<span>-2x^2 + 10x + 9 =0
multiply whole equation by -1
2x^2 -10x -9 =0
(sqrt2x)^2 -2(sqrt2x)(5/</span>sqrt2) -9=0
add (5/sqrt2)^2 on both sides
(sqrt2x)^2 -2(sqrt2x)(5/sqrt2) + (5/sqrt2)^2-9=(5/sqrt2)^2
a^2-2ab+b^2=(a-b)^2
(sqrt2x - 5/sqrt2)^2=(5/sqrt2)^2+9
(sqrt2x - 5/sqrt2)^2=21.5
taking squareroot on both sides
sqrt2x - 5/sqrt2 = +-4.64
so
sqrt2x - 5/sqrt2 = +4.64 or sqrt2x - 5/sqrt2 = -4.64
sqrt2x = 4.64 + 5/sqrt2 sqrt2x = -4.64 + 5/sqrt2
sqrt2x =8.18 sqrt2x = -1.1045
x=8.18/sqrt2 x= -1.1045/sqrt2
x=5.78 x=-0.781
<h3>
Answer: Choice A) 1/7, 3/7, 4/7, 6/7</h3>
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Explanation:
All of the fractions, for each of the answer choices, has a denominator of 7. This means we can ignore them when it comes to sorting out the fractions. Focus only on the numerators.
- Choice A has numerators 1,3,4,6 in that order from left to right. This is in increasing order (ie smallest to largest), so this is why choice A is the answer.
- Choice B has the numerators 6,4,3,1 in that order. This is from largest to smallest, which is the complete opposite of what we want. Choice B is incorrect.
- Choice C has numerators 1,6,4,3 which is in neither order. Rule this out as well.
- Choice D has numerators 3,4,1,6 and we can rule it out for similar reasoning as choice C.
If you want, you can convert each fraction to decimal form to sort out the decimals that way, then convert back to fraction form.
Answer:
4... hope this will help
Step-by-step explanation:
Answer: Its in the pic below
Step-by-step explanation: Hope this helps have a brilliant day- Lily ^_^
Answer:
Step-by-step explanation:
Part A
We will use the slope intercept form of the line and then convert later.
Equation
y = mx + b is the general form
Givens
Two data points
(4,180)
(9,325)
Solution
325 = 9x + b
<u>180 = 4x + b</u> Subtract
145 = 5x Divide by 5
145/5 = 5x/5 Do the division
29 = x This represents the cost / day
180 = 4x + b Substitute x = 29 to find b
180 = 4*29 + b Combine
180 = 116 + b Subtract 116 from both sides.
180 - 116 = b
64 = b
Solution for y = mx + b
y = 29x + 64
In Standard form this is
- 29x + y = 64 But the first number must be plus
29x - y = - 64 <<<< Answer A
Part B
y = 29x + 64
f(x) = 29x + 64
Part C
The graph is shown below. Various points are filled in using y = 29x + 64. The y intercept is (0,64) which is labeled. Let x = 1 , 2, 3, 4, ... 10 (which is arbitrary). This may be more easily done on a spreadsheet if you know how to use one to make graphs.
