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2 years ago

Which phrase best describes the translation from the group y=2x^2 to the graph of y= 2x^2 +5

Mathematics

1 answer:

dsp732 years ago

7 0

Answer:

The graph move up 5.

Step-by-step explanation:

When we add a constant to the end of a parabola, it shifts the graph up and down. Since the constant here is positive, the graph moves up by that number (5)

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2) Dada a equação x2 – 4x – 12, faça o que se pede.

alexandr1967 [171]

Answer:

a) x1 = 6 and x2 = -2

b) -2

Step-by-step explanation:

To find the roots of the quadratic equation, we can use the Bhaskara's formula:

Delta = b^2 - 4ac

Delta = (-4)^2 - 4*1*(-12) = 64

sqrt(Delta) = 8

x1 = (-b + sqrt(Delta)) / 2a

x1 = (4 + 8) / 2

x1 = 6

x2 = (-b - sqrt(Delta)) / 2a

x2 = (4 - 8) / 2

x2 = -2

The roots are 6 and -2, so the smaller root is -2

4 0

3 years ago

What is the length of a rectangle with width 10 inches and area 45 inches^2? Use 3.14

gogolik [260]

Why would we need 3.14 as pi? The answer is 45/10 = 4.5 inches.

4 0

3 years ago

Are these equations equivalent?

Tpy6a [65]

Answer:

Yes, 2x=4 is 2 simply by dividing, and 4x+5=13 is 2 as well, because 5-13 is 8 and 8 divided by 4 is 2

4 0

3 years ago

Read 2 more answers

What power of 10 is used to write the number

Anastasy [175]

Answer: Seventh power of 10

Step-by-step explanation:

X > 1 so exponent will be positive and decimal point moves left. At each point divide X by 10, add 1 to exponent of 10. Exponent starts at zero.

Each time you move the decimal point one to left, you have divided the number by 10, so you have to compensate by multiplying the 10^n factor by 10, say 10 × 10^3 = 10×10×10×10 = 10^4.

12345678 = 12345678 × 10^0

= 1234567.8 × 10^1

= 123456.78 × 10^2

= 12345.678 × 10^3

= 1234.5678 × 10^4

= 123.45678 × 10^5

= 12.345678 × 10^6

= 1.2345678 × 10^7

Each time you move decimal to right, you have multiplied the number by 10, so you have to compensate by dividing the 10^n by 10, subtracting one from exponent.

0.000123 × 10^0 = 0.00123 × 10^-1

= 0.0123 × 10^-2 = 0.123 × 10^-3 = 1.23 × 10^-4

10^-2 / 10 = (1/(10×10)) / 10 = 1/(10×10×10) = 10^-3

6 0

3 years ago

Three assembly lines Alpha, Beta, and Gamma make the same power transistor. Each of the assembly lines has its own level of effi

vova2212 [387]

Answer:

P [ β / Def] = 0,6521 or 65,21 %

Step-by-step explanation:

Tree diagram:

0,20 (α) Defective 0,02

0,50 (β) defective 0,06

0,30 (γ) defective 0,04

According to Baye´s Theorem

P [ A/B] = P[A] * P [ B/A] / P[B]

if we call

β = A and Defective = B then P[β] = P[A] and P[Defective] = P[B]

we get :

P [ β / Def] = P[β] * P [ def./β] / P[def]

Then

P[β] = 0,5

P[def/β] = 0,06

P [Defective] = 0,02* 0,2 + 0,06*0,5 + 0,04*0,3

P [Defective] = 0,004 + 0,03 + 0,012

P [Defective] = 0,046

P [ β / Def] = 0,5 * 0,06 / 0,046

P [ β / Def] = 0,6521 or 65,21 %

4 0

3 years ago