If the units for x are years, and x = 5 represents the year 2015, what is the y-value for 2010?
Answers
Given:
The given graph passes through the points (-3,4) and (3,2)
The x - axis represents the years. The value x = 5, year 2015.
We need to determine the y - value for 2010.
Slope:
The slope of the line can be determined using the formula,
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Substituting the points (-3,2) and (3,2), we get;
[tex]m=\frac{2-4}{3+3}[/tex]
[tex]m=\frac{-1}{3}[/tex]
Thus, the slope of the line is [tex]m=\frac{-1}{3}[/tex]
y - intercept:
The y - intercept in the graph is the point in the line that crosses the y - axis.
Thus, from the graph, it is obvious that the y - intercept is b = 3.
Equation of the line:
The equation of the line can be determined using the formula,
[tex]y=mx+b[/tex]
Substituting the values, we have;
[tex]y=-\frac{1}{3}x+3[/tex]
Thus, the equation of the line is [tex]y=-\frac{1}{3}x+3[/tex]
The y - value for 2010:
Since, it is given that x = 5 represents 2015 and 2010 is 5 years before 2010.
Hence, the value of x for 2010 is given by
[tex]x=5-5=0[/tex]
Thus, x = 0 represents the year 2010.
To determine the y - value, let us substitute x = 0 in the equation [tex]y=-\frac{1}{3}x+3[/tex], we have;
[tex]y=-\frac{1}{3}(0)+3[/tex]
[tex]y=3[/tex]
Thus, for 2010 the value of y is 3.
Related Questions
Which graph represents the circle (x + 2)2 + (y - 3)2 = 25?
Answers
Answer:
the center is (-2,3)
Step-by-step explanation:
The required graph that represents circle (x + 2)² + (y - 3)² = 25 is given below in the image.
graph represents the circle (x + 2)2 + (y - 3)2 = 25 to determine.
The area of the circle is given by the pie times square of the radius.
Area of circle = πr^2
Standard form of the equation of circle = ( x - h ) ²+ ( x - y )² = r²
Where r is the circle's radius and h and k is the circle's center.
Given equation of the circle = (x + 2)² + (y - 3)² = 25
where center is ( -2, 3 )
radius r = √25 = 5
While plotting a circle on a graph marks the center at ( -2, 3 ) radius. and draw the circle of radius 5 around the center ( -2, 3 ). The result is shown in the image.
Thus, the required graph that represents circle (x + 2)² + (y - 3)² = 25. is given below in the image.
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The length of a rectangular field is represented by the expression "". The width of the field is represented by the expression "". How much greater is the length of the field than the width?
Answers
Answer:
The answer is A. 9x +4x^2 -5y
Step-by-step explanation:
In order to find the difference, subtract each terms.
in order for 5x to get to 14x you have to +9x
in order for -7x^2 to get to -3x^2 you have to +4x^2
and last, in order for 7y to get to 2y, you have to -5y
Hope it helps!
Answer:
The answer is A.
Step-by-step explanation:
Please help fast will mark 5 stars
Answers
Answer:
1 solution
Step-by-step explanation:
The lines intersect 1 time
Answer:
1 solution
Step-by-step explanation:
The intersection is the one solution.
A circular plate has circumference 23.9 inches. What is the area of this plate?
Answers
Answer:
Rounded to the nearest thousandth: ≈45.479
Step-by-step explanation:
The formula for finding area using circumference is
[tex]\frac{c^2}{4\pi }[/tex]
c=23.9"
[tex]\frac{23.9^2}{4\pi }[/tex]
Since we're using 3.14 for pi, multiply 4 by 3.14, and continue from there.
[tex]\frac{23.9^2}{4(3.14)} = \frac{571.21}{12.56} = 45.47850318[/tex]
but we don't use that big number! We round to the nearest thousandth!
≈45.479
Answer:
46 inches^{2}
Step-by-step explanation:
The formula for the area of a circle is [tex]\pi r^{2}[/tex]
To work this out you would first need to divide 23.9 by pi to find out diameter.
Then you would divide the diameter by 2 to find the radius. Then you would multiply pi by the radius squared.
1) Divide 23.9 by [tex]\pi[/tex].
[tex]23.9/\pi=7.608[/tex]
2) Divide 7.608 by 2.
[tex]7.608/2=3.804[/tex]
3) Multiply pi by the radius squared.
[tex]\pi *3.804^{2} =45.4601526[/tex]
4) Round To nearest whole number.
[tex]46 inches^{2}[/tex]
i need help with this question i don’t understand it
Answers
Answer:
its pi just multiply the sun designs
Step-by-step explanation: if more info needed just reply to this
What value is 1/3 (4a + 1) = 1/2a
Answers
Answer:
a = -2/5 = -0.400
Step-by-step explanation:
Huilan is years younger than Thomas. The sum of their ages is 81. What is Thomas's age?
