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2 years ago

Solve the equation for x, where x is a real number (5 points): 2x^2 + 8x + 3 = 0

1 answer:

6 0

To find the solutions to this equation, we can apply the quadratic formula. This quadratic formula solves equations of the form ax^2 + bx + c = 0
                                           x = [ -b ± √(b^2 - 4ac) ] / (2a)
                                           x = [ -8 ± √((8)^2 - 4(2)(3)) ] / ( 2(2) )
                                           x = [-8 ± √(64 - (24) ) ] / ( 4 )
                                           x = [-8 ± √(40) ] / ( 4)
                                           x = [-8 ± 2*sqrt(10) ] / ( 4 )
                                           x = -2 ± sqrt(10)/2
The answers are -2 + sqrt(10)/2 and -2 - sqrt(10)/2.

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PLEASE HELP THIS IS A TIMED QUESTION ON A QUIZ!!!

pantera1 [17]

Answer:

a) 11, d) 25, e) 14, b) 25, c) 28, f) 33

Step-by-step explanation:

<h3>Given</h3>

ΔBDF, with H is the centroid of BDF, DF = 50, CF = 42, and BH = 22

HE , DE , CH, EF, HF, BE

<h3>Solution</h3>

As per definition of the centroid, the points C, E and G are midpoints of respective sides and the length of short and long distances from the centroid have ratio of 1/3 and 2/3 of median

a) HE = 1/2BH = 1/2(22) = 11
d) DE = 1/2DF = 1/2(50) = 25
e) CH = 1/3CF = 1/3(42) = 14
b) EF = DE = 25
c) HF = 2/3CF = 2/3(42) = 28
f) BE =BH + HE = 22 + 11 = 33

3 0

2 years ago

Is the number of points scored during a basketball game a discrete random variable, a continuous random variable, or not a ran

monitta

Answer: Option (B) is correct.

Step-by-step explanation:

The number of points scored during a basketball game is a discrete random variable.

Discrete Random variable:

A discrete random variable is a variable whose value can be evaluated by counting. It is also referred as a countable and finite values. Examples of discrete random variable are as follows:

-The quantity of runs scored during a ball game

- Number of hits a site gets during seven days

- Number of lights that wear out in the following year in a stay with 13 bulbs

- Number of pigeons in a city

- Number of free-toss endeavors before the principal shot is missed

3 0

2 years ago

Read 2 more answers

If the 6th term of an arithmetic progres- sion is 11 and the first term is 1, find the common difference.

Darina [25.2K]

Answer:

Step-by-step explanation:

An arithmetic progression with first term a and common difference d has the following first 6 terms:

a, a + d, a + 2d, a + 3d, a + 4d, a + 5d

We are given a = 1 and a + 5d = 11.

1 + 5d = 11

5d = 10

d = 2

Answer: The common difference is 2.

3 0

1 year ago

One operator is holding a laser pointer at a height of 9 feet whose beam is reflected on a horizontal reflecting surface at a po

lutik1710 [3]

Answer:

The height (in feet) at which the laser will impact the wall is 6.75 feet

Step-by-step explanation:

The given parameters are;

The height from which the laser beam operator is holding the laser = 9 feet

The horizontal distance away from the pointer the beam is reflected = 8 feet

Given that we have;

$f(x) = \dfrac{9}{8} \times \left | x - 8\right | = y$

When x = 8, the point of reflection, the height, f(x) is given as follows;

$f(x) = \dfrac{9}{8} \times \left | 8 - 8\right | = 0$

When x = 7, the point of reflection, the height, f(x) is given as follows;

$f(x) = \dfrac{9}{8} \times \left | 7 - 8\right | = \dfrac{9}{8}$

Therefore, given that the point of reflection is at an elevation of 0 relative to the 9 feet of the laser source (pointer), by tan rule, we have;

$tan(\theta) = \dfrac{Opposite \ side}{Adjacent \ side} =\dfrac{9}{8} = \dfrac{h}{7}$

Where;

h = The height at which the laser meets the wall

$h = \dfrac{9 \times 7}{8} =7.875$

Given that the wall the laser meets is at the point x with elevation 9/8, the height, y, at which the laser meets the wall is therefore;

$y = \dfrac{9 \times 7}{8} - \dfrac{9}{8} = \dfrac{54}{8} = 6.75 \ feet$

The height (in feet) at which the laser will impact the wall = 6.75 feet.

7 0

2 years ago

Find the percent markdown rounded to the nearest percent

marysya [2.9K]

You are going to find the different of the new price from the old price . 175.90-153.77=22.13

then you divide the difference by the new prince 22.13/153.77= 0.1439

you are you to multiple the decimal by 100

Your answer is going to be 14.39
Your estimate can be 14%

5 0

3 years ago