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fredd [130]
3 years ago
7

Sketch the graph of y = 2(x – 2)2 and identify the axis of symmetry

Mathematics
1 answer:
Rus_ich [418]3 years ago
7 0

Answer:

x = 2

Step-by-step explanation:

The minimum point of the curve is (2, 0). Hence, axis of symmetry is x = 2

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3x-10-4
snow_lady [41]

Answer/Step-by-step Explanation:

1. 3x - 10 +4 if x = 3

To evaluate, plug in the value of x in the expression given

3(3) - 10 + 4 = 9 - 10 + 4

= 3

2. \frac{x}{2} + 6x

if x = -12

\frac{(-12)}{2} + 6(-12)

- 6 - 72 = - 78

3. 8(x - y), if x = 2, y = 6

8(2 - 6) = 8(-4) = -32

4. x + xy, if x = 3, y = -2.5

3 + (3)(-2.5) = 3 + (-7.5)

= 3 - 7.5 = - 4.5

5. (2x)² + 6, if x = -2

(2*-2)² + 6 = (-4)² + 6

= 16 + 6 = 22

6. 3x + 4y - 3x, if x = 2, y = 4

3(2) + 4(4) - 3(2) = 6 + 16 - 6

= 16

7. -10x + \frac{4}{x}

If x = -2

-10(-2) + \frac{4}{-2}

20 + (-2) = 20 - 2 = 18

8. 3(8x - 10) + 5x, if x = ½

3(8*½ - 10) + 5(½)

3(4 - 10) + 2.5

3(-6) + 2.5 = -18+2.5 = - 20.5 or 20½

9. x + 8y - (x)², if x = -5, y = ¼

-5 + 8(¼) - (-5)² = -5 + 2 - (25)

= -3 - 25 = -28

10. (8x)² + 6x + 2, if x = -3

(8*-3)² + 6(-3) + 2 = (-24)² - 18 + 2

= 576 - 18 + 2 = 560

11. 2x² + 4y² + xy, if x = ½, y = 2

2(½)² + 4(2)² + (½)(2)

= 2(¼) + 4(4) + 1

= ½ + 16 + 1 = ½ + 17 = 17½

12. 8x + 2y, if x = 1.5, y = -2.2

8(1.5) + 2(-2.2)

12 - 4.4 = 7.6

13. \frac{5}{2}(x - 6) + 4

if x = 8.

\frac{5}{2}(8 - 6) + 4

\frac{5}{2}(2) + 4

= 5 + 4 = 9

14. 3x - 8x² + 7, if x = 4.5

3(4.5) - 8(4.5)² + 7

13.5 - 8(20.25) + 7

13.5 - 162 + 7 = -141.5

15. -2x² + 8y, if x = 3, y = -9

-2(3)² + 8(-9)

-2(9) - 72 = - 18 - 72 = 90

16. (-5x)² - 3x + x, if x = -3.5

(-5*-3.5)² - 3(-3.5) +(-3.5)

(17.5)² + 10.5 - 3.5

306.25 + 10.5 - 3.5 = 313.25

8 0
3 years ago
Which of the following could be the equation of the graph shown below? Check all that apply.
Mashutka [201]

Answer:

y = -2x + 5

Х-y= 9

2x + y = 4

y = 5

lmk if incorrect, please give brainliest

8 0
3 years ago
What is the least​ four-digit number in the first 15 rows of​ pascal's triangle?
Allushta [10]

Please find the attached file for a better understanding of the explanation given here.

the attached diagram is a generated image of the first fifteen rows of a pascal's triangle. As can be seen from the image, the least​ four-digit number in the first fifteen rows of​ pascal's triangle is 1001.

In the diagram attached that number is present in the very last row and is highlighted using a yellow rectangle.

4 0
3 years ago
Lin and Han's families provide money for their school lunch accounts.
Marizza181 [45]

Answer:

1. Lin

2. 3 weeks

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
En una tienda de ropa vas a comprarte una pantalones que están de 150 a 90 euros y una camiseta de 40 a 24 ¿ tienen el mismo por
uranmaximum [27]

Respuesta:

Sí, tienen el mismo descuento del 40%

Explicación paso a paso:

Dado :

PANTALÓN :

Precio inicial = 150

Precio con descuento = 90

Porcentaje de descuento en el precio:

(150 - 90) / 150 * 100%

60/150 * 100%

0,4 * 100

= 40%

CAMISA:

Precio inicial = 40

Precio con descuento = 24

Porcentaje de descuento en el precio:

(40-24) / 150 * 100%

16/40 * 100%

0,4 * 100

= 40%

Sí, tienen el mismo descuento del 40%

8 0
3 years ago
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