Answer:
$6.07/hr. if I understand the question properly. See below.
Step-by-step explanation:
I don't see the question, but will assume we want to find Larisa's base pay. The $7/hr given is the average for the work sequence noted in the problem. If this is incorrect, ignore the answer.
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Let x be Larisa's base salary. We are told, I think, that in one stretch of time Larisa earned an average of $7/hour. That was composed of:
<u>Hours</u> <u>Rate($/hr)</u>
40 x
3 1.5x
<u> 6 </u> 2x
49
Her total income over this period would be:
40x +3(1.5x) + 6(2x) [The hours worked times the pay rate for each period]
Her average income per hour would be:
(40x +3(1.5x) + 6(2x))/49
which we are told is $7/hr.
(40x +3(1.5x) + 6(2x))/49 = 7
40x + 4.5x + 12x = 343
56.5x = 343
x = $6.07/hr
Answer:
70°
Step-by-step explanation:
Let x,x+2,x+4,x+6 be 4 consecutive no then,
sum of first 3 no=4x+12
According to condition,
20 less than 5 times 4th= 4 more than sum of 1st,2nd and 3rd
5(x+6)-20=4+(sum of first 3 no)
5(x+6)-20=4+(4x+12)
5(x+6)-20=4x+16
5x+30-20=4x+16
5x+10=4x+16
5x-4x=16-10
x=6
So,
1st no=x=6
2nd no=x+2=8
3rd no=x+4=6+4=10
4th no=x+6=6+6=12
Answer:
x = 2
y = -3
Step-by-step explanation:
Step 1: Write systems of equation
8x + 7y = -5
x = -3y - 7
Step 2: Solve for <em>y</em>
- Substitute 2nd equation into 1st: 8(-3y - 7) + 7y = -5
- Distribute 8: -24y - 56 + 7y = -5
- Combine like terms: -17y - 56 = -5
- Add 56 to both sides: -17y = 51
- Divide both sides by -17: y = -3
Step 3: Solve for <em>x</em>
- Substitute <em>y</em> to find <em>x</em>: x = -3(-3) - 7
- Multiply: x = 9 - 7
- Subtract: x = 2
Step 4: Check
<em>Plug in x, y into an original equation to verify it's a solution.</em>
2 = -3(-3) - 7
2 = 9 - 7
2 = 2
The general shape is that of an exponential function. Since the horizontal asymptote is -3, it appears to be shifted down 3. The y-intercept is 1 unit above the horizontal asymptote, so it appears there has been no horizontal shift.
For x=1, the curve goes through a point 6 units above the horizontal asymptote. This suggests the equation is
y = 6^x - 3
