4.
Is the relationship shown by the data linear? If so, model the data with an equation.
A. The relationship is linear; y + 2= -5/4(x + 9).
B. The relationship is not linear.
C. The relationship is linear; y + 2= 4/5(x + 9).
D. The relationship is linear; y + 9= -4/5(x + 2).
Answers
Answer:
D. The relationship is linear; y + 9= -4/5(x + 2).
Step-by-step explanation:
yes its linear because the x values increase by a constant value 4 and the y values by a constant value -5.
one general form for a linear equation is
y - y1 = m(x - x1) m = slope and (x1,y1) is a point on the line
from the data the slope iis (-7-(-2)) / (-5-(-9) = -5 / 4
so using the point (3, -17):-
y - (-17) = (-5/4) ( x - 3)
y + 17 = -5x/4 + 15/4
4y + 68 = -5x + 15
4y = -5x - 53
thats the equation of the line
Related Questions
Find the next three terms of the arithmetic sequence.
10, 13, 16, 19
Answers
Answer:
22, 25, 28
Step-by-step explanation:
10 + 3 = 13
13 + 3 = 16
16 + 3 = 19
19 + 3 = 22
22 + 3 = 25
25 + 3 = 28.
all numbers go up by three points
20.
The total cost of 3 apples and 4 pears is £1.84
The total cost of 5 apples and 2 pears is £1.76
Work out the cost of one apple and the cost of one pear.
Answers
Answer:
an apple costs 0.24 and a pear costs 0.28
Step-by-step explanation:
3a + 4p = 1.84 3a + 4p = 1.84
-5a + 2p = 1.76 m(-2) -10a - 4p = -3.52
3a + 4p = 1.84
+ -10a - 4p = -3.52
-7a = -1.68
a = -1.68/-7
a = 0.24
3a + 4p = 1.84
3(0.24) + 4p = 1.84
0.72 + 4p = 1.84
4p = 1.84 - 0.72
4p = 1.12
p = 0.28
The cost of an apple is £0.24 and the cost of pear is £0.28
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
Let a represent the cost of one apple and p represent the cost of one pear.
Then the system of equation will be;
3a + 4p = 1.84
-5a + 2p = 1.76 m(-2)
-10a - 4p = -3.52
Solving both the equation;
-7a = -1.68
a = -1.68/-7
a = 0.24
For solving p;
3a + 4p = 1.84
3(0.24) + 4p = 1.84
0.72 + 4p = 1.84
4p = 1.84 - 0.72
4p = 1.12
p = 0.28
Hence, the cost of an apple is £0.24 and the cost of pear is £0.28
Learn more about equations here;
https://brainly.com/question/10413253
#SPJ2
Evaluate the expression when a = -3 and c=4. a-3c
Answers
Answer:
Step-by-step explanation:
c=1/4(A-3c)
4c = A-3c
7c = A
c = A/7
-3-12=-15
Answer: -15
Hope this helps!
1.4×10−5 and 2.8×10−4
Answers
Answer:
1 : 9
2 : 24
Step-by-step explanation:
Answer:
9 < 24
Step-by-step explanation:
1.4 x 10 = 14
14 - 5 = 9
2.8 x 10 = 28
28 - 4 = 24
I am assuming this is an inequality.
Hope This Helps!
Ted needs an average of at least 70 on his three day history tests. He has already scored 80 and 60 on two tests. What is the minimum grade Ted needs on his third.
Thank you for your assistance
Answers
Answer:
Step-by-step explanation:
To solve, we first need to know how to find the average of a group of numbers. To find the average of a group of numbers, you add all the numbers together and divide that answer by the number of numbers you have. For instance, to find the average of 1, 2, 3, 4 and 5, we would add all the numbers together, which would equal 15. We would then divide that number by 5, because there are 5 numbers total: 15/5 = 3. So the average is 3.
Now, to find the average in your problem, we need to look at what we know:
He received an 85 and 60 on two of the test scores
He needs an overall average of 70
Let's set this up in equation form:
%2885+%2B+60+%2B+x%29%2F3+%3E=+70
Now, let's get rid of our fraction on the left. We can do this by multiplying the entire equation by 3, giving us:
85 + 60 + x >= 210
Next, combine the numbers on the left, which will give us:
145 + x >= 210
Finally, subtract 145 from both sides, which will give us our answer:
145 + x - 145 >= 210 - 145 =
x >= 65
So, in order to average at least 70, he must score a 65 or higher on his third test.
2x - 5y = 10
That is my question help please
Answers
Answer:
answer is 27 trust me. I can't explain step by step so please trust ma ans is27
What is the mean for the data shown in the line plot? please help fast!
a. 10
b. 6
c. 4
d. 5
Answers
Answer:
D. 5
Step-by-step explanation:
read each number from the plot. remember each x represents one number so there are 11 numbers. you divide it then it gives you 5
Answer: The answer is 6
Hopefully, this is correct!
Select all of the number of ways in which a line
and a circle can intersect.
