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denpristay [2]
2 years ago
9

Find the exact zeros of the function f(x) = 25x^2 − 10x − 1

Mathematics
2 answers:
Nady [450]2 years ago
5 0

Answer:

answer attached

The zero of a function is any replacement for the variable that will produce an answer of zero. Graphically, the real zero of a function is where the graph of the function crosses the x‐axis; that is, the real zero of a function is the x‐intercept(s) of the graph of the function.

sp2606 [1]2 years ago
5 0

Answer:

x = 1/5 + √(2)/5 =  0.483

or

x = 1/5 - √(2)/5 =  -0.083

Step-by-step explanation:

When a math problem asks to find the "zeroes" of the equation, it is asking for the x-intercepts of the equation. In other words, you must set the equation equal to zero.

Solve for x over the real numbers:

25 x^2 - 10 x - 1 = 0

Write the quadratic equation in standard form.

Divide both sides by 25:

x^2 - 2x/5 - 1/25 = 0

Solve the quadratic equation by completing the square.

Add 1/25 to both sides:

Take one half of the coefficient of x and square it, then add it to both sides.

x^2 - 2x/5 + 1/25 = 1/25 + 1/25

Factor the left hand side.

Write the left hand side as a square:

(x - 1/5)^2 = 2/25

Eliminate the exponent on the left hand side.

Take the square root of both sides:

x - 1/5 = (√2)/5 or x - 1/5 = (-√2)/5

Look at the first equation: Solve for x.

Add 1/5 to both sides:

x = 1/5 + √(2)/5 or x = 1/5 - √(2)/5

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Write L if it is likely to happen and U if unlikely to happen.
maria [59]

Answer:

Probabilities

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a.      4/5                                 5/8

b.     3/5                                  3/8

c.     4/5                                  4/7

d.    0.3                                  0.09

e.    5/6 and 4/5                   2/3

Step-by-step explanation:

Probabilities in Percentages:

a. The probability of 4/5 = 80% and 5/8 = 62.5%

b. The probability of 3/8 = 37.5% and 3/5 = 60%

c. The probability of 4/5 = 80% and 4/7 = 57%

d. The probability of 0.3 = 30% and 0.09 = 9%

e. The probability of 2/3 = 67% and 4/5 = 80% and 5/6 = 83%

b) To determine the relative values of the fractional probabilities, it is best to reduce them to their fractional or percentage terms.  When this is done, the relative sizes become obvious, and then, comparisons can be made.

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Answer:

He will need to mow 5 lawns.

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11(2x + 1) = 4x - 7 <br> show work
Harlamova29_29 [7]

Answer:

0.22

Step-by-step explanation:

22x + 11 = 4x - 7

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3 years ago
Read 2 more answers
Round the number to the place value given. 1,370,945 rounded to the ten-thousand is.
Monica [59]

Explanation:

The question requires that we round the given number to Ten-thousand

To do so, we will have to write the place values of the numbers first

Next, we find the digits before the Ten-thousand digits and then approximate the value

One of the principles to use is that

numbers from 0 to 4 are rounded to 0

while numbers from 5 to 9 are rounded to 1

In our case, The thousand digit is 0, so we round down to 0, then we add to the Ten-thousand digits and convert each of the numbers before the Ten-thousand digits to 0

Thus, we will have

1,370,000

Hence, the answer is 1,370,000

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1 year ago
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