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Kruka [31]
2 years ago
9

Solve the equation by using the quadratic formula. 8x2 – 2x - 15 =0

Mathematics
1 answer:
ddd [48]2 years ago
4 0

Answer:

x = 3/2 or x = -5/4

Step-by-step explanation:

Solve for x over the real numbers:

8 x^2 - 2 x - 15 = 0

Using the quadratic formula, solve for x.

x = (2 ± sqrt((-2)^2 - 4×8 (-15)))/(2×8) = (2 ± sqrt(4 + 480))/16 = (2 ± sqrt(484))/16:

x = (2 + sqrt(484))/16 or x = (2 - sqrt(484))/16

Simplify radicals.

sqrt(484) = sqrt(4×121) = sqrt(2^2×11^2) = 2×11 = 22:

x = (2 + 22)/16 or x = (2 - 22)/16

Evaluate (2 + 22)/16.

(2 + 22)/16 = 24/16 = 3/2:

x = 3/2 or x = (2 - 22)/16

Evaluate (2 - 22)/16.

(2 - 22)/16 = -20/16 = -5/4:

Answer: x = 3/2 or x = -5/4

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Varvara68 [4.7K]

Probability of an egg coming out of the boiling process with a cracked shell:
1-(1-0.04)^{24} = 0.6246

4 0
2 years ago
Read 2 more answers
Find volume with full working out pls asap
aev [14]
<h3>Answer: approximately 2076.56001909938 cubic cm</h3>

====================================================

Work Shown:

V1 = volume of cylinder

V2 = volume of cone on top

V3 = V1+V2 = volume of entire 3D solid figure

-----------

V1 = volume of cylinder

V1 = pi*r^2*h

V1 = pi*8.75^2*5.8

V1 = 1395.06348773471 which is approximate

----------

V2 = volume of cone

V2 = (1/3)*pi*r^2*h

V2 = (1/3)*pi*8.75^2*8.5

V2 = 681.49653136466  which is approximate

----------

V3 = V1+V2

V3 = 1395.06348773471+681.49653136466

V3 = 2076.56001909938

Answer is approximate

The units for the volume are in cubic cm.

5 0
3 years ago
(12) - (23 +131) =<br> Express your answer in the form (a + bi),
4vir4ik [10]

Answer:

-142

Step-by-step explanation:

First solve parenthesis,

(12) - (23 +131) =

(12) -154

Finally subtract,

12-154

= -142

5 0
3 years ago
MARKING BRAINLEST!!!!!!!!!
lapo4ka [179]

Answer:

A  3^4 * 3^-4 / 3^6

C 1 / 3^6

Step-by-step explanation:

( 3^2 * 3^-2)

-------------------  all the the power of 2

           3^3

First simplify the numerator

We know a^b* a^c = a^(b*c)

( 3^(2+-2))

-------------------  all to the power of 2

           3^3

( 3^(0))

-------------------  all to the power of 2

           3^3

( 3^(0))

-------------------  all to the power of 2

           3^3

We know a^b/ a^c = a^(b-c)

3^(0-3)  all to the power of 2

3^-3 all to the power of 2

3^-3 ^2

We know that a^b^c = a^(b*c)

3^(-3*2)

3^ -6

We know the negative exponent takes if from the numerator to the denominator

1 / 3^6

The other correct choice is A

3^4 * 3^-4 = 3^0 which is 1

1/3^6 is the same answer

8 0
4 years ago
Read 2 more answers
The nth term of a different sequence is 2n + 5<br> (b) Work out the 6th term of this sequence.
eimsori [14]

Answer:

17

Step-by-step explanation:

nth term is 2n + 5

so for 6th term n = 6

= 2*6 + 5

= 17

7 0
3 years ago
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