A parabola has a vertex at (0,0). The equation for the directrix of the parabola is x = –4. In which direction does the parabola open? up down right left.
Answers
The parabola with vertex at (0,0) and directrix at x=-4, will open towards the right.
What is a directrix?A parabola is a collection of points on a plane that are all at the same distance from a particular point and line. The point is called the focus of the parabola while the line is called the directrix. The directrix is perpendicular to a parabola's axis of symmetry and does not contact it.
As we know that the directrix is perpendicular to the axis of the parabola, now since the directrix is at x=-4, the parabola will be horizontal and will be opening either towards the left or the right.
As it is given that the vertex of the parabola is at (0,0) and we know that the parabola can not touch the directrix, therefore, the parabola's vertex will be at (0,0) and will open towards the right side. As shown below.
Hence, the parabola with vertex at (0,0) and directrix at x=-4, will open towards the right.
Learn more about Directrix:
https://brainly.com/question/2629634
Answer:
right
Step-by-step explanation:
Related Questions
I need help with this math please, thanks in advance. Much appreciated. 50 points available! The most helpful answer will receive brainliest!
1. Sofie decides to develop a survey.
(a) Give an example of a question she could ask on her survey.
(b) How could Sofie select a simple random sample of students to take her survey?
(c) She gives out 80 surveys but receives only 32 completed surveys. What are the sample and population for Sofie’s research?
(d) Of the 32 students who completed surveys, 16 said they use social media while doing schoolwork. If Sofie uses only the completed surveys, what conclusion could she make about the percent of all high school students who use social media while doing schoolwork?
2.Tony decides to use observation. He visits 10 students and observes them doing schoolwork at home for 30 min. If a student looks at social media during that time, he notes it.
(a) Provide an advantage of using observation.
(b) Provide a disadvantage of using observation.
(c) What are the sample and population for Tony’s research?
(d) Suppose 3 of the 10 students looked at social media during the observation. What conclusion could Tony make about the percent of high school students who use social media while doing schoolwork?
Much thanks and appreciation!
Answers
Answer:
1. A. how much of the students time is spent on social media during school hours.
B. By using some kind of selection technique Like Having students draw number from a hat, who ever have the specific numbers will take her survey.
C. The population for Sofies research would be a rate of 5/2. For every 5 people who take the survey only 2 turned it in.
D. She would conclude that 1 out of every 2 or 50 percent of students use social media while doing school work.
2. a) It helps to get accurate data or records of the information he wants to process and also is a direct way of carrying out analysis.
b) The students definitely might get distracted in the process of his observation and there fore render the data collection not as accurate as it will be for analysis.
c) The sample are the 10 students
The population are high school students
d) Tony 's conclusion will be 3 out of 10 looked at social media
thus 3/10 * 100 = 30 %
Step-by-step explanation:
What is the simplified expression of (4-5r+8s)(5r-9)
Answers
Answer:
The simplified expression of (4-5r+8s)(5r-9) is
40r s-25r^2-72s+65r-36
(hope this helped)
The simplified expression of (4-5r+8s)(5r-9) is [tex]65r - 25r^2 + 9r + 40rs - 72s.[/tex]
The simplified expression of (4-5r+8s)(5r-9) step by step.
Understanding how to simplify expressions can be incredibly useful in algebra and will make solving equations much easier. By using the distributive property, we can multiply the terms inside the parentheses and then combine like terms to get the simplified expression.
To simplify the expression (4-5r+8s)(5r-9), we'll use the distributive property, also known as the FOIL method (First, Outer, Inner, Last). This property allows us to multiply each term in the first parentheses by each term in the second parentheses.
1. First, we multiply the term "4" in the first parentheses by each term in the second parentheses:
4 * 5r = 20r
4 * (-9) = -36
2. Next, we move to the second term in the first parentheses, "-5r," and multiply it by each term in the second parentheses:
-5r * 5r = -25r²
-5r * (-9) = 45r
3. Lastly, we move to the third term in the first parentheses, "8s," and multiply it by each term in the second parentheses:
8s * 5r = 40rs
8s * (-9) = -72s
Now, we have all the resulting terms:
20r - 36 - 25r² + 45r + 40rs - 72s.
To simplify further, we combine like terms. Like terms have the same variable(s) raised to the same power:
20r + 45r = 65r
-36 + 45r = 9r
So, the simplified expression is:
65r - 25r² + 9r + 40rs - 72s.
