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melisa1 [442]
3 years ago
11

PLEASE HELP ME FAST

Mathematics
2 answers:
rjkz [21]3 years ago
4 0

Answer:

-4.0 and 2.1

Step-by-step explanation: on the number line its 1 behind -0.5 and one infront of 2

Scorpion4ik [409]3 years ago
3 0

Answer: -0.6

Step-by-step explanation: i mean, its pretty easy ngl

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Consider the differential equation y'' − y' − 12y = 0. Verify that the functions e−3x and e4x form a fundamental set of solution
Inga [223]

Answer:

e^(-3x) and e^(4x) form a fundamental set of solutions of the differential equation

y'' - y' - 12y = 0.

Since their wronskian is 7e^x and not 0

Step-by-step explanation:

Given the differential equation

y'' - y' - 12y = 0.

We are required to verify that the functions e^(-3x) and e^(4x) form a fundamental set of solutions of the differential equation on the interval (−[infinity], [infinity]). They form a fundamental set if they are linearly independent, and they are linearly independent if their wronkian is not zero, otherwise, they are linearly dependent.

Now, we need to find the Wronskian of e^(-3x) and e^(4x), and see if it is equal to zero or not.

The wrinkles of two functions y1 and y2 is given as the determinant

W(y1, y2) = |y1...........y2|

......................|y1'.........y2'|

W(e^(-3x), e^(4x))

= |e^(-3x)............e^(4x)|

...|-3e^(-3x)......4e^(4x)|

= e^(-3x) × 4e^(4x) - (-3e^(-3x) × e^(4x))

= 4e^x + 3e^x

= 7e^x

≠ 0

Since the wronskian is not zero, we conclude that the are linearly independent, and hence, form a set of fundamental solution.

3 0
3 years ago
A large bottle of dragon breath mouthwash costs 5 dollars before tax on $5.30 after-tax what is the percentage of the tax
adell [148]
Tax would be 6%.

To find this you simply to 5.30/5 which gives you .06, meaning 6%
5 0
3 years ago
5x^2-41x+8=0 please helpp
jeka94

Answer:

Use the quadratic formula

=

−

±

2

−

4

√

2

x=\frac{-{\color{#e8710a}{b}} \pm \sqrt{{\color{#e8710a}{b}}^{2}-4{\color{#c92786}{a}}{\color{#129eaf}{c}}}}{2{\color{#c92786}{a}}}

x=2a−b±b2−4ac​​

Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.

5

2

−

4

1

+

8

=

0

5x^{2}-41x+8=0

5x2−41x+8=0

=

5

a={\color{#c92786}{5}}

a=5

=

−

4

1

b={\color{#e8710a}{-41}}

b=−41

=

8

c={\color{#129eaf}{8}}

c=8

=

−

(

−

4

1

)

±

(

−

4

1

)

2

−

4

⋅

5

⋅

8

√

2

⋅

5

2

Simplify

3

Separate the equations

4

Solve

Solution

=

8

=

1

5

7 0
2 years ago
Read 2 more answers
Rewrite without absolute value sign for different values of x: y=− 2x+5 + 2x−5 if x<−2.5; if x>2.5; if −2.5≤x≤2.5
valentina_108 [34]

Answer:

x<-2.5 =(2x+5)-(2x-5) 2. 5-5

3.0

Step-by-step explanation:

PLz make brainlestiset answer

4 0
3 years ago
Could someone help please
pogonyaev

Answer:

3.5 m/s

Step-by-step explanation

Remove brackets

d = t^2 + 0.2t + 3.3t + .66              

Combine

d = t^2 + 3.5t + .66

The initial velocity  is 3.5

3 0
3 years ago
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