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zloy xaker [14]
3 years ago
9

Which expression is a way to represent the ratio of a to b?

Mathematics
1 answer:
kiruha [24]3 years ago
4 0
It’s 35 and 23 and also it can be mans at the the cakes
You might be interested in
In a quiz featuring 10 questions 5 marks are given for a correct answer and 2 for an incorrect answer. Jodie scored 15 and knows
Bingel [31]
I think Mark got 6 correct and his score was 13
3 0
4 years ago
If f(x) = 4x - 8 and g(x) = 5x + 6, find (f+ g)(x).
yan [13]

Answer:

9x - 2

Step-by-step explanation:

f(x) = 4x - 8

g(x) = 5x + 6

because it's (f + g)(x), we can simply add the functions together

<em>{note: don't get thrown off by the (x) being separate parentheses--</em><u><em>distributing </em></u><em>the x first can help it look familiar:</em>

<em>(x)(f + g) </em>

<em>fx + gx,</em>

<em>it's the same thing}</em>

(4x - 8) + (5x + 6)

here, we want to combine like terms to simplify:

4x + 5x - 8 + 6

4x + 5x  -   2

9x - 2

So, (f + g)(x) = 9x - 2

hope this helps!! have a lovely day :)

5 0
2 years ago
Find the general solution to the homogeneous differential equation. d2ydx2−1dydx−30y=0 d2ydx2−1dydx−30y=0 Use c1c1 and c2c2 in y
lukranit [14]

Answer:

The general solution of second order homogeneous differential equation is y(x)=c_1e^{6x}+c_2e^{-5x}

Step-by-step explanation:

To find the general solution of this second order homogeneous differential equation \frac{d^2y}{dx^2}-\frac{dy}{dx}-30y=0 we are going to use this Theorem:

<em>Given the differential equation a \ddot{y}+b\dot{y}+cy =0, a\neq 0, consider the quadratic polynomial ax^2+bx+c, called the</em><em> characteristic polynomial.</em><em> Using the quadratic formula, this polynomial always has one or two roots, call them r and s. The general solution of the differential equation is:</em>

<em>(a) \ds y=Ae^{rt}+Be^{st} if the roots r and s are real numbers and r\not=s.</em>

<em>(b) \ds y=Ae^{rt}+Bte^{rt}, if r=s is real.</em>

<em>(c) \ds y=A\cos(\beta t)e^{\alpha t}+B\sin(\beta t)e^{\alpha t}, if the roots r and s are complex numbers \alpha+\beta i and \alpha-\beta i</em>

Applying the above Theorem we have:

\mathrm{Substitute\quad }\frac{d^2y}{dx^2},\:\frac{dy}{dx}\mathrm{\:with\:}\ddot{y},\dot{y}

\ddot{y}-\dot{y}-30y=0

The characteristic polynomial is x^2-x-30 and we find the roots as follows:

\mathrm{Break\:the\:expression\:into\:groups}

\left(x^2+5x\right)+\left(-6x-30\right)

\mathrm{Factor\:out\:}x\mathrm{\:from\:}x^2+5x\mathrm{:\quad }x\left(x+5\right)

\mathrm{Factor\:out\:}-6\mathrm{\:from\:}-6x-30\mathrm{:\quad }-6\left(x+5\right)

\mathrm{Factor\:out\:common\:term\:}x+5

\left(x+5\right)\left(x-6\right)

The roots of characteristic polynomial are r=-5 and s=6

Therefore the general solution of second order homogeneous differential equation is y(x)=c_1e^{6x}+c_2e^{-5x}

5 0
3 years ago
Find the difference. Write your answer in simplest form as a fraction or mixed number.
Harrizon [31]

Answer:

-2

Step-by-step explanation:

4 0
3 years ago
Solve for the value r.<br>​
klio [65]

Answer:

R = 8.3144598 J. mol-1. K-1.

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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