In mathematical terms, we applied the distributive property to multiply each term in the first parentheses by each term in the second parentheses. Then, we combined like terms to obtain the final simplified expression, 65r - 25r² + 9r + 40rs - 72s.
To know more about Algebra here
https://brainly.com/question/29074939
#SPJ2
Chin-Mae has a fishtank that measures 75 cm by 45 cm by 35 cm. He also has a jug that holds 1.75 litres. He uses the jug to fill the fishtank with water. How many full jugs of water does it take to fill the fishtank? Show how to check your answer.
Answers
To find the volume of a rectangular prism, we can use the following formula:
[tex]V=lwh[/tex]
l = lengthw = widthh = heightConverting between mL and L1000 mL = 1 L
Solving the QuestionWe're given:
Fish tank measurements: 75 cm by 45 cm by 35 cmJug capacity = 1.75 LTo solve this question, we could follow these steps:
Find the volume of the tankDivide the volume of the tank by the jug capacityFind the volume of the tank
[tex]V=lwh[/tex]
⇒ Plug in the measurements: 75 cm by 45 cm by 35 cm
[tex]V=75*45*35\\V=118125[/tex]
Divide the volume of the tank by the capacity of the jug
There is a relationship between cm³ and mL, not cm³ and L. Convert the 1.75 L for the jug capacity to mL:
1.75 × 1000
= 1750
118125 ÷ 1750
= 67.5
AnswerIt takes 68 full jugs of water to fill the tank.
Jay is measuring the angles of a triangle. He gets 30 degrees and 100 degrees, what is the measured third angle?
Answers
Answer:
50°
Step-by-step explanation:
the sum of the 3 angles in a triangle = 180° , that is
3rd + 30° + 100° = 180°
3rd + 130° = 180° ( subtract 130° from both sides )
3rd angle = 50°
Answer:
50 degrees
Step-by-step explanation:
In any triangle, there are 180 degrees. If we add 100 degrees plus 30 degrees to get 130, simply subtract that from 180 the get the measure of the third angle. (180-130= 50) Hope this helps!
(07.02) Choose the polynomial that is written in standard form. (4x3 - 2x - 9) + (2x2 + 5x + 3). (1 point) Оа 6X - 3x - 6 Ob 2x - 7X – 12 oc 6x2 + 3x - 6 . 2x3 = 3x - 3
Answers
The standard form of a polynomial is: ax^n+ bx^n-1 + cx^n-2 + ......... + d
The standard form of the polynomial is 4x^3 + 2x^2 + 3x - 6
How to determine the polynomial in standard form?The polynomial is given as:
(4x^3 - 2x - 9) + (2x^2 + 5x + 3)
Remove the bracket
4x^3 - 2x - 9 + 2x^2 + 5x + 3
Collect like terms
4x^3 + 2x^2 - 2x + 5x - 9 + 3
Evaluate the like terms
4x^3 + 2x^2 + 3x - 6
Hence, the standard form of the polynomial is 4x^3 + 2x^2 + 3x - 6
Read more about polynomials at:
https://brainly.com/question/4142886
Mariah is randomly choosing three books to read from the following: 5 mysteries, 7 biographies, and 8 science fiction novels. what is the complement of mariah choosing three mysteries?
Answers
The probability is the ratio of the favorable event to the total number of events. Then the probability of choosing three mysteries books is 0.877%.
What is probability?Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen.
Mariah is randomly choosing three books to read from the following: 5 mysteries, 7 biographies, and 8 science fiction novels.
The total number of books will be
Total books = 5 + 7 + 8
Total books = 20
The total number of the event will be
[tex]\rm Total \ event = \ ^{20}C_3 \\\\\\Total \ event = \dfrac{20!}{(20-3)!3!}\\\\\\Total \ event = 1140[/tex]
The favorable event will be
[tex]\rm Favorable \ event = \ ^{5}C_3 \\\\\\Favorable \ event = \dfrac{5!}{(5-3)!3!}\\\\\\Favorable \ event = 10[/tex]
The probability of choosing three mysteries books will be
[tex]\rm P = \dfrac{10}{1140}\\\\\\P = 0.00877 \ or \ 0.877\%[/tex]
More about the probability link is given below.
https://brainly.com/question/795909
Answer:
D
Step-by-step explanation:
Mariah is randomly choosing three books to read from the following: 5 mysteries, 7 biographies, and 8 science fiction novels. What is the complement of Mariah choosing three mysteries?
not choosing a mystery
choosing at least one mystery
choosing three mysteries
not choosing all mysteries
D is the right answer
Fine the area of the circle. Round to the nearest tenth. Use 3.14 for pie.
