The zeros of a parabola are -4 and 2 and (6,10) is a point on the graph which equation can be solved to determine the value of a in the equation of the parabola
Answers
Answer:
Let consider the following linear equation systems by using the known points and second-grade polynomial:
(-1, 7)
a + b + c = 7a+b+c=7
(5, 7)
25\cdot a + 5\cdot b + c = 725⋅a+5⋅b+c=7
(6,10)
36\cdot a + 6 \cdot b + c = 1036⋅a+6⋅b+c=10
After some algebraic manipulation, the values for the polynomial coefficients are found:
a = \frac{3}{5}a= 53 , b = -\frac{18}{5}b=− 518
, c = 10c=10
The polynomial is:
y = \frac{3}{5}\cdot x^{2} - \frac{18}{5}\cdot x+10y= 53
⋅
Step-by-step explanation:
For complete solution see the above attachment!
Related Questions
If f = {(-1, 0), (-2, 2), (-3, 4), (-4, 6), (-5, 8)}, what is the range?
Answers
Answer:
{0, 2, 4, 6, 8 }
Step-by-step explanation:
the range is the y- coordinates of the ordered pairs , then
range { 0, 2, 4, 6, 8 }
3,-1, √5, 13, -11 arrange in ascending order
Answers
Answer:
The answer will be
= -11, -1, √5, 3, 13
Please mark me as the brainliest.
The perimeter of a rectangle is 34 cm. The length is 1 cm longer than the width. What is the length of the longest side of the rectangle?
Answers
Answer: 9 cm
Step-by-step explanation:
The formula for the perimeter of a rectangle is [tex]2l+2w=P[/tex]
Where
l is the length
w is the width
and P is the perimeter (34)
Because the length is 1 cm longer than the width instead of representing the length is l we can use w+1
Sub in the known values and solve
Step 1: Simplify both sides of the equation with the Distributive Property
[tex]2(w+1)+2w=34\\(2)(w)+(2)(1)+2w=34\\2w+2+2w=34\\(2w+2w)+(2)=34\\4w+2=34\\[/tex]
Step 2: Subtract 2 from both sides.
[tex]4w+2-2=34-2\\4w=32[/tex]
Step 3: Divide both sides by 4.
[tex]\frac{4w}{4}=\frac{32}{4} \\w=8[/tex]
Step 4: Add 1 to w to find the length of the longer side
[tex]w+1\\8+1\\9[/tex]
Estimate the value of
0.581 -0.246
Answers
The value of expression is,
⇒ 0.335
What is mean by Subtraction?Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.
Given that;
The expression is,
⇒ 0.581 - 0.246
Now,
Since, The expression is,
⇒ 0.581 - 0.246
After subtraction we get;
⇒ 0.581 - 0.246
⇒ 0.335
Learn more about the subtraction visit;
brainly.com/question/17301989
#SPJ2
Toby has five coins. Three of the coins add up to 30p. Three of the coins add up to 40p. All the coins add up to 50p. List Tony's coins in ascending order of value.
Answers
Tony's coins in ascending order of value will be 5p, 10p, and 15p.
How to depict the information?Based on the information given, the values of the coins will be 5p, 5p, 10p, 15p, and 15p.
In this case, 5p + 10p + 15p = 30p
10p + 15p + 15p = 40p
5p + 5p + 10p + 15p + 15p = 50p
Therefore, Tony's coins in ascending order of value will be 5p, 10p, and 15p.
Learn more about coins on:
brainly.com/question/2974216
#SPJ1
Answer:
5p, 5p, 10p, 10p, 20p
Step-by-step explanation:
5p, 5p, 10p, 10p, 20p,
Consider the equation. Which graph shows a line that is perpendicular to the line defined by the given equation? A. In a linear graph line diagram, A line passes through (minus 4, minus 2) and (2, minus 0.5) which intersects the x-axis at 4 units and the y-axis at minus 1 unit. B. In a linear graph line diagram, A line passes through (2, 0.5) and (minus 4, 2) which intersects the x-axis at 4 units and the y-axis at minus 1 unit. C. In a linear graph line diagram, A line passes through (2, 4) and (0.5, minus 2) which intersects the x-axis at 1 unit and the y-axis at minus 4 units. D. In a linear graph line diagram, A line passes through (2, minus 4) and (0.5, 2) which intersects the x-axis at 1 unit and the y-axis at minus 4 units.
