Answer:
The system of equations has infinite solutions. True for all y and x.
Given equations:
x + 4y = 0
20y = - 5x
Make x the subject for equation 1:
x + 4y = 0
x = -4y
Plug x as -4y in second equation:
20y = - 5x
20y = - 5(-4y)
20y = 20y
0 = 0
L.H.S = R.H.S
True for all y.
Therefore true for all x.
Answer:
y = -5x - 21
Step-by-step explanation:
Given in the question,
equation of a parallel line
y = -5x + 6
point through which it passes
(-4,-1)
Step1
Find the gradient of the equation given, as it is parallel so it will have same gradient
equation of straight line
y = mx + c
where m is gradient
c is y intercept
y = -5x + 6
m =-5
Step2
Find y-intercept
-1 = -5(-4) + c
-1 = 20 + c
c = -20 - 1
c = -21
Step3
form the equation
y = -5x - 21
Answer:
(5x + 2) - (-9x - 2)
O 11x2 – 5x + 8
14x + 4
–6x2 + 8x 7
-X2 + 6
Step-by-step explanation:
<em>Answer</em>
<em><u>Given</u></em>
<em>the relative frequency tables in the figure below (Note: the tables are not in the same order as in the problem statement)</em>
<em />
<em><u>Find</u></em>
<em>which table is best suited to answer the question</em>
<em />
<em>A) the percentage of home viewers who prefer to watch horror movies </em>
<em />
<em>B) the percentage of people surveyed who prefer to watch comedy movies at home </em>
<em />
<em>C) the percentage of viewers with a preference for drama who watch at the theater </em>
<em />
<em><u>Solution</u></em>
<em>The figure shows the best choices for answering A, B, and C.</em>
<em />
<em>table 2 is best for A (it is normalized by viewing location)</em>
<em />
<em>table 3 is best for B (it is normalized over the whole sample)</em>
<em />
<em>table 1 is best for C (it is normalized by genre)</em>
Answer:
x=1
Step-by-step explanation:
1/2x-3/4=3/8-5/8
Combine like terms on the right hand side
1/2x-3/4=-2/8
Simplify the fraction
1/2x-3/4=-1/4
Add 3/4 to each side
1/2x-3/4+3/4 = -1/4+3/4
1/2x = 2/4
Multiply each side by 2
1/2x *2 = 2/4*2
x = 4/4
x=1