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2 years ago

Simplify the expression x+1+ 1/x+1 and give your answer in the form of f(x) / g(x)

Mathematics

1 answer:

mr Goodwill [35]2 years ago

6 0

F(x)=(x+1)+1
g(x)=x+1

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The graph of $y = ax^2 + bx + c$ is shown below. Find $a \cdot b \cdot c$. (The distance between the grid lines is one unit.)

Savatey [412]

Answer:

$a\cdot b\cdot c=\frac{15}{4}$

Step-by-step explanation:

Vertex is the minimum or maximum point of parabola

Vertex of parabola is (h,k)

Therefore, from given graph (-3,-2) is the lowest point.

Vertex of parabola is at (-3,-2).

Standard equation of parabola

$y-k=a(x-h)^2$

Substitute the values

$y-(-2)=a(x-(-3))^2=a(x+3)^2$

$y+2=a(x+3)^2$

(-1,0) lies on the parabola.

Therefore, it satisfied the equation of parabola.

$0+2=a(-1+3)^2=4a$

$a=2/4=1/2$

Now, using the value of a

$y+2=1/2(x+3)^2=1/2(x^2+6x+9)$

$y+2=\frac{1}{2}x^2+3x+\frac{9}{2}$

$y=\frac{1}{2}x^2+3x+\frac{9}{2}-2$

$y=\frac{1}{2}x^2+3x+\frac{9-4}{2}$

$y=\frac{1}{2}x^2+3x+\frac{5}{2}$

By comparing with

$y=ax^2+bx+c$

We get

$a=\frac{1}{2}, b=3, c=5/2$

$a\cdot b\cdot c=\frac{1}{2}\times 3\times \frac{5}{2}$

$a\cdot b\cdot c=\frac{15}{4}$

7 0

2 years ago

If v = 35 , a = 4 , t = 5 and v = u + a t , evaluate u .

Llana [10]

v = u + at

=> 35 = u + (4×5)

=> 35 = u + 20

=> 35 - 20 = u

=> 15 = u

4 0

3 years ago

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In a town of 40,000 people, it is expected 41.9% will watch the Súper bowl. How many people in the town will watch the Súper bow

kondaur [170]

Answer:

16,7600

Step-by-step explanation:

3 0

3 years ago

Solve the inequality for w

kobusy [5.1K]

Answer:

w ≥ 23

Step-by-step explanation:

Add 3 to both sides of this inequality, obtaining:

w ≥ 23. In other words, w must be 23 or larger. Symbolically: [23, infinity)

3 0

3 years ago

Find a positive angle less than one revolution around the unit circle that is co-terminal with the given angle: 52pi/5

Ludmilka [50]

We know that
Two angles are said to be co-terminal if they have the same initial side and 
the same terminal side.

(52π/5)-----> 10.4π
so
(52π/5)-5*2π------> (2π/5)

the answer is
the positive angle less than one revolution around the unit circle that is co-terminal with angle of 52π/5 is 2π/5

7 0

3 years ago

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