Answers
The graph second represents the line that is perpendicular to the line y = 4x - 2 option (B) is correct.
What is a straight line?A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
The question is incomplete:
The complete question is:
Consider the equation y = 4x - 2 Which graph shows a line that is perpendicular to the line defined by the given equation?
Please refer to the attached picture.
The given line:
y = 4x - 2
The slope of the line m = 4
The slope of the line which is perpendicular to the above line:
M = -1/4 = -0.25
The graph second has a slope of -0.25
[tex]\rm y\ -2\ =\ \dfrac{\left(2-0.5\right)}{-4-2}\left(x+4\right)[/tex]
y - 2 = -0.25x - 1
y = -0.25x + 1
Thus, the graph second represents the line that is perpendicular to the line y = 4x - 2 option (B) is correct.
Learn more about the straight line here:
brainly.com/question/3493733
#SPJ1
How many solutions for x does the following equation have?
3(x + 8) − 1 = 3x + 4
A.
4
B.
1
C.
0
D.
infinite
Answers
Answer:
c. 0
Step-by-step explanation:
3(x+8) - 1 = 3x+4
3x+24-1 = 3x+4
3x+23 = 3x+4
There are no solutions since both equations have the same slope meaning they are parallel and they will never intersect since they have different y-intercepts.
Please help!!!!!!!!!!!asap
Answers
By solving y = 25 · x² - 100 through the square root method, we conclude that the two roots of the quadratic formula are y₁ = + 2 and y₂ = - 2.
How to obtain the roots of a second order polynomial
Herein we have a polynomials of the form y = a · x² - b. By algebra we find that two roots exists, which are described below according to the square root method:
[tex]y_{1} = +\sqrt{\frac{b}{a} }[/tex], [tex]y_{2} = -\sqrt{\frac{b}{a} }[/tex]
If we know that a = 25 and b = 100, then the two roots of the equation are:
y₁ = + 2, y₂ = - 2
By solving y = 25 · x² - 100 through the square root method, we conclude that the two roots of the quadratic formula are y₁ = + 2 and y₂ = - 2.
To learn more on quadratic equations: https://brainly.com/question/2263981
#SPJ1
Step 3: Now multiply the values to get 14,918,904,000. That is almost
15 billion passwords.
That is a lot of passwords! How many passwords would the website
have if users were allowed to reuse the letters and numbers? (Enter
the number of successful outcomes in each of the blanks below.
2
Answers
The number of passwords that would be allowed if users were allowed to reuse the letters and numbers is 30891577600
How to determine the number of passwordsThe given parameters are:
Password length = 8
Letters = 6
Numbers = 2
There are 26 letters and 10 digits.
Since the letters and the numbers can be repeated, then the number of passwords is:
Count = 26^6 * 10^2
Evaluate
Count = 30891577600
Hence, the number of passwords is 30891577600
Read more about combination at:
brainly.com/question/11732255
#SPJ1
Which expression can be used to find the area of the
composite figure?
O 4x
O 2x + 2x²
Ox2 + 2x
O 3x²
Answers
Answer:
3x²
Step-by-step explanation:
1 triangle is 1/2x²
2 triangles are x²
rectangle below is 2 squares
rectangle below is 2x²
x² + 2x² = 3x²
Find the value
of each variable.
Answers
Answer:
y=37 degrees(vertical angles)
x=180-37(linear pair)=143 degrees
z=143 degrees(vertical angles)
Hope it helps!
Answer:
x = 180° - 37° = 143°
y = 37°
z = 180° - 37° = 143°
3. Find the measure of angle TOS in the figure below.
Answers
∠ROQ and ∠TOS are vertically opposite angles, so must be equal, which means they are 122°
∠TOS = 122°another equation for y = 8x + 7
Answers
What is the vertex of the function f(x)=|x-9|+2
Answers
Answer:
vertex = (9, 2 )
Step-by-step explanation:
given the absolute value function
f(x) = a |x - h | + k
with vertex = (h, k )
then
f(x) = | x - 9 | + 2
has vertex = (9, 2 )
2
3
4
5
6
7
8
O They have the same slope.
