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vaieri [72.5K]
3 years ago
15

If f(x)=(x+1)(x-2)(x-3) represents a student's displacement from school in

Mathematics
1 answer:
amm18123 years ago
5 0
A is the answer to your question
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The segments shown below could form a triangle?
Leni [432]

Answer:

<em>Option B; False</em>

Step-by-step explanation:

Consider a Triangle Inequality to prove that these segments could form a triangle;

| a - b | < c < a + b,\\| c - a | < b < a + c,\\| c - b | < a < b + c, Considering - a - segment AC ( 8 units ) - b - BC ( 7 units ), -  c - BC ( 15 units )\\\\| 8 - 7 | < 15 < 8 + 7,\\1 < 15 < 15, Now 15 is not < 15, it is =, thus ;\\Solution ; False

<em>These segments could not form a triangle</em>

3 0
2 years ago
Read 2 more answers
Solve the system of equation
nikdorinn [45]

Answer:

So the Point of intersection is (-4,-2)

Which is option A

Step-by-step explanation:

The given system of equations is

-0.1x - 0.8y = 2              ...................(i)

0.6x - 0.5y = -1.4           ...................(ii)

Let us take equation (i) and use method of substitution for solving it

the equation (i) is

-0.1 x - 0.8y = 2

Adding 0.8y on both sides

-0.1 x + 0.8 y - 0.8 y = 2 + 0.8 y

-0.1 x = 2 + 0.8 y

Dividing both sides -0.1

\frac{-0.1 x}{-0.1}=\frac{0.8 y}{-0.1}+\frac{2}{-0.1}

x = -8 y - 20                     ..........................(iii)

Now we will use this value and put it into equation (ii) to find the value of y

Equation (ii) is

0.6 x - 0.5 y = -1.4

Put value of x

0.6(-8 y - 20) - 0.5 y =-1.4

It becomes

-4.8 y - 12 - 0.5 y = -1.4

adding 12 on both sides

-4.8 y - 0.5 y - 12 + 12 = -1.4 + 12

it becomes by solving

-5.3 y = 10.6

Dividing both sides by -5.3

\frac{-5.3*y}{-5.3}=\frac{10.6}{-5.3}

So

y = -2

Now we have the value of y putting it in equation (iii)

Equation (iii) is

x = -8 y - 20    

Putting value of y

x = -8*(-2) - 20

x = 16-20

x=-4

So the Point of intersection is (-4,-2)

7 0
3 years ago
How many 3/4 are in 2
Lilit [14]
There are 2, 3/4 in 2
5 0
3 years ago
Read 2 more answers
Tramserran? Do you think you could lend a hand for these questions? You have saved my life on more than one occasion. It's Algeb
Makovka662 [10]

Answer:

#1). 6 , 18 , 54

#2). 5/3 , 14 / 9 , 41/27

#3). 1.5 , 2.5 , 2.5

Step-by-step explanation:

#1).

g(x) = 3x

g(2) = 3 . 2 = 6

g²(2) = 3 . 3 . 2 = 18

g³(2) = 3 . 3 . 3 . 2 = 54

#2).

g(x) = 1/3 x + 1

g(2) = 2/3 + 1 = 5/3

g²(2) = g(5/3) = 5/9 + 1 = 14/9

g³(2) = g(14/9) = 14/27 + 1 = 41/27

#3).

g(x) = -1 ║x - 2 ║ + 3

g(0.5) = -1 (1.5) + 3 = 1.5

g²(0.5) = g(1.5) = -1(0.5) + 3 = 2.5

g³(0.5) = g(2.5) = -1(0.5) + 3 = 2.5

8 0
3 years ago
Read 2 more answers
Find the axis of symmetry F(x)=x2-8x+15
aalyn [17]

Answer:

x = 4

Step-by-step explanation:

4 0
3 years ago
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