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Airida [17]
4 years ago
11

Solve for |2x + 4|-1=7

Mathematics
1 answer:
Rudik [331]4 years ago
6 0

Answer:

x = - 6 or x = 2

Step-by-step explanation:

The absolute value function always returns a positive value. However, the expression inside can be positive or negative.

Given

| 2x + 4 | - 1 = 7 ( add 1 to both sides )

| 2x + 4 | = 8, thus

2x + 4 = 8 ( subtract 4 from both sides )

2x = 4 ( divide both sides by 2 )

x = 2

OR

-(2x + 4) = 8

- 2x - 4 = 8 ( add 4 to both sides )

- 2x = 12 ( divide both sides by - 2 )

x = - 6

As a check

Substitute these values into the left side of the equation and if equal to the right side then they are the solutions.

x = 2 → | 4 + 4 | - 1 = | 8 | - 1 = 8 - 1 = 7 ← True

x = - 6 → | - 12 + 4 | - 1 = | - 8 | - 1 = 8 - 1 = 7 ← True

Hence the solutions are x = - 6 or x = 2

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Please HELPP!! I’ll give brainiest for #2
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Answer: 480

Step-by-step explanation:

you take 240 and add it to itself and that is how you get you correct answer

3 0
3 years ago
Sum of 2 numbers is 150. The ratio is 3:2. What are the numbers
Gekata [30.6K]
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5 0
4 years ago
What is the vertex of y=(x-2)-7
Zina [86]

Answer:

The vertex of this equation is (2, -7)

Step-by-step explanation:

In order to find the vertex of this equation we start with the base form of the vertex form.

y = a(x - h) + k

With this equation (h, k) is the vertex. You can see that 2 lines up with h and -7 lines up with k. This shows that (2, -7) is the vertex.

7 0
4 years ago
Almonds cost $5 per pound. Cashews cost $2 per pound. Matt purchased
Mnenie [13.5K]

Answer:

B 10 pounds

Step-by-step explanation:

Start with what you know.  You know that almost 5 dollars per pound. and that cashews cost 2 dollars per pound. If there are 10 pounds of cashews, that is 20 dollars worth of cashews.  then if you use your head you will figure out that there are 10 pounds.

7 0
3 years ago
Help !!!! due today!!! #5 and #6
Nitella [24]
Your #5 solution is already correct.
A linear function has the form y=mx+b
you have noticed that y increases by 5 for every 10 steps along x. Therefore, your slope m is 5/10=1/2.
b is your y value at x=0
so y=(1/2)x+5

Additionally, you can calculate it with 2 points
using (10, 10) and (20, 15) and the elimination method just inserting x and y into the basic form
I:10=10m+b
II:15=20m+b
subtraction of II from I:
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-1=-2m
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insert this in I again:
10=10*(1/2)+b
10=5+b
5=b
again y=(1/2)x+5
4 0
3 years ago
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