9. Is the relationship shown by the data linear? If so, model the data with an equation.IXby-2|-7-9-5-13F-12-17The relationship is not linear.The relationship is linear, y + 2 = (x + 9).The relationship is linear, y + 9 = -(x + 2).---(x + 2).OThe relationship is linear, y + 2 = -(x + 9).2 )
Answers
Given:
Table having x and y values
To find:
If the table is a linear one and model the equation if it
For a table to be linear, the change in x values will be constant and the change in y values will also be constant.
change in x:
-5-(-9) = -5 +9 = 4
-1-(-5) = -1 + 5 = 4
change in y:
-7 - (-2) = -7+2 = -5
-17 - (-12) = -17 + 12 = -5
The change in x and change in y have a constant value.
Hence, the relationship is linear
From the option, the equation is written in point-slope form, so we will use the point-slope formula to get our equation
\(\begin{gathered} Point\text{ slope:} \\ $$y-y_1=m(x-x_1)$$ \end{gathered}\)To get the slope, we will pick any two points on the table. Using points (-9, -2) and (-5, -7)
\(\begin{gathered} slope\text{ = }m\text{ = }\frac{y_2-y_1}{x_2-x_1} \\ m\text{ = }\frac{-7-(-2)}{-5-(-9)} \\ m\text{ = }\frac{-7+2}{-5+9}\text{ = }\frac{-5}{4} \end{gathered}\)\(\begin{gathered} $$y-y_1=m(x-x_1)$$ \\ using\text{ point \lparen-9, -2\rparen: }x_1\text{ = -9, y}_1\text{ = -2} \\ \\ y\text{ - \lparen-2\rparen = }\frac{-5}{4}(x\text{ - \lparen-9\rparen\rparen} \\ \\ y\text{ + 2 = }\frac{-5}{4}(x\text{ + 9\rparen} \end{gathered}\)\(The\text{ relationship is linear; }y\text{ + 2 = }\frac{-5}{4}(x\text{ + 9\rparen \lparen last option\rparen}\)Related Questions
HELP ME ASAP PLS. If 19,432 divided by x equals 48 with a remainder of 232. What is X?
Answers
The value of x, given that when it divides a number, there is a quotient and a remainder, is 400
How to find the value of x?To find the value of divisor, we can use a variant of the division algorithm formula :
Divisor = ( Dividend - Remainder ) / Quotient
x is the divisor
Dividend = 19, 432
Remainder = 232
Quotient = 48
This means that the value of x is:
x = ( 19, 432 - 232 ) / 48
x = 19, 200 / 48
x = 400
In conclusion, x is 400.
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Help 20 points (show your work)
Answers
The measure of angle ADC in the geometric system is equal to 55°.
How to determine the value of an angle related to a geometric system
In this question we find a geometric system formed by a quadrilateral and an angle vertical to a vertex of the quadrilateral. Angle CDE is supplementary to angles EDF and ADC. Two angles are supplementary whose sum of measures equals 180°. Therefore:
m ∠ CDE + m ∠ EDF = 180°
(2 · x + 1) + (x - 7) = 180°
3 · x - 6 = 180°
3 · x = 186°
x = 62
m ∠ CDE = 2 · x + 1
m ∠ CDE = 2 · 62 + 1
m ∠ CDE = 125°
m ∠ ADC = 180° - 125°
m ∠ ADC = 55°
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Simplify using PEMDAS and logic, 1 step at a time. (3+7) x(2 x 3)
Answers
Answer:
60
Step-by-step explanation:
1. \((3 + 7) * (6)\)
2. \((10) * (6)\)
3. \(60\)
If Justin raves his Chevy Camaro south down 1-540 for 2560 meters in 60 seconds, what is his velocity?
Answers
What is the property of (4y + 1) x 0 =0
Answers
Answer: Zero Property
Step-by-step explanation:
McKenzie gets a base pay of 1,800 per month.She also earns 12% commission on the amount of car sales.If she sells 45,000 worth of cars how much money does she make in one month
Answers
9514 1404 393
Answer:
7,200
Step-by-step explanation:
McKenzie's commission for the month is ...
0.12 × 45,000 = 5,400
When that is added to McKenzie's base pay, she makes a total of ...
5,400 +1,800 = 7,200
McKenzie makes 7,200 in a month when she sells 45,000 worth of cars.
Write the rule for this transformation
Look at pic ty.
