The general form of an parabola is 4y2+40y+3x+103=0. What is the standard form of the parabola?
Answers
9514 1404 393
Answer:
x = -4/3y² -40/3y -103/3
x = -4/3(y +5)² -1
Step-by-step explanation:
Solve for x.
x = (4y² +40y +103)/(-3)
x = -4/3y² -40/3y -103/3 . . . . 'standard form' in the US
__
Taking our clues from the graph*, we can write the vertex form equation as ...
x = -4/3(y +5)² -1 . . . . . . 'standard form' in other places
_____
* The vertex is (-1, -5), so for some leading coefficient, the equation will be ...
x = a(y -(-5))² +(-1) = a(y +5)² -1
The value of 'a' is the scale factor. Here, that is the difference between the parabola value (x = -2 1/3) and the vertex value (x = -1) one unit away from the vertex.
Answer:
The answer is [tex](y+5)^{2} =-\frac{3}{4} (x+1)[/tex]Step-by-step explanation:
I actually don't know the step by steps myself, so I just searched on
Related Questions
Which values of x are solutions to this equation?
х
= 2
O x = 4 or x = 8
O x = 2 or x = 6
O x = -2 or x = 2
OX= -8 or x = 8
Answers
Answer:
X= -8 or x= 8
Step-by-step explanation:
I took the test/quiz
Helppppppppp plzzz I need this done very soon
Answers
Answer:
For every 10 on the x axis, there is 80 on the y axis
Step-by-step explanation:
this is a math equation, solve the inequality for x. please.
Answers
Answer:
X ≤ 0
Step-by-step explanation:
Trust
I need help, this is geometry
Answers
Answer:
∠P = 39º
∠Q=120º
∠R = 21º
Step-by-step explanation:
m∠P+m∠Q+m∠R=180º (sum of ∠s in a triangle)
2x-3+6x-6+x=180º (substitution)
9x-9=180º (algebra)
9x=189º (algebra)
x=21º (algebra) (this is ∠R)
(2x-3)=39º (algebra) (this is ∠P)
6x-6=120º (algebra) (this is ∠Q)
Answer:
∠R = 21°
∠Q = 120°
∠P = 39°
Step-by-step explanation:
Step 1:
6x - 6° + 2x - 3° + x = 180° Sum of a Δ
Step 2:
9x - 9° = 180° Combine Like Terms
Step 3:
9x = 189° Add 9 on both sides
Step 4:
x = 189° ÷ 9 Divide
Step 5:
x = 21°
Step 6:
2 ( 21 ) - 3 = ∠P = 39°
Step 7:
6 ( 21 ) - 6 = ∠Q = 126°
Step 8:
∠R = 21°
Answer:
∠R = 21°
∠Q = 120°
∠P = 39°
Hope This Helps :)
2ab+a^2b-2b-ab please factor it
Answers
Answer:
b(a+2)(a-1)
Step-by-step explanation:
b(2a+a^2-2-2-a)
Answer:
b (a + 2) (a - 1)
Step-by-step explanation:
1. First you need to factor out b from the equation because it is the one factor that they all have in common.
2ab + a²b - 2b - ab
b (2a + a² - 2 - a)
2. Then you just factor 2a + a² - 2 - a and remember the b
b (2a + a² - 2 - a)
b (a + 2) (a - 1)
check your answer:
b (a + 2) (a - 1)
b (a²- a + 2a - 2)
a²b - ab + 2ab - 2b
2ab + a²b -2b - ab
hope this helps!!
A) {(0,1),(1,2),(2,3),(3,4),(1,5)}
B) {(0,0),(1,1),(2,4),(3,9),(4,16)}
C) {(-2,4),(-1,1),(0,0),(2,4),(3,9)}
Which one is a function?
And which is is not Non-function?
PLZ ANSWER PLZ 15 POINTS JUST PLZ
Answers
5.
Find the exact value of sin 267° cos 27°
COS 267° sin 27°.
sin 267° cos 27º – cos 267° sin 27°
Enter your next step here
Answers
1/2 + 1/6 what is it pls help!!!!
Answers
Answer:
4/6
Step-by-step explanation:
1/2 = 3/6. 3/6 + 1/6 = 4/6
Answer:
4/6
Step-by-step explanation
The ratio of children to adults at the football game was 23. If there were 140 children at the football game,
how many adults were there?
Answers
Answer:
Therefore, the number of adults at the football game was 6.
Step-by-step explanation:
Let A represents the number of adults and C represents the number of children.
