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3 years ago

How many solutions does x2 - 10x = -25 have?

Mathematics

1 answer:

Nataly_w [17]3 years ago

3 0

To solve, first add 25 to both sides to get

${x}^{2} - 10x + 25 = 0$

Then factor to get

$(x - 5)(x - 5) = 0$

$x - 5 = 0$

$x = 5$

There is only one solution, x = 5.

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Which recursive formula can be used to generate the sequence shown, where f(1) = 5 and n > 1?

saveliy_v [14]

You can try them out and see which one works.

a: f(2) = f(1) +6 = 5+6 = 11 . . . . . . not this one

b: f(1) = f(2) -6 = -1-6 = -7 . . . . . . not this one (5 ≠ -7)

c: f(2) = f(1) - 6 = 5 - 6 = -1 . . . . . this gives the right f(2)

d: f(2 = -6(f(1) = -6(5) = -30 . . . . not this one

_____

The appropriate choice is ...

... f(n +1) = f(n) - 6

— — — — —

You can also recognize that the next term is 6 less than the current one, so f(n+1) = f(n) - 6, which corresponds to the 3rd selection.

7 0

3 years ago

Read 2 more answers

Find the inverse Laplace transform f(t) of the function F(s). Write uc for the Heaviside function that turns on at c, not uc(t).

zzz [600]

Answer:

F(t) $=\frac{-1}{2}e^{7(t-7)}+\frac{1}{2}e^{-7(t-7)}$

Step-by-step explanation:

We have given $F(S)=\frac{7e^{-7s}}{s^2-49}$

Now $F(S)=e^{-7s}G(s)$

Here $G(S)=\frac{7}{S^2-49}$

Now first find the Laplace inverse of G(S)

Using partial fraction

$\frac{7}{(s+7)(s-7)}=\frac{A}{(S+7)}+\frac{B}{S-7}$

$7=A(S-7)+B(S+7)$

On comparing the coefficient

$A=\frac{1}{2}$ and $B=\frac{-1}{2}$

On putting the value of A and B

$G(S)=\frac{-1}{2(S+7)}+\frac{1}{2(S+7)}$

Taking inverse Laplace

$G(t)=\frac{-1}{2}e^{7t}+\frac{1}{2}e^{-7t}$

Now in G(s) there is onether term $e^{-7s}$

So F(t) $=\frac{-1}{2}e^{7(t-7)}+\frac{1}{2}e^{-7(t-7)}$

6 0

3 years ago

What is the denominator of 23/24

harina [27]

The denominator is 24 in the fraction

7 0

3 years ago

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Monday: 10 apples and 5 bananas

goldfiish [28.3K]

Answer:

An apple costs £0.25

A banana costs £0.34

Step-by-step explanation:

5 0

3 years ago

Can you explain to me (detailed) on how to do this problem? I will give you a brainly if you get this right.

7nadin3 [17]

Answer:

60 m^2

Step-by-step explanation:

To solve the area, solve the triangle and rectangle separately.

Solve the rectangle:

Multiply 10 and 4 to get the area of 40 m^2.

Solve the triangle:

Multiply 10 and 4, then divide by 2. The formula for a triangle's area is base*height/2. The area is 20.

Add together:

40+20 = 60 m^2

6 0

3 years ago