All categories

3 years ago

Which equation Can pair with x-y=-2 to create a consistent and dependent system

Mathematics

2 answers:

harina [27]3 years ago

5 0

Given linear equation in standard form x-y=-2.

Let us convert it in slope-intercept form first.

x-y =-2.

Subtracting x from both sides

x-x-y = -2-x

-y = -x-2.

Dividing both sides by -1, we get

y= x+2.

We can write it as y=1x+2.

Let us compare it with slope-intercept form y=mx+b.

On comparing, we get slope m= 1 and y-intercept b=2.

Let us check option -3x+3y=6.

Let us check it by converting in slope-intercept form.

Adding 3x on both sides we get

-3x+3x+3y=6+3x

3y = 3x + 6.

Dividing both sides each term by 3.

3y/3 = 3x/3 + 6/3.

y= 1x +2.

On comparing with slope-intercept form y=mx+b.

We got slope m=1 and y-intercept =2.

So, the equation in option B) -3x+3y=6 create a consistent and dependent system with x-y=-2.

ivann1987 [24]3 years ago

3 0

Answer:

Step-by-step explanation:

edg 2020

You might be interested in

Consider the following figure:

motikmotik

Answer:

angle <B = 76

Step-by-step explanation:

The measure of an exterior angle is equal to sum of two interior angles that is not adjacent to the exterior angle.

We can write the following equation with this information to find the value of angle <B

<B + 71 = 147 subtract 71 from both sides

<B = 76

5 0

2 years ago

Sir Ving Spoon earned $5,436 on his $7,550 certificate of deposit. If he had the CD for 12 years, what simple interest rate did

Lilit [14]

6% or 0.06 is the simple interest rate the bank pays him.

Step-by-step explanation:

Sir Ving Spoon earned $5,436 on his $7,550 certificate of deposit.

From this given information,

It can be determined that the Principal amount is $7550 and the interest amount is $5436.

The CD is for 12 years. Therefore, the number of years is 12.

To find the interest rate (r) :

Using the simple interest formula,

Interest = P×r×t

where,

P is the principal amount = $7550
r is the rate of interest.
t is the number of years = 12

⇒ 5436 = 7550 × r × 12

⇒ 5436 = 90600 × r

⇒ r = 5436 / 90600

⇒ r = 0.06

Multiply by 100 to represent in rate %

⇒ r = 0.06 × 100

⇒ r = 6%

∴ 6% or 0.06 is the simple interest rate the bank pays him.

5 0

3 years ago

In a 1995 Corporation for Public Broadcasting poll of TV viewership, one question was, "A recent study by a psychology professor

sweet [91]

I strongly disagree bc it was an corporation for the public in 1995

3 0

3 years ago

Which expression is equivalent to the given expression? (-4ab)3

vampirchik [111]

Answer:

-64a³b³

Step-by-step explanation:

please like and Mark as brainliest

6 0

3 years ago

Dairy farmers are aware there is often a linear relationship between the age, in years, of a dairy cow and the amount of milk pr

Jobisdone [24]

Answer:

B. A cow of 5 years is predicted to produce 5.5 more gallons per week.

Step-by-step explanation:

Let $M(a) = 40.8-1.1\cdot a$ , where $a$ is the age of the dairy cow, measured in years, and $M(a)$ is the predicted milk production, measured in gallons per week.

Besides, we consider $a_{1}$ and $a_{2}$ , such that $a_{1}\ne a_{2}$ , we define the difference between predicted milk productions ( $\Delta M$ ) below: