
The given equation is 3x+3y²+6y+3=0.
What is the parabola?An equation of a curve that has a point on it that is equally spaced from a fixed point and a fixed line is referred to as a parabola. The parabola's fixed line and fixed point are together referred to as the directrix and focus, respectively.
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Left
Vertex: (0, -1)
Focus: (-1/4, -1)
Axis of symmetry: y=-1
Directrix: x = 1/4
The coordinate points to plot (2, 0.41), (-2, -2.41), (-1, 0), (-1, -2) and (0, -1).
The parabola with vertex (-1, 0), focus (-1/4, -1) and directrix x = 1/4. Therefore, option C is the correct answer.
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Related Questions
What would be the Area in square inches of a rectangle with a length of radial 279 in and a width of radial 31 in
(You do not have put the units in your answer)
Answers
The area of rectangle in square inches is 8649 inches .
What is mensuration ?The subject of mathematics known as mensuration is concerned with measuring geometric shapes and their various characteristics, such as length, volume, shape, surface area, lateral surface area, etc. In fundamental mathematics, learn about mensuration.
Mensuration is the name given to the area, volume, and length of various geometric shapes in mathematics. These shapes can be found in either two or three dimensions.
Mensuration is the process of calculating various shape parameters, such as the perimeter, area, and volume, whereas geometry is the study of the characteristics and relationships between the points and lines that make up different shapes.
Calculationthe area of rectangle will be = length * width
therefore just substituting the values given in the question
thus ,
area will be = 279 * 31
= 8649 square inches
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Tea that sells for $2.00 a pound is mixed with a different tea that sells for
$5.00 a pound to produce 40 pounds of a custom blended tea that will
sell for $4.25 a pound. How many pounds of the less expensive tea
should be used in the mixture?
(1) 10
(2) 15
(3) 25
(4) 30
Pls show work
Answers
The pounds of the less expensive tea used in the mixture is 10 pounds.
The correct option is Option(1) 10.
Given:
Price of less expensive tea = $2.00
Price of expensive tea = $5.00
Price of custom-blended tea = $4.25
The total price of 40 pounds of custom blended tea = 40 × $4.25
= $170
Let the pounds of the less expensive tea used in the mixture be x pounds.
So, the pounds of expensive tea = 40-x
Now, the equation is
2x + 5(40 - x) = 170
2x + 200 - 5x = 170
3x = 30
x = 10 pounds
Therefore, there are 10 pounds of less expensive tea.
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PLease help me with this!!
Answers
The linear equation is:
y = -6*x + 59
The slope is -6, and means that each hour the distance decreases by 6 miles.
The y-intercept is 59, and it is the initial distance to the waterfall.
How to get the linear equation?A general linear equation in the slope-intercept form is:
y = a*x + b
Where a is the slope (also called the rate of change) and b is the y-intercept.
We know that if the line passes through two points (x₁, y₁) and (x₂, y₂) then the slope is:
a = (y₂ - y₁)/(x₂ - x₁).
Here we can define the variables:
y = distance
x = hours.
Then we have two points (8, 11) and (9, 5).
So the slope is:
a = (5 - 11)/(9 - 8) = -6
This means that the distance to the waterfall decreases by 6 miles each hour.
Then the linear equation is like:
y = -6*x + b
To find the value of b we can use any of the given points, I will use (9, 5), this means that:
5 = -6*9 + b
5 = -54 + b
54 + 5 = b
59 = b
This is the y-intercept, and gives the initial distance to the waterfall.
The equation is:
y = -6*x + 59
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60 - 18 / 2 + 4 + 10 / 2 = 12
Answers
Answer:60 =12
Step-by-step explanation:
The perimeter of a kite can be found using the formula P = 2S + 2L. Which
equation expresses S in terms of P and L?
Answers
Answer:
S = ( P - 2L) / 2
Step-by-step explanation:
P = 2S + 2L
P - 2L = 2S
(P - 2L) / 2 = S
Hope this helps :D
4
Royce deposits $1200 into a savings account. After nine year, he made $3472.32.
What is the annual simple interest rate of the loan?
Answers
The interest rate needed to make $3,472.32 from simple interest on a principal of $1,200.00 over 9 years is 21.04% per year.
How to determine simple interest rate?Simple interest is expressed mathematically as;
A = P( 1 + rt )
Where A is accrued amount, P is principal, r is rate and t is the time period.
Given the data in the question;
Principal P = $1200 Accrued amount A = $3472.3Time period t = 9 yearsInterest rate r = ?Plug the given values into the simple interest formula and solve for r
A = P( 1 + rt )
r = (1/t)(A/P - 1)
r = ( 1/9 )( $3472.3/$1200 - 1)
r = ( 1/9 )( 2.8936 - 1)
r = ( 1/9 )( 1.8936)
r = 0.2104
Convert to percentage
r = 0.2104 × 100%
Rate r = 21.04%
Therefore, the interest rate of the loan is 21.04%.
