The midpoint formula of a quadratic equation is given by: x = -b/(2a), where a, b and c are the coefficients of the quadratic equation ax2 + bx + c = 0.
This formula is used to determine the midpoint of the roots of a quadratic equation. It works by taking the coefficients of the equation and plugging them into the formula. The result of the formula will be the x-coordinate of the midpoint of the two roots.
This formula is useful when solving quadratic equations, because it allows us to quickly find the midpoint of the two roots without having to solve for both roots first. It is also useful for graphing the quadratic equation, as it reveals the location of the vertex of the parabola. Knowing the midpoint of the two roots also makes it easier to determine the nature of the roots, whether they are real or imaginary.
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How to get the awnser
The slope and the y-intercept of the linear function in this problem are given as follows:
Slope: -2.y-intercept: 6.The equation of the linear function in this problem is given as follows:
y = -2x + 6.
What is a linear function?The slope-intercept definition of a linear function is given as follows:
y = mx + b.
In which the parameters are given as follows:
m is the slope, representing the rate of change of the linear function.b is the y-intercept, representing the value assumed by the linear function when x assumes a value of zero.From the table, we have that when x = 0, y = 6, hence the intercept b is given as follows:
b = 6.
When x increases by one, y decays by two, hence the slope m of the linear function is given as follows:
m = -2.
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Urgent!!!!!!
Accidently chose an answer not sure if it's right
I will mark the person who answers with an answer brainliest.
Due soon!!!
Answer:
im pretty sure its right
Step-by-step explanation:
The angle of a triangle are 3x (4x+1) and (6x-3), find the value of x.
X=14
[tex]3x + 4x + 1 + 6x - 3 = 180 \\ 13x - 2 = 180 \\ 13x = 182 \\ x = 14[/tex]
Please help me on this
Answer:
18: D
19: D
20: B
Can someone please help me with math.
Answer:
your answer is line plot D.
Step-by-step explanation:
Helpppppppppppppppppppppp
Answer:
the answer is 59 because you have to simplify no that's the answer
Which proportion is solved correctly using cross products?
4/6 = 12/18 = 4x12=9x18
or
4/6 = 12/18 = 4x12=9x12
The proportion that is solved correct using cross products is given as follows:
4/6 = 12/18 = 4x18 = 6x12
How to solve a proportion applying cross product?A proportion represents a fraction of a total amount, hence it is written as follows:
p = x/y.
In which the terms are given as follows:
x is the numerator of the fraction.y is the denominator of the fraction.For cross products, we have two proportions that are equal, hence the numerator of the first fraction multiplies the denominator of the second fraction, while the denominator of the first fraction multiples the numerator of the second fraction.
The proportion in this problem is given as follows:
4/6 = 12/18.
Hence the cross product is applied as follows:
4 x 18 = 6 x 12
72 = 72 (which is a true statement).
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If a scuba diver swam from the surface at −12 1/2 feet per minute, for 4 1/2 minutes, what would be the diver’s change in elevation?
The change in elevation would be -225/4 feet
What is a mixed fraction?A fraction represented with its quotient and remainder is a mixed fraction. For example, 2 1/3 is a mixed fraction, where 2 is the quotient, and 1 is the remainder. So, a mixed fraction is a combination of a whole number and a proper fraction.
Given here, Speed of scuba diver as -12¹/₂=-25/2 and time in minutes 4¹/2=9/2
Thus distance traversed -25/2 × 9/2 = -225/4
Hence, the change in elevation is -225/4 feet
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a number is at least 16
For a family with 3 children, what is the probability that they have exactly 2 boys and 1 girl?
Answer:
[tex]\frac{3}{8}[/tex]
Step-by-step explanation:
Possibilities (G for girls and B for boys):
GGG
GGB
GBG
GBB
BGG
BGB
BBG
BBB
Answer:
1/4
Step-by-step explanation:
There are a total of four possibilities,
- Three girls
- Three boys
- Two girls and One boy
- Two boys and One girl
and only one of those options are 2 boys and 1 girl
ILL BRAINLIEST YOU PLEASE HELP ME
Answer: 30.0 feet
Step-by-step explanation:
Answer:
30.0 ft
Step-by-step explanation:
Evaluate the radical.
(Look at the photo)
Enter your answer in the box.
Answer:
3
Step-by-step explanation:
This is a cube root so think what times what times what is 27?
3 x 3 x 3 = 27 so the answer is 3
Same problem explained
https://www.mathsisfun.com/numbers/cube-root.html < in detail.
Very helpful website check it out
(It's not a random download link or whatever, look at my profile- i dont do that, its completely safe and legit.)
Jesse is buying a new cell phone online. It costs 8,835.3 yen (Japanese money). The U.S. dollar is worth 88.353 yen. How much will Jesse's cell phone cost in U.S. dollars?
