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Shkiper50 [21]
3 years ago
6

= (4x3 + 7x2 – 2) (2x2 – 3x + 8) how to simplify this?

Mathematics
1 answer:
valentinak56 [21]3 years ago
3 0

Answer:

24 ( 12 -3x)

Step-by-step explanation:

(4x3 + 7x2 – 2) (2x2 – 3x + 8)

(12 + 14 - 2) (4 - 3x + 8)

(26-2) (12 - 3x)

24 (12 -3x)

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Identify the phase shift of each function. Describe each phase shift ( use a phrase like 3 units to the left):
Rus_ich [418]

Answer:

The phase shift:

1 unit to the right and 1 unit up

Step-by-step explanation:

∵ y = 1 + sin2(x - 1)

∴ y = 1 + sin(2x - 2)

∵ y = Sin(Bx - C) + D

∵ The vertical shift is D

∴ The horizontal shift is -C/B

∴ The vertical shift is 1 unit up

∴ The horizontal shift is --2/2 = 1 ⇒ 1 unite to the right

5 0
3 years ago
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melamori03 [73]

Answer:

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2 years ago
Find the number of real zeros of
Amiraneli [1.4K]

Answer:

B

Step-by-step explanation:

Using the determinant to determine the type of zeros

Given

f(x) = ax² + bx + c ( a ≠ 0 ) ← in standard form, then the discriminant is

Δ = b² - 4ac

• If b² - 4ac > 0 then 2 real and distinct zeros

• If b² - 4ac = 0 then 2 real and equal zeros

• If b² - 4ac < 0 then 2 complex zeros

Given

f(x) = (x - 1)² + 1 ← expand factor and simplify

     = x² - 2x + 1 + 1

    = x² - 2x + 2 ← in standard form

with a = 1, b = - 2, c = 2, then

b² - 4ac = (- 2)² - (4 × 1 × 2) = 4 - 8 = - 4

Since b² - 4ac < 0 then the zeros are complex

Thus P(x) has no real zeros

6 0
3 years ago
A rectangle initially has width 7 meters and length 10 meters and is expanding so that the area increases at a rate of 8 square
Tems11 [23]

Answer:

The length of rectangular is increasing at a rate 0.5714 meters per hour.

Step-by-step explanation:

We are given the following in the question:

Initial dimensions of rectangular box:

Length,l = 10 m

Width,w = 7 m

\dfrac{dA}{dt} = 8\text{ square meters per hour}\\\\\dfrac{dw}{dt} = 40\text{ centimeters per hour} =0.4\text{ meters per hour}

We have to find the rate of increase of length.

Area of rectangle =

A = l\times w

Differentiating we get,

\displaystyle\frac{dA}{dt} = \frac{dl}{dt}w + \frac{dw}{dt}l

Putting values, we get,

8 = \dfrac{dl}{dt}(7) + (0.4)(10)\\\\\dfrac{dl}{dt}(7) = 8 -4\\\\\dfrac{dl}{dt} \approx 0.5714

Thus, the length of rectangular is increasing at a rate 0.5714 meters per hour.

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2 years ago
Two sixth-grade science classes are making salt water solutions. The first class (Class A) is using a ratio of three parts salt
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