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densk [106]
2 years ago
8

What are the solutions of the equation f(x)=g(x) 0 1 2 3 4

Mathematics
2 answers:
arlik [135]2 years ago
5 0

Answer:

1

3

Step-by-step explanation:

According to the table :

f(1) = 0 = g(1) ⇒ 1 is a solution to the equation f(x) = g(x)

f(3) = 6 = g(3) ⇒ 3 is a solution to the equation f(x) = g(x)

Alex2 years ago
3 0

Answer:

(1, 0 ) and (3, 6 )

Step-by-step explanation:

we are looking in the table for values of x that give both f(x) and g(x) the same value.

x = 1 → f(x) = g(x) = 0

x = 3 → f(x) = g(x) = 6

then the solutions to f(x) = g(x) are

(1, 0 ) and (3, 6 )

You might be interested in
Which point does not lie on the circle centered at (3, 2) with radius 5? A) (0, 6) B) (3, -3) C) (-2, 2) D) (3, 0)
vladimir1956 [14]

Answer:

D

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

here (h, k) = (3, 2) and r = 5, hence

(x - 3)² + (y - 2)² = 25 ← equation of circle

If an ordered pair lies on the circle then it satisfies the equation, if not then it does not lie on the circle.

Substitute the coordinates of the points into the left side of the equation of the circle and check validity.

A

(0 , 6) : (0 - 3)² + (6 - 2)² = 9 + 16 = 25 ← lies on circle

B

(3, - 3) : (3 - 3)² + (- 3 - 2)² = 0 + 25 = 25 ← lies on circle

C

(- 2, 2) : (- 2 - 3)² + (2 - 2)² = 25 + 0 = 25 ← lies on circle

D

(3, 0) : (3 - 3)² + (0 - 2)² = 0 + 4 = 4 ≠ 25 ← not on circle

7 0
3 years ago
1. Many Alpine ski centers base their calculations of revenues and profits on the belief that the average skier ski’s four times
pshichka [43]

Answer:

We cannot infer at the 10% significance level that the assumption of ski centers is wrong

Step-by-step explanation:

The null hypothesis for this question can be stated as  

Null hypothesis H0:  =4  

Alternate hypothesis Ha:  

The test is two tailed

Standard Deviation –  

 = 2

z=(4.84-4)/(2/sqrt(63))

=3.33

Z(0.1/2)=1.645 is less than Z =3.334

Hence, we will reject H0  

Hence, the average growth skier ski’s four times a year is not true  

6 0
2 years ago
Plz Hurry I would Aprecate it
Irina18 [472]

Answer:

  B.  120 units³

Step-by-step explanation:

The area of the large white rectangle on the right represents the area of one of the larger surfaces of the prism. It appears to be (10 units) × (6 units), so has an area of 60 units². (You can count the squares there, if you like.)

That is adjacent to a gray area on the net that is 2 units wide, indicating that the prism is 2 units deep. Thus the volume is ...

  (60 units²) × (2 units) = 120 units³

4 0
3 years ago
a triangle has area 49.5 cm^2. if the base of the triangle is 9 cm, what is the height of the triangle
Anika [276]
Area of a triangle = (height * base ) / 2

height = (Area * 2) / base
height = (49.5 * 2) / 9
height = 99 / 9
height = 10 cm²
3 0
3 years ago
2 = x-3, then x equals
spayn [35]

Answer:

x = 5

Step-by-step explanation:

2 = x-3

<em>Adding 3 to both sides</em>

2+3 = x

5 = x

<u><em>OR </em></u>

x = 5

4 0
3 years ago
Read 2 more answers
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