Answers
Answer:
Not a quadratic function.
Step-by-step explanation:
DefinitionsA function is a relation wherein each input or x-value corresponds exactly to an output or y-value. In other words, a relation is a function if there are no repeating x-values.
Vertical Line Test :A way to determine whether a given graph represents a function is to perform the Vertical Line Test. Using the Vertical Line Test, we must draw vertical lines across the graph. If each of the vertical lines drawn intersects the graph at exactly one point, then the relation is a function.
⇒ The attached screenshot shows that the given graph fails the Vertical Line Test, as each vertical line drawn intersects the graph more than once. This means that those x-values correspond to more than one y-value. Specifically, x = 1 corresponds to the following y-values: y = -1 and y = 1. Hence, the given horizontal parabola is not a quadratic function.
Horizontal Parabola: Not a FunctionThe given graph represents a horizontal (or sideways) parabola.
The vertex form of the horizontal parabola is: x = a(y - k)² + h.
where:
a = Determines the direction of the graph's opening.
a > 0, the graph of the parabola opens to the right.a < 0, the graph of the horizontal parabola opens to the lefty = k is the horizontal axis of symmetry
k = determines the vertical translation of the graph
h = determines the horizontal translation of the graph
Equation of the Horizontal Parabola in Vertex Form:The vertex of the given graph occurs at the point of origin, (0, 0).
Let's use one of the given points on the graph, (1, 1), and substitute these values into the vertex form to solve for a :
x = a(y - k)² + h
1 = a(1 - 0)² + 0
1 = a( 1 )²
1 = a
Equation of the given horizontal parabola in vertex form:
⇒ x = (y - 0)² + 0 or x = y²
It is evident that in the vertex form of a horizontal parabola, the variable, y, is squared.
This implies that each x-values on the graph have more than one corresponding y-values:x = 1 has two y-values: y = -1, and y = 1.
x = 4 has two y-values: y = -2, and y = 2.
Thus, by definition of function, the given horizontal parabola is not a quadratic function, as it fails the vertical line test.
Related Questions
Find the value of x and the indicated angles.
Answers
Answer:
x = 19
Indicated angles: 113°
Step-by-step explanation:
We can tell that 6x - 1 is equal to 2x + 75 because they are vertically opposite angles. Now, let's solve.
=> 6x - 1 = 2x + 75=> 6x - 2x = 1 + 75=> 4x = 76=> x = 19Since we have found the required variable, we can now solve the indicated variables.
Given angles:
6(19) - 12(19) + 75Let's solve 6(19) - 1 first.
6(19) - 1=> 114 - 1=> 113Therefore, 6(19) - 1 measures about 108°. Now, let's solve 2(19) + 75
2(19) + 75=> 38 + 75=> 113We can clearly see that both angles are equal (113 = 113) Because of vertically opposite angles.
Conclusion:
Therefore, the required variable is 'x = 19' and when we substitute the variable in both angles, we find that both angles show 113°.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
PLEASE HELP ME GET ANSWER
Answers
Step by step solution:
A=A
B=5A
C=5A-13
A+5A+5A-13=185
11A-13=185
11A=198
A=18
A=18
B=90
C=77
Hope that helps :)
Answer:
The second number is 90.
Step-by-step explanation:
The first statement isn't at all helpful when you start the problem. Three numbers add up to 185. Big deal. Hold that thought for later.
You need a place to start: think about some quantity to assign a variable name (letter) to. Look at the second statement.
The second number is 5 times the first. If x represents the first number, then 5 times that is 5x. So far, you have this:
x = first number
5x = second number
Next: The third number is 13 less than the second number. "13 less than" means to subtract 13 from something. But what? The second number.
5x - 13 = third number
Now the first statement is useful. All three numbers add up to 185.
x + 5x + (5x - 13) = 185
Combine like terms.
11x - 13 = 185
Add 13.
11x = 198
Divide by 11.
x = 18
Wait! Trick question. The problem asks for the second number, not the first.
5x = 5(18) = 90
Which of the following expressions are equivalent to 40x+30y choose all that apply
Answers
Answer:
1,390 I think that's the answer
Step-by-step explanation:
hope that helps
The expression equivalent to 40x + 30y are 5(8x + 6y), 10(4x + 3y) and 2(20x + 15y).
What are Expressions?Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.
Given are some expressions in the options.
Distributive rule says that,
a ( b + c ) = (a b) + (a c), where a, b and c are any numbers.