Answer:
Cost of cell phone in U.S. dollar = 100 U.S. dollar
Step-by-step explanation:
Given:
Cost of cell phone in yen = 8,835.3 yen
1 U.S. dollar = 88.353 yen
Find:
Cost of cell phone in U.S. dollar
Computation:
Cost of cell phone in U.S. dollar = Cost of cell phone in yen[1 / 88.353]
Cost of cell phone in U.S. dollar = 8,835.3[1 / 88.353]
Cost of cell phone in U.S. dollar = 8,835.3 / 88.353
Cost of cell phone in U.S. dollar = 100 U.S. dollar
there is another option
6- × =3
Answer:
3x=6
Step-by-step explanation:
The weekly sales of an album have increased since it was first sold at a music store 6 weeks ago. The linear regression equation describing the change is y=1.9x+13.3 , where x represents the week and y represents the number of albums sold per week. Round the residual value to the nearest integer and then construct a residual plot of the data.
The residual value to the nearest integer and then construct the residual plot of the data will be 25.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
Since an album went on sale for the first time at a music retailer six weeks ago, its weekly sales have climbed. The change is described by the linear regression equation y=1.9x+13.3, where x is the week and y is the number of albums sold each week.
The residual value is given as,
y = 1.9(6) + 13.3
y = 11.4 + 13.3
y = 24.7
y ≅ 25
The residual value to the nearest integer and then construct the residual plot of the data will be 25.
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An informal survey was taken at a farmer’s market. People were asked whether they liked carrots, turnips, or both. The results are shown in the Venn diagram.
A circle labeled carrots 84 overlaps a circle labeled turnips 25. Overlap is labeled 17. 4-column table with 3 rows. First column has no label with entries carrots, not carrots, total. Second column is turnips with entries a, b, blank. Third column is not turnips with entries 60%, blank, blank. Fourth column is labeled total with entries blank, blank, 100%.
What are the values of a and b in the relative frequency table for the survey results? Round answers to the nearest percent.
a = 12%, b = 17%
a = 12%, b = 18%
a = 40%, b = 18%
a = 41%, b = 63%
Answer: b
Step-by-step explanation:
Based on the given relative frequency table, and the Venn diagram, the values a and b would be 12% and 18%. a = 12%, b = 18%.
What is the value of A?First find the total number of people surveyed:
= 84 + 17 + 25 + 15
= 141
The value of A would be:
= Carrots and turnips / total people
= 17 / 141
= 12%
What is the value of B?= Number of people who prefer turnips / Total suriveyed
= 25 / 141
= 18%
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explanation with steps
Answer:
x = 40° , y = 140° z = 10°
Step-by-step explanation:
the sum of the 3 angles in a triangle is 180° , then
x + 60° + 80° = 180°
x + 140° = 180° ( subtract 140° from both sides )
x = 40°
the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
y is an exterior angle of the triangle , then
y = 60° + 80° = 140°
x is also an exterior angle , then
30° + z = x
30° + z = 40° ( subtract 30° from both sides )
z = 10°
find the surface area
Answer:
12?
Step-by-step explanation:
Answer:
2x5=10 + 4x3=12 +12 total 34
Step-by-step explanation:
HOPE THIS HELPS!!!!!!!!!
HAVE A AWESOME DAY!!!!!
Question
To be eligible for the swim team, the mean pace a student needs to achieve on 5 laps of the pool is 60 seconds (s). The student swims a lap in 63 s, 62 s, 65 s, and 58 s on her first four laps.
What is the maximum time (in seconds) that she can take on her last lap and still make the team?
The maximum time (in seconds) that she can take on her last lap and still make the team will be 52 seconds.
How to calculate the mean?From the information, to be eligible for the swim team, the mean pace a student needs to achieve on 5 laps of the pool is 60 seconds (s). The student swims a lap in 63 s, 62 s, 65 s, and 58 s on her first four laps.
The maximum time (in seconds) that she can take on her last lap and still make the team will be:
= (60 × 5) - (63 + 62 + 65 + 58)
= 300 - 248
= 52
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Factor 4x^2 - 4x - 24
Answer:
4(x - 3)(x + 2)
Step-by-step explanation:
Given
4x² - 4x - 24 ← factor out 4 from each term
= 4(x² - x - 6) ← factor the quadratic
= 4(x - 3)(x + 2)
[tex] \huge\boxed{ \underline{ \mathbf{Answer :}}}[/tex]
[tex]\hookrightarrow4 {x }^{2} - 4x - 24[/tex]
[tex]\hookrightarrow4 {x}^{2} - 12x + 8x - 24[/tex]
[tex]\hookrightarrow4x(x - 3) + 8(x - 3)[/tex]
[tex]\hookrightarrow(4x + 8)(x - 3)[/tex]
48 > -6x
A. X > -8
B. X > 54
C. X < -8
D. X < 54
Answer:
The answer is C.
Step-by-step explanation:
First divide both sides by -6.
48/-6 > x/-6
Remember, you switch the signs if you are dividing by a negative number.
The final answer will be x<-8.
Hope this helps!
ANSWER CORRECTLY !!!!!!!!!!!!!!! WILL MARK BRIANLIEST !!!!!!!!!!!!!!