Answers
Answer:
the answer is 379.9m²
Step-by-step explanation:
half of 22 is ll time 3.14 equals 379.94. to the nearest tenth is 379.9
Simplify the expression:
3y + x - 2x + y + x + x
+
a. *° -2x + 4y4
X3
b. x + 3y4
C. 5x + y + 3y
d. x + y + 3y
+
Answers
3y is the only of its kind so that stays the same, along with the y to the third. Then you add all the x’s together, which is 3x, and then subtract the other 2x.
Shane went bowling with his friends. The bowling alley charges $20 for an hour of group bowling plus a fee to rent each pair of shoes. Shane's group bowled for one hour, rented 4 pairs of shoes, and paid a total of $31. Which equation can you use to find the fee, x, to rent each pair of shoes?
Answers
Answer:
4x+20=31
Step-by-step explanation:
So one hour of bowling is 20 dollars and they bowled for one hour hence the 1x20 which is equal to 20. That is the base coast we add to the variable of x that is the cost of renting one pair of shoes. And since they rented 4 pairs of shoes you multiply x by 4 to get 4x. Add the 20 dollars they paid to bowl and it is 4x+20. They paid 31 dollars in total so equal the equation to 31. 4x+20=31. Solution is $2.75 per pair of shoes. (If you want an explanation as to how to get the answer, just ask
Yosef found this relationship between the quantities in the table.
x
1
2
3
4
5
y
80
160
240
320
400
Multiply x by 8 to get y.
Which error did Yosef make?
Yosef should have added 80 to the x-values to get the y-values.
Yosef should have added 8 to the x-values to get the y-values.
Yosef should have multiplied the x-values by 40 to get the y-values.
Yosef should have multiplied the x-values by 80 to get the y-values.
Answers
Yosef should have multiplied the x-values by 80 to get the y-values.
Functions and tablesTables are told used to arrange ungrouped data.
From the given table, we can find the equation by using the coordinate points (1, 80) and (1, 160)
Find the equation of the lineThe standard equation of a line is y = mx + b
m is the slope
b is the y-intercept
Slop = 160-80/2-1
Slope = 80
For the y-intercept
160 = 80(2) + b
b = 0
The required equation is y = 80x
This means that Yosef should have multiplied the x-values by 80 to get the y-values.
Learn more on equation of a line here: https://brainly.com/question/13763238
Answer:
A
Step-by-step explanation:
Shana spends $18 on some almonds. She pays for the almonds with two $10 bills. How much change does Shana get back? Enter your answer in the box. $
Answers
Answer:
$2
Step-by-step explanation:
2($10)=$20
$20-$18=$2
You are given two offers for a monthly wage. Option A is to be paid one cent on the first day of the month, with your wages doubling each day (2 cents on day 2, 4 cents on day 3, 8 cents on day 4, etc.) for the rest of this 30 day month. Option B is to be paid $1 on the first day of the month, with your wages increasing $100 each day ($101 on day 2, $201 on day 3, $301 on day 4, etc.). Which option will give you more money by the end of the month? Make sure to support your answer. Also remember to find the equations for the exponential function and the linear function. Substitute 30 in for x and simplify.
Answers
Answer:
Step-by-step explanation:
Option B
Because if you start with one dollar and by day 3 you get 301 dollars and option A only gives you 8 cents on day 3 you get more money by the end of the month if you choose option B.
Answer: A is the correct answer
Step-by-step explanation:
Its a because the amount keeps doubling so you will start with =
.1 then go too .2 (which is double .1)
then after .2 you will get .4( which is double .2 i will show you the graph.
.1, .2, .4, .8, 1.6, 3.2, 6.4 etc. Then when you get to day 30 you will have
53.687 million dollars, buy the end of them month, you'd be a millionaire.
Solve for all values of x by factoring.
x2 – 2x – 28 = -6x + 4
X
=
There are two answers
Answers
Answer:
{4,-8}
Step-by-step explanation:
x^2 -2x -28 = -6x +4
x^2+4x-32=0
(x-4)(x+8) =0
x=4 or -8
what is the measure of angle F????
