Given the graph below, which of the following statements is true? On a coordinate plane, a graph shows an image with three connected lines. The first line has a negative slope and goes from (negative 5, 6) to (negative 2, 0), the second line has a positive slope and goes from (negative 2, 0) to (2, 2), and the third line has a negative slope going from (2, 2) through (4, negative 2). The graph represents a one-to-one function because every x-value is paired with only one y-value. The graph represents a one-to-one function because it is defined for all x-values. The graph does not represent a one-to-one function because it does not pass through the origin. The graph does not represent a one-to-one function because the y-values between 0 and 2 are paired with multiple x-values.
Answers
Answer:
The correct option is (D).
Step-by-step explanation:
A one-to-one function can be defined such the every value of x corresponds to exactly one value of y.
That is:
x₁ → y₁
x₂ → y₂
x₃ → y₃
.
.
.
and so on.
Consider the graph.
From the graph it can be seen that for y = 0 and y = 2 there are multiple x coordinates.
So, the graph does not represent a one-to-one function because the y-values between 0 and 2 are paired with multiple x-values.
According to the graph it can be concluded that the graph of three lines is not an one one function because the values of 'y' between 0 and 2 are paired with multiple 'x' values.
Given :
On a coordinate plane, a graph shows an image with three connected lines. The first line has a negative slope and goes from (-5, 6) to (-2, 0).The second line has a positive slope and goes from (-2, 0) to (2, 2).The third line has a negative slope going from (2, 2) through (4, -2).Draw the graph of the three lines in order to determine the function is one-one function or not.
The equation of the line passing through (-5,6) and (-2,0) is given by:
[tex]\dfrac{y-6}{x+5}=\dfrac{0-6}{-2+5}[/tex]
[tex]\dfrac{y-6}{x+5}=\dfrac{-6}{3}[/tex]
[tex]y-6=-2(x+5)[/tex]
y + 2x + 4 = 0 --- (1)
The equation of the line passing through (-2,0) and (2,2) is given by:
[tex]\dfrac{y-0}{x+2}=\dfrac{2-0}{2+2}[/tex]
2y = x + 2 ---- (2)
The equation of the line passing through (2,2) and (4,-2) is given by:
[tex]\dfrac{y-2}{x-2}=\dfrac{-2-2}{4-2}[/tex]
y - 2 = -2(x - 2)
y + 2x = 6 ---- (3)
Now, with the help of these three equations, the graph of the three lines can be plotted. The Graph is attached below.
So, according to the graph it can be concluded that the graph of three lines is not an one one function because the values of 'y' between 0 and 2 are paired with multiple 'x' values.
Therefore, the correct option is D).
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Related Questions
Laurissa rolls two number cubes, each with the numbers 1 through 6. Laurissa adds the numbers that appear on the roll Which two sums have an equal chance of occurring?
Answers
Answer:
2 and 12;
4 and 10;
5 and 9
6 and 8
Step-by-step explanation:
Given
Roll of two number cubes
Required
Determine the sums which have equal chance
Represent the sample space of both number cubes with S1 and S2
[tex]S_1 = \{1,2,3,4,5,6\}[/tex]
[tex]S_2 = \{1,2,3,4,5,6\}[/tex]
Next, get the outcome of roll two number cubes
Outcome = [tex](1,1)(1,2)(1,3)(1,4)(1,5)(1,6)\ (2,1)(2,2)(2,3)(2,4)(2,5)(2,6)\ (3,1)(3,2)(3,3)(3,4)(3,5)(3,6)[/tex][tex](4,1)(4,2)(4,3)(4,4)(4,5)(4,6)\ (5,1)(5,2)(5,3)(5,4)(5,5)(5,6)\ (6,1)(6,2)(6,3)(6,4)(6,5)(6,6)[/tex]
Next, get the sample space;[tex]S = \{2,3,4,5,6,7, 3,4,5,6,7,8, 4,5,6,7,8,9, 5,6,7,8,9,10, 6,7,8,9,10,11, 7,8,9,10,11,12\}[/tex]
Reorder from lowest to highest[tex]S = \{2,3,3,4,4,4,5,5,5,5,6,6,6,6,6,7,7,7,7,7,7,8,8,8,8,8,9,9,9,9,10,10,10,11,11,12 \}[/tex]
Next, form a frequency table
Sum -- Frequency
2 ---- -- 1
3 ---- -- 2
4 ---- -- 3
5 ---- -- 4
6 ---- -- 5
7 ---- -- 6
8 ----- -- 5
9 - ------ 4
10 --- -- 3
11 --- ---- 2
12 ------ 1
From the above table, we can now determine the two sums that have equal probability;
The two sums that have equal probability have the same frequency;
Hence;
2 and 12 have the same chance of occurring
4 and 10 have the same chance of occurring
5 and 9 have the same chance of occurring
6 and 8 have the same chance of occurring
Answer:
5 and 8
Step-by-step explanation:
4.32x+1=17.8929 Sole for x
Answers
Answer:
x = 3.91039
Step-by-step explanation:
Order of Operations: BPEMDAS
Step 1: Write out equation
4.32x + 1 = 17.8929
Step 2: Subtract 1 on both sides
4.32x = 16.8929
Step 3: Divide both sides by 4.32
x = 3.91039
Pick any number and add 5 to it. Find the sum of the new number and the original number. Add 5 to the sum. Divide the new sum by 2 and subtract the original number from the quotient. What is the final number?
