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hammer [34]
3 years ago
15

Make y the subject x=3y+2

Mathematics
1 answer:
LekaFEV [45]3 years ago
8 0

Answer:

y=\frac{x-2}{3}

Step-by-step explanation:

x=3y+2 ⇔ x - 2 = 3y ⇔ y = (x - 2)/3

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What is 5x+4=26 I don’t understand it please help thanks
babunello [35]

Answer: 4.4

Step-by-step explanation:

First you need to take 4 from both sides and then your left with 5x=22

Then you divide from both sides and you get 4.4.

That is your final answer.

3 0
2 years ago
Read 2 more answers
Rick is buying a small sailboat for $3,000 with a down payment of $1,000. The bank approved a simple interest flat rate loan for
Anni [7]

Option C

Monthly loan payment is $ 93.33

<em><u>Solution:</u></em>

From given question,

Cost of sailboat = $ 3000

Down payment = $ 1000

<em><u>Hence net principal is given as:</u></em>

net principal = p = $ 3000 - $ 1000 = $ 2000

p = $ 2000

The bank approved a simple interest flat rate loan for 2 years at 6% APR

Hence number of years = 2 years

Rate of interest = 6 %

<em><u>Let us first calculate the simple interest</u></em>

The formula for simple interest is given as:

\text{ simple interest } = \frac{ p \times n \times r}{100}

Substituting the given values,

\text{ simple interest } = \frac{ 2000 \times 2 \times 6}{100}\\\\\text{ simple interest } = 20 \times 2 \times 6 = 240

Thus simple interest = $ 240

Total amount payable = principal + simple interest

Total amount payable = $ 2000 + $ 240

Total amount payable = $ 2240

<em><u>How much are the monthly loan payments?</u></em>

Here number of years = 2 years

To calculate the monthly payment divide the total amount payable by 24 (since 2 year = 24 months )

\text{ Monthly loan payment } = \text{ Total amount payable } \div 24

\text{ Monthly loan payment } = \frac{2240}{24} = 93.33

Thus monthly loan payment is $ 93.33 Option C is correct

4 0
2 years ago
Line d is parallel to line c in the figure below.
Lubov Fominskaja [6]

Answer:

gas station= 25.12

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Find the expansion of cos x about the point x=0
ycow [4]

Answer:

Cos x = 1 - \frac{x^2}{2!} + \frac{x^4}{4!} - \frac{x^6}{1!} + ...

Step-by-step explanation:

We use Taylor series expansion to answer this question.

We have to find the expansion of cos x at x = 0

f(x) = cos x, f'(x) = -sin x, f''(x) = -cos x, f'''(x) = sin x, f''''(x) = cos x

Now we evaluate them at x = 0.

f(0) = 1, f'(0) = 0, f''(0) = -1, f'''(0) = 0, f''''(0) = 1

Now, by Taylor series expansion we have

f(x) = f(a) + f'(a)(x-a) + \frac{f''(a)(x-a)^2}{2!} + \frac{f'''(a)(x-a)^3}{3!} + \frac{f''''(a)(x-a)^4}{4!} + ...

Putting a = 0 and all the values from above in the expansion, we get,

Cos x = 1 - \frac{x^2}{2!} + \frac{x^4}{4!} - \frac{x^6}{1!} + ...

8 0
3 years ago
Three roots of the polynomial equation x4 - 4x3 - 2x2 + 12x + 9 = 0 are 3, -1 and -1. Explain why the fourth root must be a real
LiRa [457]
Descares Theorem says that the number of roots of a polynomial is equal to its highest exponent, and the roots could be real and/or imaginary (complex).

However is their is one complex root (a + i.b), it's conjugate is also
a root (a-i.b).

In the equation x⁴ - 4x³ - 2x² + 12x + 9 = 0, we have already 3 roots, then the 4rth cannot be a complex one since we don't have a fifth for its conjugate.

3 0
3 years ago
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