5x(8 + 6) = 5x(14) = 70x
5(8x + 6y) = 40x + 30y
10(40x + 30y) = 400x + 300y
10(4x + 3y) = 40x + 30y
2y(20x + 15) = 40xy + 30y
2(20x + 15y) = 40x + 30y
Hence the expressions which are equivalent to 40x + 30y are 5(8x + 6y), 10(4x + 3y) and 2(20x + 15y).
Learn more about Expressions here :
https://brainly.com/question/21751419
#SPJ2
The complete question is :
Which of the following expressions are equivalent to 40x+30y. Choose all that apply.
5x(8 + 6)
5(8x + 6y)
10(40x + 30y)
10(4x + 3y)
2y(20x + 15)
2(20x + 15y)
help please??????????
Answers
Answer:
D. 4+2 = 2+4
Step-by-step explanation:
Commutative property of addition states that the answer does not change when you change the order of the equation.
Example:
a+b = b+a
Hope this helps! Have a great day!
Answer: 4+2=2+4
Step-by-step explanation:
Commutative property of addition states that the answer does not change when you change the order of the equation.
Example:
a+b = b+a
100% correct
Complete the table using the equation y = 5x + 3.
x -1 0 1 2 3
y -? ? ? ? ?
Answers
Answer:
See below
Step-by-step explanation:
When x=-1, y=5(-1)+3=-5+3=-2
When x=0, y=5(0)+3=0+3=3
When x=1, y=5(1)+3=5+3=8
When x=2, y=5(2)+3=10+3=13
When x=3, y=5(3)+3=13+3=16
Therefore, this is the correct table:
x -1 0 1 2 3
y -2 3 8 3 16
carter construction has been asked to pave the parking lot of a local bank. how many square feet of pavement will they need to cover the whole parking lot?
Answers
I Hope This Helps
I need help asap!!
Triangle 1 is composed of line segments AB, BC, and CA.
Triangle 2 is composed of line segments DE, EF, and FD.
The triangles are similar with a scale of 5:2.
Select the true statement about the proportions of the sides.
Answers
Similar triangles that have a scale ratio other than 1 are not congruent triangles.
The true statement about the proportions of the sides is [tex]\frac{AC}{DF} = \frac 52[/tex]
The scale ratio is given as: 5 : 2
And the corresponding sides are given as:
AB and DE.BC and EF.CA and FD.The above highlights mean that,
[tex]\frac{AC}{DF} = \frac{BC}{EF} = \frac{AB}{DE} = \frac 52[/tex]
Hence, the true statement is [tex]\frac{AC}{DF} = \frac 52[/tex]
Read more about similar triangles at:
https://brainly.com/question/14285697
(-9)+5-6+9-(-9)+99-2+50
Answers
-9+5=-4
-4-6=-10
-10+9=-1
-1-(-9)=8
8+99=107
107-2=105
105+50=155
can some one help me on this
Answers
so do 7 * 5 which is 35 so they make 35 cookies in 5 seconds
Please help, I’m having trouble
Answers
Answer:
z=13
Step-by-step explanation:
SU 1
------ = ------
WV 2
z 1
----- = ----------
z+13 2
Using cross products
2z = z+13
Subtract z from each side
2z-z = z+13-z
z = 13
Find the domain and range of this mapping diagram.
Answers
Answer:
Domain: 3,4,5,6
Range: 7,9,11,13
Pairs: (3,7), (4,9), (5,11), (6,13)
Step-by-step explanation:
How many weeks will Sanjay need to ride his bike to work in order to ride 150 kilometers?
Answers
Answer:
This is because he rides 37.5 k/m every week. Multiply that by four and you get 150
Answer:
Sanjay will need to ride his bike to work for 4 weeks in order to ride 150 kilometers.
Use substitution to solve each system of equations.
=++=
Answers
Answer:
I can only see =++= so please repost your answer so i can edit my answer as well
Step-by-step explanation:
I need help with this. I'm so lost..
Answers
Answer:
1. Answer Is 33
2. Answer Is 25
3. Answer Is 33
At latitude zero, expected temp is 137. This highlights the problem of extrapolation, which is a side issue. Plugging latitude 50 into the resulting equation yields 13.6 degrees F. NB both latitude and temperature are measured in “degrees” but these are vastly different. I left the unit off latitude to avoid this confusion.
Miranda bought oranges which are sold in a bag of 5 for $2. The next day she bought 20 oranges which was $8. What is the table for this problem? (Create a table with the information above with at least 5 ordered pairs)
Answers
Answer:
I think the answer is $170
the best season for the new york mets basball team was 1986. they won 2/3 of the games they played and won the world series, beating the boston red sox. if the mets played 62 gmaes, how many did they win?
