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4 years ago

What is the system of equations by graphing

Mathematics

1 answer:

frez [133]4 years ago

6 0

Answer:

(x, y) = (0, 4)

Step-by-step explanation:

The two lines intersect at their y-intercept: (x, y) = (0, 4).

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The state of Georgia is divided up into 159 counties. Consider a population of Georgia residents with mutually independent and e

harkovskaia [24]

Answer:

$\frac{159^{n} -(\left \{ {{159} \atop {n}} \right.)*n! ) }{159^{n} }$

Step-by-step explanation:

number of counties = 159

n number of people are mutually independent and equally likely home locations

considering the details given in the question

n ≤ 159

The number of ways for people ( n ) will live in the different counties (159) can be determined as $(\left \{ {{159} \atop {n}} \right} )$

since the residents are mutually independent and equally likely home locations hence there are : $159^{n}$ ways for the residents to live in

therefore the probability = $\frac{159^{n} -(\left \{ {{159} \atop {n}} \right.)*n! ) }{159^{n} }$

4 0

4 years ago

What is the slope of the line?

Oxana [17]

The formula of a slope:

$m=\dfrac{\Delta y}{\Delta x}$

Δy = 2

Δx = 1

Substitute:

$m=\dfrac{2}{1}=2$

<h3>Answer: 2</h3><h3 />

Other method.

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

Find two points.

(0, 1) and (1, 3). Substitute:

$m=\dfrac{3-1}{1-0}=\dfrac{2}{1}=2$

<h3>Answer: 2</h3>

3 0

3 years ago

Help me find like terms, (multiple choice).

vichka [17]

Answer:

Like terms:

$\frac{1}{2}x^{2}$

1.25x²

-8x²

Step-by-step explanation:

Like terms are terms that have the same variable to the same exponent. In this case, the only like terms are those with the variable 'x' to the exponent of '2', or x². This would include the terms:

$\frac{1}{2}x^{2}$

1.25x²

-8x²

The term 5yx², also includes x², however, it also includes the variable 'y' which makes it 'unlike' the other terms.

8 0

4 years ago

Read 2 more answers

78 students are separated into groups of 8 for a field trip how many groups are there there are many students from a smaller gro

mixas84 [53]

Nine groups of 8 students and one group of 6 students. 9 x 8 = 72. 78 - 72 = 6.

5 0

3 years ago

The pentagonal area is 20 cm square. Point A located in the pentagon and equidistant from all sides of the pentagon about 5 cm.

Maurinko [17]

Answer:

about 8 cm

Step-by-step explanation:

The formula for the area of a regular polygon is ...

A = 1/2Pa . . . . where P is the perimeter and "a" is the apothem, the distance from the center to a side

Filling in your numbers, we have ...

20 cm^2 = (1/2)P(5 cm)

Dividing by the coefficient of P, we find ...

2×(20 cm^2)/(5 cm) = P = 8 cm

The perimeter of the pentagon is about 8 cm.

_____

<em>Comment on the problem</em>

This calculation makes use of the area formula, as apparently intended. A regular pentagon with an apothem of about 5 cm will have an area of about 90.8 cm^2. The given geometry is impossible, as the pentagon is nearly 10 cm across. It cannot have a perimeter of only 8 cm.

5 0

3 years ago