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3 years ago

What is y=8.5x contasnt of proportionality

1 answer:

5 0

The constant of proportionality represents the unit cost .You use the equation y = 8.5 x to calculate the total cost y in dollars for x in what ever you are buying

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Find the general solution for cos x = 0, where n is an integer.

Romashka-Z-Leto [24]

First we solve this equation:
x = cos^-1(0) = pi/2 and 3pi/2

Now, this is the answer for angles between 0 and 2pi

but there are "negative angles" and angles larger than 2pi
so the general solution that includes all of these cases is:

x = pi/2 + n*pi

here n is any integer.

6 0

3 years ago

2, 9, 16, 23, Number pattern expression equations

algol [13]

Answer:

see below

Step-by-step explanation:

2+7 = 9

9+7 = 16

16+7 = 23

We are adding 7 each time

an = a1+ 7(n-1) where an is the nth term a1 is the first term and n is the term number

an = 2 + 7n - 7

an = 7n -5

an+1 = an +7

7 0

4 years ago

Read 2 more answers

I need help..Please make it correct..

STatiana [176]

Answer:

11/13

Step-by-step explanation:

3/13, 5/13, 7/13, 9/13, 11/13

3/13

3/13 + 2/13 = 5/13

5/13 + 2/13 = 7/13

7/13 + 2/13 = 9/13

9/13 + 2/13 = 11/13

4 0

3 years ago

The variable s varies directly as the square of t. When s = 4, t = 12. Nick’s work finding the value of t when s = 48 is shown:

Colt1911 [192]

Answer:

C - He substituted incorrectly when calculating the constant of variation.

7 0

3 years ago

Write a quadratic equation given the roots -1/3 and 5, show your work

Travka [436]

$\boxed{(x - a)(x - b) = 0}$

The equation above is the intercept form. Both a-term and b-term are the roots of equation.

$x = - \frac{1}{3} \\ x = 5$

These are the roots of equation. Therefore we substitute a = - 1/3 and b = 5 in the equation.

$(x + \frac{1}{3} )(x - 5) = 0$

Here we can convert the expression x+1/3 to this.

$x + \frac{1}{3} = 0 \\ 3x + 1 = 0$

Rewrite the equation.

$(3x + 1)(x - 5) = 0$

Simplify by multiplying both expressions.

$3 {x}^{2} - 15x + x - 5 = 0 \\ 3 {x}^{2} - 14x - 5 = 0$

Answer Check

Substitute the given roots in the equation.

$3 {(5)}^{2} - 14(5) - 5 = 0 \\ 75 - 70 - 5 = 0 \\ 75 - 75 = 0 \\ 0 = 0$

$3( - \frac{1}{3} )^{2} - 14( - \frac{1}{3}) - 5 = 0 \\ 3( \frac{1}{9} ) + \frac{14}{3} - 5 = 0 \\ \frac{1}{3} + \frac{14}{3} - \frac{15}{3} = 0 \\ \frac{15}{3} - \frac{15}{3} = 0 \\ 0 = 0$

The equation is true for both roots.

Answer

$\large \boxed {3 {x}^{2} - 14x - 5 = 0}$

8 0

3 years ago