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please simplify this:(5x^4)^3
Answers
[tex](5x^{4} )^{3} \\=5x^{4*3} \\=5x^{12}[/tex]
I used the law of exponents as indicated below:
[tex](x^{n} )^{m} \\=x^{n*m} \\=x^{nm}[/tex]
Help! What is f(4) for the function F(x) =5x+7?
f(4)=
Answers
Answer:
27
Step-by-step explanation:
f(x) = 5x + 7
f(4) = 5(4) + 7
= 20 + 7
f(4) = 27
Which of the following macromolecule provides quick energy to cells?
O lipid
O protein
O carbohydrate
O nucleic acid
Answers
Answer:
c
Step-by-step explanation:
I definitely didn't searched it
8 grade, help please!!!
Answers
Answer:
Yes the triangles are congruent.
Step-by-step explanation:
You are going to move all the points 2 units to the left and 4 units up.
Look at the vertices of the triangle. The points are (0,1) and (-5,0) and (2,-5). If we moved all three of these points to places to the left and 4 up, they would be at (-2,4), (-7,4) and (0,-1) This would make a image that is a congruent triangle. You have just translated the original triangle 2 places to the left and 4 places up.
Find k such that f(x) = x^4+ kx³ + 2 has the factor x + 1.
Answers
K = 1 is the value when x = - 1 is Factor of equation .
Why do we use the term factors?
A factor is a number that completely divides another number. In other words, if multiplying two whole numbers results in a product, the numbers we are multiplying are factors of the product since the product is divisible by them. Factors can be found using either division or multiplication.As an illustration, 3 and 6 are factors of 12 because 12 3 = 4 and 12 6 = 2, respectively. 1, 2, 4, and 12 are the other components that make up 12.f(x) = x^4+ kx³ + 2
x + 1 = 0
x = -1 put in equation
(-1)⁴ + k( -1)³ + 2 = 0
1 - k + 2 =0
k = 1
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8. For the following function, state the range.
Answers
Answer: [tex]y \geq 1[/tex]
Step-by-step explanation:
The range of a function is the set of y-values.
A dice is rolled 2 times. What is the probability of showing a 4 on every roll?
Answers
Since we are rolling a die twice
The possible out come of rolling a die is
[tex]\mleft\lbrace1,2,3,4,5,6\mright\rbrace[/tex]Therefore, the probability of getting a 4 on every roll is
[tex]P(\text{getting a 4 on every roll) }=P(1st\text{ 4) and P(2nd 4)}[/tex]From the sample outcome above
P(of 4) = 1/6
Therefore
[tex]\begin{gathered} P(\text{getting a 4 on every roll)}=\frac{1}{6}\times\frac{1}{6} \\ P(\text{getting a 4 on every roll)}=\frac{1}{36} \\ P(\text{getting a 4 on every roll)}=0.0278 \end{gathered}[/tex]Therefore, thr porbability is 0.0278
Find the midpoint between (31, 7) and (–17, 19).
(7, 13)
(14, 26)
(19, 1)
(24, –6)
Answers
Answer:
It's (7, 13) not sure how to explain that
(-2)^-3 how would i do this
Answers
Answer:
[tex]\frac{-1}{8}[/tex]
Step-by-step explanation:
To make the -3 positive, you put the power under 1.
[tex]\frac{1}{(-2)^{3} }[/tex] This means [tex]\frac{1}{-2}[/tex] x [tex]\frac{1}{-2}[/tex] x [tex]\frac{1}{-2}[/tex] = [tex]\frac{1}{-8}[/tex] Which means the same as[tex]\frac{-1}{8}[/tex]
Mikki used 18 tea bags to make 4 quarts of
iced tea. How many tea bags did Mikki use for
each quart of iced tea?
Answers
Answer:
[tex] \frac{18}{4} [/tex]
Step-by-step
4.5
I need help with this please someone help its due today
Answers
Answer:8
Step-by-step explanation:
2+6=8
Answer:
8 ghdhlhskgslhdlhskgz
Expand and simplify (x -6)(x + 2)
Answers
Answer: X^2 - 4x -12
1. Distribute :
(x−6)(x+2)
x(x+2)-6(x+2)
2. Distribute:
x(x+20-6(x+2)
X^2 +2x-6(x+2)
3. Distribute:
X^2+2x-6(x+2)
X^2+2x-6x-12
4. Combine like terms:
x^2+2x-6x-12
solution:X^2-4x-12
Find the value of each variable and the measure of each labeled angle
Answers
The 'x' and 'y' variables and the 4 angles are highlighted in the boxes
Need help on this question ASAP On a sunny day, a 3-foot red kangaroo casts a
shadow that is 5 feet long. The shadow of a nearby
eucalyptus tree is 7 feet long. Find the height of the
tree.