Answers
Answer:
Step-by-step explanation:
Let x = the age of Thomas
Let x + 6 = the age of Huilan
x + x + 6 = 70
2x + 6 = 70
2x = 64
x = 32 years
x+6 = 38 years
Point P partitions the directed line segment from A to B into the ratio 3:4. Will P be closer to A or B? Why
Answers
Final answer:
Point P will be closer to B than to A because the ratio of the partition is 4/7 which is closer to B than the ratio of 3/7 to A.
Explanation:
To determine whether point P will be closer to A or B, we need to consider the ratio of the partition. In this case, the ratio is 3:4. This means that the segment from A to P is 3/7 of the total segment, and the segment from P to B is 4/7 of the total segment.
Since the ratio of the partition is closer to B (4/7) than to A (3/7), point P will be closer to B than to A.
For example, if the distance from A to B is 7 units, the distance from A to P will be 3 units (3/7 * 7) and the distance from P to B will be 4 units (4/7 * 7).
If point P partitions the directed line segment from A to B into the ratio 3:4, then P will be closer to A. The ratio 3:4 means that the segment AP is 3 parts long while segment PB is 4 parts long, making PB longer than AP. The entire segment AB is therefore divided into 7 equal parts, with point P falling 3/7 of the distance from A and 4/7 from B. Since 3/7 is less than 4/7, P is closer to A.
The results of a survey indicate 50% of seventh-graders watch at least one movie
during the weekend. Based on this survey of a group of 50 seventh-graders, how
many will watch at least one movie this weekend?
Answers
Answer:
25 students
Step-by-step explanation:
50% of 50 is 25
50/2 = 25
Answer:25
Step-by-step explanation:
The total number of children is 50
So 50%of50children is
50/100×50=2500/100
=25
A survey of a group of seventh graders and a group of teachers at a local middle school asked how many siblings they each have. The dot plots below show the results. Students A dot plot titled Students. A number line going from 0 to 9 labeled number of siblings. There are 2 dots above 0, 4 above 1, 7 above 2, 5 above 3, 2 above 4, and 0 above 5, 6, 7, 8, and 9. Teachers A dot plot titled Teachers. A number line going from 0 to 9 labeled Number of siblings. There is 1 dot above 0, 3 dots above 1, 2 above 2, 4 above 3, 5 above 4, 3 above 5, 1 above 6, 0 above 7, 1 above 8, and 0 above 9. Which compares the modes of the data? The mode for the students is 2 and the mode for the teachers is 4. The mode for the students is 0 and the mode for the teachers is 1. The mode for the students is 4 and the mode for the teachers is 8. The mode for the students is 2 and the mode for the teachers is 1.
Answers
The correct option is The mode for the students is 2 and the mode for the teachers is 4.
To determine the mode of a data set, one must identify the number(s) that appear most frequently. In the dot plot for the students, the number of siblings that appears most frequently is 2, as there are 7 dots above the number 2 on the number line. This makes 2 the mode for the students' data.
For the teachers' data, the number of siblings that appears most frequently is 4, with 5 dots above the number 4 on the number line. Therefore, 4 is the mode for the teachers' data.
Comparing the modes of the two data sets, we have:
- Mode for students: 2
- Mode for teachers: 4
The other options provided do not accurately reflect the modes of the data sets based on the given dot plots.
find the value of c so that (x+2) is a factor of the polynomial p(x). p(x)=4x^3+cx^2+x+2
Answers
Answer:
c = 8
Step-by-step explanation:
Use synthetic division here; it's the fastest approach.
Given that (x + 2) is a factor, take -2 and use this as the divisor in synthetic division:
-2 4 c 1 2
-8 (-2c+ 16) (4c-34)
---------------------------------------------
4 (c - 8) (-2c + 17) 4c - 32
The remainder, 4c - 32, must equal zero if (x + 2) is a factor.
Then 4c - 32 = 0, and c = 8
Answer:
Altavistard is right, the answer is 8
Step-by-step explanation:
go look at altavistard...
which table represents a function? Help plz
Answers
Answer:
Top left box
Step-by-step explanation:
In a function the values cannot repeat
Which prism has a volume of 5 cubic units?
1 and one-half units by 3 units by 1 unit
2 units by 2 units by 1 and one-half-units
1 and one-fourth units by 4 units by 1 unit
2 units by 1 unit by 2 units
Answers
Answer:
Step-by-step explanation:
5=1 1/4*4*1=1.25*4*1
so 1 and one fourth units by 4 units by 1 unit
The prism has a volume of 5 cubic unit is option (C) [tex]1\frac{1}{4}[/tex] unit, 4 unit and 1 unit
What is Volume?Volume is a scalar quantity expressing the amount of three-dimensional space enclosed by a closed surface
What is Prism?A prism is a polyhedron comprising an n-sided polygon base, a second base which is a translated copy of the first, and n other faces, necessarily all parallelograms, joining corresponding sides of the two bases.