Answers
Answer: The final number is 5
Step-by-step explanation:
Picked number: 10
STEP are all according to what you stated
10+5=15 (first sentence)
15+10=25 (second sentence)
25+5=30 (third sentence)
30÷2-10=5 (fourth sentence)
The final number is 5.
brainleist find the set of which -8/9 belongs to A integers b whole numbers c irrational numbers d real numbers e rational numbers f natural numbers
Answers
Analyze the logical statements to fill in the missing information.
1. If a line is horizontal, then it has a slope of 0.
Hypothesis:
Conclusion:
2. A vertical line has an undefined slope.
The statement in equivalent "if-then" form would be:
Hypothesis:
Conclusion:
Answers
Answer:
1,2,2,1,2
Step-by-step explanation:
on edg
Conclusion: a slope of 0
Hypothesis: is there is a vertical lineConclusion: then it has an undefined slope.
What is Hypothesis?
A hypothesis, in a scientific context, is a testable statement about the relationship between two or more variables or a proposed explanation for some observed phenomenon.
given:
1. If a line is horizontal, then it has a slope of 0.
Hypothesis: line is horizontal
Conclusion: a slope of 0.
2. . A vertical line has an undefined slope.
Hypothesis: is there is a vertical line
Conclusion: then it has an undefined slope.
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Chocolate and peanut butter cookies are randomly chosen from a cookie jar and placed onto a plate. The first plate had four chocolate chip cookies and one peanut butter cookie. A second plate was prepared with 2 chocolate cookies and p peanut butter cookies. If the probability of drawing a chocolate cookie from each plate is 8/25, how many peanut butter cookies, P, are on the second plate?
Answers
Answer:
Step-by-step explanation:
how to do this question plz answer me step by step plzz
Answers
Answer:
The four angles are;
30 degrees, 85 degrees, 95 degrees , and 150 degrees
Step-by-step explanation:
Call the four angles of this quadrilateral A, B, C, and X (being X the smallest angle)
Then angle A is 55 degrees larger than X , therefore we can write it as X+55
Angle B is 65 degrees larger than X , therefore we can write it as X+65
Angle C is 120 degrees larger than X , therefore we can write it as X+120
Then we know that the addition of all four angles of a quadrilateral must give 360 degrees , so we have:
X + X + 55 +X + 65 + X + 120 = 360
that is:
4 X + 240 = 360
4 X = 360 -240
4 X = 120
X = 120/4
X = 30 degrees
and the other angles are:
30 + 55 = 85 degrees
30 + 65 = 95 degrees
30 + 120 = 150 degrees
Name the sets of numbers to which
3/5
belongs
Answers
Answer:
Fractions , Rational numbers ,Real numbers
Step-by-step explanation:
-3/5 is arguably a real number
what number sets or set does 11 belong to?
Answers
Answer:
Prime number
Step-by-step explanation:
Because it cannot be be multiplied by any other number less then it.
Write the function g(x) as a transformation of the parent function
f(3) = |sc|, where the graph has been vertically compressed by a factor of
ş, shifted right 2 units, and shifted up 10 units.
A g(x) = 12 +2] +10
B g(x) = {\2 + 101 – 2
C g(x) = - +2] + 10
D g(x) = 42-2/+10
Answers
I NEED THIS ANSWER ASAP!!!! The height of tower A is 644 feet more than tower B. The two towers have a combined height of 1590 feet. What are the heights of each tower?