Answers
Answer:
0, 1, and 2
This is the answer
S
S
S
S
S
S
Sms
S
Directions: Solve each of the following problems. Show your solution. (5 points each)
1. Bailey’s rectangular dog pen for his Irish setter must have an area of 400 square feet.
Also ,the length must be 10 feet longer than the width. Find the dimension of the pen.
Answers
Answer:
400=(×+20)× is the equation or
400=×^2+20×
(×+10)= square root of 500
×+10=10 radical 5
final answer -10 + or - 10 radical 5=×
Solve the following equation for v in terms of all other variables involved.
2(v-h)/k=r
Answers
Answer:
[tex]v = \frac{rk}{2} + h[/tex]
Step-by-step explanation:
Given the equation, [tex]r = \frac{2(v - h)}{k}[/tex], in order to solve for v:
Start by multiplying both sides by k:
[tex](k)r = \frac{2(v - h)}{k} (k)[/tex]
rk = 2(v - h)
Divide both sides by 2:
[tex]\frac{rk}{2} = \frac{2(v-h)}{2}[/tex]
[tex]\frac{rk}{2} = v - h[/tex]
Add h to both sides to isolate v :
[tex]\frac{rk}{2} + h = v - h + h[/tex]
[tex]\frac{rk}{2} + h = v[/tex]
Fatima conducted an experiment where she asked people to estimate the temperature of glasses of water. She recorded how far the estimates were from the actual temperatures, using positive values for guesses that were too high and negative values for guesses that were too low. Her results are in the table below.
Estimate -−minus actual temperature (\degree\text{C})(°C)left parenthesis, degree, start text, C, end text, right parenthesis
Person A Person B Person C
-3−3minus, 3 444 888
-1−1minus, 1 -4−4minus, 4 -2−2minus, 2
000 222 555
222 -3−3minus, 3 111
What is the mean value in Fatima's results?
Answers
The mean value is the sum of the temperature values divided by the total frequency. Hence, the mean value in Fatima's temperature result is -0.75°C
Given the data :
Person 1 :
-3, - 1, 0, 2, Sum = (-3 + (-1) + 0 + 2) = - 2Person 2 :
4, -4, 2, - 3 Sum = (4 + (-4) + 2 + (-3)) = - 1Person 3 :
8, - 2, 5, 1Sum = (8 + (-2) + 5 + 1) = 12Mean value = (Total sum ÷ Frequency)
Mean value = [(-2 + (-1) + 12) ÷ 12]
Mean value = - 9 ÷ 12 = - 0.75
Therefore, the mean value of the result is 0.75°C
Learn more : https://brainly.com/question/25242892
The SAT is the most widely used college admission exam. (Most community colleges do not require students to take this exam.) The mean SAT math score varies by state and by year, so the value of µ depends on the state and the year. But let’s assume that the shape and spread of the distribution of individual SAT math scores in each state is the same each year. More specifically, assume that individual SAT math scores consistently have a normal distribution with a standard deviation of 100. An educational researcher wants to estimate the mean SAT math score (μ) for his state this year. The researcher chooses a random sample of 656 exams in his state. The sample mean for the test is 480.
Find the 95% confidence interval to estimate the mean SAT math score in this state for this year.
(Note: The critical
z
-value to use,
z
c
, is: 1.960.)
( , )
Answers
Using the z-distribution, it is found that the 95% confidence interval to estimate the mean SAT math score in this state for this year is (472, 488).
We have the standard deviation for the population, which is why the z-distribution is used to solve this question.
The sample mean is [tex]\overline{x} = 480[/tex].The population standard deviation is [tex]\sigma = 100[/tex].The sample size is [tex]n = 656[/tex].The interval is given by:
[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]
We have to find the critical value, which is z with a p-value of [tex]\frac{1 + \alpha}{2}[/tex], in which [tex]\alpha[/tex] is the confidence level.
In this problem, [tex]\alpha = 0.95[/tex], thus, z with a p-value of [tex]\frac{1 + 0.95}{2} = 0.975[/tex], which means that it is z = 1.96.
Then:
[tex]\overline{x} - z\frac{\sigma}{\sqrt{n}} = 480 - 1.96\frac{100}{\sqrt{656}} = 472[/tex]
[tex]\overline{x} + z\frac{\sigma}{\sqrt{n}} = 480 + 1.96\frac{100}{\sqrt{656}} = 488[/tex]
The 95% confidence interval to estimate the mean SAT math score in this state for this year is (472, 488).
A similar problem is given at https://brainly.com/question/22596713
HURRY!!!!
A line with a slope of 5 passes through the points (4,5) and (5,u) What is the value of u?
Answers
Answer:
See Below
Step-by-step explanation:
Slope is rise over run.
Rise is the difference in the y values
Run is the difference in the x values.
Rise/Run = 5 (slope)
You have both x values 4 from one point and 5 from the other point so the difference is 1. The Run is equal to 1
So you now have Rise / 1 = 5
The first y value you have is 5 and based on (rise/1 = 5), you know the difference in the y values must equal 5. That means the other y value has to be either 10 or 0.
0 will not work because that would make the slope negative since the line would slope downward from left to right.
