Answer:
Correct option is
B
1.x+0.y=7
x=7 can be written as, 1.x+0.y=7 as the coefficient of x is 1 and that of y is 0. Step-by-step explanation:
1st you distribute whats outaide the fractions 2/3*6 and 2/3*5/6 which would be 4 and 5/9 and then subtract those which would be 4/1 - 5/9 To make denomantor the same you would multiply 4/1 by 9 so it would be 36/9- 5-9= 31/9 which converts to 3 4/9. so your answer is 3 4/9
Answer: B) A = 750(1.04)ⁿ
<u>Step-by-step explanation:</u>
The formula for compounded annually is: A = P(1 + r)ⁿ where
- A (amount accrued) = <em>unknown</em>
- P (amount invested) = $750
- r (interest rate) = 4% -->(0.04)
- t (time in years) = <em>unknown</em>
A = 750(1 + 0.04)ⁿ
= 750(1.04)ⁿ
The formula for the quadratic formula is x (c in this case) = (-b(+/-)√(b²-4ac))/2a
This is used for an equation in standard quadratic form: ax² + bx + c = 0
1.) Put it in the correct form, if not already in it.
Ex. c² + 6c + 8 = 0
2.) Identify each part of the equation:
a = 1 (the leading coefficient), b = 6 (the coefficient in front of the second variable), c = 8
3.) Plug in each variable answer
c = (-6(+/-)√(6²-4(1)(8))/2(1)
4.) Simplify
c = (-6(+/-)√(36-(4*8))/2
c = (-6(+/-)√(36-32))/2
c = (-6(+/-)√(4))/2
c = (-6(+/-)2)/2
*Here, the equation splits in two. It becomes:
c = (-6+2)/2 AND c = (-6-2)/2
*Simplify again:
c = -4/2 AND c = -8/2
c = -2 AND c = -4
The answers c = -2 and c = -4 would solve the given equation.
Hope this helps! :)
Answer: C) 5
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x = independent variable, y = dependent variable
Assuming this is a linear function, each increase of x by 2 leads to y going up by 10. So 10/2 = 5 is the unit increase each time x bumps up by 1.
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An alternative is to use the slope formula to get
m = (y2 - y1)/(x2 - x1)
m = (25 - 15)/(4 - 2)
m = 10/2 <--- this expression shows up again
m = 5 <---- leading to the same answer as before
So we see that the slope formula is a more drawn out method to finding the answer.
