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3 years ago

What’s is the solution to the following equation

Mathematics

2 answers:

nadezda [96]3 years ago

5 0

Answer:

Step-by-step explanation:

<h3>Let's first understand what this equation is.</h3><h2>This is a quadratic equation.</h2><h2>actually lol i'm lazy the answer is a i believe</h2>

dlinn [17]3 years ago

5 0

Answer:

$x=\frac{-3+-\sqrt{-7}}{2}$

Step-by-step explanation:

Given equation is $x^2+3x+4=0$

Apply quadratic formula to solve for x

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

The value of a=1, b=3 and c=4

Plug in all the values and solve for x

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

$x=\frac{-3+-\sqrt{3^2-4(1)(4)}}{2(1)}$

$x=\frac{-3+-\sqrt{9-16}}{2}$

$x=\frac{-3+-\sqrt{-7}}{2}$

The square root is negative . so it is complex

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{6 3/6 + 10 4/6) + 9 2/6

n200080 [17]

Answer:

26.5

Step-by-step explanation:

used calculator

4 0

3 years ago

What is the slope of a line perpendicular to the line with equation y = 1/6 (x) – 2

adell [148]

Let gradient of original line = m = 1/6
Gradient of line perpendicular to this = -1/m = -6

(Gradient = slope)

3 0

3 years ago

Solve the following equation by factoring 2x^2-5x-12=0

Korolek [52]

Answer: x = 4 and x = -3/2

Procedure:

1) Given: 2x^2 - 5x - 12 = 0

2) Multiply both sides by : 2(2x^2) - 2(5x) - 2(12) = 0

3) Rearrange: (2x)^2 -5(2x) - 24 = 0

4) Notice that the common factor is (2x)

5) Set the parenthesis with the common factor inside:

(2x ) (2x ) =0

6) The first sign is the same sign of the second term of the trinomial, which is negative, the second sign is the product of the signs of the second and the third terms of the polynomial, which is (-)*(-) = + (positive)

(2x - )(2x + ) = 0

7) find two numbers that sum up - 5x and its product is -24.

- 8 + 3 = - 5
(-8)(+3) = -24

=> the numbers in the factors are -8 and +3

(2x - 8) (2x + 3) = 0

That is the factored equation. Now you can solve

8) a) 2x - 8 = 0 => 2x = 8 => x = 8/2 => x = 4

b) 2x + 3 = 0 => 2x = - 3 => x = - 3/2

Answer: the two solutions are x = 4 and x = -3/2

8 0

2 years ago

Suppose a brand of light bulbs is normally distributed, with a mean life of 1300 hr and a standard deviation of 50 hr. Find the

tatyana61 [14]

Answer:

Step-by-step explanation:

Since the life of the brand of light bulbs is normally distributed, we would apply the the formula for normal distribution which is expressed as

z = (x - u)/s

Where

x = life of the brand of lightbulbs

u = mean life

s = standard deviation

From the information given,

u = 1300 hrs

s = 50 hrs

We want to find the probability that a light bulb of that brand lasts between 1225 hr and 1365 hr. It is expressed as

P(1225 ≤ x ≤ 1365)

For x = 1225,

z = (1225 - 1300)/50 = - 1.5

Looking at the normal distribution table, the probability corresponding to the z score is

0.06681

For x = 1365,

z = (1365 - 1300)/50 = 1.3

Looking at the normal distribution table, the probability corresponding to the z score is

0.9032

Therefore

P(1225 ≤ x ≤ 1365) = 0.9032 - 0.06681 = 0.8364

7 0

3 years ago

Keisha's boat has a top speed of 9 miles per hour in still water. While traveling on a river at top speed, she went 10 miles ups

neonofarm [45]

If she went 10 miles upstream in the same time as she went 20 miles downstream, that means the downstream speed is twice the upstream speed.

The speed is still water is 9 mph.
The speed of the current is c.
Going downstream, the current adds speed, so the sped downstream is 9 + c.
The speed upstream is 9 - c.
9 + c is twice 9 - c.

9 + c = 2(9 - c)

9 + c = 18 - 2c

3c = 9

c = 3

Answer: The speed of the current is 3 mph.

Check:
9 + c = 12
9 - c = 6
By taking into the account the speed of the current, the downstream speed, 12 mph, is indeed twice the upstream sped, 6 mph.

6 0

3 years ago