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3 years ago

How do you solve system of equations word problems?

2 answers:

7 0

Highlight important information
Define your Varibales
Write two equations
Use one of the methods for solving System of equations to solve
Check your answer by subsisting your order pair into the original Equation

kaheart [24]3 years ago

5 0

Well first you have to figure out what you need to solve. then you write out the two equations and solve the system s from there

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The data set represents a month-to-month progression of gasoline prices over the course of several months in an

Mila [183]

Answer:

A.) -0.015x² + 0.365x + 1.116

Step-by-step explanation:

Using a graphing calculator, the quadratic regression equation obtained for the data in the table is :

General form of a quadratic regression equation :

A + Bx + Cx²

A = 1.115714

Bx = 0.3647x

Cx² = - 0.015x²

Hence, rounding to the appropriate number of decimal places, the quadratic regression equation becomes ;

-0.015x² + 0.365x + 1.116

6 0

3 years ago

Can you help with this problem in the pic

Dima020 [189]

The answer is "The mathematical work is correct as written"

5 0

3 years ago

PLEASE HELP!!

e-lub [12.9K]

Answer:

Part 1) The inverse function is $f^{-1}(x) =\frac{2x-3}{4}$

Part 2) 25.75 weeks

Step-by-step explanation:

Let

x ---->the number of weeks in the course

f(x) ---> the number of assignments he has completed

we have

$f(x)=\frac{4x-3}{2}$

Part 1) Find the inverse

Let

y=f(x)

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

Exchange the variables (x for y and y for x)

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

Isolate the variable y

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

Let

$f^{-1}(x) =y$

$f^{-1}(x) =\frac{2x+3}{4}$

Part 2) we have

$f^{-1}(x) =\frac{2x+3}{4}$

where

$f^{-1}(x)$ ---->the number of weeks in the course

x ---> the number of assignments he has completed

For x=50

substitute in the inverse function

$f^{-1}(x) =\frac{2(50)+3}{4}=25.75\ weeks$

Note: Juliana don't need to use the inverse function. you can just use the function you have where f(x)=50 assignments and solve for x to get the amount of weeks.

$50=\frac{4x-3}{2}\\\\100=4x-3\\4x=103\\x=25.75\ weeks$

6 0

4 years ago

Find a polynomial of degree n that has only the given zeros. x = −6, 3, 4; n = 3

AleksAgata [21]

3rd degreee has 3 zeros
easy
x=-6
x+6=0

x=3
x-3=0

x=4
x-4=0

f(x)=(x+6)(x-3)(x-4)
expanded
f(x)= $x^3-x^2-30x+72$

6 0

4 years ago

Maya is choosing between several pay plans for her new job. If she usually has monthly sales of about $5,000, which plan would a

aivan3 [116]

Complete question is;

Maya is choosing between several pay plans for her new job. If she usually has monthly sales of about $5,000, which plan would allow Maya to earn the most money in a month?

Plan, Monthly base salary, Commission rate

A, $500, 8%

B, $600, 7%

C, $700, 6%

D, $800, 5%

Options:

A. plan A

B. plan B

C. plan C

D. plan D

Answer:

Option D - Plan D

Step-by-step explanation:

For plan A, at 8% commission rate,her monthly pay would be, 500 + 8%*5,000 = $900

For plan B, at 7% commission rate, her monthly pay would be; 600 + 7%*5,000 = $950

For plan C, at 6% commission rate, her monthly pay would be;700 + 6%*5,000 = $1000

For plan D, at 5% monthly commission rate, her monthly pay = 800 + 5%*5,000 = $1050

So the plan that allows maya earn the most is the highest which is plan D

7 0

4 years ago

Read 2 more answers