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3 years ago

Can someone give me a quick algebra lesson and solve this example for me?

Mathematics

2 answers:

Ad libitum [116K]3 years ago

5 0

Answer:

3x- 15+6x+2=41

or, 9x-13=41

or, 9x= 54

: x=6

Karolina [17]3 years ago

5 0

Answer:

See below

Step-by-step explanation:

Hi there!

>>Do I subtract or add the coefficients with variables together?

Add the terms with variables. In this case, the terms with variables are 3x and 6x. The communicative property of addition still holds true, so 3x+6x and 6x+3x are the same.

Do NOT subtract terms. If you do, let's take the 3x and 6x from the example above, doing either 3x-6x or 6x-3x would lead to the wrong answer.

Note: if you encounter a situation where if you have let's say, the terms -3x and 17x, -3x+17 and 17x + -3x are exactly the same (commutative property of addition still holds true). DO NOT do 17x - -3x or -3x-17x! Those would lead to the wrong answer.

Now,

We are given the following equation:

3x-15+6x+2=41

And we want to solve it for x

As stated above, we ADD the terms with coefficients together. So 3x+6x=9x.

The same is true for the numbers without variables; -15+2=-13

On the left, we have:

9x-13=41

Add 13 to both sides to remove it from the left side

9x=54

Divide both sides by 9 to isolate x

x=6

Hope this helps!

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Used use euler's method with step size 0.1 to estimate y(0.5), where y(x) is the solution of the initial-value problem y ' = y +

brilliants [131]

We want to solve the Initial Value Problem y' = y + 4xy, with y(0) = 1.

To use Euler's method, define
y(i+1) = y(i) + hy'(i), for i=0,1,2, ...,
where
h = 0.1, the step size.,
x(i) = i*h

1st step.
y(0) = 1 (given) and x(0) = 0.
y(1) ≡ y(0.1) = y(0) + h*[4*x(0)*y(0)] = 1

2nd step.
x(1) = 0.1
y(2) ≡ y(0.2) = y(1) + h*[4*x(1)*y(1)] = 1 + 0.1*(4*0.1*1) = 1.04

3rd step.
x(2) = 0.2
y(3) ≡ y(0.3) = y(2) + h*[4*x(2)*y(2)] = 1.04 + 0.1*(4*0.2*1.04) = 1.1232

4th step.
x(3) = 0.3
y(4) ≡ y(0.4) = y(3) + h*[4*x(3)*y(3)] = 1.1232 + 0.1*(4*0.3*1.1232) = 1.258

5th step.
x(4) = 0.4
y(5) ≡ y(0.5) = y(4) + h*[4*x(4)*y(4)] = 1.258 + 0.1*(4*0.4*1.258) = 1.4593

Answer: y(0.5) = 1.4593

4 0

3 years ago

One number is five less than a second number. Five times the first is 15 more than 6 times the second. Find the numbers

Shalnov [3]

Answer:

x = -45, y = -40

Step-by-step explanation:

Based on the first clue, we find out that

x + 5 = y

5x = 6y + 15

We can re-write the first equation to x = y - 5.

Therefore, the second equation can also be written as 5(y - 5) = 6y + 15

This can be simplified to 5y - 25 = 6y + 15

We can subtract 6y from each side, and add 25 to each side;

5y - 6y = 15 + 25

Therefore, -y = 40

Therefore y = -40.

Now let's plug this back into the original equation, to get : x + 5 = -40

x=-45

4 0

2 years ago

From the table below, determine whether the data shows an exponential function. Explain why or why not.

Ierofanga [76]

X        Δx                                 y             Δy

3                                               1

1        1 - 3 = - 2                        2             2 - 1 = 1

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That is the result of a linear function, not an exponential one.

So, the true statement is given by the option <span>(A) No; the domain values are at regular intervals and the range values have a common sum 1. </span>

8 0

3 years ago

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Len [333]

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3 years ago

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Blababa [14]

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