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2 years ago

The system has.......

Mathematics

2 answers:

Lerok [7]2 years ago

6 0

Answer:

An infinite number of solutions.

Step-by-step explanation:

Whenever lines overlap each other, it means they have an infinite number of solutions.

mezya [45]2 years ago

3 0

Answer:

Pretty sure it's one solution

Step-by-step explanation:

You might be interested in

1.) Use the quadratic formula to solve the equation. If necessary, round to the nearest hundredth .x squared minus 21 x equals n

Andrew [12]

Part 1
We are given $x^2-21x=-4x$ . This can be rewritten as $x^2-18x=0$ .
Therefore, a=1, b=-18, c=0.
Using the quadratic formula
$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}=\frac{-\left(-18\right)\pm \sqrt{\left(-18\right)^2-4\left(1\right)\left(0\right)}}{2\left(1\right)}$
$x=\frac{18\pm 18}{2}$

The values of x are
$x_1=\frac{18-18}{2}=0$
$x_2=\frac{18+18}{2}=18$

Part 2
Since the values of y change drastically for every equal interval of x, the function cannot be linear. Therefore, the kind of function that best suits the given pairs is a quadratic function.

Part 3.
The first equation is $y=x^2+2$ .
The second equation is $y=3x+20$ .

We have
$x^2+2=3x+20$
$x^2-3x-18=0$
Factoring, we have
$\left(x-6\right)\left(x+3\right)=0$
Equating both factors to zero.
$x_1-6=0\rightarrow x_1=6$
$x_2+3=0\rightarrow x_2=-3$

When the value of x is 6, the value of y is
$y=3\left(6\right)+20=38$

When the value of x is -3, the value of y is
$y=3\left(-3\right)+20=11$

Therefore, the solutions are (6,38) or (-3,11)

7 0

2 years ago

Using elimination, what is the solution to the following system? 2x+4y=16 -2x-3y=-13

VikaD [51]

Answer:

x=2, y=3. (2, 3).

Step-by-step explanation:

2x+4y=16

-2x-3y=-13

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

y=3

2x+4(3)=16

2x+12=16

2x=16-12

2x=4

x=4/2

x=2

8 0

2 years ago

What is the y-intercept of the function f(x)=4 – 5x? A:-5 B:-4 C:4 D:-5

Bogdan [553]

Answer: option C is the correct answer

Step-by-step explanation:

The y-intercept of the function is the point on the y or vertical axis at which the straight line cuts through it. The value on the y axis is read off as the y-intercept .

The equation of a straight line is modelled using the slope - intercept equation of

y = mx + c

Where m is the slope( change in value of y/ change in value of x.

c = the y-intercept

Looking at the function given,

f(x)=4 – 5x? Where f(x) is the same as y in our slope intercept equation.

Rearranging the function, it becomes

f(x)= – 5x +4

The intercept is 4

Option C is the correct answer.

7 0

3 years ago

A baseball players batting average is 0.625. Write the batting average as a fraction.

Licemer1 [7]

62.5/100 is the batting average as a fraction

8 0

3 years ago

At 8:30 A.M.., Briana started filling a 2,800-gallon pond. At 10:30 A.M., she had filled 1,400 gallons. At what time will the po

Sati [7]

Answer:

12:30 pm

Step-by-step explanation:

8:30 am pond is empty

10:30 am pound is 1,400 gallons full

time? pound is 2,800 gallons full

from 8:30 to 10:30 are 2 hours so the rate of filling up is

1,400 gallons in 2 hours

to have a whole pond filled we need another 2 hours because

in another 2 hours will have another 1,400 gallons so a pound full. 8:30 am + 2hours = 12:30 pm

8:30 am pond is empty

10:30 am pound is 1,400 gallons full

12:30 pm pound is 2,800 gallons full.

3 0

2 years ago