O They have the same y-intercept.
9
10
TIME REMAINING
55:24
Suppose a system of two linear equations has one solution. What must be true about the graphs of the two equations
O They intersect at one point.
O They intersect at two points.
Answers
Answer:
72
Step-by-step explanation:
yhsvybybyvyyvtvvyyvvt
Answer:
number 9 is the answer for this question
Simplify 8 − (14). plsss help
Answers
Answer:
(-6)
Step-by-step explanation:
Integer subtraction:
If two numbers have different sign, subtract and the result will have the sign of the bigger number.
8 - 14 = (-6)
Subtract 8 from 14 and the bigger number is 14 and sign of 14 is (-).
So, the answer is (-6)
The graph shows the prices of different numbers of bushels of corn at a store in the current year. The table shows the prices of different numbers of bushels of corn at the same store for the previous year.
Part A: Describe in words how you can find the rate of change of a bushel of corn in the current year, and find the value. (5 points)
Part B: How many dollars more is the price of a bushel of corn in the current year than the price of a bushel of corn in the previous year? Show your work. (5 points)
Answers
#1
Take any two points
(3,24)(6,48)Slope
m=48-24/6-3m=24/3m=8#2
(3,21)(6,42)Slope:-
m=42-21/6-3m=21/3m=7Difference
1$Answer:
Part a you find the rate of change by finding the slope of the line the value is 8 it is (y2-y1)/(x2-x1) 48-24/6-3=24/3=8
Part b current year is 8 dollars a bushel and previous year is 7 dollars
Step-by-step explanation:
One of the solutions to x² - 2x - 15 = 0 is x = -3. What is the other solution?
O x=-5
O x=-1
O x = 1
O x = 5
Answers
Answer:
x= 5
Step-by-step explanation:
factorised the equation is (x-5) (x+3)
x=5 x=-3
Determine if the lines through each set of ordered pairs are parallel, perpendicular, or neither. Explain your answer. Ordered pairs: (8, 3) (-2, 5) and (-2, -5) (-1, -10)
Answers
Considering the slope of the lines, it is found that the lines going through the points are neither parallel nor perpendicular.
When are lines parallel, perpendicular or neither?The slope, given by change in y divided by change in x, determines if the lines are parallel, perpendicular, or neither, as follows:
If they are equal, the lines are parallel.If their multiplication is of -1, they are perpendicular.Otherwise, they are neither.In this problem, the slopes are given as follows:
m1 = (5 - 3)/(-2 - 8) = -2/10 = -1/5 = -0.2.m2 = (-10 - (-5))/(-1 -(-2)) = -5/1 = -5.The multiplication is of 1, not -1, hence they are neither parallel nor perpendicular.
More can be learned about the slope of a line at https://brainly.com/question/12207360
#SPJ1
1.Simplify using suitable properties
(i) 13−51+2
Answers
Answer:
This is my answer:
Step-by-step explanation:
I need help asp. Identifying Geometric Figures.
Answers
Answer:
The angle created by OX and OZ is angle XOZ
The two rays that create YOX are ray OX and ray OY
The center of the circle is point O
Step-by-step explanation:
The image attached below shows a circle with a center at point O at which several rays meet to form the following angles, namely:
ray OX and ray OZ meet at center O to form angle XOZ.
ray OX and ray OY meet at the center O to form angel YOX.
Therefore:
The angle created by rays OX and OZ is <XOZ
The two rays that created <YOX are: OX and OY
The center of the circle is point O.
I hope this is helpful.
Angle QRS is bisected by ray RP. If angle QRP is 60 degrees, what would be the measure of angle QRS?
Answers
Answer:
6779
Step-by-step explanation:
69
Which pyramid has a greater volume, and how much greater is its volume? A rectangular pyramid on the left with a base of 7 inches by 6 inches and height of 3 inches. A rectangular pyramid on the right with a base of 4 inches by 3 inches and a height of 10 inches. The volume of the pyramid on the left is greater by 2 inches cubed. The volume of the pyramid on the left is greater by 6 inches cubed. The volume of the pyramid on the right is greater by 2 inches cubed. The volume of the pyramid on the right is greater by 6 inches cubed
Answers
The volume of the pyramid on the left is greater by 8 inches cubed
We have given that,
A rectangular pyramid on the left with a base of 7 inches by 6 inches and a height of 3 inches.
