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3 years ago

(08.03)Consider the following set of equations:

Mathematics

2 answers:

11Alexandr11 [23.1K]3 years ago

4 0

Equation R: -3y = -3x - 9

Equation S: y = x + 3

Replace y in Equation R with equation S:

-3(x+3) = -3x - 9

Use distributive property:

-3x -9 = -3x -9

Because both sides of the equation are identical x can be any number and they would still be equal.

This means there are Infinite solutions.

Ede4ka [16]3 years ago

3 0

Let's solve the system of equations with the substitution method

Equation R: -3y = -3x - 9

Equation S: y = x + 3

Substitute y in Equation R with equation S:

-3(x+3) = -3x - 9

-3x -9 = -3x -9

Because both sides of the equation are identical x can be any number and they would still be equal.

This means there are Infinite solutions.

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Your friend has $90 when he goes to the fair. He spends $5 to enter the fair and $15 on food. Rides at the fair cost $1.50 per r

ra1l [238]

Answer:

-1.5x + 70

Step-by-step explanation:

Total money he takes while going to the fair = $90

Money he spends to enter the fair = $5

Money he spends on food =$15

Total he spent now is given by

Now, he spend on rides at the fair i.e. 1.50 per ride .

Let the number of rides be x

So, cost incurred on rides = 1.5x

So, the spending money can be expressed as

Now, remaining money left to him after spending on x rides too is

Let f(x) denotes the function used to determine the money he has left over after rides .

So it becomes

f(x) = 70 - 1.50x

f (x) = -1.50x +70

3 0

3 years ago

Maria wanted a sewing needle that had the smallest diameter. Which needle diameter is the smallest?

Effectus [21]

0.001 hope this helps

3 0

3 years ago

Alexandria has been playing at the beach with 329 shells. She is putting shells into rows of 6. How many rows will she need if s

Hitman42 [59]

Answer:

Alexandria requires 55 rows to use all the shells.

Step-by-step explanation:

Given:

Number of Shells = 329

Number of shells in each row = 6

We need to find the number of rows she need if she wants to use all the shells.

Solution:

Now we know that;

number of rows she needs can be calculated by Dividing Number of Shells with Number of shells in each row.

framing in equation form we get;

number of rows = $\frac{329}{6} = 54.83 \approx 55$

Hence Alexandria requires 55 rows to use all the shells.

5 0

4 years ago

How do you factor an expression

Gnoma [55]

Each term of 10x + 5 has 5 as a factor, and 10x + 5 = 5(2x + 1). To factor an expression by removing common factors proceed as in example 1. 3x is the greatest common factor of all three terms. Next look for factors that are common to all terms, and search out the greatest of these.

7 0

3 years ago

I need help with this I need shown work too it won’t count if I am not showing my work

iogann1982 [59]

The answer is 7x + 3

First, you have 3x-1 + 2x+1
Combine like terms and the 1’s cancel each other out. You are left with 5x.

Then, you add x+2 + x+1
Combine like terms and you have 2x+3

Add 5x + 2x+3 and you have 7x +3

I’m bad at explaining, so here are the steps.

7 0

3 years ago