All categories

3 years ago

5. How many solutions will the following system of equations have? y = -x +4 x² + y² = 16

Mathematics

1 answer:

alekssr [168]3 years ago

8 0

Answer:

x = 0 and y = 4

x = 4 and y = 0

thus: 2 solutions

Step-by-step explanation:

You might be interested in

On a certain hot summer's day, 645 people used the public swimming pool. The daily prices are $1.75 for children and $2.50 for

VladimirAG [237]

Answer:

327 children and 318 adults

Step-by-step explanation:

The x be the amount of children and y be the amount of adults that were at the swimming pool. We can use this to set up a system of equations:

x+y=645

1.75x+2.50y=1367.25

Move y to the other side in the first equation to isolate x and solve the system using substitution:

x=645-y

1.75(645-y)+2.50y=1367.25

Distribute

1128.75-1.75y+2.50y=1367.25

1128.75+0.75y=1367.25

Subtract 1128.75 from both sides

0.75y=238.5

Divide both sides by 0.75

y=318

x=645-y

x=645-318

x=327

327 children and 318 adults swam at the pool that day

4 0

2 years ago

Find f. A) 7.4 B) 8.2 C) 10.5 D) 11.1

tatyana61 [14]

F=72

g=6

------------

$\cos { \left( F \right) } =\frac { { e }^{ 2 }+{ g }^{ 2 }-{ f }^{ 2 } }{ 2eg }$

Therefore:

$\cos { \left( 72 \right) } =\frac { { e }^{ 2 }+{ 6 }^{ 2 }-{ f }^{ 2 } }{ 2\cdot e\cdot 6 } \\ \\ \cos { \left( 72 \right) } =\frac { { e }^{ 2 }+36-{ f }^{ 2 } }{ 12e }$

$\\ \\ 12e\cdot \cos { \left( 72 \right) } ={ e }^{ 2 }+36-{ f }^{ 2 }\\ \\ \therefore \quad { f }^{ 2 }={ e }^{ 2 }-12e\cdot \cos { \left( 72 \right) } +36\\ \\ \therefore \quad f=\sqrt { { e }^{ 2 }-12e\cdot \cos { \left( 72 \right) +36 } } \\ \\ \therefore \quad f=\sqrt { e\left( e-12\cos { \left( 72 \right) } \right) +36 }$

But what is e?

E=76

G=32

g=6

And:

$\frac { e }{ \sin { \left( E \right) } } =\frac { g }{ \sin { \left( G \right) } }$

Which means that:

$\frac { e }{ \sin { \left( 76 \right) } } =\frac { 6 }{ \sin { \left( 32 \right) } } \\ \\ \therefore \quad e=\frac { 6\cdot \sin { \left( 76 \right) } }{ \sin { \left( 32 \right) } }$

If you take this value into account, you will discover that f is...

$f=\sqrt { \frac { 6\cdot \sin { \left( 76 \right) } }{ \sin { \left( 32 \right) } } \left( \frac { 6\cdot \sin { \left( 76 \right) } }{ \sin { \left( 32 \right) } } -12\cos { \left( 72 \right) } \right) +36 } \\ \\ \therefore \quad f=10.8\quad \left( 1\quad d.p \right)$

So I would have to say that the answer is approximately (c).

6 0

3 years ago

Help plzzzzzz! Sandy works at a clothing store. She makes $9 per hour plus earns 10% commission on her sales. She worked 72 hour

Mamont248 [21]

Answer:

Step-by-step explanation:

Payment per hour is $8

commission is 15%

Total number of hours worked for 2 weeks is 73 hours

Total sales=$2095

commission earned for 2 weeks:

15/100×2095

=$314.25

Total amount earned in 73 hours:

73×8=$584

Total amount earned in commission and wages:

584+314.25

=$898.25

4 0

3 years ago

Use the simple interest formula to find the ending balance

IgorC [24]

The answer would be 5,875.00

4 0

3 years ago

What Ps the value of (100)^o

Bond [772]

Answer:

(100)^0=1

Step-by-step explanation:

This follows the laws of indices

6 0

3 years ago