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Stella [2.4K]
2 years ago
12

Answer the parts below.

Mathematics
1 answer:
dybincka [34]2 years ago
7 0

Answer:

Step-by-step explanation:

5x + 2: 2nd box

2 + 5x: 2nd box

Yes, 5x + 2 and 2 + 5x are equivalent.

Hope this helps!

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What is the sum of complex numbers 2+3i and 4+8i, where i= square root -1
bearhunter [10]

Answer:

6+11i

Step-by-step explanation:

2+3i  +  4+8i

Add the real parts

2+4 = 6

And the imaginary parts

3i+8i = 11i

The complex number is the real plus the imaginary

6+11i

3 0
3 years ago
What effect does replacing x with x + 2 have on the graph for the function f(x) ?
IrinaK [193]
The answer is A.

When replacing the variable 'x' by 'x + 2' the graph is shifted 2 units to the left. When we replace the variable, the function changes

from
f(x) = |x - 3| + 2

To
f(x) = |(x + 2) - 3| + 2
f(x) = |x - 1| + 2

And therefore the function is shifted 2 to the left.
3 0
3 years ago
Find the slope<br> It can be a proper fraction improper fraction or an integer
Vesna [10]

Answer:

The slope would be 2.5

Step-by-step explanation:

Rise over run, pick 2 points 50/20= 2.5

8 0
3 years ago
There are ​$528 available to fence in a rectangular garden. The fencing for the side of the garden facing the road costs ​$9 per
andrew-mc [135]

Answer:

  22 ft by 44 ft, with 22 ft parallel to the road

Step-by-step explanation:

Problems in optimizing rectangular area for a given perimeter or perimeter cost all have a similar solution: the length (or cost) of one pair of opposite sides is equal to that of the other pair of opposite sides.

Here, that means that the sides perpendicular to the road will have a total cost of $528/2 = $264, so will have a total length of $264/($3/ft) = 88 ft. Since it is a rectangle, the dimension perpendicular to the road is 44 ft.

Likewise, the sides parallel to the road will have a total cost of $264. If x is the length in that direction, this means ...

  9x +3x = 264

  12x = 264

  264/12 = x = 22

The length of the garden parallel to the road is 22 ft.

_____

If you solve this directly, you get the same result. Let x be the distance parallel to the road. Then the cost of fence for the two sides parallel to the road is (3x +9x) = 12x.

The length of fence perpendicular to the road will use the remaining cost, so that length will be (528 -12x)/(2·3). (Half of the remaining fence is used on each of the two parallel sides.) This expression for length simplifies to (88-2x).

Then the area of the garden will be the product of its length and width:

  area = x(88 -2x)

This is the equation for a downward-opening parabola with zeros at x=0 and x=44. The vertex is located halfway between those zeros, at x = 22.

The dimensions of the largest garden are 22 ft parallel to the road and 44 ft perpendicular to the road.

8 0
3 years ago
Taxi charges $0.20 per mile and initial fee of $4. Taxi B charges $0.40 per mile and an initial fee of $2. Write an inequality t
Leni [432]
Answer :
0.20x + 4 < 0.40x + 2
3 0
3 years ago
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