Answer:
y = 0.25x - 5
Step-by-step explanation:
Given line is 4x + y = 3
or y = -4x + 3
Comparing this with slope-intercept form y = mx + c :
slope of this line is -4
Product of slopes of perpendicular lines = -1
⇒ slope of a line perpendicular to this is 
= 
= 0.25
This line also passes through the point (-4,-6)
The equation of a line having slope m and passing through a point (h,k) is
y - k = m(x - h)
⇒ equation of line perpendicular to given line is y - (-6) = 0.25×{x - (-4)}
⇒ y + 6 = 0.25×(x + 4)
⇒ y + 6 = 0.25x + 1
⇒ <u>y = 0.25x - 5</u>
This is in the slope-intercept form y = mx + c with slope m = 0.25 and y-intercept (0,-5)
Answer:
D. 10 < x < 43
Step-by-step explanation:
4x+8 must be greater than 48, but less than 180.
48 < 4x + 8 < 180
40 < 4x < 172
10 < x < 43
The number of real zeros of the function f(x) = x3 + 4x2 + x − 6 is 3
<h3>How to determine the number of real zeros?</h3>
The equation of the function is given as:
Expand the function
Reorder the terms
Factor the expression
Factor out x -1
Expand
Factorize
](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Bx%28x%20%2B%203%29%20%2B%202%28x%20%2B%203%29%5D%28x%20-%201%29)
Factor out x + 2
The function has been completely factored and it has 3 linear factors
Hence, the number of real zeros of the function f(x) = x3 + 4x2 + x − 6 is 3
Read more about functions at:
brainly.com/question/7784687
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Answer: 60= $3.00 and 30= $4.00
x=# of $3 tickets
90-x=# of $4 tickets
$3x+$4(90-x)=$300
3x+360-4x=300
-x+360=300
-x=-360+300
-x=-60
x=60 $3 tickets
90-60=30 $4 tickets
Answer:
The answer is option 4.
Step-by-step explanation:
As there is a <em>M</em><em>o</em><em>d</em><em>u</em><em>l</em><em>u</em><em>s</em><em> </em><em>s</em><em>i</em><em>g</em><em>n</em><em> </em>so the answer will be always positive.
e.g
|1.2| = 1.2
|-5.6| = 5.6 (always interested in the positive value)
