Answer:
y-4=-7(x-3) and y=-3/8x-8
Step-by-step explanation:
Point slope form: y-y1=m(x-x1)
the slope is already -7.
We can the just plug in the values: y-4=-7(x-3)
For the 2nd problem we can plug in values as well: -2=3/8(16)+b.
-2=6+b. the y intercept is -8. The final form is y=-3/8x-8
$52.95 - $2.50 = $50.45
$50.45 divided by 5 (number of people) = $10.09 per person
Answer:
x = -2 and y = 3
{y = -3 x - 3, y = (3 x)/4 + 9/2} = x = -2 and y = 3
Step-by-step explanation:
Solve the following system:
{6 x + 2 y = -6
3 x - 4 y = -18
Express the system in matrix form:
(6 | 2
3 | -4)(x
y) = (-6
-18)
Solve the system with Cramer's rule:
x = -6 | 2
-18 | -4/6 | 2
3 | -4 and y = 6 | -6
3 | -18/6 | 2
3 | -4
Evaluate the determinant 6 | 2
3 | -4 = -30:
x = -6 | 2
-18 | -4/(-30) and y = 6 | -6
3 | -18/(-30)
Simplify -6 | 2
-18 | -4/(-30):
x = -1/30 -6 | 2
-18 | -4 and y = 6 | -6
3 | -18/(-30)
Simplify 6 | -6
3 | -18/(-30):
x = -(-6 | 2
-18 | -4)/30 and y = -1/30 6 | -6
3 | -18
Evaluate the determinant -6 | 2
-18 | -4 = 60:
x = (-1)/30×60 and y = -(6 | -6
3 | -18)/30
(-1)/30×60 = -2:
x = -2 and y = -(6 | -6
3 | -18)/30
Evaluate the determinant 6 | -6
3 | -18 = -90:
x = -2 and y = (-1)/30×-90
(-1)/30 (-90) = 3:
Answer: x = -2 and y = 3
___________________________________________
Solve the following system:
{y = -3 x - 3
y = (3 x)/4 + 9/2
Express the system in standard form:
{3 x + y = -3
-(3 x)/4 + y = 9/2
Express the system in matrix form:
(3 | 1
-3/4 | 1)(x
y) = (-3
9/2)
Write the system in augmented matrix form and use Gaussian elimination:
(3 | 1 | -3
-3/4 | 1 | 9/2)
Add 1/4 × (row 1) to row 2:
(3 | 1 | -3
0 | 5/4 | 15/4)
Multiply row 2 by 4/5:
(3 | 1 | -3
0 | 1 | 3)
Subtract row 2 from row 1:
(3 | 0 | -6
0 | 1 | 3)
Divide row 1 by 3:
(1 | 0 | -2
0 | 1 | 3)
Collect results:
Answer: {x = -2
, y = 3
Answer:
36
Step-by-step explanation:
the first sequence starts
4 12 (3*4) 36 (3*12) 108 (3*36) ...
the second sequence starts
20 28 (8+20) 36 (8+28) 44 (8+36) ...
so, just by writing down a few elements you can see it already.
I knew it already before that just by thinking "the first sequence has only numbers that can be divided by 3. what is the first number of the second sequence that can be also divided by 3 ? oh, yeah, 36 !"
Answer: 2 2/5 is answer decimal answer is 2.4
Step-by-step explanation:
hope this helpss!!
