He paid 12.5% in tax. The tax added $1437.50 to the price of the motorcycle. What was the original price of the motercycle.

What is the simultanous equation of 2x+y=–5 3x+2y=–8 equation Using the Substitution method

Artyom0805 [142]

Answer: Equation $form:$ $x=-2,y=-1$

$Point$ $form:$ $(-2, -1)$

Step-by-step explanation:

$y=-\frac{3x}{2} -4$

$y=-2x-5$

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.

$Solve$ $by$ $Substitution$ ---> $2x+y=-5 3x+2y=-8$

8 0

2 years ago

What are all the ways to make 37 with tens and ones?

Sunny_sXe [5.5K]

3 tens
7 ones

This is the same as 30+7 which is 37

5 0

3 years ago

20 POINTS! Name the property of equality you would use to solve 2 = 3/4 + x

N76 [4]

Its eeither transposing or trabsposition

3 0

3 years ago

Three bags of chips and sodas cost $12.50. Four bags of chips and two sodas cost $10.00. What is the cost of each item? ASAP pls

Helen [10]

Step-by-step explanation:

3c + 3s = 12.50

4c + 2s = 10.00

3S = 12.50-3c

s = 4.17 - c

4c + 2 (4.17-c) = 10.00

2c + 8.34 = 10.00

2c = 1.66

chips = 0.83

soda = 3.34

7 0

3 years ago

Write an equation of a parabola that passes through (3,-30) and has x-intercepts of -2 and 18. Then find the average rate of cha

Nookie1986 [14]

Answer:

The equation of the parabola is $y = \frac{2}{5}\cdot x^{2}-\frac{32}{5}\cdot x -\frac{72}{5}$ . The average rate of change of the parabola is -4.

Step-by-step explanation:

We must remember that a parabola is represented by a quadratic function, which can be formed by knowing three different points. A quadratic function is standard form is represented by:

$y = a\cdot x^{2}+b\cdot x + c$

Where:

$x$ - Independent variable, dimensionless.

$y$ - Dependent variable, dimensionless.

$a$ , $b$ , $c$ - Coefficients, dimensionless.

If we know that $(3, -30)$ , $(-2, 0)$ and $(18, 0)$ are part of the parabola, the following linear system of equations is formed:

$9\cdot a +3\cdot b + c = -30$

$4\cdot a -2\cdot b +c = 0$

$324\cdot a +18\cdot b + c = 0$

This system can be solved both by algebraic means (substitution, elimination, equalization, determinant) and by numerical methods. The solution of the linear system is:

$a = \frac{2}{5}$ , $b = -\frac{32}{5}$ , $c = -\frac{72}{5}$ .