Therefore, the ratio of children to adults is given as follows:
23:1 = C:A ....................... (1)
Since C = 140, this is substituted into equation (1) as follows:
23:1 = = 140:A ....................... (2)
Transforming equation (2) and solve for A, we have:
23 / (23 + 1) = 140 / (140 + A)
23 / 24 = 140 / (140 + A)
0.958333333333333 = 140 / (140 + A)
0.958333333333333 (140 + A) = 140
(0.958333333333333 * 140) + 0.958333333333333A = 140
134.166666666667 + 0.958333333333333A = 140
0.958333333333333A = 140 -134.166666666667
0.958333333333333A = 5.833333333333
A = 5.833333333333 / 0.958333333333333
A = 6.08695652173878
Rounding to a whole number, we have:
A = 6
Therefore, the number of adults at the football game was 6.
In the bakery 4 cupcakes in one box. If 6 cups
were placed in the box, there would be 20 boxes left
empty. If 3 cupcakes were placed in each box, it
would run out of 20 boxes. Calculate how many
cupcakes were
in the bakery.
Answers
Answer:
There were 240 cupcakes in the bakery
Step-by-step explanation:
Assume that the number of boxes used is x
∵ If 6 cups were placed in the box, there would be 20 boxes left
∴ The number of cups in each box = 6
∴ The number of boxes used = (x - 20)
→ Multiply the number of cups in each box by the number of boxes
used to find the total number of cups
∵ The number of cups = 6(x - 20)
∴ The number of cups = 6x - 120 ⇒ (1)
∵ If 3 cupcakes were placed in each box, it would run out of 20 boxes
∴ The number of cups in each box = 3
∴ The number of boxes used = (x + 20)
→ Multiply the number of cups in each box by the number of boxes
used to find the total number of cups
∵ The number of cups3(x + 20)
∴ The number of cups = 3x + 60 ⇒ (2)
∵ The number of cups is the same in the two cases
→ Equate the right sides of (1) and (2)
∴ 6x - 120 = 3x + 60
→ Add 120 to both sides
∴ 6x = 3x + 180
→ Subtract 3x from both sides
∴ 3x = 180
→ Divide both sides by 3 to find x
∴ x = 60
∴ The number of boxes used is 60
∵ In the bakery 4 cupcakes in one box
∵ The number of boxes is 60
∴ The number of cupcakes = 4 × 60
∴ The number of cupcakes = 240
∴ There were 240 cupcakes
Can someone please help me with this it would be very much appreciated
Answers
Answer:
I'm not sure what you're asking, but I got x=45
Step-by-step explanation:
x+3x+x+3x=8x=360 degrees
360/8=45 so x=45
5y=35+10x in standard form
Answers
Answer:
5y-10x=35
Step-by-step explanation:
The standard way to write a linear relationship between the x and y variables is through a homogeneous equation as a combination of the x and y variables with real coefficients.
50 multiplied by 1,856
Answers
Answer:
92800
Step-by-step explanation:
Brainliest?
Hope this helps
please answer me after you click on the image
Answers
Answer:
2x - 3
Step-by-step explanation:
The missing side is the value of the perimeter subtract the sum of the 2 given sides, that is
? = 10x + 1 - (5x - 2 + 3x + 6)
= 10x + 1 - (8x + 4) ← distribute parenthesis by - 1
= 10x + 1 - 8x - 4 ← collect like terms
= 2x - 3
The soccer team boughtt-shirts at cost for $7.50. They want to sellthem as a fundraiser for between $11.00 and $15.00. What percent increase could they charge?
Answers
Answer:
47% or 100%Step-by-step explanation:
Step one:
given data
cost of T-shirt = $7.50
they could sell for either $11.00 and $15.00.
Required
The percent increase in the price
% increase = (cost-sales)price/cost price
% increase = (7.5-11)/7.5*100
% increase = 3.5/7.5*100
% increase = 0.47*100
% increase =47%
OR
% increase = (7.5-15)/7.5*100
% increase = 7.5/7.5*100
% increase = 7.5/7.5*100
% increase =1*100
% increase =100%
The increase could be 47% or 100%
9x + 11 = 110
what is x ?
Answers
Answer:
x = 11, lucky you, this stuff is easy
Step-by-step explanation:
110 - 11 = 99
9 x 11 = 99
99 + 11 = 110
Answer:
x = 11
Step-by-step explanation:
9x + 11 = 110
- Pass the 11 to the other side of the equation (grouping similar terms) and then perform the following operation:
9x = 110 - 11
9x = 99
- Now we have to obtain x by dividing 9 on both sides of the equation:
(9/9)x = 99/9
x = 99/9, which is divisible by 11.
