Answer:
1. figure 4
2. Figure 1
3. Figure 3
Step-by-step explanation:
1. r is the degree of the line or group of dots that makes a line. for r=1, the line is going to be as close to a linear line as possible. the dots will be close together a make either a close or perfect straight line. This is why we pick figure 4, because the points are decently close together and form a positive slope.
2. a linear relationship can be tested by a straight line test, and in this case you pick the figure that fails the test the most. in this case, Figure 1 fits.
3. looking for r=-1 is looking for the opposite of r=1, so since figure 3 is the opposite of figure 4, we know it fits the description
<u>Step-by-step explanation:</u>
Here we have , If the first step in the solution of the equation 2x - 8 = 5x + 3 is "subtract 2x," then in the form of a paragraph, explain in complete sentences the next steps necessary to completely solve the equation for x. Let's solve this :
2x - 8 = 5x + 3
⇒ 
⇒ 
{ subtract 2x from both side }
⇒ 
⇒ 
⇒ 
{ subtract 3 from both sides }
⇒ 
⇒ 
⇒ 
{ divide 3 from both sides }
⇒
Answer:
t = 4 x 12
Step-by-step explanation:
t = total # of marbles
Equation: t = 4 x 12
=48
Answer: 14
Step-by-step explanation:
Fraction that choose hip hop= 1/3
Fraction that choose rap = 1/5
Fraction that choose rock will be:
= 1 - (1/3 + 1/5)
= 1 - (5/15 + 3/15)
= 1 - 8/15
= 7/15
Number of students that choose rock will be:
= 7/15 × 30
= 7 × 2
= 14 students
We then multi
Answer: x = −18
Step-by-step explanation:
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-4' to each side of the equation.
4 + -4 + -1x = 22 + -4
Combine like terms: 4 + -4 = 0
0 + -1x = 22 + -4
-1x = 22 + -4
Combine like terms: 22 + -4 = 18
-1x = 18
Divide each side by '-1'.
x = -18
Simplifying
x = -18
