please help with maths work

Step-by-step explanation:

To find - How can you determine the number of solutions of a system

              of linear equations by inspecting its equations?

Proof -

There exists three types of solution for a system of linear equations.

1. No solution.

2. Unique solution.

3. Infinite many solutions.

Now,

Let the 2 linear equations are as follows :

y = ax + b

y = cx + d

1. For no solution -

a = c and b ≠d

For example-

y = -2x + 5

y = -2x  - 1

Subtract first equation from second , we get

y - y = -2x - 1 - ( -2x + 5)

⇒0 = -2x - 1 + 2x - 5

⇒0 = -6

Not possible

So, There exist no solution.

2. For unique solution -

a ≠ c and b , d can be any value

For example -

If b and d are same ,

y = 2x - 4

y = -3x - 4

Subtract equation 1st from 2nd , we get

y - y = -3x - 4 - ( 2x - 4)

⇒0 = -3x - 4 - 2x + 4

⇒0 = -5x

⇒x = 0

⇒y = 2(0) - 4 = -4

∴ we get

x = 0, y = -4

If b and d are different

y = 2x - 4

y = -3x + 5

Subtract equation 1st from second

y - y = -3x + 5 - 2x + 4

⇒0 = -5x + 9

⇒-5x = -9

⇒x = [tex]\frac{9}{5}[/tex]

⇒y =2([tex]\frac{9}{5}[/tex]) - 4 = [tex]\frac{18}{5} - 4 = \frac{18 - 20}{5} = -\frac{2}{5}[/tex]

∴ we get

x = [tex]\frac{9}{5}[/tex] , y = [tex]-\frac{2}{5}[/tex]

3. Infinitely many solution -

a = c and b = d

For example -

y = -4x + 1

y = -4x + 1

Subtract equation first from equation second

y - y = -4x + 1 - ( -4x + 1)

⇒0 = -4x + 1 + 4x - 1

⇒0 = 0

Satisfied

So, Infinite many solution possible.

Answer:

2 outcomes

Step-by-step explanation:

the coin only has 2 sides so you can flip it 1000 times and you could only get 2 outcomes, unless it lands straight up and down

Answer:

1/8

Step-by-step explanation:

yay

Answer:

1/5

Step-by-step explanation:

Answer:

1/5

Step-by-step explanation:

Answer:

20x⁴ - 13x³+ 8x² - x + 6

Step-by-step explanation:

Multiplyin gbthebtop trinomial by the last term. Of the bottom trinomial.

___4x² - 5x + 3

___5x² + 3x + 2

* ____________

_________8x² - 10x + 6

______12x³-15x²+9x

_20x⁴-25x³+15x²

____________________

20x⁴ - 13x³+ 8x² - x + 6

___________________

Answer:

Where is the diagram

Step-by-step explanation:

Answer:

A, B, and C

Step-by-step explanation:

Since there are no right angles, 89 is too close to 90 which is a right angles (which there are no angles even close to 90) and 94 would be too large since all angles are less than 90 degrees.

Given:

The expression is

[tex](-8)^3\cdot (-8)^4[/tex]

To find:

The expression in repeated multiplication form and then write the expression as a power.

Solution:

We have,

[tex](-8)^3\cdot (-8)^4[/tex]

The repeated multiplication form of this expression is

[tex]=[(-8)\cdot (-8)\cdot (-8)]\cdot [(-8)\cdot (-8)\cdot (-8)\cdot (-8)][/tex]

[tex]=(-8)\cdot (-8)\cdot (-8)\cdot (-8)\cdot (-8)\cdot (-8)\cdot (-8)[/tex]

Clearly, (-8) is multiplied seven times by itself. So,

[tex]=(-8)^7[/tex]

Therefore, the repeated multiplication form of the given expression is [tex](-8)\cdot (-8)\cdot (-8)\cdot (-8)\cdot (-8)\cdot (-8)\cdot (-8)[/tex] and the expression as single power is [tex](-8)^7[/tex].

Answer:

x = 7

Step-by-step explanation:

(x+2)+(3x-9)+(2x+1) = 36

6x - 6 = 36

6x = 42

x = 7

Answer:

The y-intercept is 2 and the slope is 1/2. So the equation is y = 1/2x + 2

Step-by-step explanation:

The y-intercept is where the line starts on the y-axis. For the slope to the next point on the line you have to move 2 units to the right and 1 unit up. When writing the slope as a fraction, you always put how far you move up or down above how far you move to the right or left.

Answer:

i don't know

Step-by-step explanation:

Answer:

you mesuare the apple to see if it greater or less than 3 centimeter  

Step-by-step explanation:

É só vc ir somando até 11.

Ou multiplicar por 11.

4,35x11

Espero ter ajudado!

Answer:

The answer is:  2x+1f(x)=

Step-by-step explanation:

The standard form for linear equations in two variables is Ax+By=C. For example, 2x+3y=5 is a linear equation in standard form. When an equation is given in this form, it's pretty easy to find both intercepts (x and y). This form is also very useful when solving systems of two linear equations.

Answer:

x > [tex]\frac{14}{5}[/tex]

Step-by-step explanation:

Given

[tex]\frac{5x}{2}[/tex] > 7 ( multiply both sides by 2 to clear the fraction )

5x > 14 ( divide both sides by 5 )

x > [tex]\frac{14}{5}[/tex]

Answer:C

Step-by-step explanation:

Answer:

-1/2

if it's not right let me know

Step-by-step explanation:

A

Because of 3 adults bought 3 tickets, 9 x 3. 9(3)

4 students bought 4 tickets, 4 x 5, 4(3)

Answer:

yes I agree B=3t/h

Step-by-step explanation:

hope this helps :)

Answer:

$2.25 + 4% = $2.34

It increased by 9 cents

Step-by-step explanation:

Answer:  6(6m - 1)

Step-by-step explanation:

6 - 4(3 - 6m) + 12m

= 6 -12 + 24m + 12m

= 36m - 6

= 6(6m - 1)

Answer:

$4720

Step-by-step explanation:

Simple Interest

A=P(1+in)

A- Accumulated Amount

P- Principal Amount

i- Interest (÷100)

n- Number Of Years

A=P(1+in)

A=4000(1+0.06×3)

A=4000(1.18)

.°.A=$4720

Answer:

-7y^2-x+11y

Step-by-step explanation:

Answer:

Value of ending inventory = $97,650

Step-by-step explanation:

Full costing is a costing method that consider all the costs including all variable and fixed costs in determining the cost of producing products or services.

From the question, we have the following:

Total variable manufacturing costs per unit = $11.00

Fixed manufacturing overhead per year = $233,550

Number of snow shovels produced during the year = 51,900

Number of snow shovels sold during the year = 46,500

Therefore, we have:

Total variable manufacturing costs incurred during the year = Total variable manufacturing costs per unit * Number of shovels produced during the year = $11.00 * 51,900 = $570,900

Based on full costing, we have:

Total cost of producing snow shovel during the year = Fixed manufacturing overhead per year + Total variable manufacturing costs incurred during the year = $233,550 + $570,900 = $804,450

Production cost per unit = Total cost of producing snow shovel during the year / Number of snow shovels produced during the year = $804,450 / 51,900 = $15.50

Number of ending inventory = Number of snow shovels produced during the year - Number of snow shovels sold during the year = 51,900 - 46,500 = 6,300

Value of ending inventory = Number of ending inventory * Production cost per unit = 6,300 * $15.50 = $97,650