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2 years ago

What is the range of the function shown in this table? х 3 4 5 6 y 4 4 2 5

Mathematics

1 answer:

Alekssandra [29.7K]2 years ago

6 0

Answer:

2,4,5

Step-by-step explanation:

Do not repeat numbers, u need to put them in order from least to greatest, and range is for the y

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Solve the equation 3x-2 4 - 2x - 5- 1 + x 3 6

Nataly_w [17]

Answer:

$\boxed{\sf x=12}$

Step-by-step explanation:

$\sf \cfrac{3x-2}{4}-\cfrac{2x-5}{3}=\cfrac{1+x}{6}$

First, let's find the LCM of 4, 3, and 6.

How to find the LCM:

→ List multiples of each number.

→ Find the smallest number on each list.

4: 4, 8, 12, 16, 20, 24..

3: 3, 6, 9, 12, 15, 18, 21, 24, 27....

6: 6, 12, 18, 24, 30, 36, 42...

LCM: 12

_________

Now, we'll Multiply by LCM:

$\sf \cfrac{3x-2}{4}\times \:12-\cfrac{2x-5}{3}\times \:12=\cfrac{1+x}{6}\times \:12$

Simplify:

$\sf 3\left(3x-2\right)-4\left(2x-5\right)=2\left(x+1\right)$

Now, expand, Apply the Distributive property:

$\bold{ 3\left(3x-2\right)-4\left(2x-5\right)}$

$\sf 9x-6-8x+20$

Combine like terms:

$\sf x+14$

________

$\bold{ 2\left(x+1\right)}$

$\sf 2x+2$

$\sf x+14=2x+2$

Subtract 14 from both sides:

$\sf x+14-14=2x+2-14$

Simplify:

$\sf x=2x-12$

Subtract 2x from both sides:

$\sf x-2x=2x-12-2x$

Simplify:

$\sf -x=-12$

Divide both sides by -1:

$\sf \cfrac{-x}{-1}=\cfrac{-12}{-1}$

$\sf x=12$

7 0

2 years ago

Terry and Bob each have an aquarium. Terry’s aquarium is 14 cm long, 12 cm high, and 10 cm wide. Bob’s aquarium is 13 cm long, 1

MArishka [77]

Find the volume of each tank by multiplying the length by the width by the height:

Terry: 14 x 12 x 10 = 1680 cubic cm.

Bob: 13 x 15 x 8 = 1560 cubic cm

Terry’s aquarium is larger and can hold more water.

8 0

3 years ago

Write -8 in simplest radical form.

Nadya [2.5K]

2.8 or if rounded to the nearest tenth so 2.8√8

4 0

2 years ago

Write the verbal sentence as an equation or an inequality: Four is greater than six times a number t. really need help can't rea

maw [93]

4 > 6*t

Number t refers to an unknown. In this case, t can only be 0, because 6*0 = 0, and 4 > 0 or four is greater than 0.

5 0

3 years ago

A group of 83 students are visiting the National Aquarium in Baltimore. Volunteers lead tours for groups no larger than 5 studen

Fiesta28 [93]

Answer:

17 tour guides

Step-by-step explanation:

First, we need to divide 83 by 5.

83 ÷ 5 = 16 R 3

As you can see, there are 16 tour guides that can handle 5 students each. However, there are a remainder of 3 students, so we need one extra tour guide. Thus, the answer is 17 tour guides.

8 0

2 years ago

Read 2 more answers