How do you find the perimeter of a dented square?
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In a trivia game, each finalist must answer 4 questions correctly. Each question is worth twice as much as the question before it. The fourth question is worth $6,000. How much is the first question worth, in whole dollars?
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Sarah is solving the equation -7/8x=24
3(x+6y)+4=9y+19
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The solution of the system 4x + 1 = 5(x - 3y) - 6 and 3(x + 6y) + 4 = 9y + 19 is x = 16/3 and y = -1/9.
What is the system of equations?
One or many equations having the same number of unknowns that can be solved simultaneously are called simultaneous equations. And the simultaneous equation is the system of equations.
To solve the system of equations:
4x + 1 = 5(x - 3y) - 6
3(x + 6y) + 4 = 9y + 19
We will first simplify each equation by expanding the brackets and combining like terms:
4x + 1 = 5x - 15y - 6
- > 4x-5x = -15y-6-1
-> -x = -15y-7
-> x = 15y+7
3x + 18y + 4 = 9y + 19
-> 3x+9y=15
-> x+3y=5
Now we have two equations:
x = 15y + 7
x + 3y = 5
We can substitute the expression for x in the second equation:
15y + 7 + 3y = 5
Simplifying and solving for y, we get:
18y = -2
y = -1/9
Now that we know y, we can substitute this value back into either equation to solve for x. Let's use the first equation:
x = 15y + 7
x = 15(-1/9) + 7
x = 16/3
Therefore, the solution to the system of equations is:
x = 16/3 and y = -1/9.
To learn more about the system of equations;
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Answer:
x = 15y + 7
x = -3y + 5
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Steps:
2
3.14 x 5 = 78.5
78.5 x 4
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Answer:
7. Mean = 48
Median = 47.5
Mode = 72
Range = 66
8. Mean= 59.625
Median = 61
Mode = 90
Range = 79
9. Mean = 31.57
Median = 32
Mode = 46
Range = 34
10. Mean = 42.11
Median = 36
Mode = 51
Range = 51
Step-by-step explanation:
Mean is the average. Mode is the number that appears the most. Median is the middle number. Range is the biggest number minus the smallest number.
Hope this helps.
Answer:
7. Mean = 48
Median = 47.5
Mode = 72
Range = 66
8. Mean= 59.625
Median = 61
Mode = 90
Range = 79
9. Mean = 31.57
Median = 32
Mode = 46
Range = 34
10. Mean = 42.11
Median = 36
Mode = 51
Range = 51
Step-by-step explanation:
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Lets cancel the 0's with 0's
=
=450000
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y = 5(x² + 4x) - 16
y + 16 = 5(x² + 4x + __)
perfect square:
x² ⇒ x * x
4x ⇒ 2*2x
2² = 4
y + 16 + 4 = 5(x² + 4x + 4)
y + 20 = 5(x+2)²
(x+2)² ⇒ (x+2)(x+2) = x(x+2) + 2(x+2) = x² + 2x + 2x + 4 = x² + 4x + 4
y = 5(x+2)² - 20