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rodikova [14]
3 years ago
14

Show that 2x^2+5x-58=0

Mathematics
1 answer:
olganol [36]3 years ago
6 0

The two values of x are -6.77 and 4.27

<u>Explanation:</u>

Given:

2x² + 5x - 58 = 0

Solving the equation further:

For quadratic equation:

x = -b +- \frac{\sqrt{b^2-4ac} }{2a}

where,

a = 2

b = 5

c = -58

Substituting the values in the equation we get:

x = -5 + \frac{\sqrt{5^2-4X2X-58} }{2 X 2} \\\\x = -5 +- \frac{\sqrt{489} }{4} \\\\x = 4.27, -6.77

The two values of x are -6.77 and 4.27

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Flura [38]

Answer:

SAS

is the correct answer of this question

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3 years ago
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The half life of uranium-232 is 68.9 years. (show step by step)
dalvyx [7]

Answer:

1.) 8.09g ; 2) 206.7 years

Step-by-step explanation:

Given the following :

Half-life(t1/2) of Uranium-232 = 68.9 years

a) If you have a 100 gram sample, how much would be left after 250 years?

Initial quantity (No) = 100g

Time elapsed (t) = 250 years

Find the quantity of substance remaining (N(t))

Recall :

N(t) = No(0.5)^(t/t1/2)

N(250) = 100(0.5)^(250/68.9)

N(250) = 100(0.5)^3.6284470

N(250) = 100 × 0.0808590

= 8.0859045

= 8.09g

2) If you have a 100 gram sample, how long would it take for there to be 12.5 grams remaining?

Using the relation :

N / No = (1/2)^n

Where N = Amount of remaining or left

No = Original quantity

n = number of half-lifes

N = 12.5g ; No = 100g

12.5 / 100 = (1/2)^n

0.125 = (1/2)^n

Converting 0.125 to fraction

(1/8) = 1/2^n

8 = 2^n

2^3 = 2^n

n = 3

Recall ;

Number of half life's (n) = t / t1/2

t = time elapsed ; t1/2 = half life

3 = t / 68.9

t = 3 × 68.9

t = 206.7 years

7 0
3 years ago
Which of these groups of relative frequencies would be best represented by a pie chart?
Nonamiya [84]

Answer:

B.25%; 70%; 5%

Step-by-step explanation:

Other options have % very close to eachother, pie chart may not reflect the difference

4 0
3 years ago
Which of the following functions is the inverse of this function?
kykrilka [37]

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Step-by-step explanation:

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Given the piecewise Function shown below, select all the statements that are true.
Julli [10]
Evaluate them
A.
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A is wrong

B.f(2), x>1 so square it, f(5)=4
B is correct

C. f(1), x=1 so the result is 5, f(1)=5
C is correct

D. f(-2), x<1 so double it, f(-2)=-4
D is wrong



answers are B and C
4 0
3 years ago
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