Answers
Answer:
Angel F would equal about 50 degrees.
I used my protractor to measure the angle. My answer may be incorrect since I measuring it through a computer screen. (please read more before submitting your answer)
Another strategy:
(this one should be more accurate)
The sum of exterior angles in a polygon is always equal to 360 degrees. Therefore, for all equiangular polygons, the measure of one exterior angle is equal to 360 divided by the number of sides in the polygon.
The angles are given all equal 312 degrees
75 + 91 + 146 = 312 degrees
This means angel F equals:
360 degrees - 312 degrees = F degrees
F = 48 degrees
In conclusion, 48 and 50 are reasonable answers but the strategy used to find the answer 48 degrees makes more sense.
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
Find the area. Round to the nearest hundredth when necessary. Be sure you are showing all work to find each figure.
Answers
Additional requirements in figure :-
Mark point :-
ABCDEDraw a straight line from E to AB .
And the point line joins mark it as "F" .
It will generate quadrilateral FBCD.
we get to know In quadrilateral left angle is 90°
How ?
{
proof :
As three angles are given 90° So third angle will also be 90°
Reason:
→ Sum of interior angles = 2 (no. of angles - 2 × 180°
→Sum of interior angles = (4-2 × 180°)
→Sum of interior angles = (2 × 180°)
→Sum of interior angles = 360°
}
✿Now let the left angle be x
90° +90° + 90° + x = 360° 180° + 90° + x = 360°270° + x = 360x = 360° - 270°x = 90°we know :
Area of rectangle = Length × Breadth
STEPS :
Area of rectangle = Length × BreadthArea of rectangle = 7 × 8Area of rectangle = 56 in²Now let's find EF :
EF = BD - ECEF = 7 - 4 EF = 3 inTo find A
F :
A•F = AB - CDA•F = 12 - 8A•F = 4 inIn triangle AFE:
EF is base of triangle A•F is height of triangleWe know :
Area of triangle =( Height × Base)/2
Steps :
Area of triangle = (Height × Base)/2Area of triangle = (4 × 3)/2Area of triangle = 12/2Area of triangle = 6 in²To find area of figure :
Area of figure = Area of rectangle + Area of triangleArea of figure = 56 + 6Area of figure = 62 in²______________________
~WindyMint
Answer:
[tex]\displaystyle 62\:in.^2[/tex]
Step-by-step explanation:
▽ [tex]\displaystyle \frac{hb}{2} = A, \frac{1}{2}bh = A, or\:\frac{1}{2}hb = A[/tex]
▯ [tex]\displaystyle hb = A[/tex]
All edges meet at right angles, therefore resulting in this:
[tex]\displaystyle 62 = 56 + 6 \Rightarrow 62 = 7 \times 8 + 4 \times 1\frac{1}{2}[/tex]
I am joyous to assist you at any time.
Ten tubs of dried cranberries cost $40 how many runs can u buy for $20
Answers
Answer:
5 tubs
Step-by-step explanation:
This because if we divided 10 in half we get 5 and if we divide 40 in half we get 20
I hope this helps :)!!
Can someone help this is due in like 20 minutes Find the value of x in the triangle shown below. 58° 6 6 5.8
Answers
Answer:
I'm wonde what it is because I like this stuff
The required value of angle x in the given triangle using the sine formula is 61.31
The triangle is shown in the figure, we have to determine the value of angle x in degrees.
To determine the angle, we must apply the sine formula using the angle-side combination.
Sine formula is given as:
sinA/a = sinB/b=sinC/c
sin58/5.8=sinx/6
Simplifying the above expression:
sinx=0.877
x = sin⁻¹(0.877)
x= 61.31°
Learn more about the sine formula here:
https://brainly.com/question/32029921
#SPJ4
Use mental math to find the sum.
150 + 20 + 25
Answers
Answer:
50 + 20 = 70
70 + 25 = 95
150 + 95 = 245
In conclusion, 150 + 20 + 25 equals to a total amount of 215.
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
hemo
150 + 20 + 25
= 100 +50+20+20+5
= 100+90+5
=195
the triangles below are congruent and the corresponding parts are marked
Answers
Answer:
Step-by-step explanation:
i'm burfunkled right now
Answers
Answer: what grade is this
Step-by-step explanation:
Helpppppp!!!
