All categories

3 years ago

A consistent, independent system of equations is a system with ________.

Mathematics

1 answer:

erastovalidia [21]3 years ago

8 0

Answer:

Option A. Intersecting lines that have different slopes and different y-intercepts.

Step-by-step explanation:

we know that

A system of two linear equations can have one solution, an infinite number of solutions, or no solution.

If a system has at least one solution, it is said to be consistent

If a consistent system has exactly one solution, it is independent

If we have intersecting lines that have different slopes and different y-intercepts

then

will have one solution

therefore

The system will be consistent independent

You might be interested in

An expression is a mathematical phrase. Expressions are different from equations because they do not have values on both sides o

Marianna [84]

Answer:

The answer is A. 1 - 15

Step-by-step explanation:

An expression is a mathematical phrase that contains terms and operations but no equal sign.

8 0

2 years ago

an insect population grows at a rate of 25% per year.if its initial population is 4.2 million what will be its population in thr

marusya05 [52]

The population after 3 years would be 8.20 millions.

Step-by-step explanation:

Given,

Initial population = I = 4.2 million

Growing rate = r = 25%

If the initial population and growing rate is given, the formula to calculate the population (x) after n years would be:

$x = I * (1 + \frac{r}{100} )^{n}$

By putting the values in the equation, we get

$x = 4.2 * (1 + \frac{25}{100} )^{n}$

The population after 1st year (x1) would be

$x1 = 4.2 * (1 + \frac{25}{100} )^{1}$

x1 = 5.25 million

Similarly,

$x2 = 4.2 * (1 + \frac{25}{100} )^{2}$

x2 = 6.56 million

$x3 = 4.2 * (1 + \frac{25}{100} )^{3}$

x3 = 8.20 million

Hence, the population after 3 years would be 8.20 millions.

But, if you are asking about the total population at that time. It would be

I + x1 + x2 + x3 = 24.21 million

7 0

4 years ago

Round 34,330 to the nearest thousand

vovangra [49]

Answer:30,000

Step-by-step explanation:

5 or more is greater 4 or you give it a rest

3 0

4 years ago

Read 2 more answers

A rectangle has a height of 3 and width of 3x^2+ 4 <br> what is the area?

Novosadov [1.4K]

Answer:

9x² + 12

Step-by-step explanation:

Area = Length × Width

Area = 3 × (3x² + 4)

Area = 9x² + 12

5 0

4 years ago

Read 2 more answers

Solve for x and then determine the measure of the exterior angle.

neonofarm [45]

Answer:

x=25, 120

Step-by-step explanation:

The two angles form a straight line so they add to 180

60 + 4x +20 =180

Combine like terms

4x+80 = 180

Subtract 80 from each side

4x+80-80 =180-80

4x= 100

Divide by 4

4x/4 =100/4

x= 25

The exterior angle is

4x+20 = 4*25+20 =100+20 =120

6 0

3 years ago

Read 2 more answers