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gayaneshka [121]
3 years ago
7

What are the roots of x in -10x^2+12x-9=0​

Mathematics
1 answer:
Alekssandra [29.7K]3 years ago
6 0

- 10 {x}^{2}  + 12x - 9 = 0 \\ \Leftrightarrow {x}^{2}  -  \frac{6}{5} x +  \frac{9}{10 }  = 0 \\ \Leftrightarrow  {x}^{2}  -  \frac{6}{5}x +  \frac{9}{25}  =  -  \frac{9}{10}  +  \frac{9}{25}  \\ \Leftrightarrow   \underbrace{ {(x -  \frac{3}{5} )}^{2} }_{ \geqslant 0} =  -  \frac{27}{50}  \\ \Leftrightarrow x\in\emptyset \\ \Rightarrow Roots: None

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klasskru [66]

it is a linear equation

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5 0
3 years ago
4 tomatoes and 8 avocados cost $10. Six tomatoes and 14 avocados cost $17. How much does a single avocado and a single tomato co
Nataly_w [17]

Answer:

One avocado costs $1 and one tomato costs $0.50

Step-by-step explanation:

Set up a system of equations where t is the number of tomatoes and a is the number of avocados:

4t + 8a = 10

6t + 14a = 17

Solve by elimination by multiplying the top equation by 3 and the bottom equation by -2:

12t + 24a = 30

-12t - 28a = -34

Add them together and solve for a:

-4a = -4

a = 1

Plug in 1 as a into one of the equations and solve for t:

4t + 8a = 10

4t + 8(1) = 10

4t + 8 = 10

4t = 2

t = 0.5

So, one avocado costs $1 and one tomato costs $0.50

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3 years ago
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Wayne Gretzky scored 50% more points than anyone else who ever played professional Hockey during his 20 seasons in the National Hockey League. He accomplished this amazing feat while playing in 280 fewer games than Gordy Howe, who is the previous record holder. The number of games he played during each season:
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a) The stem and leaf plot for the data can be comfortably obtained from the excel option as follows: XL STAT option in excel as follows:
1. In excel sheet choose XL STAT
2. Then in that choose the visualizing data- uni-variate plots.
3. In univariate plot – chart -select the stem and leaf plot.
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Sever21 [200]

Answer:

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Step-by-step explanation:

In the graph, there are only two values for a graph. In this case, those two values are crackers and calories.

7 0
3 years ago
Read 2 more answers
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