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3 years ago

What is the constant of proportionality

Mathematics

2 answers:

TiliK225 [7]3 years ago

4 0

Answer:

it is ratio of the amount s y and x:k = y/x. put another way: y = Kx.

Example:- you are paid 20 rupaye an hour the constant of proportionality is 20

because pay = 20 hours worked

dangina [55]3 years ago

3 0

Answer:

The equation for constant of proportionality is:

y = kx

K = Constant of proportionality

An example:

4y = 8x

=> 4y/4 = 8x/4

=> y = 2x

In the answer, y = 2x; 2 is the constant of proportionality

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Which of the algebraic expressions are not linear expressions? Select all that apply. a. 3x - 2 b. -9y c. -7x^2^ + 4x d. -1/2x^2

Sedaia [141]

Answer:

c, d and e

Step-by-step explanation:

A linear expression is an expression in which sum of exponents of variables is at most 1 in each of its terms.

Option a: $3x - 2$

Here, the exponent of the variable is 1.

So, it is a linear expression.

Option b: $-9y$

Here, the exponent of the variable is 1.

So, it is a linear expression.

Option c: $-7x^2 + 4x$

Here, the highest exponent of the variable is 2.

So, it is NOT a linear expression.

Option d: $-\frac{1}{2} x^2$

Here, the exponent of the variable is 2.

So, it is NOT a linear expression.

Option e: $8xy$

Here, sum of exponents of variables is 2.

So, it is NOT a linear expression.

Hence, c, d and e are NOT algebraic expressions.

6 0

3 years ago

WILL GIVE BRANILETs

zavuch27 [327]

No matter what number you substitute for y, this equation will be untrue.

It has zero solutions.

6 0

3 years ago

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According to the synthetic division below, which of the following statements are true?

makkiz [27]

Answer:

Correct options are A and D

Step-by-step explanation:

According to the synthetic division in the diagram you can write down the result of division:

$2x^2+9x-7=(x-(-6))(2x-3)+11,\\ \\2x^2+9x-7=(x+6)(2x-3)+11.$

Therefore,

when $2x^2+9x-7$ is divided by $x+6,$ the remainder is 11 (option D is correct). To find the remainder after division by $x-6,$ you have to use another synthetic division. Actually, $2x^+9x-7=(x-6)(2x+21)+119,$ then the remainder is 119 (option C is false).
when $x=-6,$ the expression $x+6$ is $-6+6=0$ and $2x^2+9x-7=0\cdot (2x-3)+11=11$ (option A is correct). You cannot state the same when $x=6$ (option B is false).
neither $x-6$ nor $x+6$ is a factor of $2x^2+9x-7,$ because the remainders in both cases are not equal to 0 (options E and F are false).

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4 years ago

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Tim counts his friends fingers by five. He counts the fingers on six hands. What number does he say

sergiy2304 [10]

30 because 5x6=30 6=hand 5=fingers of each hand

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3 years ago

What are the steps for using a compass and straightedge to construct a line through point P that is parallel to line m? A horizo

kodGreya [7K]

Answer:

Here's the list of the following sequence in the right order for you (I took the test myself and got this whole sequence right)

1. Use the straightedge to draw a line n that passes through P and intersects line m. Label the point of intersection as point X.

2. Place the point of the compass on point X and draw an arc that intersects lines m and n. Label the intersections as points A and B.

3. Without changing the width of the compass opening, place the point of the compass on point P and draw an arc that intersects line n. Label the intersection as point C.

4. Place the point of the compass on point A and open it to width AB.

5. With the compass opening set to width AB, place the point of the compass on point C and draw an arc that intersects the arc that was drawn from point P. Label the intersection of the arcs as point Y.

6. Use the straightedge to draw line PY.

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4 years ago

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