Write the ratio as a fraction in simplest form. 51:9

Please help!!

Mamont248 [21]

Answer:

(Q.1) No solution

(Q.2) True

(Q.3) x = 4 - 2y

(Q.4) True

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Step-by-step explanation:

(Q.1) As shown in the first attached figure.

By graphing. x + 2y = 8 & x + 2y = -4

The two lines are parallel, there is no intersection points between the lines.

So, there is no solution to the system of equations.

Also, we should note the parallel lines have the same slope

to find it make the equation similar to y = mx + c where m is the slope

at this situation m = -1/2

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(Q.2) As shown in the second attached figure.

By graphing the system of inequalities y> -3x+2 & y<2x+1

The Shaded area represents the solution of the system of inequalities

And the point (4,2) is inside the shaded area

So, The ordered pair (4,2) is a solution to the system of inequalities.

====================================================

(Q.3)  solving the system { x+2y=4 & 2x+2y=6 } by substitution

From the first equation x + 2y = 4

we will find x in terms of y then plug it into the second equation

So, x + 2y = 4 ⇒ x = 4 - 2y

=====================================================

(Q.4) As shown in the third attached figure.

By graphing. 2x + 4y = 8 & x + 2y = 6

The two lines are parallel, there is no intersection points between the lines.

So, there is no solution to the system of equations.

Also, we should note the parallel lines have the same slope

to find it make the equation similar to y = mx + c where m is the slope

at this situation m = -1/2

7 0

3 years ago

Read 2 more answers

Choose as many answers as apply. Which of the following statements are true of ordinary whole-life insurance policies? The insur

Nana76 [90]

The insured pays premiums on this type of insurance until their death.

hope this helps

6 0

3 years ago

Read 2 more answers

This is adding linear equations:

Kipish [7]

1. -x-1
2. -10x+9
3. -3x+1
4. -4.8x-0.8
5. -1.25x-0.7
6. -6x-20
7. 10x+10
8. -x+16

You’re welcome

4 0

3 years ago

The average cost per unit for the production of a certain brand of DVD is given by C=\frac{500+60c+0.01x^2}{x} , where x is the

Ganezh [65]

Answer:

A: for 500: 66; for 60: 68.9; for 100: 66

B: no

Step-by-step explanation:

We assume your average cost function is ...

$\overline{C}=\dfrac{0.01x^2+60x+500}{x}$

A. The overline over the C indicates it is an average value.

Evaluating the cost function at the different production levels, we find the average cost per unit to be ...

500 units

c = ((0.01·500)+60)500 +500)/500 = 65 +1 = 66

60 units

c = ((0.01·60 +60)·60 +500)/60 = 60.6 +500/60 ≈ 68.93

100 units

c = ((0.01·100 +60)·100 +500)/100 = 61 +5 = 66

__

B. Dividing out the fraction, we find that the cost per unit is ...

0.01x +60 +500/x

As x gets large, this approaches the linear function c = 0.01x +60. This increases as the number of units produced rises. (The minimum average cost is at a production level of about 224 units.)

7 0

4 years ago

A region R in the xy-plane is given. Find equations for a transformation T that maps a rectangular region S in the uv-plane onto

aleksandr82 [10.1K]

The first step is to rewrite the equations given in the problem.
y = 2x - 2 → 2x - y = 2
y = 2x + 2 → 2x - y = -2
y = 2 - x → x + y = 2
y = 4 - x → x + y = 4
Then let u = 2x - y and v = x + y. Therefore we get the equations with the following bounds -2 ≤ u ≤ 2 and 2 ≤ v ≤ 4.

6 0

3 years ago