Answers
Answer: oop ;-;
Step-by-step explanation: We have two basic equations
A = B + 826 A is 826ft taller than B
A + B = 1516 Combined height is 1516 ft
Replace A with B+826 in 2nd equation and solve for B
B + 826 + B = 1516 Combine like terms
2B + 826 = 1516 Subtract 826 from both sides
2B = 690 Divide both sides by 2
B = 690/2
B = 345 ft
We know that A = B + 826 so you simply need to do
that addition to have the height of both towers.
the diagonal of a square is x what is the perimeter of the square
Answers
Answer:
2[tex]\sqrt{2}[/tex] x
Step-by-step explanation:
The diagonal divides the square into 2 right angles with legs s and hypotenuse x
Using Pythagoras' identity on one of the right triangles, then
s² + s² = x²
2s² = x² ( divide both sides by 2 )
s² = [tex]\frac{x^2}{2}[/tex] ( take the square root of both sides )
s = [tex]\sqrt{\frac{x^2}{2} }[/tex] = [tex]\frac{x}{\sqrt{2} }[/tex]
Thus
perimeter = 4s = 4 × [tex]\frac{x}{\sqrt{2} }[/tex] = [tex]\frac{4x}{\sqrt{2} }[/tex]
Multiply numerator/ denominator by [tex]\sqrt{2}[/tex]
perimeter = [tex]\frac{4x\sqrt{2} }{2}[/tex] = 2[tex]\sqrt{2}[/tex] x
What is this answer ?
Answers
Answer:
its a bit cut off can u add the whole screen pls
Step-by-step explanation:
Answer:
KL NM
Step-by-step explanation:
that is the answer
Sebastien hand-crafts circular braided rugs. The graph shows the prices of various sizes of his rugs. A customer ordered 3 identical rugs for a total of $1,350. Use the graph to determine the radius of each rug in the order. (Enter numerical answer only). Please help.
Answers
The correct answer is 6 ft
Explanation:
It is known the customer bought 3 identical rugs, which means the size and radio of each rug was the same. Moreover, the total this customer paid for the rugs was $1350, which is equivalent to $450 for each rug as $1350 ÷ 3 = $450.
Besides this, the black line in the graph shows at $450 (between 400 and 500 in the y-axis) the rugs have a ratio of 6 feet, which is shown in the x-axis as these two values intersect or align to form the black line. This means a carpet with a radius of 6ft costs $450, and therefore each of the rugs the customer bought had a radius of 6ft.
Solve in fraction form.
3
Angela has 7 cups of rice and she buys another 2 cup. How much rice does Angela have in all?
Answers
Answer:
Hey there!
Angela will have 7+2, or 9 cups of rice.
Let me know if this helps :)
Answer:
7/2
Step-by-step explanation:
An instructional video is 1.8 minutes long. How long is the video in seconds? How long is it in hours?
Answers
Answer:
108 seconds and 0.03 hours
The members of a cooking club are making cakes, which they will sell at a street fair for $9 apiece. It cost $50 for a booth at the fair, and the ingredients for each cake cost $4. At some point, the club members will sell enough cakes so that their sales cover their expenditures. How much will the sales and expenditures be?
Answers
Answer:
Sales= $90
Expenditures= $90
Step-by-step explanation:
The members of a cooking club are making cakes.
The cakes will be sold at a street fair price of $9 for each cake.
It cost $50 for a booth at the fair.
The ingredients for each cake cost $4
Let y represent the number of cakes that was sold
Since the price of each cake is $9 then,
Sales = $9y
Since the booth cost $50 and ingredients cost $4 then,
Expenditures = $50 + $4y
Sales = Expenditures
9y= 50 + 4y
Collect the like terms
9y-4y= 50
5y= 50
Divide both sides by the coefficient of y which is 5
5y/5= 50/5
y= 10
Sales= 9×10
= $90
Expenditures= $50 + 4(10)
= $50+$40
= $90
Hence the sales is $90 and the expenditures is $90
Simplify the algebraic expression. (m - 7) + 5(m - 3)
Answers
Answer:
6m -22
Step-by-step explanation:
(m - 7) + 5(m - 3)
= m - 7 + 5m - 15
= 6m -22
Answer: 6m-22
Step-by-step explanation:
Given
(m-7)+5(m-3)
Take off parentheses/distributive property
= m-7+5m-15
Move like terms together
=m+5m-7-15
Combine like term
=6m-22
Hope this helps!! :)
Please let me know if you have any question
Which table represents a linear function? sorry im dumb ;w;
Answers
Answer:
Your answer is the third option
A linear function has to be added or subtracted by the same number every time. The independent variable is x and the dependent variable is y.
