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4 years ago

Determine whether 4 is a solution of the equation 9x+7=40. Is 4 a solution?

Mathematics

2 answers:

Allisa [31]4 years ago

5 0

Plug in 4 for x

9(4) + 7 = 40

36 + 7 = 40

43 ≠ 40

No, 4 is not a solution

hope this helps

notka56 [123]4 years ago

4 0

Question:

Determine whether 4 is a solution of the equation 9x+7=40.

Is 4 a solution?

Solution:

9(4) + 7 = 40

= 36 + 7

= 43

Final Answer:

4 is not a solution

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Solve these linear equations in the form y=yn+yp with yn=y(0)e^at.

WINSTONCH [101]

Answer:

a) $y(t) = y_{0}e^{4t} + 2$ . It does not have a steady state

b) $y(t) = y_{0}e^{-4t} + 2$ . It has a steady state.

Step-by-step explanation:

a) $y' -4y = -8$

The first step is finding $y_{n}(t)$ . So:

$y' - 4y = 0$

We have to find the eigenvalues of this differential equation, which are the roots of this equation:

$r - 4 = 0$

$r = 4$

So:

$y_{n}(t) = y_{0}e^{4t}$

Since this differential equation has a positive eigenvalue, it does not have a steady state.

Now as for the particular solution.

Since the differential equation is equaled to a constant, the particular solution is going to have the following format:

$y_{p}(t) = C$

$(y_{p})' -4(y_{p}) = -8$

$(C)' - 4C = -8$

C is a constant, so (C)' = 0.

$-4C = -8$

$4C = 8$

$C = 2$

The solution in the form is

$y(t) = y_{n}(t) + y_{p}(t)$

$y(t) = y_{0}e^{4t} + 2$

b) $y' +4y = 8$

The first step is finding $y_{n}(t)$ . So:

$y' + 4y = 0$

We have to find the eigenvalues of this differential equation, which are the roots of this equation:

$r + 4 =$

$r = -4$

So:

$y_{n}(t) = y_{0}e^{-4t}$

Since this differential equation does not have a positive eigenvalue, it has a steady state.

Now as for the particular solution.

Since the differential equation is equaled to a constant, the particular solution is going to have the following format:

$y_{p}(t) = C$

$(y_{p})' +4(y_{p}) = 8$

$(C)' + 4C = 8$

C is a constant, so (C)' = 0.

$4C = 8$

$C = 2$

The solution in the form is

$y(t) = y_{n}(t) + y_{p}(t)$

$y(t) = y_{0}e^{-4t} + 2$

6 0

3 years ago

Determine a polynomial that represents the area of the parallelogram. A=

sp2606 [1]

Answer:

4b² - 16

Step-by-step explanation:

The formula to find the area of a parallelogram equals $bh$ , where b = base and h - height. We're given the base as 2b + 4 and the height as 2b - 4.

$(2b+4)*(2b-4)=(2b+4)(2b-4)$
$(2b+4)(2b-4)=(2b)(2b)+(2b)(-4)+(4)(2b)+(4)(-4)$
$4b^2-8b+8b-16$
$4b^2-16$

Therefore, the answer is 4b² - 16.

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2 years ago

Simplify. 5x+3(x+2)+3 6x + 8 8x + 9 8x + 5 5x + 8

beks73 [17]

$\\ \sf\longmapsto 5x+3(x+2)+3$

$\\ \sf\longmapsto 5x+3x+6+3$

$\\ \sf\longmapsto (5+3)x+9$

$\\ \sf\longmapsto 8x+9$

7 0

3 years ago

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Natalija [7]

Answer:

<h2>Line 1 and line 2: ●Parallel ○Perpendicular ○Nether</h2><h2>Line 1 and line 3: ○Parallel ○Perpendicular ●Nether</h2><h2>Line 2 and line 3: ○Parallel ●Perpendicular ○Nether</h2>

<h2>The Black circle is the answer</h2>

hope you add brainliest and 5 stras

<h2>Step-by-step explanation:</h2><h2>Goodbluck</h2>

dont forget add brainliest

and 5 stars

<h2>THANK YOU!!!</h2>

6 0

3 years ago

What is the area of the shaded region?

jolli1 [7]

Hello!

<h2>Answer:</h2><h2 />

$\boxed{ \bf The~area~of~the~shaded~region~is~B.~24 mm^2}$

______________________________________________________

<h2>Explanation:</h2>

To find the area of the shaded region, we must find the area of the inner white triangle and subtract it from the area of the outer blue one.

Outer:

A = $\frac{1}{2}$ bh

A = $\frac{1}{2}$ (12 · 5)

A = $\frac{1}{2}$ (60)

A = 30 mm²

Inner:

A = $\frac{1}{2}$ bh

A = $\frac{1}{2}$ (4 · 3)

A = $\frac{1}{2}$ (12)

A = 6

30 - 6 = 24

7 0

3 years ago

Determine whether 4 is a solution of the equation 9x+7=40. Is 4 a​ solution?

Determine whether 4 is a solution of the equation 9x+7=40. Is 4 a solution?