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3 years ago

Line with a slope of -4 and y intercept of -3

Mathematics

1 answer:

yanalaym [24]3 years ago

5 0

Answer:

y = -4x - 3

Step-by-step explanation:

<u>Step 1: Plug into slope-intercept form </u>

y = mx + b

y = (-4)x + (-3)

y = -4x - 3

Answer: y = -4x - 3

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THE ANSWER FOR THIS IS 5^1

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kramer

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MS. Kitts works at a music store. Last week she sold 6 more than 3 times the number of CDs that she sold this week. Ms. Kitts so

puteri [66]

x - 3y = 6 and x + y = 110 represents the system of equations used to find x, the number of CDs she sold last week, and y, the number of CDs she sold this week

number of CDs Kitts sold last week "x" is 84 and number of CDs she sold this week "y" is 26

<h3><u>Solution:</u></h3>

Let "x" be the number of CDs Kitts sold last week

Let "y" be the number of CDs she sold this week

<em><u>Given that Last week she sold 6 more than 3 times the number of CDs that she sold this week</u></em>

Number of CDs Kitts sold last week = 6 + 3(number of CDs that she sold this week)

x = 6 + 3y ----- eqn 1

x - 3y = 6 ------- eqn 2

<em><u>Given that Ms. Kitts sold a total of 110 CDs over the 2 weeks</u></em>

Number of CDs Kitts sold last week + number of CDs she sold this week = 110

x + y = 110 ----- eqn 3

Thus eqn 2 and eqn 3 represents the system of equations used to find x, the number of CDs she sold last week, and y, the number of CDs she sold this week

<em><u>Let us solve the above equations to find values of "x" and "y"</u></em>

Substitute eqn 1 in eqn 3

6 + 3y + y = 110

6 + 4y = 110

4y = 104

From eqn 3,

x + 26 = 110

x = 110 - 26 = 84

Thus number of CDs Kitts sold last week = x = 84

Number of CDs she sold this week = y = 26

6 0

3 years ago

Identify which of the following statement(s) is always true?

julia-pushkina [17]

Answer:

Statement 3

Step-by-step explanation:

<u>Statement 1:</u> For any positive integer n, the square root of n is irrational.

Suppose n = 25 (25 is positive integer), then

$\sqrt{n}=\sqrt{25}=5$

Since 5 is rational number, this statement is false.

<u>Statement 2:</u> If n is a positive integer, the square root of n is rational.

Suppose n = 8 (8 is positive integer), then

$\sqrt{n}=\sqrt{8}=2\sqrt{2}$

Since $2\sqrt{2}$ is irrational number, this statement is false.

<u>Statement 3:</u> If n is a positive integer, the square root of n is rational if and only if n is a perfect square.

If n is a positive integer and square root of n is rational, then n is a perfect square.

If n is a positive integer and n is a perfect square, then square root of n is a rational number.

This statement is true.

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