<span>y(t) = a exp(3t) + b exp(4t)
conditions, y(0) = 3
y'(0) = 3
y(0) = a exp(3 x 0) + b exp(4 x 0)
= a exp(0) + b exp(0)
= (a x 1) + (b x 1)
= a + b
y'(0) = 0
so the linear equation is, a + b = 3</span>
Answer:
(x,y) (1,3)
Step-by-step explanation:
3x=-x+4
+x +x
4x=4
*divide/simply*
x=1
y=3(1)
y=3✓
y=-1+4
y=3 ✓
Given: ∠ DEF
To construct: ∠TSZ ≅ ∠DEF
Construction: Consider the attachment
Step-01: Draw a line XY and choose a point S on it as a vertex of the required angle. Further marks point T such that DE = ST
Step-02: Take an arc AB from point E in ∠DEF of any length and draw at point S which cuts at point P on XY line.
Step-03: Take another arc of length AB from point B in ∠DEF and draw from point P which cuts to the previous arc at Q.
Step-04: Now, join the point SQ and extend up to Z such that EF = SZ
Hence, ∠ TSZ will be the required congruent constructed angle to∠DEF
Answer:
Loss= $175
Loss %= 7%
Step-by-step explanation:
First of all, you find the difference between 2500 and 2325 which is 175, as his has decreased, it is a loss of $175
To find the percentage you do the difference over the original amount
So 175/2500 which will give you 0.07
0.07 x 100 will give you 7%
Answer:
1a. 9a+6c=132
1b. There were 8 adults
2a. 4b+3v=152
2b. There are 32 students on each bus
Step-by-step explanation: