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Oksana_A [137]
3 years ago
5

Heyy can you help me out on this question please

Mathematics
1 answer:
defon3 years ago
8 0
We can use quadratic formula to determine the roots of the given quadratic equation.

The quadratic formula is:

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

b = coefficient of x term = 5
a = coefficient of squared term = 1
c = constant term = 7

Using the values, we get:

x= \frac{-5+- \sqrt{25-4(1)(7)} }{2(1)} \\  \\ 
x= \frac{-5+- \sqrt{-3} }{2}

So, the correct answer to this question are option E and F
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Read 2 more answers
1 point) Are the functions f,g, and h given below linearly independent? f(x)=e3x+cos(5x), g(x)=e3x−cos(5x), h(x)=cos(5x). If the
Fynjy0 [20]

Answer:

Functions are linearly dependent (are not linearly independent.)

Step-by-step explanation:

Remember that two functions f(x), g(x) and h(x) are said linearly independent on an interval I if the <em>only solution</em> to the equation

\alpha f(x)+\beta g(x)+\omega h(x)=0, \ \text{for all } x\in I

is the trivial one: α = 0, β = 0, ω = 0. If they are not linearly independent, they are called linearly dependent.

Now, let f(x), g(x) and h(x) be the functions:

f(x)=e^{3x}+\cos(5x),

g(x)=e^{3x}-\cos(5x),

h(x)=\cos(5x).

Then, letting α = 1, β= -1 and ω = -2, we see that:

\alpha f(x)+\beta g(x)+ \omega h(x)=e^{3x}+\cos(5x)-e^{3x}+\cos(5x)+2\cos(5x)=0.

Hence, the functions f(x), g(x) and h(x) are not linearly independent, or equivalently, are linearly dependent.

8 0
3 years ago
Fernanda has a collection of 200 seashells from corpus christi she gage her sister one-fifth of her collection how many seashell
Katarina [22]

Answer: 160

Step-by-step explanation: She gave her sister one fifth of the collection; one fifth written as a percent is 20% (I did one and divided it by five). To turn 20% to a decimal I didved by 100 to get 0.20. I multiplied 200 and 0.20 and got 40. 40 is the amount of shells given to her sister, so you would subtract 40 from 200 to find how many shells were left. 200-40=160.

4 0
3 years ago
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