Here,
Volume of prism = l × w × h
Option 1
Volume = [tex](1\frac{1}{2})(3)(1) =\frac{9}{2}[/tex] cubic units
Option 2
Volume = [tex](2)(2)(1\frac{1}{2})=6[/tex] cubic units
Option 3
Volume = [tex](1\frac{1}{4})(4)(1)=5[/tex] cubic units
Option 4
Volume = [tex](2)(1)(2)=4[/tex] cubic units
Hence, The prism has a volume of 5 cubic unit is option (C) [tex]1\frac{1}{4}[/tex] unit, 4 unit and 1 unit
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The student council spent $187.55 for their dance. Advance tickets brought in $202.75, and door sales totaled $116. About how much profit did the student council realize?
Answers
Total earned: $318.55
We get the total earned by adding $202.75 from the advanced ticket profit and $116 from the sales total profit.
$202.55+$116=$318.75
From there we take the total earned, $318.75 and subtract it from what they initially spent, $187.55
$318.75-$187.55=$131.02
The total profit they made that day marks up to $131.02
Estimate a 15% tip on a dinner bill of $38.43 by first rounding the bill amount to the nearest ten dollars.
Answers
Answer:
$6
Step-by-step explanation:
First round up to $40 and then (40/100)*15 = 6
Which value of b would make x²+bx-30 factorable?
A. -31
B. -17
C. 11
D. 13
Answers
Answer:
D. 13
Step-by-step explanation:
well since it's a quadratic equation, it can be written in the form of ax²+bx+c=0. So we have a=1, b=b and c= -30. Also the roots are given by the equation-
x= -b±[tex]\sqrt{b^{2}-4ac}[/tex] /2a. So all I did was put the number from the choices which would satisfy the sqrt part and that turned out to be 13 since [tex]\sqrt{13^{2}-4*1*(-30)[/tex] = [tex]\sqrt{289}[/tex] = 17. So b=13.
An electronics store sends an email survey to all customers who bought tablets. The previous month, 570 people bought tablets. Surveys were sent to 300 of these people, chosen at random, and 138 people responded to the survey. Identify the population and the sample.
Group of answer choices
The population is 570. The sample is 138.
The population is 570. The sample is 300.
The population is 300. The sample is 138.
The population is 138. The sample is 570.
The population is 138. The sample is 300.
Answers
The population is the entire group of customers who bought tablets, totaling 570 people. The sample is the subset of 300 customers who were randomly chosen to receive the survey.
Explanation:In the given scenario, an electronics store has conducted a survey among its customers who purchased tablets. To identify the population and the sample in this context, we look at the definitions of each term. The population is the entire group that is the focus of the study, while the sample is a subset of the population that is surveyed to represent the whole.
The population in this case includes all the customers who bought tablets during the previous month, which totals to 570 people. The sample is the group of customers who were selected to receive the survey. Since surveys were sent to 300 of these customers at random, the sample size is 300.
Therefore, the correct identification is: The population is 570. The sample is 300.
what are dependent events
Answers
Answer:
dependent events are if the outcome of one event affects the outcome of another
In the diagram below, point U is on segment $\overline{BY}$ and the measure of angle BUG is 30 degrees greater than the measure of angle GUY:
Answers
Answer: 75
Step-by-step explanation:
We have angle BUG angle GUY = angle BUY = 180. If we let angle GUY = x, then
(x+30) + x = 180 Solving this equation gives x=75.
Using the definition of linear pair angles, the measure of angle GUY is: 75°.
What is a Linear Pair?A linear pair are two angles on a straight line whose sum equals 180 degrees.
Thus:
m∠BUG = m∠GUY + 30°
Therefore:
m∠BUG + m∠GUY = 180°
Substitute
m∠GUY + 30 + m∠GUY = 180 (linear pair)
2(m∠GUY) + 30 = 180
2(m∠GUY) = 180 - 30
2(m∠GUY) = 150
m∠GUY = 150/2
m∠GUY = 75°
Therefore, using the definition of linear pair angles, the measure of angle GUY is: 75°.
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A triangle has side lengths of 14 cm and 6 cm. Which could be the value of the third side, 27cm or 17cm
Answers
Answer:
17
Step-by-step explanation:
i think it was like the hypotenuse should be shorter than the other two sides sum.
Problem
A knitting pattern for a shawl calls for 8
stitches in the first row. Each row after that
has 2 more stitches than the previous row.
The explicit rule ax = 8 + (k − 1)2 gives the
number of stitches in the nth row row.
Answers
Answer:
The n row has [tex]2n+6[/tex] stitches.Step-by-step explanation:
The given expression is
[tex]a_{k}=8+(k-1)2[/tex]
Where [tex]d=2[/tex] and [tex]a_{1}=8[/tex].
