A student concluded that the inequality −3+2y≤4x is equivalent to the inequality y≥2x+32, as shown below. Describe and correct the student’s error.
Answers
Answer:
And that's different from the claim of the student that:
The error of the student is that he/she changes the sign of the inequality from to
and that's not possible since we don't multiply both sides of the equation by -1
Step-by-step explanation:
For this case we have the following inequality:
We want to rewrite the last expression with y in the left and x in the right so we can begin adding 3 in both sides of the inequality and we got:
Now we can divide both sides of the inequality by 2 and we got:
And that's different from the claim of the student that:
The error of the student is that he/she changes the sign of the inequality from to
and that's not possible since we don't multiply both sides of the equation by -1
Related Questions
What is less than 7 and can go into 5 evenly
Is it possible to draw a triangle with sides that are 4 inches, 5 inches, and 8 inches long? Justify your answer
(2x^2 -x+5)v+ (3x^2 -3x -2)
Which is bigger 5/8 or 7/12
Answers
Answer:
Step-by-step explanation:
d = sqrt ((x2 - x1)^2 + (y2 - y1)^2)......this is ur equation
(9,-2)....x1 = 9 and y1= -2
(6,3)....x2 = 6 and y2 = 3
d = sqrt ((6 - 9)^2 + (3 - (-2)^2)
d = sqrt ((-3^2) + (5^2))
d = sqrt (9 + 25)
d = sqrt (34)
d = 5.83
Answer:
5,83
Step-by-step explanation:
AC = 3-(-2) = 5
BC = 9 - 6 = 3
AB^2 = AC^2 + BC^2
AB^2 = 5^2 + 3^2
AB^2 = 25 + 9
AB^2 = 34
AB = sqrt(34)
AB = 5,83
Done :))
Answers
Answers
The quotient when of 13,632 ÷ 48 is 284.
What are the basic properties of arithmetic laws of operations?
There are three types of basic arithmetic laws of operation.
Commutative law for addition and multiplication states,
a + b = b + a.
a×b = b×a.
Distributive law states,
a(b ± c) = ab ± ac.
Associative law states,
a + (b + c) = (a + b) + c.
Given, we have to obtain the quotient when of 13,632 ÷ 48.
We know we can write a number as N = DQ + R, where N = number,
D = divisor, Q = quotient and R = remainder.
∴ 13632 = 48(284).
learn more about division here :
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18x2= 36
18x5= 90
Hope this helped
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The number 7/10 is a rational number.
A rational number is any number that can be expressed as the ratio of two integers, where the denominator is not zero.
In the case of 7/10, both the numerator (7) and the denominator (10) are integers.
Since 7/10 can be written as the fraction of two integers, it falls under the category of rational numbers.
Rational numbers can be expressed as fractions or terminating or repeating decimals.
In this case, 7/10 can be written as the fraction 7/10 or as the decimal 0.7, which is a terminating decimal.
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Rational. Hope that helps!
(x) 2 4 6 8
Output
(y) 1 2 3 4
Part A: Do the data in this table represent a function? Justify your answer. (3 points)
Part B: Compare the data in the table with the relation f(x) = 3x – 10. Which relation has a greater value when x = 8? (2 points)
Part C: Using the relation in Part B, what is the value of x if f(x) = 80? (5 points)
PLEASE HELP!!!!!!!!!!!
Answers
B. For the original function, when x =8, y=x/2=4
For the function given in this part, when x=8, y=3(8)-10
y=24-10 y=14
This means the relation given in this part has a greater value when x=8
C. When x=80, f(x)=3(80)-10
=240-10
=230