Answers
Answer:
i think it is 5 feet
Step-by-step explanation:
i hope this helps
Your six year and three month investment of $40,000 at 14% compound interest is worth how much now?
Answers
Answer:
price ×time×rate/100 40000×6×14/100
33600
Using the Pythagorean Theorem find the missing length and then round the result to the nearest tenth.
a = 7, b = 4, c =
Answers
Answer:11
Step-by-step explanation: because 7+4=11
Please help me get a 100%!
Answers
Answer: D) there are no solutions.
Step-by-step explanation:
Consider the following word problem: Twenty more than four times a number is equal to the difference between 2 and twice the number. Find the number.
Answers
Given:
The objective is to find the number.
Explanation:
Consider the unknown number as x,
First, four times the number can be written as 4x.
Twenty more than 4 time the number will be,
[tex]4x+20\ldots\ldots.\text{ (1)}[/tex]Then, twice the number can be represented as 2x.
And the difference between 2 and twice the number will be,
[tex]2-2x\ldots\ldots..(2)[/tex]Now, equate both the equations (1) and (2).
[tex]\begin{gathered} 4x+20=2-2x \\ 4x+2x=2-20 \\ 6x=-18 \\ x=\frac{-18}{6} \\ x=-3 \end{gathered}[/tex]Hence, the unknown number is -3.
Error Analysis A classmate finds the area of a circle with radius 30 in. to be s 900 in.2. What error did your classmate make? Your answer
Answers
radius = 30 in
Area = 900 in^2
To calculate the area of a circle, use the equation A = pi r^2
His mistake was that he did not multiplicate by pi (3.1416)
The actual area = (3.1416)(30)^2
A = 2827.44 in^2
Use the product rule to find the derivative of the following. (Hint: Write the quantity as a product.)k(t) = (t² − 2) ²k' (t) =
Answers
Shape T is reflected in the line x = -1 to give shape R.
Shape R is reflected in the line y = -2 to give shape S.
Describe the single transformation that will map shape T to shape S.
Answers
Imagine putting a mirror on the page and adding a reflection. You must identify the line in which the shape is mirrored when describing a reflection. The sum of the transformations can be referred to as a single transformation.
How would you describe a single transformation reflection?Imagine putting a mirror on the page and adding a reflection. You must identify the line in which the shape is mirrored when describing a reflection. Every point of a shape will be separated from the line of reflection by the same amount as the reflected point is separated from the line.
There are occasions when a shape is altered in more than one step, such as when a rotation is followed by a reflection. Typically, the sum of the transformations can be referred to as a single transformation.
Enlargements are a particular kind of transformation where the original shape's size is altered by multiplying it by a scale factor to make it bigger or smaller. To employ a center of enlargement, lines must be drawn from the center via the original shape's vertices. They are known as ray lines.
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I NEED ANSWER REALLY FAST IN GEOMETRY 40 POINTS
The diagram shows a certain construction technique. If
mABF = x + 10x - 1, mCBF = 12x + 7,
what is mLCBF?
Answers
If f bisects angle ABC, then mABF and mCBF should be equal to one another. This means we can set up an equation:
x + 10x -1 = 12x +7
Now evaluate for x, and we get
x = -2, x = 4. Plugging in each value to the original equation, we find it cannot be -2 since angles are positive values. This leaves x = 4.
mCBF = 12(4) + 7 = 55.
Here is a photo of my work, it is hard to type it out on my phone:
1. Kai teaches music lessons as an independent contractor. Last month, he taught 41
music lessons at $65 each. Determine the amount of Kai's self-employment taxes for
last month, using the tax rate of 15.3%.
Answers
The amount for Kai's self employment taxes for the last month is $407.745 .
In the question ,
it is given that
number of music lessons that Kai taught = 41
per music lesson charge = $65 .
the tax rate for self employment = 15.3%
So, the total amount earned is = (number of classes)*(per class charge)
= 41*65 = $2665
According to the question .
Kai's self employment tax = 15.3% of total amount earned
On substituting the values , we get
Kai's self employment tax = 15.3% of 2665
= 0.153*2665
= 407.745
Therefore , The amount for Kai's self employment taxes for the last month is $407.745 .
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If you received $175.84 on $314 invested at a rate of 7%, for how long did you invest the principal?
Answers
The principal amount was invested for 8 Years.
In the given question, it is stated that when $314 was invested as the Principal amount, it got an Interest of $175.84 at an interest rate of 7%. We have to find out the total period of time the principal amount was kept and got interested in in order to complete the interest amount of $175.84.
To calculate the Interest, we know that the formula for Simple Interest is:
=> S.I. = (P*R*T)/100, where P = Principal amount, R = Rate of Interest, and T is the Time period. Now, putting values in the formula we get:
=> S.I. = (P*R*T)/100
=> 175.84 = (314*7*T)/100
=> T = 17584/2198
=> T = 8
Hence, we get Invested Time for 8 years.
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