Answer:
30
Step-by-step explanation:
5x-1=149
5x=149+1=150
5x=150
x=150/5
x=30
Answer:
p= 2.5
q= 7
Step-by-step explanation:
The lines should overlap to have infinite solutions, slopes should be same and y-intercepts should be same.
Equations in slope- intercept form:
6x-(2p-3)y-2q-3=0 ⇒ (2p-3)y= 6x -2q-3 ⇒ y= 6/(2p-3)x -(2q+3)/(2p-3)
12x-( 2p-1)y-5q+1=0 ⇒ (2p-1)y= 12x - 5q+1 ⇒ y=12/(2p-1)x - (5q-1)/(2p-1)
Slopes equal:
6/(2p-3)= 12/(2p-1)
6(2p-1)= 12(2p-3)
12p- 6= 24p - 36
12p= 30
p= 30/12
p= 2.5
y-intercepts equal:
(2q+3)/(2p-3)= (5q-1)/(2p-1)
(2q+3)/(2*2.5-3)= (5q-1)/(2*2.5-1)
(2q+3)/2= (5q-1)/4
4(2q+3)= 2(5q-1)
8q+12= 10q- 2
2q= 14
q= 7
Answer:
The difference in slopes of 
is = 3
We can say slope of 
is positive and 3 more than slope of 
while slope of is negative.
Difference of y-intercepts of is = -7
We can say the y-intercept of is positive and 7 units above while y-intercept of is negative.
Step-by-step explanation:
Given equation:
We need to find the difference of slopes and y-intercepts of the given equations.
The standard form of a slope intercept equation of line is given by:
where 
represents slope and 
represents y-intercept of line.
Writing the given equations in standard form to find slope and y-intercept.
Slope = 2 and y-intercept =-2
Slope = -1 and y-intercept =5
The difference in slopes of is = 
We can say slope of is positive and 3 more than slope of while slope of is negative.
Difference of y-intercepts of is = 
We can say the y-intercept of is positive and 7 units above while y-intercept of is negative.
Answer:
20 %
Step-by-step explanation:
% Increase = Increase/Original value × 100 %
Data:
Original = $25
This year = $30
Calculations:
Increase = This year - original
= 30 - 25
= $5
% Increase = 5/25 × 100 %
= 20 %
The percent increase of the price of the necklace was 20 %.
Answer:
Slope <em>m</em> (Gradient) = 3
y-intercept: (0, -5)
General Formulas and Concepts:
<u>Algebra I</u>
Slope-Intercept Form: y = mx + b
Step-by-step explanation:
<u>Step 1: Define</u>
y = 3x - 5
<u>Step 2: Break function</u>
Slope <em>m</em> = 3
y-intercept <em>b</em> = -5
