Please help me with this problem

Mathematics

1 answer:

Assoli18 [71]2 years ago

4 0

7y+3=10y+9
-3 -3
7y=10y+6
-10y -10y
3y=6
Y=2

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What is the vertex form of Y = x2 - 6x + 6?

ahrayia [7]

Answer:

$\large\boxed{y=(x-3)^2-3}$

Step-by-step explanation:

The vertex form of a quadratic equation y = ax² + bx + c:

y = a(x - h)² + k

(h, k) - coordinates of a vertex

We have the equation y = x² - 6x + 6.

Convert to the vertex form:

$y=x^2-2(x)(3)+6\\\\y=\underbrace{x^2-2(x)(3)+3^2}_{(*)}-3^2+6\qquad\text{use}\ (a-b)^2=a^2-2ab+b^2\qquad(*)\\\\y=(x-3)^2-9+6\\\\y=(x-3)^2-3\to h=3,\ k=-3$

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2 years ago

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(a) A photography student borrows RM2 500 to buy a camera. The bank loans this money at a rate of 9 % capitalized monthly. What

Monica [59]

Answer:

The student will have to reimburse 2,991.03 two years later.

Step-by-step explanation:

This is a compound interest problem:

The compound interest formula is given by:

$A = P(1 + \frac{r}{n})^{nt}$

In which A is the amount of money, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit t and t is the time the money is invested or borrowed for.

In this problem, we have that:

A is the amount the student will have to reimburse two years later.

P is his loan. so $P = 2,500$

The bank loans this money at a rate of 9 % capitalized monthly. This means that $r = 0.09$ and $n = 12$ , since the money is compounded monthly, this means, 12 times in a year.