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4 years ago

I need help with this math problem. PLEASE!

Mathematics

1 answer:

vagabundo [1.1K]4 years ago

5 0

Answer:

the combined length of the three longest pieces 11/6 units

Step-by-step explanation:

What is the combined length of the three longest pieces?

Given that:

1/3 has 5 x's
1/2 has 4 x's
2/3 has 2 x's

=> the length of the three longest pieces are:

2/3 for the 1st longest length

2/3 for the 2nd longest length

1/2 for the 3rd longest length

=> the combined length of the three longest pieces

= The sum of the 3 lenghts

= 2/3 + 2/3 + 1/2

= 11/6 units

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A pattern exists among the units digit of the posers of 8 as shown in the diagram.

guajiro [1.7K]

Answer:

B) 4

Step-by-step explanation:

We can solve this by observing some pattern.

The powers ending in 4 as unit digit are:

${8}^{2} , {8}^{6} , {8}^{10} , {8}^{14} , {8}^{20} ,...$

The exponents form the sequence:

2,6,10,14,20,...

We need to check if 62 belongs to this sequence.

This is an arithmetic sequence with a common difference of 4 and a first term of 2.

The explicit formula is

$2 + 4(n - 1)$

We equate this to 62 and solve for n.

$2 + 4(n - 1) = 62 \\ 4(n - 1) = 60 \\ n - 1 = 15 \\ n = 16$

Since n is a natural number, 62 belongs to the sequence.

Hence

${8}^{62}$

will have a unit digit of 4.

4 0

3 years ago

The monthly cost of a certain long distance service is given by the linear function y=0.08x+ 8.95 where Y is in dollars and X is

Leviafan [203]

Answer:3747

Step-by-step explanation:

7 0

3 years ago

4x – 8x + 2 = -4(x + 3)

aliya0001 [1]

Answer:

No solution

Step-by-step explanation:

4x – 8x + 2 = -4(x + 3)

4x – 8x + 2 = -4x - 12

-4x + 2 = -4x - 12

-4x + 4x + 2 = -4x + 4x - 12

2 = -12

No solution

6 0

3 years ago

Struggling, can anyone help me out on these three functions? It would be much appreciated. Thanks so much!! :)

Maurinko [17]

Answer:

1. a) Not function

b) Domain is all real numbers greater than or equal 2 (x ≥ 2)

c) The range all real numbers ( -∞ < y < ∞)

2. a) Function

b) The domain is all real numbers (-∞ < x < ∞)

c) The range is all real number greater than or equal -4 (y ≥ -4)

3. a) Not function

b) domain is {-3 , -2 , -1 , 0 , 1 , 3}

c) The range is {-2 , -1 , 1 , 2 , 3 , 5}

Step-by-step explanation:

1. Not a function because some x has more than one corresponding y

Note: If we draw vertical line and move it left and right over the curve it will cut the cure in more than one point that means one x has more than one y

2. Function because every x has one corresponding y

3. Not function because some x have more than one corresponding y like

(-3 , -2) (-3 , 2) and (3 , -1) (3 , 2)

8 0

4 years ago

Point A has coordinates (3, 4). After a translation 4 units left, a reflection across the x-axis, and a translation 2 units down

adelina 88 [10]

(-1, 2)

So the original point is (3, 4), when you move to the left or right, it changes the x value. When moving it to the right, you add the amount. When moving to the left, you subtract the amount

So after translating the point 4 units to the left, it should be (-1, 4).

Now, you have to move down. When moving up and down, you add or subtract to the y value. When moving up, you add to the amount. When moving down, you subtract the amount.

After subtracting 2, you should be at (-1, 2)

4 0

3 years ago