A pilot flew a 400-mile flight in 2.5 hours flying into the wind . Flying the same rate and with the same wind speed, the return trip took only 2hours with a tailwind
Answers
Answer:
20
Step-by-step explanation:
pilot flew a 400-mile flight in 2.5 hours flying into the wind . Flying the same rate and with the same wind speed, the return trip took only 2hours with a tailwind
The speed can be defined as the ratio distance over time, but in this case the pilot is flying at the speed of the plane as well of speed of the wind. We can denote speed of plane as "s" and speed of the wind as "k"
Then the speed of the plane=(s-k) this is because it is moving in the opposite direction of the wind.
But From the question, the plane distance=400mile and the corresponding time =2.5 h
Then the speed of the plane=(s-k) =400mile/2.5
=160mph
By the time it return from trip, the speed the plane flew with is (s+k) because the wind is at the rear.
From the question, the plane distance=400mile and the corresponding time =2 h
Then (s+k)= (400/2)
(s+k)=200mph
HELP IS FOR A TEST IF I FAIL MY MOM WILL MAKE ME MOVE SCHOOL· One gym charges an initial fee of $30 and a monthly fee of $10. · The other gym charges a monthly fee of $12. Which equation could be used to find out how many months, m, it would take for both memberships to cost the same? A. 12m + 30 = 10m + 30 C. 10m = 12m 12m + 30 = 10m B. 10m + 30 = 12m
Answers
Answer:
10m +30=12m
Step-by-step explanation:
y=10x +30
y=12x
When you multiply or divide a positive and a negative number what will your answer always be?
Answers
Answer:
Step-by-step explanation:
When you multiply two negative numbers or two positive numbers then the product is always positive.
Answer:
Negative
If you multiply/divide a positive by a negative
Step by step explanation:
have to find volume and surface area but idk how
Answers
Answer:
volume 1050 [tex]in^{3}[/tex]
surface area 859 [tex]in^{2}[/tex]
Step-by-step explanation:
volume is length times width times height (7*25*12)/2
surface area is area of all the sides added together
2(25*12)+(12*7)+ 2([tex]\frac{7*25}{2}[/tex])
Answer:
Volume = 1008
Surface Area = 840
Step-by-step explanation:
Find the other leg of the right triangle using the Pythagorean theorem. Answer is 24. Google formula for volume, log in answers. Google formula for surface area, log in answers.
The total number of equally-sized tiles on a circular floor
A. Circumference
B.Area
Answers
Answer:
area
Step-by-step explanation:
area............
The total number of equally-sized tiles on a circular floor is Area.
Given that, the total number of equally-sized tiles on a circular floor.
What is area of a circle?The area of a circle is the space occupied by the circle in a two-dimensional plane. Alternatively, the space occupied within the boundary/circumference of a circle is called the area of the circle. The formula for the area of a circle is A = πr², where r is the radius of the circle.
The area of a circle is the amount of space enclosed within the boundary of a circle. The region within the boundary of the circle is the area occupied by the circle. It may also be referred to as the total number of square units inside that circle.
Hence, the total number of equally-sized tiles on a circular floor is Area.
Learn more about the area of a circle here:
https://brainly.com/question/28642423.
#SPJ3
the graph shows the proportion of red and blue food coloring ,that taylor mixes to make purple ,what is the slope of the line ?tell what in the problem situation ,math question
Answers
Answer: nothing
Step-by-step explanation:
Statistics Probability
A survey of a freshmen English class asked students whether or not they ate breakfast the morning of the survey. The results are included in the table to the right.
(a) What is the probability that a randomly selected student ate breakfast?
(b) Of all students, what is the probability that a randomly selected student is female and ate breakfast?
(c) What is the probability a randomly selected student is male, given that the student ate breakfast?
(d) What is the probability that a randomly selected student ate breakfast, given that the student is male?
(e) What is probability of "is male" or "did not eat breakfast"?
(f) What is the probability of "is male and did not eat breakfast?
Answers
Answer:
Explained below.
