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andrezito [222]
2 years ago
7

(03.04) For the function f(x) = (x − 2)2 + 4, identify the vertex, domain, and range.

Mathematics
1 answer:
aleksklad [387]2 years ago
8 0
Vertex: (2,4)
domain: all real numbers
range: y is greater than or equal to 4
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Where on a number line are the numbers x for which <br><br>|x|&gt;1
Andrews [41]

Answer:

Step-by-step explanation:

Given the inequality

|x|> 1

The modulus of x shows that x can be both positive and negative value.

If x is positive:

x>1

1<x

If x is negative:

-x>1

Multiplying both sides of the inequality by minus will change the inequality sign

x < -1

Combining both inequalities:

1<x<-1

Find the position on the number line in the attachment

6 0
3 years ago
If a rectangle has a base of 6 units, and a height of 8 units, what is its area?
Morgarella [4.7K]

Answer:

a=48 units^2

Step-by-step explanation:

The area of a rectangle can be found using:

a=bh

We know the base is 6, and the height is 8, so we can substitute them in

a=6*8

a=48

Area uses units squared, so,

a=48 units^2

4 0
3 years ago
Read 2 more answers
Scott took out a 4-year car loan for $5,500. He paid back a total of $7,370. What interest rate did he pay for this loan?
elena-14-01-66 [18.8K]
Amount of car loan taken by Scott = $5500
Amount of loan paid back by Scott = $7370
Then
Amount of money paid as interest by Scott = (7370 - 5500) dollars
                                                                     = 1870 dollars
Then
Percentage of interest given for the car loan = (1870/5500) * 100
                                                                       = 1870/55
                                                                       = 34 percent
So Scott had to pay a total interest rate of 34% in the four years.I hope the procedure is simple enough for you to understand and solve future problems.
7 0
3 years ago
4(-4x - 3) &gt; 36 with the steps
Sergeu [11.5K]

Answer:

x < -3

Step-by-step explanation:

Divide both sides by 4. Since 4 is positive, the inequality direction remains the same.

−4x−3> 36/4

​Divide 36 by 4 to get 9.

−4x−3>9

Add 3 to both sides.

−4x>9+3

Add 9 and 3 to get 12.

−4x>12

Divide both sides by −4. Since −4 is negative, the inequality direction is changed.

x< 12/-4

​ Divide 12 by −4 to get −3.

x < -3

5 0
2 years ago
Read 2 more answers
Sarah hiked a path that took her from 34 feet below sea level to 52 feet above sea level . What was the change in her elevation?
Ugo [173]

Answer:

86 ft

Step-by-step explanation:

<em>First method: Logical thinking</em>

Think of the position 34 ft below sea level as -34.

The position above sea level is 52.

You need to find the distance between -34 and 52.

You go from 34 ft below sea level, -34 to 0. That is 34 ft.

Then you go from sea level, 0 ft, to 52 ft above sea level. That is 52 ft.

The total is 34 ft + 52 ft = 86 ft

Answer: 86 ft

<em>Second method: Calculate a distance in math</em>

The distance between two points on a number line is the absolute value of the difference of their coordinates. The coordinates are -34 and 52. Subtract the numbers in either order, and take the absolute value of the difference.

|-34 - 52| = |-86| = 86

If you did it in the other order, you'd get the same answer.

|52 - (-34)| = |52 + 34| = |86| = 86

Answer: 86 ft

4 0
2 years ago
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