A rectangular pyramid on the right with a base of 4 inches by 3 inches and a height of 10 inches.
The volume of the pyramid on the left is greater by 2 inches cubed. The volume of the pyramid on the left is greater by 6 inches cubed.
The equation for finding the volume of a pyramid is,
What is the volume of a pyramid?lwh/3
when you input the values of the two pyramids into this equation you get the left pyramid having a volume of 128 inches cubed and the right pyramid having a volume of 120 inches cubed.
Therefore, 128 - 120 = 8
To learn more about the pyramid visit:
https://brainly.com/question/218706
#SPJ1
PLEASE HELP ASAP (timed)
Answers
Answer:
x = -19/7Step-by-step explanation:
-19 : 14 = x : 2
x = 19 * 2 : -14
x = 38 : -14
x = -19/7
If 3/4 of ojo’s pocket money is €600.00; what is 1/8 of this pocket money?
Answers
Answer:
100
Step-by-step explanation:
explanation is shown in the picture
Let's set all the information into equations:
⇒ 3/4 of Ojo's money is €600.00 ⇒ [tex]\frac{3}{4} x = 600[/tex]
(Where x is the total amount of money)
Let's solve the equation:
⇒ to find the total amount of money that Ojo has:
[tex]\frac{3}{4}x=600\\ 3x=2400\\x=800[/tex]
⇒ total money is €800
Original question: what is 1/8 of this pocket money
[tex]\frac{1}{8} *800=100[/tex]
Answer: €100 is 1/8 of his pocket money
Hope that helps!
#LearnwithBrainly
Which foundation drawing matches this orthographic drawing?
Answers
The figure second represents the foundation drawing of a provided front, right, and top view option second is correct.
What is orthographic drawing?Three-dimensional objects can be represented in two dimensions via an orthographic projection.
As we have given orthographic drawings.
The front, right, and the top view is shown in the picture of the cuboid if merge all the view we will find the three-dimensional figure is a cuboid.
We can represent the cuboid by 2×3 grids as shown in the picture second.
Thus, the figure second represents the foundation drawing of a provided front, right, and top view option second is correct.
Learn more about the orthographic drawing here:
https://brainly.com/question/2508352
#SPJ1
pls help
B (20,25) (12,9)
C (150,125) (96,64)
D ( 25, 150) (16,96) (9,54)
E (5,125) (4,64)
Answers
Answer:
Side Length and Perimeter of One Face
Step-by-step explanation:
See attached image.
The table shows the probabilities of certain prizes in a restaurant’s contest where the first 100 customers are winners.
A 2-column table with 6 rows. The first column is labeled prize with entries 1 dollar drink, 5 dollar meal, 5 dollar gift card, 10 dollar gift card, 20 dollar gift card, 100 dollar gift card. The second column is labeled number of prizes with entries 44, 25, 16, 10, 5, 1.
How does the $100 gift card affect the measure of center of the data?
Answers
A mean is an arithmetic average of a set of observations.
The correct option is (A).
What is Mean?
A mean is an arithmetic average of a set of observations.
Mean = (Sum of observations)/Number of observations
As, the median is the middle value.
Thus, the median will not be changed.
As, the mean is the arithmetic average.
So, the $100 gift will increase the mean value of the prizes.
Learn more about Mean here:
brainly.com/question/16967035
#SPJ1
Answer:
A
Step-by-step explanation:
Here's a graph of a linear function. Write the
equation that describes that function.
Express it in slope-intercept form
Answers
Answer:
y = 3/4x + 2
Step-by-step explanation:
let me know if you want an explanation :))
Select the correct answer.
What is √x^9y^4
in simplest form?
Answers
Answer:
x^3y^2
Step-by-step explanation:
[tex]\sqrt{x^9y^4}\\ =\sqrt{x^9}\sqrt{y^4}\\ = x^3y^2[/tex]