Events & Promotions
|
|
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Apr 2512:30 AM EDT
-01:30 AM EDT
At one point, she believed GMAT wasn’t for her. After scoring 595, self-doubt crept in and she questioned her potential. But instead of quitting, she made the right strategic changes. The result? A remarkable comeback to 695. Check out how Saakshi did it.
Apr 2610:00 AM EDT
-11:00 AM EDT
The Target Test Prep course represents a quantum leap forward in GMAT preparation, a radical reinterpretation of the way that students should study. Try before you buy with a 5-day, full-access trial of the course for FREE!
Apr 2711:00 AM EDT
-12:00 PM EDT
Prefer video-based learning? The Target Test Prep OnDemand course is a one-of-a-kind video masterclass featuring 400 hours of lecture-style teaching by Scott Woodbury-Stewart, founder of Target Test Prep and one of the most accomplished GMAT instructors
Apr 2808:00 AM PDT
-11:00 AM PDT
Whether you are just beginning your MBA journey or fine-tuning your path to a 700+ score, GMAT Day is designed to give you a competitive edge.
29 Sep 2018, 07:52
Kudos
Bookmarks
B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
84% (01:15) correct
16%
(01:52)
wrong
based on 93
sessions
History
Date
Time
Result
Not Attempted Yet
At which point do the following lines intersect?
f(x)=−4x+3
g(x)=5x+39
a) (-4,39)
b) (-4,19)
c) (0,0)
d) (4,-39)
e) (4,19)
source gmat tutor
f(x)=−4x+3
g(x)=5x+39
a) (-4,39)
b) (-4,19)
c) (0,0)
d) (4,-39)
e) (4,19)
source gmat tutor
29 Sep 2018, 09:36
Kudos
Bookmarks
To find the points at which they intersect
We equate both sides
-4x + 3 = 5x + 39
9x = -36
x = -4
Now substitute back in the function
-4 * -4 + 3 = 16 + 3 = 19
So (-4,19) answer choice B
Posted from my mobile device
We equate both sides
-4x + 3 = 5x + 39
9x = -36
x = -4
Now substitute back in the function
-4 * -4 + 3 = 16 + 3 = 19
So (-4,19) answer choice B
Posted from my mobile device
29 Sep 2018, 09:38
Kudos
Bookmarks
bettatantalo
\(f(x)=y\) and \(g(x)=y\)
Just rewrite f(x) and g(x) as \(y\). Doing so yields two linear equations in slope-intercept form*: \(y=mx+b\)
So \(f(x)=−4x+3\) becomes
\(y=-4x+3\)
AND
\(g(x)=5x+39\) becomes
\(y=5x+39\)
At the point of intersection, lines, expressed by their equations, have the same (x,y) coordinates.
We use \(y=y\) from equations above to find the x-coordinate.
Set the linear equations equal:
\(-4x +3 = 5x+39\)
\(-9x=36\)
\(x =\frac{36}{-9}=-4\)
The lines intersect at x-coordinate (-4). Plug that (-4) back into either equation to find the y-coordinate
\(y= -4x +3\)
\(y =(-4)(-4)+3\)
\(y=(16+3)=19\)
The point of intersection (x,y) is (-4,19)
Answer B
*\(y = f(x) = mx + b\)
\(y=mx+b\)
is slope-intercept form
See HERE for a good explanation of slope intercept form.
Linear functions have one dependent variable, y, and one independent variable, x. Similarly, the slope-intercept form of an equation also has dependent variable \(y\) and independent variable \(x\)