Answers
Answer: do 2/3 of 62, or 2/3 x 62
convert 2/3 to a decimal (0.666)
0.666x62 = 41.292
Step-by-step explanation:
What is the distance between the following points
answer choices
A 85
B 90
C 11
D 12
Answers
Answer:
[tex]\sqrt{85}[/tex]
Step-by-step explanation:
Calculate the distance d using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2-y_{1})^2 } }[/tex]
with (x₁, y₁ ) = (- 5, 8 ) and (x₂, y₂ ) = (4, 6 )
d = [tex]\sqrt{4-(-5))^2+(6-8)^2}[/tex]
= [tex]\sqrt{(4+5)^2+(-2)^2}[/tex]
= [tex]\sqrt{9^2+4}[/tex]
= [tex]\sqrt{81+4}[/tex]
= [tex]\sqrt{85}[/tex]
what is the constant proportionality of y=5/7x
Answers
Explanation:
I'm assuming the equation is [tex]y = \frac{5}{7}x[/tex] which is the same as writing y = (5/7)x.
If so, then the constant of proportionality is the fraction out front: The value 5/7 is the coefficient of the term (5/7)x.
All direct proportion equations are of the form y = kx, where k is the constant of proportionality. Another example would be y = 12x and this time k = 12.
Given the set of domain D = {-3, -2, -1, 0, 1, 2, 3}
Construct /Do the following:
1. Set of ordered pairs such that the range is one less than the domain.
2. Construct table of values such that the range is 2 more than the domain.
3. Write the equation for numbers 1 and 2.
4. Graph numbers 1 and 2 on separate coordinate plane.
Answers
Given the domain of values D = {-3, -2, -1, 0, 1, 2, 3}
1) If the set of range is one less than the domain, the required range will be:
Range = {-4, -3, -2, -1, 0, 1, 2}
2) If the set of range is 2 more than the domain, the required range will be:
Range = {-1, 0, 1, 2, 3, 4, 5}
The table of values is given as:
x y
-3 | -1
-2 | 0
-1 | 1
0 | 2
1 | 3
2 | 4
3 | 5
2) For equation 1, we will use the coordinate points (0. -1) and (1, 0)
The equation in slope-intercept form is given as y = mx + b
m = 0-(-1)/1-0
m = 1/1 = 1
Since the y-intercept is at (0, -1), hence b = -1
Substitute the given value into the formula:
Recall that y = mx + b
y = 1x + (-1)
y = x - 1
Hence the equation 1 will be y = x - 1
For equation 2, we will use the coordinate points (-1, 1) and (0, 2)
The equation in slope-intercept form is given as y = mx + b
m = 2-1/0-(-1)
m = 1/1 = 1
Since the y-intercept is at (0, 2), hence b = 2
Substitute the given value into the formula:
Recall that y = mx + b
y = 1x + 2
y = x + 2
Hence the equation 2 will be y = x + 2
4) The graph of each equation on a different coordinate plane is attached.
Learn more on graphs and functions here: https://brainly.com/question/11740855
i need help as u can tell all the erasing
Answers
Answer:
x=10
Step-by-step explanation:
We know that the values will be the same because of a geometry rule (i don't remember which one sorry) so we can rewrite the equation as
6x=5x+10 Then, subtract 5x from both sides
x=10
I'm assuming this is what the question is asking
13. Write the equation of the line perpendicular to
5y = 3x + 25 but passing through (-4,-1)
Answers
Answer:
y = -[tex]\frac{5}{3}[/tex]x - -[tex]\frac{23}{3}[/tex]
Step-by-step explanation:
First, let's divide both sides by 5 to get the first equation into the form y = mx + b. We get y = [tex]\frac{3}{5}[/tex]x + 5. The m value, [tex]\frac{3}{5}[/tex], is the slope and the b value, 5, is the y-intercept of this line.
When a line is perpendicular to another line, the slopes must multiply to get -1. In other words, the slopes must be a negative reciprocal of each other. Since the slope of the original line is [tex]\frac{3}{5}[/tex], we know that the slope of the line perpendicular to that is -[tex]\frac{5}{3}[/tex].
Then, since we know x, y, and m of the second equation, we can substitute those three values into the equation, y = mx + b, to find the y-intercept (b).
-1 = (-[tex]\frac{5}{3}[/tex])(-4) + b
-1 = [tex]\frac{20}{3}[/tex] + b
b = -[tex]\frac{23}{3}[/tex]
After plugging in the values of m and b we calculated, we get the equation for the line perpendicular to the original line: y = -[tex]\frac{5}{3}[/tex]x -[tex]\frac{23}{3}[/tex].
