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3 years ago

How many solutions would there be for the following system of equations?

Mathematics

2 answers:

miss Akunina [59]3 years ago

5 0

Answer:

1 solution

Step-by-step explanation:

y = 3x-5

This is a line with a non-zero slope.

62-2y = 10

2y = 52

y = 26

This is a horizontal line.

The lines intersect at one point, (31/3, 26)

Mila [183]3 years ago

4 0

Solution A1 is correct hope it helpsss

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In the 1990s the demand for personal computers in the home went up with household income. For a given community in the 1990s, th

WITCHER [35]

Answer:

a) 0.5198 computers per household

b) 0.01153 computers

Step-by-step explanation:

Given:

number of computers in a home,

q = 0.3458 ln x - 3.045 ; 10,000 ≤ x ≤ 125,000

here x is mean household income

mean income = $30,000

increasing rate, $\frac{dx}{dt}$ = $1,000

Now,

a) computers per household are

since,

mean income of $30,000 lies in the range of 10,000 ≤ x ≤ 125,000

thus,

q = 0.3458 ln(30,000) - 3.045

q = 0.5198 computers per household

b) Rate of increase in computers i.e $\frac{dq}{dt}$

$\frac{dq}{dt}$ = $\frac{d(0.3458 ln x - 3.045)}{dt}$

$\frac{dq}{dt}=0.3458\times(\frac{1}{x})\frac{dx}{dt} - 0$

on substituting the values, we get

$\frac{dq}{dt}=0.3458\times(\frac{1}{30,000})\times1,000$

= 0.01153 computers

6 0

3 years ago

HELP!!!! PLEASEEEE!!!! Janet makes homemade dolls. Currently, she produces 23 dolls per month. If she increased her production b

oksian1 [2.3K]

First, calculate 18% of 23.
23 x 0.18 = 4.14
Then, add this value (the increase) to the original value of 23.
23 + 4.14 = 27.14
Rounding off, we get 27.

6 0

3 years ago

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Do you agree or disagree with the following statement? Explain your reasoning. "Since the speed of the ball is different at each

xz_007 [3.2K]

Answer:

I disagree with the statement.

Step-by-step explanation:

Speed of the ball is different at each position:

This rhymes with the laws of physics because a ball placed at a certain height or on a certain slope will have a different speed (when thrown or rolled down) from a ball placed at a different height or on a different position on a plane.

There is no way to define probability density because i can't calculate the probability at just one point:

This statement is self-opposing as probability density is meant for times when probability value cannot be calculated or found for every given point! It is meant for continuous variables such as the one you're dealing with here - speed. The way to do this is to derive a probability density value for the variable in question (speed of the ball) for specific position intervals. Hence, divide the positions into intervals e.g.

A - B, B - C, C - D and so on.

So, probability density is used when you cannot the probability at just one point.

8 0

3 years ago

Find the volume of a pyramid with a square base, where the perimeter of the base is 13.4 in and the height of the pyramid is 7.6

VashaNatasha [74]

Answer:

28.4in³

Step-by-step explanation:

Volume of the square based pyramid = L²H/3 where;

L is the length of a side of the square base

H is the height of the prism

Given

Perimeter of the base = 13.4 in

Height of the pyramid = 7.6in

First we need to get the length of the square base

Perimeter of a square = 4L

13.4 = 4L

L = 13.4/4

L = 3.35 in

Next is to find the required volume of the pyramid

V = L²H/3

V = 3.35²(7.6)/3

V = 85.291/3

V = 28.4 in³

Hence the volume of the pyramid to nearest tenth is 28.4in³

7 0

3 years ago

Triangular numbers can be represented with equilateral triangles formed by dots. The first five triangular numbers are 1, 3, 6,

Ugo [173]

<span>A direct variation means proportionality. Triangular numbers are quadratic in n. T(n)=n(n+1)/2. So no.</span>

5 0

3 years ago

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