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Jet001 [13]
3 years ago
14

Use the quadratic formula to find both solutions to the quadratic equation given below 4x^2+3x-1=0

Mathematics
2 answers:
Aneli [31]3 years ago
7 0
    4x²  +  3x    -  1 = 0
a=4      b=3   c=-1

Quadratic formula:
x =\frac{-b +/-  \sqrt{b^{2} -4ac} }{2a} =  \frac{-3 +/-  \sqrt{3^{2} - 4(4)(-1)}}{2(4)}
= \frac{-3 +/-  \sqrt{9 + 16}}{8} =  \frac{-3 +/-  \sqrt{25}}{8} =  \frac{-3 +/-  5}{8}
= \frac{-3 + 5}{8} , \frac{-3 - 5}{8}
= \frac{2}{8}, \frac{-8}{8}
= \frac{1}{4}, -1
























In-s [12.5K]3 years ago
4 0

Answer: -1 and 1/4

Step-by-step explanation: a p e x

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You are playing a board game with a friend. She owns and has developed the tiles Green Gardens and Silver Sidewalks. If you roll
IgorC [24]

Answer:

The expected value can be calculated as:

Es = x₁*p₁ + x₂*p2 + .....

where xₙ is the event (the amount of money that you win or lose, and pₙ is the probability for the event)

for example, in a 10 side dice, the probability of obtaining a specific number is 1/10.

we have a d10 i guess (a dice with 10 sides, 1 to 10)

if you roll from 1 to 7, nothing happens.

If you roll an 8, you lose $1500

if you roll a 9, you lose $75

if you roll a 10, you lose $2000 (and the game)

the expected value is,

Es = 1/10*(7*0 - 1*$1500 - 1*$75 - 1*$2000) = -$357

in the second case, you start paying $500.

if you roll a 7, you must pay $1000, if else, nothing happens.

Then the expected value is

Es = -$500 - 1/10*(-1*$1000 + 9*$0) = -$600

So the expected value is smaller in this case, so the deal is not fair

7 0
3 years ago
Find the midpoint of the segment with the given endpoints.<br> (0,0) and (6.-8)
aleksandr82 [10.1K]
The midpoint of the segment should be (3, -4)
6 0
3 years ago
Can someone tell me how to do this ?
ElenaW [278]

i am not 100% sure but...

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<u>    - 3    - 3 </u>

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7 0
3 years ago
Find the equation for the line shown on the right.
erastova [34]

Answer:

x = 8

Step-by-step explanation:

Given

See attachment for graph

Required

The line graph

First, consider the following points on the graph.

(x_1,y_1) = (8,0)

(x_2,y_2) = (8,8)

First, calculate the slope.

m = \frac{y_2 - y_1}{x_2 - x_1}

m = \frac{8-0}{8-8}

m = \frac{8}{0}

m = undefined

Since, the slope is undefined; we simply consider only the value of x.

The line equation is:

x = 8

7 0
3 years ago
A 20-meter long cable is used to support a telephone pole, holding the pole to make the pole perpendicular to the ground. If the
natka813 [3]

Answer:

17.32 meters

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We realize the cable is the hypotenuse and then that height would be the new side, the measurement would not change once hypotenuse is found.

60 deg is the lower angle as it meets the ground base.

Sin (60) = 0.8660254038 x 20 = 17.32m

0.86 reduction = a  

We use Sin (60) = a  a x 20 to find the pole as above.

We use Tan (60) x base to find 20m to check hypotenuse if base was given = length of floor x tan(60) etc.

4 0
3 years ago
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