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oee [108]
2 years ago
7

|x-1|+2<4 solving for x

Mathematics
1 answer:
Ganezh [65]2 years ago
8 0

Answer:

x < 3 and x > -1

Step-by-step explanation:

Step 1: Subtract 2 from both sides.

  • |x-1| + 2 - 2 < 4 - 2
  • |x-1|

Step 2: Solve absolute value.

  • We know x - 1 < 2 and x - 1 > -2.

Condition 1:

  • x - 1 < 2
  • x - 1 + 1 < 2 + 1 (Add 1 to both sides)
  • x < 3

Condition 2:

  • x - 1 > -2
  • x - 1 + 1 > -2 + 1 (Add 1 to both sides)
  • x>-1

Therefore, the answer is x < 3 and x > -1.

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Write a quadratic equation to represent a function with the vertex (-4, 1)
pishuonlain [190]

Answer:

y=a(x+4)^2 +1, for a real number a hat is different of 0.

Step-by-step explanation:

If we know only the vertex, there are many quandratic equations.

* Result: Vertex (m,n), the quadratic equation is y= a(x-m)^2 + n for a real number a that is different of 0.

Here, the vertex (-4,1), we have the equation: y=a(x+4)^2 +1, for a real number a hat is different of 0.

Hope you understand.

6 0
3 years ago
A frisbee has a diameter of 7.5 inches. What is its area in terms of inches?
Schach [20]
The area is 44.18 , hope this helps
3 0
2 years ago
What is the product of the polynomials below? (6x3 + 3x)(x2 + 4)
shutvik [7]
6x5+24x3+3x3+12x ------> Simplify by adding like terms

6x5 + 27x3 + 12x
5 0
3 years ago
You plant a garden in the shape of a triangle as shown in the figure. What is the perimeter of the garden? Find the values of x
Vadim26 [7]

Answer:

x = 42°

y = 69°

Step-by-step explanation:

From the picture attached,

Given triangle is an isosceles triangle.

Therefore, two sides will be equal and measure 8 yd.

Measure of 3rd side of the triangle = 6 yd

Perimeter of the garden = 8 + 8 + 6

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In an isosceles triangle, opposite angles of the equal sides will be equal.

Therefore, y = 69°

By the property of interior angles of a triangle,

x° + y° + 69° = 180°

x° + 69° + 69° = 180°

x = 180 - 138

x = 42°

7 0
3 years ago
Mr. Dewalt suggested contacting a travel agent to see whether they could get a lower price. The agent found
Liono4ka [1.6K]
Finding a price that is 30% lower than $2075 is the same as finding a price that is 70% of $2075.

That means all we need to do is calculate what is 70% of $2075.

Convert 70% into decimal form which is 0.70.

Next, multiply $2075 by 0.70.

$2075*0.70 = $1452.50

The price the travel agent found was $1452.50

Note: If you don't know how to multiply by decimals you can multiply $2075 by 7 than divide the result by 10 (move the decimal point one place to the left).


7 0
3 years ago
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