Answers
Given a square with a diagonal of 24 What is the length of a side? Show all work and leave your answer in simplest radical form.
Answers
Answer:
12√2
Step-by-step explanation:
All sides of a square are congruent.
The diagonal of a square is the hypotenuse of a triangle that has 2 sides of the square as the legs.
Let the sides of the square have length x.
a² + b² = c²
x² + x² = 24²
2x² = 576
x² = 288
x = √288
x = 12√2
Answer: 12√2
if you take away 25 from a number you will be left with two and halftimes 30. what is the number?
Answers
If you take away 25 from (100) you get 75.
70 also equals 2.5*30
Is (49,13),(61,36),(10,27),(76,52),(23,52) a function
Answers
Answer:
No
Step-by-step explanation:
To determine whether the given set of ordered pairs {(49,13),(61,36),(10,27),(76,52),(23,52)} represents a function, check if each x-value is associated with a unique y-value.
Check the x-values in the set: 49, 61, 10, 76, and 23. There are no repeated x-values. Still need to check if each x-value has a unique corresponding y-value.
Check the y-values: 13, 36, 27, 52, and 52. There is one repeated y-value, 52, for the pairs (76, 52) and (23, 52).
Conclusion: the y-value 52 is associated with 2 different x-values, therefore the given set of ordered pairs does not represent a function.
Maya and Praisy are planting corns on a same farm. Maya plants 4 rows and Praisy plants 6 rows. If Mayas corns are ready to be picked in 8 weeks, how many weeks will it take Praisys corn to ready?
Answers
It will take 12 weeks for Praisys corn to be ready for picking.
We have been given that,
Maya plants corns In = 4 rows
Praisy plants corns in = 6 rows
Maya corns ready to be picked in = 8 weeks
We have to find the number of weeks will it take Praisys corn to be ready for picking.
To find we will use the unitary method that is,
4 rows = 8weeks
6 rows = 8/4*6 weeks
= 12 weeks
Thus 12 weeks will it take Praisys corn to be ready for picking.
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Find the missing side length.
Assume that all intersecting sides meet at right angles.
Be sure to include the correct unit in your answer.
13 ft
5 ft
?
9 ft
6 ft
4 ft
Answers
The measure of the missing side length from the given figure is 11 feet.
What is right angle?The right angle is created when two straight lines cross at a 90° angle or when they are perpendicular at the intersection.
It is referred to as a right angle if the angle formed by two rays exactly equals 90 degrees, or π/2.
The adjacent angles are right angles if a ray is positioned so that its terminus is on a line and they are equal.
In the given figure, assuming that all the intersecting sides meet at right angles.
So, the opposite sides are parallel to each other.
Let x be the length of missing side.
Thus, The length of missing side = Sum of length of parallel sides
Now, x= 5+6
= 11 feet
Therefore, the length of side missing is 11 feet.
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I rent a gym for $150 for 30 students. Another time I rent the gym for $350 for 70 students. What is my rate per student?
Answers
Answer:
The rate is 5 dollars per student.
Step-by-step explanation:
The rate per student can be found with \(\frac{dollars}{student}\):
\(\frac{150dollars}{30student}=5\frac{dollars}{student}\\\\\frac{350dollars}{70student}=5\frac{dollars}{student}\)
The rate is 5 dollars per student.
A driver spent 45minutes to cover a distance of 120km. what is the speed of the driver in km per hour.
Answers
Answer:
The speed is 160 km /hStep-by-step explanation:
A driver spent 45minutes to cover a distance of 120km
Convert minutes to hour
45 min = 45 /60 hr = 3/4 hrUse the distance equation
d = tsFind the speed
s = d/tSubstitute the distance and time value and find the value of speed
s = 120 / (3/4) = 120 * 4/3 = 160 km /hThomas obtained a bank loan of k10 000 from BSP bank.He repays the money with 36% interest in one year.Calculate his installment payment he pays in one fortnight?
Answers
Thomas' installment payment that he pays in one fortnight is approximately k523.08.
To calculate Thomas' installment payment, we need to consider the principal amount (k10,000) and the interest rate (36%).
