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3 years ago

How many solutions does this nonlinear system of equaTions have?

Mathematics

2 answers:

RideAnS [48]3 years ago

8 0

Answer:

There are five possible types of solutions to the system of nonlinear equations representing an ellipse and a circle

Step-by-step explanation:

P.S Can I have brainliest?

daser333 [38]3 years ago

7 0

Answer:

Step-by-step explanation:

Depends on how many points on the graph

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eight wooden spheres with radii 3 in. are packed snugly into a square box 12 in. on one side. the remaining space is filled with

ZanzabumX [31]

Vbox-vspheres

vbox=, I assume we are dealing with l=w=h
so
v=lwh=12^3=1728

vsphere=(4/3)pir^3
r=3
vsphere=(4/3)pi3^3=4pi9=36pi
8 of them so
8 times 36pi=288pi or about 904.7786842338604526772412943845 cubic inches

vbox-sphere=1728-904.7786842338604526772412943845=823.2213157661395473227587056155
space filled by packing beads is about 823.22 cubic inches
beads percent is 823.2213157661395473227587056155/1728 times 100=47.64% filled by beads

3 0

3 years ago

<img src="https://tex.z-dn.net/?f=8a%283b%2B6c-7c%29" id="TexFormula1" title="8a(3b+6c-7c)" alt="8a(3b+6c-7c)" align="absmiddle"

tino4ka555 [31]

Answer:

24ab-8ac

Step-by-step explanation:

Assuming you want to simplify it.

Original equation: 8a(3b+6c-7c)

Apply 8a to each variable in the paranthesis: (8a)(3b)+(8a)(6c)+(8a)(-7c)

After multiplication: 24ab+48ac-56ac

Combine like terms: 24ab-8ac

8 0

2 years ago

(1 ÷ x- 1)+(2÷ x+2)=(3÷2) solve and check for extraneous solutions

Sliva [168]

$\frac{1}{x-1}+ \frac{2}{x+2}= \frac{3}{2}$
$\frac{1(x+2)}{(x-1)(x+2)}+ \frac{2(x-1)}{(x+2)(x-1)}= \frac{3(x-1)(x+2)}{2}$
$\frac{x+2+2(x-1)}{(x-1)(x+2)}= \frac{3(x-1)(x+2)}{2}$
$\frac{x+2+2x-1}{(x-1)(x+2)}= \frac{3(x-1)(x+2)}{2}$
$\frac{3x+1}{(x-1)(x+2)}= \frac{3(x^2+x-2)}{2}$
$\frac{}{(x-1)(x+2)}= \frac{3x^2+3x-6)}{2}$
$\frac{3x+1}{(x^2+x-2)}= \frac{3x^2+3x-6)}{2}$
$\frac{2(3x+1)}{2(x^2+x-2)}= \frac{3x^2+3x-6)(x^2+x-2)}{2(x^2+x-2)}$
$\frac{2(3x+1)}{2(x^2+x-2)}-\frac{3x^2+3x-6)(x^2+x-2)}{2(x^2+x-2)}=0$
$\frac{2(3x+1)-3x^2+3x-6}{2(x^2+x-2)}=0$

this will be continued

5 0

3 years ago

Fill in the table using this function rule y=5x-3

Rudiy27

Answer:

-2, -13

0, -3

2, 7

4, 17

Step-by-step explanation:

To fill out the table, substitute the table x-values into the equation and the y-values will fill the table.

y = 5x - 3

y = 5(-2) - 3

y = -10 - 3

y = -13

This means the table value corresponding to -2 should be -13.

y = 5x - 3

y = 5(0) - 3

y = 0 - 3

y = -3

This means the table value corresponding to 0 should be -3.

y = 5x - 3

y = 5(2) - 3

y = 10 - 3

y = 7

This means the table value corresponding to 2 should be 7.

y = 5x - 3

y = 5(4) - 3

y = 20 - 3

y = 17

This means the table value corresponding to 4 should be 17.

6 0

2 years ago

In a certain Algebra 2 class of 25 students, 13 of them play basketball and 11 of them play baseball. There are 4 students who p

Flauer [41]

Answer:

$\frac{4}{5}$

Step-by-step explanation:

Given: There are 2 classes of 25 students.

13 play basketball

11 play baseball.

4 play neither of sports.

Lets assume basketball as "a" and baseball as "b".

We know, probablity dependent formula; P(a∪b)= P(a)+P(b)-p(a∩b)

As given total number of student is 25

Now, subtituting the values in the formula.

⇒P(a∪b)= $\frac{13}{25} +\frac{11}{25} -\frac{4}{25}$

taking LCD as 25 to solve.

⇒P(a∪b)= $\frac{13\times 1+11\times 1-4\times 1}{25} = \frac{20}{25}$

∴ P(a∪b)= $\frac{4}{5}$

Hence, the probability that a student chosen randomly from the class plays both basketball and baseball is $\frac{4}{5}$ .

6 0

3 years ago