(Show work)
Answers
Answer:
Step-by-step explanation:
Part B: A"C
A shop increases all their prices by 9% A picture frame increases by £153 Find the new price of the picture frame.
Answers
The new price of the picture frame is £1853
Discounts and incrementsGiven the following parameters
Percentage increase = 9%
Increment = £153
Determine the original value if the frame
9% of x = £153
0.09x = £153
x = £153/0.09
x = £1700
New price = £1700 + £153
New price = £1853
Hence the new price of the picture frame is £1853
Learn more on discount here; https://brainly.com/question/1548141
Please help me!! I will mark you brainliest!
Answers
Answer:
Step-by-step explanation:
Right off the bat, you will know the lowest number is 52 and the highest number is 65, therefore there will act as the guides for your box and whisker plot. This eliminates answers B and C because they are not accurate to that.
Next, we find the median of the set of numbers by crossing out (writing it down, or imagining doing so) the numbers on either end consecutively to until you reach the center number, ours being 58. This eliminates answer A.
This leads us to belive answer D is the correct box and whisker plot.
Find the area of this triangle. round to the nearest tenth.
Answers
Answer:
67.5ft²
Step-by-step explanation:
1/2xhxb
1/2x9x15
4.5x15
67.5ft²
Hope this helps!!!!
Rachel deposited $10 in an account earning 5% interest compounded annually.
To the nearest cent, how much interest will she earn in 3 years?
Answers
The amount that Rachel would have in her account after 3 years with annual compounding is $11.58.
What would be the worth of the account in 3 years?When interest is compounded annually, it means both the amout deposited and the interest already accrued increases in value once a year.
The formula for calculating future value:
FV = P (1 + r)^n
FV = Future value P = Present value R = interest rate N = number of years$10 x (1.05)^3 = $11.58
To learn more about future value, please check: https://brainly.com/question/18760477
Answer:
1.58
Step-by-step explanation:
its right
(20 points)
Find x:
(x−2)^2=25
pls show steps so I understand lol
Answers
Answer:
(-3, 7)
Step-by-step explanation:
ok so first take the square root of both sides, so you get (x-2)=5, since the square root gets rid of the power, and the square root of 25, is 5, and since we did a square root, we also have to do the - + thing, so the equation really is now x-2=(+-)5
subtract 2 from both sides, and you get x=(+-)5+2
Solving for x we get -5+2=-3
and also
5+2=7 since there was a positive, and a negative 5.
therefore x would equal (-3, 7)
hope this helps, please mark as brainliest.
I hate these types of problems
I was never taught this stuff
Answers
e + 3.1 = 5
this is hard.
Answers
AnswerAnswer:E=1.9
Step-by-step explanation:
ssorry bit i conta speak englessh
A parabola can be represented by the equation y2 = –x. What are the coordinates of the focus and the equation of the directrix? focus: (negative one-fourth, 0); directrix: x = One-fourth focus: (one-fourth, 0); directrix: x = Negative one-fourth focus: (–4,0); directrix: x = 4 focus: (4,0); directrix: x = –4.
Answers
The focus and directrix of the parabola are (–0.25, 0) and x = 0.25. Then the correct option is A.
What is the parabola?It is the locus of a point that moves so that it is always the same distance from a non-movable point and a given line. The non-movable point is called focus and the non-movable line is called the directrix.
A parabola can be represented by the equation y² = – x.
The coordinates of the focus and the equation of the directrix will be given as
We know that the standard equation of the parabola y² = – 4ax.
On comparing, we have
a = 1/4 = 0.25
The focus of the parabola is at (–a, 0) that is (–0.25, 0).
The directrix of the parabola will be given as
y = a
x = 0.25
More about the parabola link is given below.
https://brainly.com/question/8495504
Answer:
A. focus: (negative one-fourth, 0); directrix: x = One-fourth
Step-by-step explanation:
i did it
The population of Bloom Falls, Mass (population 937)is slowly moving to a
bigger city. Every year the population drops by 4.5%.
What is the population after 3 years
Answers
Answer:
Step-by-step explanation:
When the population drops by 4.5%, there will be (1 - 4.5%) = 0.955 portion of the original population staying. When it happens 3 years in a row with an original population of 937, there will be:
937*0.955*0.955*0.955 = 816.11
~816 people staying in Bloom Falls.