First, let's calculate the total amount to be repaid at the end of the year, including the interest. The interest is calculated as a percentage of the principal amount:
Interest = Principal × Interest Rate
= k10,000 × 0.36
= k3,600
The total amount to be repaid is the sum of the principal and the interest:
Total Amount = Principal + Interest
= k10,000 + k3,600
= k13,600
Now, we need to calculate the number of fortnights in a year. There are 52 weeks in a year, and since each fortnight consists of two weeks, we have:
Number of Fortnights = 52 weeks / 2
= 26 fortnights
To find the installment payment for each fortnight, we divide the total amount by the number of fortnights:
Installment Payment = Total Amount / Number of Fortnights
= k13,600 / 26
≈ k523.08
Therefore, Thomas' installment payment that he pays in one fortnight is approximately k523.08.
It's important to note that this calculation assumes equal installment payments over the course of the year. Different repayment terms or additional fees may affect the actual installment amount. It's always advisable to consult with the bank or financial institution for accurate information regarding loan repayment.
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Solve for x
2x + 10 = -3x - 15
A -5
B -7
C -4
D -2
Answers
Answer:
A. x = -5
2(-5) + 10 = -3(-5) - 15
0 = 0
Solve for w.
242 = 160-W
Answers
-242 = -160 + w
Add 160 to both sides
-82 = w
A bag contains 4 red marbles, 6 blue marbles, and 7 green marbles. What is the probability of choosing a blue marble when one marble is drawn?
Answers
Answer:
Probabilty of selecting a blue marble if one marble is drawn
= 0.3529
Step-by-step explanation:
A bag contains 4 red marbles, 6 blue marbles, and 7 green marble.
Total number of marbles
=4 red+ 6 blue+7 green
= 17 marbles in total
Probabilty of selecting a blue marble if one marble is drawn
= Number of blue marble/total number of marble
Probabilty of selecting a blue marble if one marble is drawn
= 6/17
Probabilty of selecting a blue marble if one marble is drawn
= 0.3529
The net of a triangle prism is shown.what is the surface area of the prism
Answers
The total surface area of the triangular prism using the net is 640 square meters
Calculating the total surface area using the net.From the question, we have the following parameters that can be used in our computation:
The net of a triangular prism (see attachment)
The surface area of the triangular prism from the net is calculated as
Surface area = sum of areas of individual shapes that make up the net of the triangular prism
Using the above as a guide, we have the following:
Area = 2 * 8 * 17 + 8 * 16 + 2 * 1/2 * 15 * 16
Evaluate
Area = 640
Hence, the surface area is 640 square meters
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24. This week, Cristina eamed P594.65 from selling burgers for 35 days. How much he will earn in 5 days?
A. P84.95
B. P94.95
C. P104.95
D. P114.95
25. You have four quizzes in your math subject in a quarter. You got 88.75 for the first quiz, 85.5, 90.5, and 87.25 in the second, third and fourth quizzes, respectively. What is your average in the four quizzes this quarter?
A. 86.5
B. 88
C. 89.5
D. 90 26. Amberich put P580.00 into a savings account for one year. The rate of interest on the account was 6.5%. How much was the interest for one year in pesos and centavos?
A. P67.70
B. P37.70
C. P57.70
D. P17.70
24. This week , Cristina eamed P594.65 from selling burgers for 35 days . How much he will earn in 5 days ?
A. P84.95
B. P94.95
C. P104.95
D. P114.95
25. You have four quizzes in your math subject in a quarter . You got 88.75 for the first quiz , 85.5 , 90.5 , and 87.25 in the second , third and fourth quizzes , respectively . What is your average in the four quizzes this quarter ?
A. 86.5
B. 88
C. 89.5
D. 90
26. Amberich put P580.00 into a savings account for one year . The rate of interest on the account was 6.5 % . How much was the interest for one year in pesos and centavos ?
A. P67.70
B. P37.70
C. P57.70
D. P17.70
Answers
Question 24 :
P594.65 : 35 days
P594.65/7 : 35/7 days
P84.95 : 5 days
⇒ A. P84.95
Question 25 :
88.75 + 85.5 + 90.5 + 87.25 / 4
352/4
88
⇒ B. 88
Question 26 :
I = P × r × t
I = 580.00 × 0.065 × 1
I = P37.70
⇒ B. P37.70
What is the image point of (2,8) after the transformation rx-axis D₂?
Answers
After transformation, the point (-1,2) in the image would be (-1,-2)
What is composition of transformations?Each transformation applied to the prior image is combined into a composition of transformations. The result of a translation is identical to a composition of reflections across parallel lines (twice the distance between the parallel lines). The composite transformation is carried out by multiplying the matrix in order from the right to the left side if it is represented as a column. The output from the preceding matrix is multiplied by the new matrix that will follow.