The number of stitches in the n row are expressed as
[tex]a_{n} =8+2n-2\\a_{n} =2n+6[/tex]
Therefore, the n row has [tex]2n+6[/tex] stitches.
Notice that the result is an expression, that is beacuse the problem is asking for a general solution, it's asking for the n row, which refers to certain row in general terms.
Answer:
1st question: C
2nd : 8
3rd : 46
4th : 540
show all work 8x+38=-3(-6-4x)
Answers
8x - 12 = 18 - 38
-4x = -20
x = 5
Please answer this correctly
Answers
Answer:
3 PM
Step-by-step explanation:
1.30 + .30 + 1 =
3
Answer:
3:00 pm
Step-by-step explanation:
Time spent video games 30 minutes
Time spent homework 1 hour
Total time 1 hour 30 minutes
Starting at 1 :30
Add 1 hour 30 minutes
1:30
+1:30
--------------
2:60
But 60 minutes is 1 hour so change the 60 minutes to 0 and add 1 hour
3:00
We started at pm we did not pass over 12 so we are still at pm
3:00 pm
Members of the pep club were selling raffle tickets for $1.50 and $5. The number of $1.50 tickets sold was two less than four times the number of $5 tickets sold, and the club raised $1,152 from the ticket sales. Let x represent the number of $1.50 tickets sold and let y represent the number of $5 tickets sold. Solve the system of equations to determine how many of each ticket were sold. 1.5x + 5y = 1152
x = 4y – 2
Which one-variable linear equation can be formed using the substitution method?
How many $5 raffle tickets were sold?
Which equation can be used to determine how many $1.50 raffle tickets were sold?
How many $1.50 raffle tickets were sold?
Answers
Answer:
see below
Step-by-step explanation:
1.5x + 5y = 1152
x = 4y – 2
We can substitute the second equation into the first equation
Which one-variable linear equation can be formed using the substitution method?
1.5(4y-2) +5y = 1152
Distribute
6y -3 +5y = 1152
Combine like terms
11y-3 = 1152
Add 3 to each side
11y-3+3 = 1152+3
11y = 1155
Divide each side by 11
11y/11 = 1155/11
y = 105
How many $5 raffle tickets were sold?
105 5 dollar tickets were sold
Now we need to find the number of 1.50 tickets
Which equation can be used to determine how many $1.50 raffle tickets were sold?
x = 4y – 2
x = 4(105) -2
=420-2
= 418
How many $1.50 raffle tickets were sold?
418 $1.50 tickets were sold
Answer:
11y = 1155
$5 raffle tickets: 105
x = 4(105) - 2
$1.5 raffle tickets: 418
Step-by-step explanation:
1.5x + 5y = 1152
x = 4y – 2
1.5(4y - 2) + 5y = 1152
6y - 3 + 5y = 1152
11y = 1155
y = 105
x = 4(105) - 2
x = 418
(5 + 4 – 2) × (–2) = ?
Question 7 options:
A)
–22
B)
–14
C)
22
D)
14
Answers
Answer:
B. -14
Step-by-step explanation:
(5 + 4 – 2) × (–2)
7x(-2)
=-14
solve this equation 8-x2= -17
Answers
Answer:
x=25/2
Step-by-step explanation:
8-2x-8=-17-8
-2x=-25
-2x/2= -25/2
Answer:
x=5 or x=−5
they both work
The interquartile range is equal to what?
Answers
Answer:
Q3-Q1
Step-by-step explanation:
you are subtracting the highest and lowest values of a specific part of a set of numbers to get the range of a part of data
When working with rational expressions, restricted values are values of your variable that results in an undefined rational expression. Given the following rational expressions: 2x+4/x^2−x−6 and 2/x−3 Determine whether the rational expressions are equivalent and explain your answer. Determine the values that would make the rational expressions undefined. Are these values the same or different? Explain.
Answers
Answer:
See below
Step-by-step explanation:
2x+4 / x^2-x-6
= 2(x+2)/(x-3)(x+2)
= 2/(x-3)
So the 2 expressions are equivalent
The values of x which make the expressions undefined are those values which make the denominators 0
For 2x+4/ x^2-x-6 they are X=3 and x= -2.
For 2/x-3 they are x =3.
My co-worker Larry only likes numbers that are divisible by 4, such as 20, or 4,004. How many different ones digits are possible in numbers that Larry likes?
Answers
Answer:
7
Step-by-step explanation:
0, 1, 4, 8, -1, -4, and -8 can be divisable by 4
Is x greater than,less than, or equal to 43
Answers
Answer: Equal
Step-by-step explanation: Brainiest answer pls
Answer:
ever so slightly greater than
x > 43
Step-by-step explanation:
hope this helped! :D
brainliest?