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3 years ago

Solve the following system of equations: 2x - y = 7

Mathematics

1 answer:

wlad13 [49]3 years ago

5 0

Answer:

Step-by-step explanation: Not too sure how to explain it this is how you simplify it pretty sure

2x-y=7

+2x +2x add to both sides to get y alone because it has no friends

___________

-y=7+2x get rid of the negative on the y value

__________

y= -2x -7

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What is the area to this shape ?

Dafna1 [17]

Answer:

249.42 units²

Step-by-step explanation:

Given only the apothem of an n-sided regular polygon, the area can be computed as ...

... A = n·a²·tan(180°/n)

For n=3 and a=4√3, this is ...

... A = 3·(4√3)²·tan(60°)

... A = 3·48·√3 = 144√3 . . . . units²

... A ≈ 249.42 units²

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3 years ago

The nutrition supervisor for a school district is considering adding a baked potato bar to the lunch for all the high school caf

Nimfa-mama [501]

Using the confidence interval, it is found that the correct option is:

There is convincing evidence because the entire interval is above 0.

<h3>When does a confidence interval for the difference of proportions gives convincing evidence that there is a difference?</h3>

It gives convincing evidence when 0 is not part of the confidence interval.

In this problem, the interval is (0.02, 0.38), which does not contain 0, hence the correct option is:

There is convincing evidence because the entire interval is above 0.

More can be learned about confidence intervals at brainly.com/question/25890103

3 0

2 years ago

A bike rental company charges a fee per hour. The charge, in dollars, is the same each hour. The ordered pairs (3, 13.50) and (5

olchik [2.2K]

If the function is y = 4.5x. Then the rate of change of the function expressed as a unit rate will be 4.5.

<h3>What is the linear system?</h3>

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

A bike rental company charges a fee per hour.

The charge, in dollars, is the same each hour.

The ordered pairs (3, 13.50) and (5, 22.50) represent the corresponding hours, x, and cost, y.

Then the linear equation is given as

$\begin{aligned} \rm y - 22.5 &= \rm \dfrac{22.5 - 13.5}{5 - 3} (x- 5)\\\\\rm y - 22.5 &= \rm 4.5x - 22.5\\\\\rm y &= \rm 4.5x \end$

Then the rate of change of the function expressed as a unit rate will be

$\rm \dfrac{dy}{dx} = \dfrac{d}{dx} (4.5x )\\\\\dfrac{dy}{dx} = 4.5$

More about the linear system link is given below.

brainly.com/question/20379472

#SPJ1

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2 years ago

Solve each system by substitution. -5x + 3y = 3 and -4x + y = 1

taurus [48]

$\left\{\begin{array}{ccc}-5x+3y=3\\-4x+y=1&|\text{add 4x to both sides}\end{array}\right\\\\\left\{\begin{array}{ccc}-5x+3y=3\\y=4x+1&(*)\end{array}\right\\\\\text{Substitute }\ (*)\ \text{to the first equation}\\\\-5x+3(4x+1)=3\qquad\text{use distributive property}\\\\-5x+(3)(4x)+(3)(1)=3\\\\-5x+12x+3=3\qquad\text{subtract 3 from both sides}\\\\7x=0\qquad\text{divide both sides by (-5)}\\\\\boxed{x=0}\\\\\text{Substitute the value of x to}\ (*):\\\\y=4(0)+1\\y=0+1\\\boxed{y=1}\\\\Answer:\ x=0\ and\ y=1.$

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3 years ago

In the following figure, EM is tangent to circle A at point C.

Sphinxa [80]

Answer:

A must be true

Step-by-step explanation:

Since ABE and angle ACE are right angles the rest of the 2 angles are right angles either therefore EC = AB

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3 years ago