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3 years ago

How do you find LCM? please give a good explanation!

Mathematics

1 answer:

Anna [14]3 years ago

8 0

Answer:

72xy1

Step-by-step explanation:

becuz the multiple of 9,6 and 24 is 72 and the multiple of x is 1x which is just x and the multiple of y is 1y

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A quadratic function is defined by

ella [17]

Answer:

1. The vertex of the graph of the function is (-4, 7)

2. The vertex represents a minimum value

3. The equation represented by the new graph is g(x) = (x + 4)² + 1

Step-by-step explanation:

The given quadratic function is given in vertex form, y = a·(x - h)² + k, as follows;

g(x) = (x + 4)² + 7

1. By comparing the given quadratic function and the vertex form of a quadratic equation, we have;

a = 1, h = -4, and k = 7

The vertex of the graph of the function, (h, k) = (-4, 7)

2. Given that a = 1 > 0, the graph of the quadratic function opens upwards and the vertex represents a minimum value

3. Shifting the graph 6 units down from where it is now will give;

The vertex = (h, k - 6) = (-4, 7 - 6) = (-4, 1)

h = -b/(2·a), k = (-b²/(4·a) + c = -a·h² + c

c = k + a·h²

Therefore, initial value of the constant term, c = -1×(-4)² + 7 = 23

After the shifting the graph 6 units down, c = 23 - 6 = 17

∴ k = 1 = -a·(-4)² + 17

∴ -16/16 = -1 = -a

a = 1

Therefore, the equation represented by the new graph is g(x) = (x + 4)² + 1.

5 0

3 years ago

Suri solved the equation x squared = 49 and found that x=7. What error did Suri make?

Anastaziya [24]

Answer:

x = $\frac{+}{-}$ 7

Step-by-step explanation:

$x^{2}$ = 49

$\sqrt{49}$ can equal 7 or -7

7 x 7 = 49. -7 x -7 = 49

7 0

3 years ago

Willie changes the quadratic function f(x)=x2?6x+14 to vertex form f(x)=a(x?h)2+k. If Willie does this correctly, what is the va

andrew11 [14]

Answer:

The value of k is 5.

Step-by-step explanation:

Since we know we can convert function's quadratic form to vertex form by completing the square.

f(x)=x2?6x+14

We will add and subtract 9 to our equation in order to complete the square.

$1(x^{2} ?6x+9)-9+14$

Upon completing the square and combining like terms we will get,

$1(x?3)^{2} +5$

Upon comparing Willie's vertex form with our expression we can see that k is 5.

Therefore, the value of k is 5.

8 0

3 years ago

What is the future amount of 12,000 invested for 5 years at 14% compounded monthly?

Triss [41]

The total amount accrued, principal plus interest, with compound interest on a principal of $12,000.00 at a rate of 14% per year compounded 12 times per year over 5 years is $24,067.32.The amount of the initial loan, or principal, is multiplied by one plus the annual interest rate raised to the number of compound periods minus one to determine compound interest.

<h3 /><h3>what is compound interest?</h3>

To begin, change R from a percentage to a decimal, using the formula:

r = R/100 r = 14/100

r = 0.14 rate per year;

Next, find A by solving

A = P(1 + r/n)nt A = 12,000.00(1 + 0.14/12)(12). (5)

A = 12,000.00(1 + 0.011666666666667)(60) (60)

A = $24,067.32

Summary: The total amount accrued, principal plus interest, with compound interest on a principal of $12,000.00 at a rate of 14% per year compounded 12 times per year over 5 years is $24,067.32.

The amount of the initial loan, or principal, is multiplied by one plus the annual interest rate raised to the number of compound periods minus one to determine compound interest. You will then be left with the loan balance plus compound interest.

To learn more about interest refer to:

brainly.com/question/2294792

#SPJ13

8 0

1 year ago

1) Moving a figure around a fixed point in the plane is called making a _ _ _

Tasya [4]

Answer:

isometry

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers