MATHEMATICS HIGH SCHOOL

A skateboard company tracks the sales of their short boards and long boards. The company's records show the sales of short boards decrease every three months as represented by expression A, where t is the number of years that the boards have been for sale.expression a:624(o.94)^4t
The company's records show that the sales of long boards increase every four months as represented by expression B, where t is the number of years that the boards have been for sale.
expression b :725(1.12)^3t
Select the statements that give a correct interpretation of the above expressions.

Expression A grows at a rate of 5% every three months, while expression B decays at
a rate of 12% every four months.

Expression A has an initial value of 0.95, while expression B has an initial value of 1.12.

Expression A decays at a rate of 5% every three months, while expression B grows at
a rate of 12% every four months.

Expression A has an initial value of 624, while expression B has an initial value of 725.

Expression A decays at 5% every three years, while expression B grows at a rate of 12% every four years.

Answers

Answer 1

Answer:

Answer:

Expression A decays at a rate of 5% every three months, while expression B grows at rate of 12% every four months

Expression A has initial value of 624, while expression B has initial value of 725

Step-by-step explanation:

plato correct

Answer 2

Answer: i really need help with this you have to choose all the ones that apply please help

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simplest form 4 : 2 : 2 is 2:1:1

I need help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer: 151/20 < 7.611 < 7 5/8 < 8.66

Step-by-step explanation:

First convert the fractions to decimals.

151/20= 7.55

7 5/8 = 7.625

The other two numbers are 7.611 and 8.66

In all the numbers the least is 7.55, then comes , 7.611, 7.625 and 8.66 .

What is the length of s?

Answers

Answer:

20.78460969 = s

Step-by-step explanation:

tan theta = opposite side / adjacent side

tan 60 = s /12

Multiply each side by 12

12 tan 60 = s /12 *12

20.78460969 = s

What is the value of x, when 10(x + 2) = 5(x + 8)?A) x = 1
B) x = 2
C) x = 4
D) x =
5
6

Answers

The correct answer to this question is B

Answer:

Step-by-step explanation:

2x (z-1) + 8x helpppp

Answers

2x(z-1)+8x
2xz-2x+8x
2xz+6x

Which of the following is the graph of f(x) = x2 − 5x + 4?

Answers

Answer:

refer attachment for the graph.

Step-by-step explanation:

Given: The equation $f(x)=x^2-5x+4$

We have to draw the the graph for the given equation.

Consider the given equation $f(x)=x^2-5x+4$

The vertex of the parabola of the form $f(x)=ax^2+bx+c$ is given by $x=-(b)/(2a)$

Here, a = 1 , b = -5 and c = 4

Thus, vertex is

$x_v=-(\left(-5\right))/(2\cdot \:1)=(5)/(2)$

Also, the y coordinate at $x=(5)/(2)$ is

$y_v=\left((5)/(2)\right)^2-5\cdot (5)/(2)+4$

Simplify, we get,

$y_v=-(9)/(4)$

Thus, The vertex of parabola is $\left((5)/(2),\:-(9)/(4)\right)$

y - intercept is the point where x = 0

Plug x = 0 in given equation $f(x)=x^2-5x+4$

$f(0)=0^2-5(0)+4=4$

Thus, y - intercept is (0,4)

Now, we calculate x- intercept

x- intercept is where y is equal to 0.

Put f(x) = 0

We have,

$x^2-5x+4=0$

Solving the given quadratic equation using quadratic formula ,we have

$x_(1,\:2)=(-b\pm √(b^2-4ac))/(2a)$

we have a = 1 , b = -5 and c = 4

$x_(1,\:2)=(-\left(-5\right)\pm √(\left(-5\right)^2-4\cdot \:1\cdot \:4))/(2\cdot \:1)$

Simplify, we have,

$x_(1,2)=(5\pm√(9))/(2)$

Thus, $x_1=4, x_2=1$

Thus, The x - intercept are (4,0) and (0,1)

Plot the graph and we obtain as shown below.

I made a graph of the equation hope this helps.

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