Suman Cole
2020-10-18
Answered

Evaluate f(x)⋅g(x) by modeling or by using the distributive property.

$f\left(x\right)=(-3x+2){\textstyle \phantom{\rule{1em}{0ex}}}\text{and}{\textstyle \phantom{\rule{1em}{0ex}}}g\left(x\right)=(2{x}^{2}-5x-1)$

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Jayden-James Duffy

Answered 2020-10-19
Author has **91** answers

Let's use the distributive property.

asked 2021-09-16

Solve, please:

$\{\begin{array}{ccccc}0.7x& -& \frac{1}{2}y& =& 9.4\\ 0.9x& +& \frac{7}{10}y& =& 0\end{array}$

asked 2021-02-22

How to complete the table with the equation

asked 2022-05-27

Write the following system of equations in the form $AX=B$, and calculate the solution using the equation $2x-3y=-1$.

$2x-3y=-1$

$-5x+5y=20$

$2x-3y=-1$

$-5x+5y=20$

asked 2021-12-12

Mrs. Smith has a bank of 40 questions to use for the Foundations of Algebra exam. How many different final exams of 35 problems can she form (assuming the order of the questions does not matter)?

asked 2022-05-13

Solving systems of equations from dynamics

Here is an example of a system I might have to solve for $F$, given $M$, $m$, ${\mu}_{S}$, $\theta $.

$N\mathrm{sin}\theta -{\mu}_{S}N\mathrm{cos}\theta =ma$

$N\mathrm{cos}\theta +{\mu}_{S}N\mathrm{sin}\theta -mg=0$

$-N\mathrm{sin}\theta +{\mu}_{S}N\mathrm{cos}\theta +F=Ma$

Here is an example of a system I might have to solve for $F$, given $M$, $m$, ${\mu}_{S}$, $\theta $.

$N\mathrm{sin}\theta -{\mu}_{S}N\mathrm{cos}\theta =ma$

$N\mathrm{cos}\theta +{\mu}_{S}N\mathrm{sin}\theta -mg=0$

$-N\mathrm{sin}\theta +{\mu}_{S}N\mathrm{cos}\theta +F=Ma$

asked 2021-08-14

Read the numbers and decide what the next number should be. 5 15 6 18 7 21 8

asked 2022-06-27

System of linear inequalities - mixture

We have 4 types bottles of water. Bottle 1 - with capacity 750ml - we have 2 for use with price 0,25 Bottle 2 - with capacity 500ml - we have 3 for use with price 0,5 Bottle 3 - with capacity 250ml - we have 5 for use with price 0,75 Bottle 4 - with capacity 100ml - we have 10 for use with price 1

Using water from these 4 types of bottles we have to create "aqueous mixture" containing 3050ml of water in total.

How we should pour water from those bottles that cost as low as possible and to have the least possible loss of water.

How to solve this?

We have 4 types bottles of water. Bottle 1 - with capacity 750ml - we have 2 for use with price 0,25 Bottle 2 - with capacity 500ml - we have 3 for use with price 0,5 Bottle 3 - with capacity 250ml - we have 5 for use with price 0,75 Bottle 4 - with capacity 100ml - we have 10 for use with price 1

Using water from these 4 types of bottles we have to create "aqueous mixture" containing 3050ml of water in total.

How we should pour water from those bottles that cost as low as possible and to have the least possible loss of water.

How to solve this?