So for side "x" 1 is being added to each number and for side "y" is being subtracted by 2
You have r red balls, w white balls in a bag. If you keep drawing balls out of the bag until the bag now only contains balls of a single color (ie you run out of a color) what is the probability you run out of white balls first
Answers
Answer:
[tex] \frac{w}{w + r} [/tex]
Given g(x) = x2-4
Find g(-3)
Answers
Answer:
-10
Step-by-step explanation:
g(-3)=3×3 -4
=9-4
=5
Answer: 5
Step-by-step explanation:
g(x)=x²-4
g(-3)=(-3)²-4
g(-3)=9-4
g(-3)=5
Hope this helps!! :)
Please let me know if you have any question or need any further explanation
You have to simplify this expression.
-2x+3-(5-6x)
Answers
Answer:
4x−2
Step-by-step explanation:
Answer:
4x -2
Step-by-step explanation:
-2x+3-(5-6x)
Distribute the minus sign
-2x+3-5+6x
-2x+6x +3-5
4x -2
Deshaun and Isabel each have opened a savings account today. Deshaun opened her account with starting amount of $590 and she'll take out $35 each month Isabel opened here with a start of $790 and she'll take out $55 per month (A) For each account write an expression for the amount of zkids in the account after x months (B) Write an equation to show when the two accounts would have the same amount of money
Answers
Answer:
Deshaun = $590 - $35x
Isabel : $790 - $55x
$590 - $35x = $790 - $55x
Step-by-step explanation:
For Deshaun :
Amount in her account = $590
Amount she would have withdrawn by month x = $35 × x = $35x
The amount she would have in her account = $590 - $35x
For Isabel :
Amount in her account = $790
Amount she would have withdrawn by month x = $55 × x = $55x
The amount she would have in her account = $790 - $55x
Let x be the time when the money in their account would be equal =
$590 - $35x = $790 - $55x
Prove theorems about triangles examine each triangle
Answers
Answer:
not possible
Step-by-step explanation:
[tex]a^{2} + b^{2} = c^{2}[/tex]
25 + 196 = 400
221=400
What is the meaning of the
word arch"
Answers
50 divided by a number y
Answers
Which is the better buy, 6 bagels for $3.29 or 8 bagels for $4.15? Justify your answer by giving the cost per bagel for each offer in order to get full credit.
Answers
ex. 3.29/6= 0.5483 = 0.55
Answer: The better buy would be 8 bagels for $4.15
explanation: If you were to buy 6 bagels for $3.29, It would be about $.54 per bagel. but if you were to buy 8 bagels for $4.15, it is about about $.52 per bagel which makes it a better deal.
The length of a rectangle is 2 m more than twice its width. Find the length and width of the rectangle, if its perimeter is 28 m.
Please use algebra.
Answers
Answer:
Length is 10
Width is 8
Step-by-step explanation:
The formula for the perimeter of a rectangle is:
[tex]P=2l+2w[/tex]
We are told that the length l is 2 more than twice the width w. In other words:
[tex]l=2+2w[/tex]
Also, we are given that the perimeter is 28. Therefore:
[tex]P=2l+2w\\28=2(2+2w)+2w[/tex]
Distribute:
[tex]28=4+4w+2w[/tex]
Combine like terms:
[tex]28=4+6w[/tex]
Subtract 4 from both sides:
[tex]6w=24[/tex]
Divide by 6:
[tex]w=4[/tex]
So, the width is 4.
And the length is 2 more than twice the width. Thus:
[tex]l=2+2(4)\\l=2+8=10[/tex]
The length is 10.
And we are done :)
Match the statement to the property it shows.
If MN = XY, and XY = AB, then MN = AB.
If AB = CD, then CD = AB.
Segment CD is congruent to segment CD.
Answers
Answer:
If MN = XY, and XY = AB, then MN = AB. Transitive Property
If AB = CD, then CD = AB. Symmetric Property
Segment CD is congruent to segment CD. Reflexive Property
Step-by-step explanation:
Transitive property states that for all reall numbers a, b, and c, if a = b, b = c, then a = c.
Symmetric Property states that for all real numbers a and b, if a = b, then b = a.
Reflexive Property states that for every real number a, a=a
1. Transitive property
2. Symmetric property
3. Reflexive property
What are equivalence properties ?The equivalence properties are Reflexive property, Symmetric property & Transitive property.
Reflexive Property : For every real number a, a=a
Symmetric Property : For real numbers a & b, if a=b then b=a
Transitive Property : For real numbers a, b, c, if a=b & b=c then a=c
What are the perfect matches ?1. If MN = XY, and XY = AB, then MN = AB ⇒ Transitive property
2. If AB = CD, then CD = AB ⇒ Symmetric property
3. Segment CD is congruent to segment CD ⇒ Reflexive property
Learn more about equivalence properties here :
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6. Write 1.12 repeating as a mixed number.
Answers
Answer:
3
1 -----
25
Step-by-step explanation: