All categories

3 years ago

How many solutions are there to this nonlinear system?

Mathematics

1 answer:

Naya [18.7K]3 years ago

5 0

Answer:

two

Step-by-step explanation:

The number of solutions is the number of times the graphs intersect.

The line and the parabola intersect two times, so there are two solutions

You might be interested in

You have prizes to reveal! Go to your game board. *

kari74 [83]

Answer:

y = 1/4x^2 - 4.

Step-by-step explanation:

Vertex for is:

y = a(x - 0)^2 - 4 where a is a constant.

The graph passes through ( -8, 12) so substituting:

12 = a(-8)^2 - 4

12 = 64a - 4

64a = 16

a = 16/64 = 1/4.

So the equation is y = 1/4x^2 - 4.

4 0

3 years ago

Read 2 more answers

42 divided by 926 step by step

KATRIN_1 [288]

Answer:

42 cannot be divided into 926 .. however 926 can be divided by 42 and the answer will be 22.04 rounded of to 22

so your answer is: 22

8 0

3 years ago

Evaluate \dfrac {15}k

Georgia [21]

Answer:

Step-by-step explanation:

We desire to evaluate the fraction: $\dfrac{15}{k}$ when k=3.

This is a simple substitution, so what is required is

Replace k with the given number
Simplify the resulting expression

Therefore, when k=3

$\dfrac{15}{k}=\dfrac{15}{3}=5$

You can try the same for any value of k.

6 0

3 years ago

Kelly's art teacher asked him to draw a rectangle with a length of 6 inches and a width of 10 inches. After Kelly does so, his t

astraxan [27]

Answer: 15

Step-by-step explanation:

It’s pretty simple!

So first we set up the proportion, 6:10

We know that 3 is a common factor for 6 and 9, so we divide 6 by 2 and 10 by 2 and get the proportion 3:5, now we multiply both numbers by 3,

9:15!

4 0

2 years ago

If the blue radius below is perpendicular to the green chord and the segment

IgorLugansk [536]

Answer:

O B. 17 units

Step-by-step explanation:

The chord is AC and the radius of the circle is perpendicular to the chord at B. AB = 8.5 units. According to the perpendicular bisector theorem, if the radius of a circle is perpendicular to a chord then the radius bisects the chord. This means that chord AC is bisected by the radius of the circle at point B. The length of the circle is calculated using:

$AB=\frac{AC}{2}\\ AC=2*AB\\cross multiplying:\\AC = 2*8.5\ units\\AC = 17 \ units$

The length of the chord is 17 units.

4 0

3 years ago