Answer:
y = 4x + 14
Step-by-step explanation:
slope-intercept form: y = mx + b
Slope formula: 
To write the equation in y = mx + b form, we need to find the slope(m) and the y-intercept(b) of the equation.
To find the slope, take two points from the table(in this example I'll use points (0, 14) and (1, 18)) and input them into the slope formula:
Simplify:
18 - 14 = 4
1 - 0 = 1
The slope is 4.
To find the y-intercept, input the values of the slope and one point(in this example I'll use point (1, 18)) into the equation format and solve for b:
y = mx + b
18 = 4(1) + b
18 = 4 + b
14 = b
The y-intercept is 14.
Now that we know the slope and the y-intercept, we can write the equation:
y = 4x + 14
Answer:
x = 6 2/3
Step-by-step explanation:
10+3(x+2)=36
10+3x+6=36 Solve inside the parenthesis.
16+3x=36 Combine like terms.
-16 -16 Subtract 16 from both sides.
3x/3=20/3 Divide both sides by 3.
x=6 2/3 The answer is x= 6 2/3, or 6.66666666666667
Answer:
Step-by-step explanation:
Given the data:
Weight ____Height
110 _______ 120
130 _______140
150 _______160
From the data given, we can conclude that that there exist a positive relationship between weight and height. As weight increases, the height increases and vice versa. The weight variable and height variable are positively correlated and thus an individual with a high weight value will have a high height value.
Answer:
Step-by-step explanation:
common difference d=3-1=2
first term a=1
an=a+(n-1)d
2n-1=1+(l-1)2
2n-1=1+2l-2
2n-1=2l-1
l=n
(i used l for number of terms)
number of terms=n
Answer:
Step-by-step explanation:
4x + 4 - 3
= 4x + 1
Yes they both are equivalent because the algebraic expression is same