5(+25)=875
lets see who will get it right
Answers
Answer:
X = 150
Step-by-step explanation:
In pic
(Credits: Symbolab)
(Hope this helps can I pls have brainlist (crown)☺️)
Answer:
X=150
Step-by-step explanation:
What is the slope passing through the points (11,-5) and (1,20)
Answers
Answer:
-2.5 or -5/2
Step-by-step explanation:
To find the slope we need to find the change in y and divide it by the change in x:
m = change in y ÷ change in x
m = (-5 - 20) ÷ (11 - 1)
m = 25 ÷ -10
m = -2.5 or -5/2
Hope this helps!
On this math problem please help me
Answers
Answer:
98.25 M/s
Step-by-step explanation:
Starting at (0,0) if you were to go 8 units down and 10 units left what coordinates
would you end up at? What quadrant would you be in?
Answers
Answer:
(-10, -8), third quadrant
Step-by-step explanation:
8 down from (0, 0) is the same as subtracting 8 from the y coordinate → (0, -8). 10 left from (0, -8) is the same as subtracting 10 from the x coordinate → (-10, -8). You would be in the third quadrant where both coordinates are negative.
Hope this helps!
which company offers the best deal?why?
Answers
Answer:
where question？
Step-by-step explanation:
i dont know the question it cant be solve
Answer:
I don't see the question. it cannot be solved
Juna travels 15 mph for 10 hours find the distance piles per hour
Answers
Answer:2 hours 15 mins = 2 1/4 hours
2 1/4 hours = 25 miles
1 hour = 25 ÷ 2 1/4 = 25 ÷ 9/4 = 25 x 4/9 = 11.1 miles
Answer: 11.1 mph
Step-by-step explanation:
Determine the sum of the following series. ∑n=1[infinity](4^n+8^n/13n)
Answers
find dy/dx using implicit differentiation
cos x + sin y = 1
Answers
Differentiate both sides with respect to x, using the chain rule for the sine term:
[tex]\cos(x) + \sin(y) = 1[/tex]
[tex]\implies -\sin(x) + \cos(y)\dfrac{\mathrm dy}{\mathrm dx} = 0[/tex]
Solve for dy/dx :
[tex]-\sin(x) + \cos(y)\dfrac{\mathrm dy}{\mathrm dx} = 0 \\\\ \cos(y) \dfrac{\mathrm dy}{\mathrm dx} = \sin(x) \\\\ \boxed{\dfrac{\mathrm dy}{\mathrm dx} = \dfrac{\sin(x)}{\cos(y)}}[/tex]
Find the sin, cod, tan, sec, and cot of the following triangle with the given information.
Answers
Answer:
cos o sin
Step-by-step explanation:
Giving right answer branleist
Answers
Answer:
12
Step-by-step explanation:
Since 1 unit is 1x1, we then you can just count the width (4, 4) and the height (2, 2). Then add all. Getting 12.
In the community raffle, Niko bought 50 tickets. The contest stated that 200 tickets were sold. What is the probability that one of his tickets will not be drawn?
Answers
50/200=.25 or 1/4
Evaluate 3215.
Enter your answer as a whole number
Answers
Answer:
3215
Step-by-step explanation:
There is no explanation
Go and increase you Intelligence
PLS HURRY AND HELP
Jermaine has experience as a math tutor. He earns money by tutoring his neighbors' children. He gets $20 for each student he tutors. If Jermaine does 10 groups of 2 students in one month, how much will Jermaine earn?
Answers
Answer:
$400 per month
Step-by-step explanation:
20 - per student
10 groups of 2,
so 20 students
20 * 20 = 400
$400
Answer:
$400
Step-by-step explanation:
10 groups of 2 students so multiply 10 by 2 to get the total of how many students so if he gets $20 per student you will multiply the number of students by the rate which is $20 giving a total of $400
how to expand (x+3)(x+4) into algebraic expression
Answers
Answer:
x²+7x+12
Step-by-step explanation:
x*x=x²
x*4=4x
3*x=3x
4x+3x=7x
3*4=12
=x²+7x+12=0
Answer: ^2 + 7 + 12
Step-by-step explanation:
(x + 4)(x + 4)
( + 4)+3( + 4)
( + 4)+3( + 4)
^2 + 4 + 3( + 4)
^2 + 4 + 3 + 12
^2 +7 +12
PLEASEEE HELP ME WHAT IS THE ANSWER!!
Answers
Answer:
Number 3 is correct.
129.19m
Step-by-step explanation:
You might be wondering how did I got 32⁰, well, that's because they are alternate angles.
Now, we're trying to find the opposite side of the triangle.
Using the laws,
we got cos32⁰=x/243.8
243.8cos32⁰=x
129.19⁰
Mark me as Brian list?
im confused so yea
help is requested
Answers
Answer:
really I am confused and you are putting this here
Answer:
h = g^2 f
Step-by-step explanation:
because it just is your welcome
write the equation
it has y-intercept -8 and x-intercept 2
Answers
Step-by-step explanation:
(x/2) +(y/-8)=1
[tex] \frac{x}{2} - \frac{y}{8} = 1[/tex]
well that is the equation
Answer:
y=(y/x+8/x) x-8
Step-by-step explanation: