All categories

3 years ago

What is the solution to the system of equations?

Mathematics

2 answers:

DaniilM [7]3 years ago

5 0

No solution would be the answer.

german3 years ago

3 0

ANSWER

The given system of equations has no solution.

EXPLANATION

We write the two equations in the slope-intercept form,

$y = mx + c$

The first equation is
$2x - y = 7$

We make y the subject to obtain,

$y = 2x - 7 - - (1)$

The second equation is already in slope intercept form.

$y = 2x + 3 - - (2)$

We can see that the two equations have the same slope but different y-intercept. This implies that, the two equations will never intersect. Therefore the system of equations has no solution.

You might be interested in

For all values of x f(x)

Firlakuza [10]

Answer:

f(g(5)) = 64

g(f(5)) = 28

Step-by-step explanation:

Given that f(x) = x^2 and g(x) = x+3

f(g(x) = f(x+3)

f(x+3) = (x+3)^2

f(g(x)) = (x+3)^2

f(g(5)) = (5+3)^2

f(g(5)) = 8^2

f(g(5)) = 64

b) g(f(x)) = g(x^2)

g(f(x)) = x^2 + 3

g(f(5)) = 5^2 +3

g(f(5)) = 25 + 3

g(f(5)) = 28

Hence the value of g(f(5)) is 28

5 0

3 years ago

In the United States, there are 59 different species of mammals that are endangered,

jolli1 [7]

Given Information:

Number of endangered mammal species = 59

Number of endangered bird species = 75

Number of endangered fish species = 68

Required Information:

Probability of either a mammal or a fish = ?

Answer:

P(mammal or fish) = 127/202 = 0.6287 = 62.87%

Step-by-step explanation:

We want to randomly select one animal and find out the probability of either a mammal or a fish.

The total number of endangered species of animals is given by

Total animals = mammal species + bird species + fish species

Total animals = 59 + 75 + 68 = 202

The probability of selecting a endangered mammal is

P(mammal) = no. of endangered mammal/total no. of endangered animals

P(mammal) = 59/202

The probability of selecting a endangered fish is

P(fish) = no. of endangered fish/total no. of endangered animals

P(fish) = 68/202

Finally, the probability of selecting either a mammal or a fish is

P(mammal or fish) = 59/202 + 68/202

P(mammal or fish) = 127/202

P(mammal or fish) = 0.6287

P(mammal or fish) = 62.87%

8 0

3 years ago

What is a solutions of x^2-2x+10=0?

Debora [2.8K]

Answer:

x = 1± 3i

Step-by-step explanation:

x^2-2x+10=0

We can complete the square to solve by subtracting 10 from each side

x^2-2x+10-10=-10

x^2 -2x = -10

We need to add (2/2) ^2 to each side or 1

x^2 -2x+1 = -10 +1

x^2 -2x+1 = -9

The left side factors into (x- (2/2) ) ^2

(x-1) ^2 = -9

Take the square root of each side

sqrt((x-1) ^2 =± sqrt(-9)

x-1 = ±sqrt(-1) sqrt(3)

Remember the sqrt(-1) = i

x-1 = ± 3i

Add 1 to each side

x-1+1 = 1± 3i

x = 1± 3i

8 0

2 years ago

HELP 7th grade math

Charra [1.4K]

1,920? I think .......

5 0

2 years ago

Read 2 more answers

the jones family paid $150 to a painting contractor to stain their 12 ft by 15 ft deck. The smith family 16 ft by 20 ft. What pr

vitfil [10]

12ft x 15ft = 180ft divided $150 = 1.2(this is how much the fts cost)
16ft x 20ft = 320ft divided by 1.2 = $266.66

8 0

3 years ago