Read the paragraph. [1] The 1992 Olympic Games took place in Barcelona, Spain. [2] This marked the first year that professional basketball players were permitted to represent their countries in the games. [3] Previously, only amateur players were allowed to participate such as college athletes. [4] The US squad was called “The Dream Team” because it consisted of some of the best players in the history of the game, including Michael Jordan, Magic Johnson, and Larry Bird. Which sentence should be revised to improve this paragraph’s sentence fluency?Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options. x < 5 –6x – 5 < 10 – x –6x + 15 < 10 – 5x A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right. A number line from negative 3 to 3 in increments of 1. An open circle is at negative 5 and a bold line starts at negative 5 and is pointing to the left.
Answers
The sentence that needs to be revised to improve the paragraph's sentence fluency is: sentence 3.
The two correct representations for the inequality can be -6x + 15 < 10 - 5x OR x < 5
In a grammatical context, the correct usage of punctuation marks and active voice is required and needed to be taken into consideration by the writer for effective communication to the reader.
The correct form of the sentence in sentence 3 should be:
"Previously, only amateur players, like college athletes, were allowed to participate."The inequality given is -3(2x - 5) < 5(2 - x). Using the simple algebraic method to solve the given inequality, we have:
= -3(2x - 5) < 5(2 - x)
= -6x + 15 < 10 - 5x
By collecting the like terms, we have:
= 15 - 10 < -5x + 6x
= x < 5
Therefore, the two correct representations for the inequality can be -6x + 15 < 10 - 5x OR x < 5
NOTE: The third question is a repetition of an incomplete question.
Learn more about sentences here:
https://brainly.com/question/4955765
Beth sold half of her comic books and then bought nine more. She now has 28. With how many did she begin?
Equation:
Answer;
Steps to solve:
Answers
Answer:
She had 38!
Step-by-step explanation:
28-9 is 19 then just multiply that by two which is 38
Answer:
38
Step-by-step explanation:
28-9=19 19+19=3
subtract 9 from 28 then you get 19 then you add 19 to 19 and you get 38
how do you subtract -5000 from 263
Answers
Answer:
263-5000=4737
Step-by-step explanation:
IF ITS -5000-263
if you subtract a negative to a negative it makes the negative increase. -5000-263 would end up being technically -5000+(-263). A number line would help you, because on a number line, when subtracting, you go to the left.
[-5000+(-263)=-5263]
IF ITS 263-(-5000)
do you see those two - signs? Those cross eachother out, turning it into a +, also making the -5000 not negative anymore. Making 263-(-5000) = 263+5000.
[263+5000=5263]
4. Diagram A represents the area enclosed by a shopping mall.
Diagram A
B
6 inches
What is the length of side AC of the actual mall, in feet?
A
С
8 inches
Answer:
feet
Scale: 1 inch = 300 feet
Answers
Answer:
The answer is 2,400:)
Step-by-step explanation:
8×300 is 2400
Please help meee :( Just an answer
Answers
Answer:
p plus 6
Step-by-step explanation:
Juhi had $350 more than Trent. After Juhi spent 50% of her money
and Trent spent 70% of his money, Juhi had $255 more than Trent
How much did Trent have at first?
Answers
Correct me if im wrong*-*
need help with this dividing whole numbers thing
Answers
Answer:
72 : n = 18. n x 18 = 72
n : 18 = 72. 72 x 18 = n
72 : 18 = n
Step-by-step explanation:
these are the last 2 I need
Answers
Answer:
A and A
Step-by-step explanation:
REPOST BECAUSE OF LINKS ASAP WORTH 70 POINTS IF U ANSWER
It is recommended that you work this out on graph paper to help answer the questions. Maria plots the locations of 4 places on a coordinate grid as given below (It is recommended that you work this out on graph paper to help answer the questions.):
Her house is at (−4, 9).
Her school is at (−4, 3).
The community center is at (1, 3).
The grocery store is at (−4, −8).
Is the total distance from Maria's house to the school to the grocery store greater than the total distance from Maria's house to the school to the community center? Justify your answer.
Answers
Answer/Step-by-step explanation:
9-3= 6 units (since x coordinates are same). We can also show by manually counting the squares (1 square= 1 unit)
Yes, its greater. Distance from house to school is 6. Distance from school to grocery is 3-(-8)= 11. Thus, distance is 11+6= 17 units.
Distance from house to school is 6. Distance from school to community center is 1-(-4)=5. Thus, distance= 6+5=11 units.
