Answer:
(7, -4.5)
Step-by-step explanation:
25−x=−4y ---> x=25+4y
3x−2y=30
use x to substitute into the second equation
3 (25+4y)-2y = 30
75+12y-2y=30
75+10y=30
10y=-45
y=-4.5
3x-2(-4.5)=30
3x+9=30
3x=21
x=7
check:
25-7=-4*-4.5
18=18 (yes)
3*7-2*-4.5=30
21+9=30
30=30 (yes)
Answer:
No real solutions
Step-by-step explanation:
If you rearrange the equation:
33x - 33x = -99 - 99
0x = -198
Anything divided by zero is undefined/no real solution
Answer:
$42
Step-by-step explanation:
35·0.20=7
tax is $7
35+7=42
the final price is $42
Answer:
yes because when you multiply 3000 by 10 that gives you a total of 30000 that you paid off
∫(t = 2 to 3) t^3 dt
= (1/4)t^4 {for t = 2 to 3}
= 65/4.
----
∫(t = 2 to 3) t √(t - 2) dt
= ∫(u = 0 to 1) (u + 2) √u du, letting u = t - 2
= ∫(u = 0 to 1) (u^(3/2) + 2u^(1/2)) du
= [(2/5) u^(5/2) + (4/3) u^(3/2)] {for u = 0 to 1}
= 26/15.
----
For the k-entry, use integration by parts with
u = t, dv = sin(πt) dt
du = 1 dt, v = (-1/π) cos(πt).
So, ∫(t = 2 to 3) t sin(πt) dt
= (-1/π) t cos(πt) {for t = 2 to 3} - ∫(t = 2 to 3) (-1/π) cos(πt) dt
= (-1/π) (3 * -1 - 2 * 1) + [(1/π^2) sin(πt) {for t = 2 to 3}]
= 5/π + 0
= 5/π.
Therefore,
∫(t = 2 to 3) <t^3, t√(t - 2), t sin(πt)> dt = <65/4, 26/15, 5/π>.
