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Molodets [167]
3 years ago
15

¿Cuál de los siguientes puntos no pertenece a la función cuadrática f(x) = 1-x^2 ?

Mathematics
1 answer:
dusya [7]3 years ago
3 0

Answer:

<h2>A. (0,1)</h2>

Step-by-step explanation:

The question lacks the e=required option. Find the complete question below with options.

Which of the following points does not belong to the quadratic function

f(x) = 1-x²?

a.(0,1) b.(1,0) c.(-1,0)

Let f(x) = 0

The equation becomes 1-x² = 0

Solving 1-x² = 0 for x;

subtract 1 from both sides;

1-x²-1 = 0-1

-x² = -1

multiply both sides by minus sign

-(-x²) = -(-1)

x² = 1

take square root of both sides;

√x² = ±√1

x = ±1

x = 1 and x = -1

when x = 1

f(x) = y = 1-1²

y = 1-1

y = 0

when x = -1

f(x) = y = 1-(-1)²

y = 1-1

y = 0

Hence the coordinate of the function f(x) = 1-x² are (±1, 0) i.e (1, 0) and (-1, 0). The point that does not belong to the quadratic function is (0, 1)

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What is the equation of the line that passes through the point (2,7) and has a slope of 6?
Mumz [18]

Answer:

y= 6x - 5

Step-by-step explanation:

3 0
3 years ago
A jar containing only dimes and quarters contains a total of 54 coins. The value of all the coins in the jar is $9.15. Solve by
Paladinen [302]

Answer: the jar contains 29 dimes and 25 quarters.

Step-by-step explanation:

The worth of a dime is 10 cents. Converting to dollars, it becomes

10/100 = $0.1

The worth of a quarters is 25 cents. Converting to dollars, it becomes

25/100 = $0.25

Let x represent the number of dimes contained in the jar.

Let y represent the number of quarters contained in the jar.

A jar containing only dimes and quarters contains a total of 54 coins.. This means that

x + y = 54

The value of all the coins in the jar is $9.15. This means that

0.1x + 0.25y = 9.15 - - - - - - - - - - - 1

Substituting x = 54 - y into equation 1, it becomes

0.1(54 - y) + 0.25y = 9.15

5.4 - 0.1y + 0.25y = 9.15

- 0.1y + 0.25y = 9.15 - 5.4

0.15y = 3.75

y = 3.75/0.15 = 25

x = 54 - y = 54 - 25

x = 29

7 0
3 years ago
El perímetro de un rectángulo es de 54 pulgadas. Su longitud dos veces es ancho. Encontrar la longitud y anchura del hallazgo re
elixir [45]
Longitud = L  Ancho = A
2A + 2L = 54
L = 2A    Sustituir este valor por L en la primera ecuación:
2A + 2(2A) = 54
2A + 4A = 54
6A = 54
A = 9
También porque L = 2A,
L = 2(9) = 18
3 0
3 years ago
Tanya has a garden with a trench around it. The garden is a rectangle with width 2 1/2 m and length 2 m. The trench and garden t
vichka [17]

Answer:

The area of a trench is 5.5 m² .

Step-by-step explanation:

Formula

Area of a rectangle = Length × Breadth

As given

Tanya has a garden with a trench around it.

The\ garden\ is\ a\ rectangle\ with\ width\ 2\frac{1}{2}\ m\ and\ length\ 2\ m.

i.e

The\ garden\ is\ a\ rectangle\ with\ width\ \frac{5}{2}\ m\ and\ length\ 2\ m.

Put in the above formula

Area\ of\ garden = \frac{5\times 2}{2}

                             = 5 m²

As given

The\ trench\ and\ garden\ together\ make\ a\ rectangle\ with\ width\ 3 \frac{1}{2}\ m\ and\ length\ 3 m.

i.e

The\ trench\ and\ garden\ together\ make\ a\ rectangle\ with\ width\ \frac{7}{2}\ m\ and\ length\ 3 m.

Area\ of\ garden\ with\ trench = \frac{7\times 3}{2}

Area\ of\ garden\ with\ trench = \frac{21}{2}

                                                  = 10.5 m²

Area of the trench = Area of garden with trench - Area of garden

Put the value in the above

Area of the trench = 10.5 m² - 5 m²

                               = 5.5 m ²

Therefore the area of a trench is 5.5 m² .


5 0
3 years ago
Read 2 more answers
The Miller family bought 4 crates of eggs last week. Each crate had 18 eggs. Since then, they have eaten 27 of the eggs. How man
Varvara68 [4.7K]

Answer:

45 eggs left

Step-by-step explanation:

if they had 4 crates and each crate has 18, then we have a total of 72 eggs

subtract 27 eaten eggs from 72

72-27=45

they have 45 eggs left

4 0
3 years ago
Read 2 more answers
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