Hi there!
The substitutions are 10 and 0.
Answer:
let me tell you firstly i am juat writing this
Step-by-step explanation:
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Answer:
a = 3
b = 2
c = 0
d = -4
Step-by-step explanation:
Form 4 equations and solve simultaneously
28 = a(2)³ + b(2)² + c(2) + d
28 = 8a + 4b + 2c + d (1)
-5 = -a + b - c + d (2)
220 = 64a + 16b + 4c + d (3)
-20 = -8a + 4b - 2c + d (4)
(1) + (4)
28 = 8a + 4b + 2c + d
-20 = -8a + 4b - 2c + d
8 = 8b + 2d
d = 4 - 4b
Equation (2)
c = -a + b + d + 5
c = -a + b + 4 - 4b+ 5
c = -a - 3b + 9
28 = 8a + 4b + 2c + d (1)
28 = 8a + 4b + 2(-a - 3b + 9) + 4 - 4b
28 = 6a - 6b + 22
6a - 6b = 6
a - b = 1
a = b + 1
220 = 64a + 16b + 4c + d (3)
220 = 64(b + 1) + 16b + 4(-b - 1 - 3b + 9) + 4 - 4b
220 = 60b + 100
60b = 120
b = 2
a = 2 + 1
a = 3
c = -3 - 3(2) + 9
c = 0
d = 4 - 4(2)
d = -4
By seeing where the curves intercept, we conclude that the solutions are:
(0.22, -1.22) and (-2.12, 1.12)
<h3>
How to solve the system of equations?</h3>
Here we just need to graph the equations:
y = log(-5.6*x + 1.3)
y = -1 - x
And see in which points the curves intercept.
The graph can be seen below:
There we can see that the intersections (and solutions) are the points:
(0.22, -1.22) and (-2.12, 1.12)
If you want to learn more about systems of equations:
brainly.com/question/13729904
#SPJ1
Answer:
17.5hrs
Step-by-step explanation:
Set they worked for x hours,
10x+35=210
10x=175
x=17.5