Answer:
y = 2, x = -1
Step-by-step explanation:
2y - 5x = 9
2y = 9+5x
y = (9+5x) /2
4y + 3x = 5
4((9+5x) /2) + 3x = 5
13x + 18 = 5
13x = -13
x = -1
y = (9+5x) /2
y = (9+5(-1)) /2
y = 2
Answer:
q= -40p+c
q= -40p+4,000
Step-by-step explanation:
$5 each for 3800 tye-dye shower curtains
$10 each for 3600 tye-dye shower curtains
Slope of the demand line is
3800-3600/5-10
=200/-5
= -40
Demand function is
q= -40p + c
Where c is a constant
For q=3800 and p=$5
Demand function is
q= -40p + c
3800= -40(5)+c
3800= -200+c
c=3800+200
c=4,000
Linear demand function is
q= -40p+4,000
Answer:
C) 8
Step-by-step explanation:
y=3*4-4
y=12-4
y=8
Answer:
x=1
Step-by-step explanation:
6-3x=5x-10x+8=
move all terms to the left:
6-3x-(5x-10x+8)=0
add all the numbers together, and all the variables
-3x-(-5x+8)+6=0
get rid of parentheses
-3x+5x-8+6=0
add all the numbers together, and all the variables
2x-2=0
move all terms containing x to the left, all other terms to the right
2x=2
x=2/2
x=1
Answer:
A
Step-by-step explanation:
The velocity of a moving body is given by the equation:
Is the velocity is <em>positive </em>(v>0), then our object will be moving <em>forwards</em>.
And if the velocity is negative (v<0), then our object will be moving <em>backwards</em>.
We want to find between which interval(s) is the object moving backwards. Hence, the second condition. Therefore:
By substitution:
Solve. To do so, we can first solve for <em>t</em> and then test values. By factoring:
Zero Product Property:
Now, by testing values for t<1, 1<t<4, and t>4, we see that:
So, the (only) interval for which <em>v</em> is <0 is the second interval: 1<t<4.
Hence, our answer is A.