Answer:
x = 541.324
Step-by-step explanation:
Carl and Sure are planning to buy a new home. They will both retire in 16 years and do not want to have a house payment at that time. Which offer should they choose?
The question is incomplete. The complete question is :
Carl and Sure are planning to buy a new home. They will both retire in 16 years and do not want to have a house payment at that time. Which offer should they choose?
Offer 1 Offer 2
Rate: 7% Rate: 6%
Time(years): 30 Time (years): 25
Loan Amount: $200,000 Loan Amount: $200,000
Monthly Payment: $1,330.60 Monthly Payment: $1,288.60
Total Financed:$479,017.80 Total Financed: $386,580.84
Offer 3
Rate: 5%
Time (years): 15
Loan Amount: $200,000
Monthly Payment: $1581.59
Total Financed: $284,685.71
Solution :
It is given in the question that Carl and Sue are planning to purchase a new house for them. Both of them are going to retire after 16 years from now and they do not want to have any house loan to pay at their retirement time.
So from the offers, Carl and Sue should take the Offer 3 to buy a home for them. This is because rate of interest for the loan amount is less as compared to the other two offers and also loan will be completed within 15 years from now. So they will not have any loan payment at their retirement period.
Therefore, they should choose Offer 3.
Answer:
4 so you dont have the read that stuff
Step-by-step explanation:
If you place a 34-foot ladder against the top of a building and the bottom of the ladder is 25 feet from the bottom of the building, how tall is the building? Round to the nearest tenth of a foot.
Answer:
59
Step-by-step explanation:
Since it says round to the nearest tenth of a foot, I might be wrong. But anyways I hope this helps!
The height of the building that has a 34 foot ladder rested on it with a distance of 25 feet is 23.0 feet.
The situation forms a right angle triangle.
What is a right angle triangle?A right angle triangle has one of its angles as 90 degrees. The isdes of the triangle can be found using pythagoras theorem.
Therefore, the length of the ladder is the hypotenuse of the triangle. The distance form the bottom of the ladder to the bottom of the building is the adjacent side.
The height of the building is the opposite side of the triangle. Therefore,
c² = a² + b²
34² - 25² = b²
b = √1156 - 625
b = √531
b = 23.0434372436
b = 23.0
The height of the building is 23.0 feet.
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A florist sells a bundle of 12 sunflowers for $9. You can also buy single sunflowers at the same rate. Fill in the table below
Number of sunflowers: Cost ($): Unit rate ($ per sunflower):
2
4
6
8
10
12
Answer:
3$:4
Step-by-step explanation:
12/3= 4 9/3= 3
3$:4
Determine the missing angle measure.
Answer:
19°
Step-by-step explanation:
In this problem, we have complementary angles, which add up to 90° as indicated by the right angle symbol. So, getting x° is as simple as 90°-71°=19°.
Someone please help! Picture attached
Answer:
third side = 3
Step-by-step explanation:
using Pythagoras' identity in the right triangle.
the square on the hypotenuse is equal to the sum of the squares on the other 2 sides.
let the third side be x , then
x² + 4² = 5²
x² + 16 = 25 ( subtract 16 from both sides )
x² = 9 ( take square root of both sides )
x = [tex]\sqrt{9}[/tex] = 3
For which values of k the pair of equations KX 3y K − 3 and 12x Ky K have no solution?
K must be equal to 0, for the pair of equations to have no solution.
For the pair of equations KX + 3y - K = 0 and 12x + Ky - K = 0 to have no solution, the value of K must be such that the two equations have no common solution.
This can be done by equating the two equations and solving for K.
KX + 3y - K = 0
12x + Ky - K = 0
Subtracting equation (1) from equation (2)
11x + 3y = 0
Divide both sides by 3
x + y = 0
Therefore, K must be equal to 0, for the pair of equations to have no solution.
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what’s the area of the other figure?
9514 1404 393
Answer:
12 in²
Step-by-step explanation:
The ratio of areas is the square of the ratio of linear dimensions.
A/27 = (8/12)²
A = 27(2/3)² = 12
The area of the smaller figure is 12 in².
How many permutations are there of all the letters in each name?
a) Inverary
b) Beamsville
c) Mattawa
d) Penetanguishene
Permutations for each word can be calculated by considering the number of unique letters in it and taking factorial of it.
a) Inverary: There are 8 letters in the name "Inverary" (I, N, V, E, R, A, R, Y), so there are 8! (8 factorial) permutations of all the letters in the name. This equals 40320 permutations.
b) Beamsville: There are 9 letters in the name "Beamsville" (B, E, A, M, S, V, I, L, E), so there are 9! (9 factorial) permutations of all the letters in the name. This equals 362880 permutations.
c) Mattawa: There are 7 letters in the name "Mattawa" (M, A, T, T, A, W, A), so there are 7! (7 factorial) permutations of all the letters in the name. This equals 5040 permutations.
d) Penetanguishene: There are 14 letters in the name "Penetanguishene" (P, E, N, E, T, A, N, G, U, I, S, H, E, N), so there are 14! (14 factorial) permutations of all the letters in the name. This equals 87178291200 permutations.
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