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spin [16.1K]
3 years ago
8

Create an expression equivalent to 2(3X - 1) - 3X +4 using the least number of terms. (1 point) * PLEASE EXPLAIN*

Mathematics
1 answer:
Zigmanuir [339]3 years ago
5 0

Well first, let's just see how we can simplify the expression we are given. After all, we are trying to find a simple expression equal to this one.

2(3x - 1) - 3x + 4

  • Set up

6x - 2 - 3x + 4

  • Apply the Distributive Property

3x + 2

  • Combine like terms

In this case, we can see that we have simplified our expression down to 3x + 2.


It is fair to say that there are no simpler expressions, simply due to the fact that we must have a term with an x, along with a constant.

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Y varies inversely with x. If y = -8 when x = -7, find the y when x=-4.
lora16 [44]

Answer:

y =-14

Step-by-step explanation:

Inverse variation is of the form

xy = k where k is a constant

(-7)(-8) = k

56 = k

The equation is

xy = 56

Let x = -4

(-4)y = 56

y = 56/-4

y =-14

8 0
3 years ago
Three more than eight times a number is equal to 19
djverab [1.8K]
19-3=16
16/8=2
2x8+3=19
The answer is 2.
8 0
3 years ago
Read 2 more answers
Express f(x) = |x-2| +|x+2| in the non-modulus form. Hence, sketch the graph of f.
alexgriva [62]
Recall that

|x|=\begin{cases}x&\text{if }x\ge0\\-x&\text{if }x

There are three cases to consider:

(1) When x+2, we have |x+2|=-(x+2) and |x-2|=-(x-2), so

|x-2|+|x+2|=-(x-2)-(x+2)=-2x-4

(2) When x+2\ge0 and x-2, we get |x+2|=x+2 and |x-2|=-(x-2), so

|x-2|+|x+2|=-(x-2)+(x+2)=4

(3) When x-2\ge0, we have |x+2|=x+2 and |x-2|=x-2, so

|x-2|+|x+2|=(x-2)+(x+2)=2x

So

|x-2|+|x+2|=\begin{cases}-2x-4&\text{if }x
4 0
3 years ago
A water tower casts a shadow that is 24 foot long. A 9.5 foot tall tree casts a shadow that is 8 foot long. What is the height o
sveticcg [70]

Answer:

28.5 feet

Step-by-step explanation:

A water tower casts a shadow that is 24 foot long. A 9.5 foot tall tree casts a shadow that is 8 foot long. What is the height of the water tower?

The formula is given as:

Height of the tower/Shadow of the tower = Height of the tree/Shadow of the tree

Let the Height of the tower = x

Hence:

x/24 = 9.5/8

Cross Multiply

8x = 24 × 9.5

x = 24 × 9.5/8

x = 28.5 feet

Therefore, the height of the water tower is 28.5 feet

6 0
3 years ago
Which is the better unit to measure the capacity of a bathtub millilter or liters?
Stells [14]
Liters because mililiters are too small to measure gallons of water
3 0
3 years ago
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