First, we must mirror the point (-1, 2) around the line y=-x.
(X, Y) is the rule (-y,-x)
you obtain (-1,2)—>(-2,1) (-2,1)
At this point, you must rotate (-2,1) by 90 degrees.
(X, Y) is the rule ( -y,x)
so (-2,1)—> (-1,-2) (-1,-2)
After transformation, the point (-1,2) in the image would be (-1,-2)
The complete question is,
What is the image point of (-1,2) after the transformation R 90° ry=-x
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Which statement explains why the solution to the equation is x=4
Answers
Answer:
C. The \(x\)-value of 4 produces the same \(y\)-value in both \(f(x) = (x-2)^{3}-6\) and \(g(x) = \sqrt[3]{x+4}\).
Step-by-step explanation:
Let \(f(x) = (x-2)^{3}-6\) and \(g(x) = \sqrt[3]{x+4}\). A value of \(x\) is a solution of the formula if and only if \(f(x) = g(x)\). If we know that \(x = 4\), then values of each function are, respectively:
\(f(x) = (x-2)^{3}-6\)
\(f(4) = 2^{3}-6\)
\(f(4) = 2\)
\(g(x) = \sqrt[3]{x+4}\)
\(g(4) = \sqrt[3]{8}\)
\(g(4) = 2\)
Since \(f(4) = g(4)\), then \(x = 4\) is a solution of \((x-2)^{3}-6 = \sqrt[3]{x+4}\). Hence, correct answer is C.
I’m am so lost please help thank you all
Answers
Answer:
Step-by-step explanation:
148 people
When filling out a credit card application why is it important to list your own address and never a friends
Answers
Answer:
you need thing like bills need to be sent to you so you can pay them , if you use your friends adrdress you wont have easy acesses to to all of that information which isnt a good thing in the long run
Step-by-step explanation:
5x + 8x+2x+2x+2x+2x+2x+2x+2x
Answers
Answer:
27x
Step-by-step explanation:
A pack of gray wolves was reintroduced to a forest. The table gives the size of this population of wolves over time. Which model, in which t represents the time in years, best fits the data in the table?
Answers
The exponential equation that represents the population of wolves over time is -
y = 12(1.12)ˣ
What is logarithmic function?The exponential function is a mathematical function denoted by eˣ. Unless otherwise specified, the term generally refers to the positive-valued function of a real variable, although it can be extended to the complex numbers.Inverse : Complex logarithmAt zero : 1Fields of application : Pure and applied mathematicsFixed point : −Wₙ(−1) forMotivation of invention : Analytic proofsIn mathematics, the logarithm is the inverse function to exponentiation. That means the logarithm of a number [x] to the base [b] is the exponent to which [b] must be raised, to produce [x]. We can write -\(y = log_{e}x\)
Given is a table as shown in the question.
Assume the exponential equation to be -
y = A(B)ˣ
At [x] = 0, [y] = 12 -
12 = A(B)⁰
A = 12
and
At [x] = 2, [y] = 15 -
15 = A(B)²
(B)² = 15/12
(B)² = 1.25
(B) = √(1.25)
(B) = 1.118
(B) = 1.12
The equation will be -
y = 12(1.12)ˣ
Therefore, the exponential equation that represents the model is -
y = 12(1.12)ˣ
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Answer:
It's answer B
Step-by-step explanation:
Jose ran 7.5 miles in 1.5 hours.
If Jose runs at the same speed, which proportion can be used to determine the
time (t) it would take Jose to run 12 miles?
Answers
Answer:
2.4 hours to run 12 miles.
Step-by-step explanation:
\(\frac{7.5}{1.5} = \frac{12}{t} = 2.4\)
the proportion is 5:1
for every hour, jose runs 5 miles
The function f(x) is shown on the graph
Answers
Answer:
A) -6
Step-by-step explanation:
f(0) means that the line x=0 passes through the function and only touches the x-coordinate -6
Write the sentence as an equation.
106 more than the quantity 68 times y is the same as 36 decreased by y
Answers
Answer: 68y+106=36-y
g(x) = 5x h(x) = - 11x ^ 3 + 10x ^ 2 - 2x + 5
Answers
Answer:
x(9x – 10).
Step-by-step explanation: