Is this correct???????

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:

1:1.5 or 2:3 or 4:6 or 8:12, etc. is the ratio

Step-by-step explanation:

Answer:

w+6=8 and w=2

Step-by-step explanation:

2(w+6) = 16

divide by two on both sides to remove the 2

w+6=16/2

w+6=8

  -6 (remove six from both sides)

w=2

Answer:

the area is multiplied by 4

Step-by-step explanation:

ex. i did height and base both are two the area is two

then if both are 4 then the are is 8

I checked with base and height = 4, area = 8

base and height = 8, area =32

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

9514 1404 393

Answer:

  B.  49/2 units squared

Step-by-step explanation:

The area is that of a triangle 7 units wide and 7 units high. Its area is given by the formula ...

  A = 1/2bh

  A = (1/2)(7 units)(7 units) = 49/2 units squared

Answer:

False.

Step-by-step explanation:

A cone is not a solid made from a disc, a point not in the same plane as the discs and all points between them.

Mathematically, the volume of a cone is given by the formula;

[tex] V = \frac{1}{3} \pi r^{2}h[/tex]

Where;

V is the volume of the cone.

r is the radius of the base of the cone.

h is the height of the cone.

Answer: true

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

In the case when we multiplied 0.014 by 100,000 so it comes

= 0.014 × 100,000

= 1,400

Since The value 0.014 were times by 5 zeros.

Therefore the decimal point would move 5 places to the right

Answer:

she can use 14.025 gigabytes

Answer:

-1

Step-by-step explanation:

look at the graph, and find where x=5

where x=5, y=-1

Answer: 1

Step-by-step explanation:

just trust me bro i’m jp i got it right

Answer:

2

Step-by-step explanation:

But if you want monkey math then it is 11 or 22. Hope this helps lol.

Answer:

i don't know

Step-by-step explanation:

Answer:

0/12

Step-by-step explanation:

Answer:

13/15

Step-by-step explanation:

Answer:

-3-5x

Step-by-step explanation:

4+(-7)-10x+5x

4-7-10x+5x

Answer:

−5−3

Step-by-step explanation:

Simplify

Subtract the numbers

4−7−10+5

−3−10+5

Combine like terms

−3−10+5

−3−5

Rearrange terms

−3−5

−5−3

Solution

−5−3

Answer:

4, -3

Step-by-step explanation:

I believe it'd be 4, -3 due to the shape moving seven units downwards, though I've only messed with triangles so I may be wrong. Sorry if I am.

A

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

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

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:

Step-by-step explanation:

Let the merchandise she sold = x

Her commission is 15% of that, so 15% of x or 0.15x

We know her commission was $40, so 0.15x = $40

0.15x = $40

Divide by 0.15

x = $266.67

We can check our answer by substituting $266.67 back into the equation.

0.15(266.67) = 40

40 = 40 ✅

Alyson sold $266.67 worth of merchandise.

Answer:

16

Step-by-step explanation:

took the test

Answer:

yes I agree B=3t/h

Step-by-step explanation:

hope this helps :)

Answer:

yes im pretty sure that is correct

Answer:

c

Step-by-step explanation:

Answer:the third one

Step-by-step explanation:

Answer:

The answer is A

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

The answer is C.

Step-by-step explanation:

First, you have to find the angle of ACB using Sine Rule, sinθ = opposite/hypotenuse :

Given that line AB is parallel to line CD so ∠C = 90°. Next, you have to find the angle of ACD :

Lastly, you can find the length of CD using Cosine rule, cosθ = adjacent/hypotenuse :

Answer:

A

Step-by-step explanation:

We want to find the equation of the line in slope-intercept form.

From the graph, we are given the two points (-5, 1) and (0, -3).

We can find the slope between them. The slope formula is given by:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

We will let (-5, 1) be (x₁, y₁) and (0, -3) be (x₂, y₂). Substitute:

[tex]\displaystyle m=\frac{(-3)-(1)}{(0)-(-5)}[/tex]

And evaluate:

[tex]\displaystyle m=\frac{-4}{5}=-\frac{4}{5}[/tex]

Next, notice that the point (0, -3) is already the y-intercept, so we do not need to find it.

Slope-intercept form is given by:

[tex]\displaystyle y=mx+b[/tex]

Therefore, our equation is:

[tex]\displaystyle y=-\frac{4}{5}x-3[/tex]

Our answer is A.

Answer:

x = 7

Step-by-step explanation:

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

6x - 6 = 36

6x = 42

x = 7

Answer:

1/5

Step-by-step explanation:

Answer:

1/5

Step-by-step explanation: