MATHEMATICS HIGH SCHOOL

Which graph represents the function of f(x) = the quantity of 4 x squared minus 4 x minus 8, all over 2 x graph of 2 x minus 4, with discontinuity at negative 1, negative 6
graph of 2 x minus 4, with discontinuity at 1, negative 2
graph of 2 x plus 2, with discontinuity at negative 1, 0
graph of 2 x plus 2, with discontinuity at 1, 4
please and thank you

Answers

Answer 1

Answer:

Solution:

The given function is

f(x)= $(4 x^2- 4 x -8)/(2 x)$

f(x)= $(4 x^2)/(2 x)-(4 x)/(2x) -(8)/(2x)\n\n = 2 x -2 -(4)/( x)$

f(x)= 2 x - 2 - $(4)/(x)$

To find the points of Discontinuity

Put, f(x)=0

→ 2 x - 2 - $(4)/(x)$ =0

→2 x² - 2 x - 4=0×x

→2 (x²-x-2)=0

→ x² - x -2=0

Splitting the middle term

→ x² - 2 x + x -2=0

→ x×(x-2)+ 1 × (x-2)=0

→ (x+1) (x-2)=0

Gives, x= -1, and x=2.

So, the graph represented by f(x)= $(4 x^2- 4 x -8)/(2 x)$ is equal to f(x)= 2 x - 2 - $(4)/(x)$ with points of Discontinuity at -1 and 2.

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the relationship between x and y is proportional. when x is 3 and y is 15. what is x when y is 60? what is the value of x.
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7. Find the value of:a) The number when 40% of the number is 10
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Two sides of a triangle have lengths 10 and 15. What must be true about the length of the third side? less than 25 / less than or equal to 25 /equal to 25/ more than 25

Answers

The length of the third side of a triangle is always less than the sum of the other two legs. Therefore if we add the two legs we obtain,

leg 1 + leg 2

10 + 15 = 25

Since the sum of the legs is 25, thus, the third leg should be less than 25.

Answer:

A. Less than 25.

Step-by-step explanation:

Let x represent 3rd side of triangle.

We have been given hat two sides of a triangle have lengths 10 and 15.

We will use triangle inequality theorem to find the 3rd side of the triangle. Triangle inequality theorem states that 3rd side of a triangle must be less than the sum of other two sides of triangle.

Using triangle inequality theorem, we can set following inequalities:

$x+10>15$

$x+10-10>15-10$

$x>5$

Therefore, the length of third side should be greater than 5.

$10+15>x$

$25>x$

$x<25$

Therefore, the length of third side should be less than 25 and option A is the correct choice.

In a fruit cocktail, for every 18 ml of orange juice you need 3 ml of apple juice and 54 ml of coconut milk. What is the ratio of apple juice to coconut milk to orange juice expressed in its simplest form?

Answers

Answer:

1:18:6

Step-by-step explanation:

3:54:18

This equals 1:18:6

What is 31/20 in simplest form?

Answers

31/20 is already in its simplest form. The simplest form is when the two numbers no longer have a common factor

Need help, have to submit this very soon!!

Answers

Answer:

see explanation

Step-by-step explanation:

length = $(60)/(8)$ = 7.5 in

scale factor = $(image)/(original)$ = $(8)/(60)$ = $(2)/(15)$

---------------------------------------------------

length = $(192)/(4)$ = 48 cm

scale factor = $(omage)/(original)$ = $(4)/(192)$ = $(1)/(48)$

Please help me out.................

Answers

Answer:

y = 15

Step-by-step explanation:

In a parallelogram, opposite lengths are equal.

So it means that the length (5y - 20) is equal to (2y + 25).

Now that there is only one variable in the equation, we can solve for the variable.

5y - 20 = 2y + 25

5y - 2y = 25 + 20

3y = 35

y = 15

What is the next term in this geometric sequence
5/6,5/9,10/27,20/81

Answers

$a_1=(5)/(6);\ a_2=(5)/(9);\ a_3=(10)/(27);\ a_4=(20)/(81)\n\n\nq=a_2:a_1\n\nq=(5)/(9):(5)/(6)=(5)/(9)\cdot(6)/(5)=(2)/(3)\n\n\na_5=a_4\cdot q\n\na_5=(20)/(81)\cdot(2)/(3)=(40)/(243)\to answer$

(20/81) * (2/3) = 40/243;

the next term in this geometric sequence is 40/243.

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