Answer:
jim is 24 years old, Mark is 20 years old
Step-by-step explanation:
This prompt can be set up using this equation:
Let's represent Mark's age by variable m and Jim's age by variable J.
j + m = 44
m + 4 = j
m = j - 4
j + (j - 4) = 44
2j - 4 = 44
2j = 48
j = 24
So, jim is 24 years old, meaning mark must be 20 years old. 20 + 24 results in 44 years old together.
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The first thing we must do for this case is to define a variable:
x: number of years
y: total salary
We have then:
For first company:
y = 1500x + 31000
For second company:
y = 2000x + 28500
Equaling both equations we have:
1500x + 31000 = 2000x + 28500
Clearing x:
2000x - 1500x = 31000 - 28500
500x = 2500
x = 2500/500
x = 5
Answer:
It will take for the salaries to be the same about:
x = 5 years
Answer:
k
Step-by-step explanation:
x=0 y=6
x=1 y=4
x=2 y=2
x=3 y=0
x=4 y=-2
x=5 y=-4
u basically get the pattern
Answer:
x = 2.81 and 2.096
Step-by-step explanation:
Given the expression
10(2^x) + 7(3^x) = 6^x + 70
This can also be expressed as;
10(2^x) + 7(3^x) = (2*3)^x + 70
10(2^x) + 7(3^x) = 2^x*3^x + 70
Let a = 2^x and b = 3^x
10a + 7b = ab + 70
10a + 7b - ab = 70
10a-ab + 7b - 70 = 0
a(10-b)+7(b-10) = 0
a(10-b)-7(10-b) = 0
a-7 = 0 and 10-b = 0
a = 7 and b = 10
Since a = 2^x
7 = 2^x
log 7 = log2^x
log7 = xlog2
x = log7/log2
x = 2.81
Similarly
10 = 3^x
log 10 = log 3^x
log 10 = xlog3
x = log 10/log 3
x = 1/0.4771
x = 2.096
Hence the values of x that satisfies the equation are 2.81 and 2.096
I wanna say it’s d because of the way it’s set up, i hope this helps if not i’m really really sorry
