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4 years ago

Simplify this expression 6x-8y-5x+3y

Mathematics

2 answers:

ANTONII [103]4 years ago

7 0

Answer: -7+3y

Step-by-step explanation:

6x-8x-5x+3y

6x-5x= x

x-8x=-7x

-7x+3y

garri49 [273]4 years ago

7 0

Answer:x-5y

Step-by-step explanation: collecting like terms or rearranging we have =6x-5x-8y+3y

=x-5y

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The equation, y = 1250x + 22,850, gives the salary of a person as "y" after the stated number of years (x). Model the data with

Sidana [21]

Answer:

(a) $y = 6250x +17850$ --- The function

(b) $y = 49100$ --- The salary in 5 years

Step-by-step explanation:

Given

$y = 1250x + 22850$

Solving (a): Model the function around (1,24100) and (3,36600)

First, we calculate the slope

$m = \frac{y_2 - y_1}{x_2 - x_1}$

$m = \frac{36600 - 24100}{3 - 1}$

$m = \frac{12500}{2}$

$m = 6250$

The function is then calculated as:

$y = m(x - x_1) + y_1$

$y = 6250(x - 1) + 24100$

$y = 6250x - 6250 + 24100$

$y = 6250x +17850$

Solving (b): Salary in 5 years

Here:

$x = 5$

So:

$y = 6250x +17850$

$y = 6250*5 +17850$

$y = 49100$

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3 years ago

What is the value of z, rounded to the nearest tenth? use the law of sines to find the answer.

DanielleElmas [232]

We can change the law of sines a little bit to match our problem.

$\sf\dfrac{sin(X)}{x}=\dfrac{sin(Y)}{y}=\dfrac{sin(Z)}{z}$

We know what angle Y is and what side y is, so let's use that along with angle Z and side z:

$\sf\dfrac{sin(Y)}{y}=\dfrac{sin(Z)}{z}$

Plug in what we know:

$\sf\dfrac{sin(51)}{2.6}=\dfrac{sin(76)}{z}$

Multiply 'z' to both sides:

$\sf\dfrac{sin(51)}{2.6}z=sin(76)$

Divide sin(51)/2.6 to both sides:

$\sf z=\dfrac{sin(76)(2.6)}{sin(51)}$

Plug it into your calculator.

$\boxed{\sf z\approx 3.2}$

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Oksanka [162]

Answer:

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Step-by-step explanation:

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