Step-by-step explanation:
Denote the variable as follows:
M = male student
F = female student
Y = ate breakfast
N = did not ate breakfast
(a)
Compute the probability that a randomly selected student ate breakfast as follows:
[tex]P(Y)=\frac{n(Y)}{N}\\\\=\frac{198}{330}\\\\=0.60[/tex]
(b)
Compute the probability that a randomly selected student is female and ate breakfast as follows:
[tex]P(F\cap Y)=\frac{n(F\cap Y)}{N}\\\\=\frac{121}{330}\\\\=0.367[/tex]
(c)
Compute the probability a randomly selected student is male, given that the student ate breakfast as follows:
[tex]P(M|Y)=\frac{n(M\cap Y)}{n(Y)}\\\\=\frac{77}{198}\\\\=0.389[/tex]
(d)
Compute the probability that a randomly selected student ate breakfast, given that the student is male as follows:
[tex]P(Y|M)=\frac{n(Y\cap M)}{n(M)}\\\\=\frac{77}{154}\\\\=0.50[/tex]
(e)
Compute probability of the student selected "is male" or "did not eat breakfast" as follows:
[tex]P(M\cup N)=P(M)+P(N)-P(M\cap N)\\\\=\frac{n(M)}{N}+\frac{n(N)}{N}-\frac{n(M\cap N)}{N}\\\\=\frac{n(M)-n(N)-n(M\cap N)}{N}\\\\=\frac{154+132-77}{330}\\\\=0.633[/tex]
(f)
Compute the probability of "is male and did not eat breakfast as follows:
[tex]P(M\cap N)=\frac{n(M\cap N)}{N}\\\\=\frac{77}{330}\\\\=0.233[/tex]
On the last school spirit day, 5 out of every 7 students wore school colors. Based on this information, if 560 students attend the school, write a proportion to determine how many of these students will wear school colors on the next spirit day.
Answers
Answer:400
Step-by-step explanation:
Multiply the total number of students by the ratio given
5/7(560)
Hair grows on your head faster than any other place on your body. Sue was interested in figuring out how fast her hair grows so she measured the growth. After 15 days her hair grew 3 mm. After 50 days, it grew 10 mm. If hair growth can be represented by a linear growth, then a) write a function for the growth G(x) as a function of x= number of days b) how long did it take Sue's hair to grow 17 mm?
Answers
mY HAIR dOesNt GRoW FaStEr oN My HHeAD
Oliver shot 8 free throws at practice, making 6 free throws and missing 2 free throws. If Oliver equally likely to make a free throw as he is to miss a free throw, find the probability of this outcome by expanding (m + n)8. Round to the nearest percent if necessary.
Answers
Answer: m
8 + 8 m 7 n + 28 m 6 n 2 + 56 m 5 n 3 + 70 m 4 n 4 + 56 m 3 n 5 + 28 m 2 n 6 + 8 m n 7 + n 8
Step-by-step explanation: Just use binomial theorem
The probability of this outcome by expanding (m + n)8 is 4.
What is Probability?Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are.
Given:
Total free shots = 8
Oliver make free shots =6
Oliver missed free shots = 2
As, Oliver wanted the free throw and the free throw he missed turn both equal.
So,
=8 / 2
= 4.
Hence, probability of this outcome by expanding (m + n)8 is 4.
Learn more about probability here:
https://brainly.com/question/12629667
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1
X + 5 = -10
(a)
How do I isolate x?
A Add by 5 on both sides
B Subtract by 5 on both sides
Multiply by 5 on both sides
D Divide by 5 on both sides
(b)
X=
Answers
Answer:
Subtract by 5 on both sides.
Step-by-step explanation:
x+5 = -10. if you subtract both sides by 5, you will get x+5-5=-10-5, which can be simplified to x=-15.
What is the value of x in the figure?
400
709
A.
40°
B.
70°
C.
80°
D.
120°
E.
150°
Answers
Answer:
e
Step-by-step explanation:
I need major help, I don't understand
Answers
Answer:
4, 10, 16, 22
Step-by-step explanation:
Plug in the variables according to the equation
So for the equation f(x)= 3x-2 plug if you were looking for A you would put A for f(x) and 2 where the x is so it would look like
A= 3(2)-2 which is A= 6-2 = 4
If we do the same for all of them then they would look like:
B= 3(4)-2
12-2= 10
C= 3(6)-2
18-2= 16
D= 3(8)-2
24-2=22
So youre basically replacing the f(x) and x by the table chart
I hope this helped :)
Find the theoretical probability.
Simplify completely.
Answers
Answer:
[tex] \frac{1}{8} [/tex]
Answer:
The correct answer is 1/4!
Step-by-step explanation:
On Acellus
Have a great day!