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3 years ago

How many solutions exist for the system of equations in the graph?

Mathematics

1 answer:

shutvik [7]3 years ago

8 0

Answer:

Two solutions

Step-by-step explanation:

The number of points of intersections represents the number of solutions to the system of equations. Since the parabola intersects the circle at two points, there are two solutions to the circle.

Furthermore, these two points of intersection are exactly the solutions to the system of equations. Finding the coordinates of the points of intersection will give you the solutions to the system of equations.

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4, percent of a number is what fraction of that number?

Rama09 [41]

Answer:

a tenth of it i think is what you're asking.

Step-by-step explanation:

7 0

3 years ago

if you could generate energy by fusing the hydrogen in solution a, how much of the solution would you need to generate the elect

iogann1982 [59]

Answer:

We know that:

Energy released by fusion of hydrogen in 1 liter of solution A = 7.6x10^10 J

Energy used daily in a certain family home = 3x10^4 J

(you did not write the units, so i suppose that are the same in both cases)

Then, if x is the number of liters of solution A used, the energy produced will be:

E(x) = x*7.6x10^10 J

And we want this equal to 3x10^4

then:

E(x) = x*7.6x10^10 J = 3x10^4 j

now we solve this for x.

x = (3x10^4 j)/(7.6x10^10 j) = 3.9x10^-7

Then you need to use 3.9x10^-7 L of solution a.

4 0

3 years ago

<img src="https://tex.z-dn.net/?f=f%28x%29%3D%5Cfrac%7B3x-6%7D%7B5-2x%7D" id="TexFormula1" title="f(x)=\frac{3x-6}{5-2x}" alt="f

Svetradugi [14.3K]

i) The given function is

$f(x)=\frac{3x-6}{5-2x}$

The domain is all real values except the ones that will make the denominator zero.

$5-2x=0$

$-2x=-5$

$x=2.5$

The domain is all real values except, x=2.5.

ii) To find the vertical asymptote, we equate the denominator to zero and solve for x.

$5-2x=0$

$-2x=-5$

$x=2.5$

iii) If we equate the numerator to zero, we get;

$3x-6=0$

$3x=6$

This implies that;

$x=2$

iv) To find the y-intercept, we put x=0 into the given function to get;

$f(0)=\frac{3(0)-6}{5-2(0)}$ .

$f(0)=\frac{-6}{5}$ .

$f(0)=-\frac{6}{5}$ .

The degrees of both numerator and the denominator are the same.

The ratio of the coefficient of the degree of the numerator to that of the denominator will give us the asymptote.

The horizontal asymptote is $y=-\frac{3}{2}$ .

vi) The function has no common factors that are at least linear.

The function has no holes in it.

vii) This rational function has no oblique asymptotes because it is a proper rational function.

3 0

3 years ago

Find the area of the square ABCD

icang [17]

Step-by-step explanation:

Area of Square ABCD = 10m * 10m = 100m².

7 0

2 years ago

Read 2 more answers

Community Service You are making a bulletin board to

liubo4ka [24]

Answer:

72 ads

Step-by-step explanation:

Let

x -----> the number of ads

we know that

5 sheets of construction paper for a title banner plus the number of ads multiplied by one quarter of sheet must be equal to 23 sheets of construction paper

The linear equation that represent this problem is

$\frac{1}{4}x+5=23$

Solve for x

Multiply by 4 both sides to remove the fraction

$x+20=92$

Subtract 20 both sides

$x=92-20$

$x=72\ ads$

3 0

3 years ago