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stira [4]
3 years ago
8

Please solve this equation for two answers Solve (4x-1)^2=11

Mathematics
2 answers:
Delvig [45]3 years ago
7 0
One root is 1.0791561975888, the other is -0.57915619758885.
irinina [24]3 years ago
7 0
<span>(4x-1)^2=11

First we're going to get rid of the square so:

4x - 1 = </span>\sqrt{11}

Next we move -1 to the other side

4x - 1 + 1 = \sqrt{11}+ 1

Which becomes 4x = \sqrt{11} + 1

Last, we divide by 4

x = 1/4 + \sqrt{11} ; 1/4 - \sqrt{11}
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A company invests $15,000.00 in an account that compounds interest annually. After two years, the account is worth $16,099.44. U
ANEK [815]
Principal = $15000
Amount = $16099.44
Rat of interest = r
Time = 2 years
Then
A = P(1 + r)^t
16099.44 = 15000 (1 + r)^2
(1 + r)^2 = 1.073
(1 + r)^2 = (1.036)^2
Then
1 + r = 1.036
r = 1.036 - 1
  = 0.036
  = 0.036/100
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From the above deduction, it can be easily concluded that the correct option among all the options that are given in the question is the second option.
6 0
3 years ago
Find the equation of the line through (6,4) and (-3,-8)
alexdok [17]

Answer:

y = 4/3x - 4

Step-by-step explanation:

to find the equation of a line with 2 points, we use the slope formula which is:

\frac{y_2-y_1}{x_2-x_1}

we will use (6,4) as x_1[tex] and [tex]y_1 and we will use (-3,-8) as x_2[tex] and [tex]y_2. we plug this into the slope formula:

\frac{-8-4}{-3-6}

-8 - 4 = -12

-3 - 6 = -9

the slope is \frac{-12}{-9}

but we can simplify this further by dividing the fraction by -3

-12 / -3 = 4

-9 / -3 = 3

the simplified version of the slope is \frac{4}{3}

we can write this in slope-intercept form which is y =mx + b, with b being the y intercept and m being the slope

y = 4/3x + b <--- we need to solve for <em>b</em> in order to find the y intercept, so substitute x & y for a point on the line, we can use any point we are given, but for this example i will use (6,4)

4 = 4/3(6) + b < multiply 4/3 x 6

4 = 8 + b < subtract 8 from both sides

-4 = b

our y intercept would be (0,-4)

the equation looks like the following:

y = 4/3x - 4, which is our answer

3 0
3 years ago
Andy has 901 cards for a big game if he gives away 789 how much does he have left
Leokris [45]

Answer:

the answer is 112

Step-by-step explanation:

901-789=112

4 0
3 years ago
PLEASE HELP THANK YOU!
Vsevolod [243]

Answer:

um wow that is realy hard

Step-by-step explanation:

8 0
3 years ago
How are repeating decimals used in real-world situations
kumpel [21]
Amount of money and checks could be one...
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