1) 6x-7y=-11
2) x=-2
3) y=-4x+1
4) y-5=3(x-1)
The answer is D. the data shows a positive linear association.
Answer:
<u>The pattern is that the decimal point moves the same number of decimal points to the right as zeros the power of ten has.</u>
Step-by-step explanation:
To multiply a decimal number by a power of ten (such as 10, 100, 1,000, etc.), count the number of zero in the power of ten. Then go to the right the decimal point the same number of positions.
For example, 0.36 * 10 = 3.6. The multiplier 10 has one zero, so you move the decimal point in 0.36 one position to the right to get the product 3.6.
A second example, 0.36 * 100 = 36. The multiplier 100 has two zeros, so you move the decimal point in 0.36 two positions to the right to get the product 36.
<u>So, the pattern is that the decimal point moves the same number of decimal points to the right as zeros the power of ten has.</u>
Answer:
Step-by-step explanation:
The question asks you to graph the inequality
<em>The steps of drawing the inequality are the same steps of drawing the equation except the area of the solution</em>
→ The solution of the equation is just all the points lie on the line
→ The solution of the inequality is one of these cases:
- All the points on the line and on the area down the line if the inequality y ≤ ......
- All the points on the line and on the area over the line if the inequality y ≥ .......
- All the points on the area down the line if the inequality y < ......
- All the points on the area over the line if the inequality y > .......
∵ The inequality is 4x - 3y ≤ 6
∴ The equation of the line is 4x - 3y = 6
Your drawing is right, BUT you must shade the area over the line because the solution of the inequality is all the points on the line and over the line
The coefficient of y is -3 which means we will divide the sides of the inequality by a negative number, so sign the inequality must e reversed
I attached the figure of the inequality to show you the explanation above.
The red shaded is the area of the solution of the inequality.
Answer:
(2) / ((x + 5)(x - 1))
&
(3x) / ((x - 6)(x - 1))
Step-by-step explanation:
The question is asking you to factor the denominator. In this case, you cannot simplify either of the numerators. You can factor the denominator by asking yourself the question: which two numbers multiply to equal the final number in the quadratic and add to equal the middle number in the quadratic?
1.) 2 / (x² + 4x - 5)
-----> Which two numbers multiply to -5 and add to 4? These numbers are 5 and -1. This makes the factors (x + 5) and (x - 1). The fully simplified answer: (2) / ((x + 5)(x - 1))
2.) 3x / (x² - 7x + 6)
------> Which two numbers multiply to 6 and add to -7? These numbers are -6 and -1. This makes the factors (x - 6) and (x - 1). The fully simplified answer: (3x) / ((x - 6)(x - 1))
*Please let me know if I misinterpreted the question or you need further clarification <3