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3 years ago

Please solve the equation -4(2z+6)-12=4

Mathematics

1 answer:

VladimirAG [237]3 years ago

7 0

Answer: z= -5

Step by Step:
-4(2z+6)-12=4
-8z-36=4
-8z-4+36
-8z=40
z=-5

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An aircraft has a total time in service of 468 hours. The Airworthiness Directive given was initially complied with at 454 hours

Georgia [21]

Answer:

440 hours

Step-by-step explanation:

In this case the aircraft has completed one cycle of service in the first 454 hours of service. Then making the difference between the hours of service and the hours of the first cycle we have:

Hours of the second cycle= Total time in service- time Airworthiness Directive

=468-454=14

Then we have 14 hours of service and need to accumulate the rest to complete 454. It is

454-14=440

Then we need to accumulate 440 hours additional to complete the Airworthiness Directive .

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3 years ago

PLEASE HELP. WORTH 50 PINTS IF CORRECT. A gate casts a shadow that is 5 feet long. A nearby cactus is 9 feet tall and casts a sh

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Answer:

The height of the cactus is three times the height of the gate

The gate is 3 feet tall

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3 years ago

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Quadrilateral WXYZ is the result of a translation of quadrilateral ABCD . AB¯¯¯¯¯ is parallel to DC¯¯¯¯¯ in the pre-image. Drag

tigry1 [53]

The corresponding segments WX and ZY in the image are parallel.

When a shape is translated from location to another, the size and shape of the figure do not change. Therefore, lines that are corresponding are still parallel.

5 0

3 years ago

Let f(x) be an exponential functionWhich transformations to the graph of f(x) would describe e - f(x - 3) ?

gayaneshka [121]

Look at the graph below carefully

Observe the results of shifting ={2}^{x}f(x)=2x

vertically:

The domain, (−∞,∞) remains unchanged.

When the function is shifted up 3 units to ={2}^{x}+3g(x)=2x +3:

The y-intercept shifts up 3 units to (0,4).

The asymptote shifts up 3 units to y=3y=3.

The range becomes (3,∞).

When the function is shifted down 3 units to ={2}^{x}-3h(x)=2 x −3:

The y-intercept shifts down 3 units to (0,−2).

The asymptote also shifts down 3 units to y=-3y=−3.

The range becomes (−3,∞).

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3 years ago

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Laura created a website to create T-shirts. In the first month she put up her website she had only a single T-shirt order. Each

kiruha [24]

Laura received 144 orders over the first year

Solution:

Given function is:

f(n) = 2n - 1

Where, "n" is the month

In the first month she put up her website she had only a single T-shirt order

f(1) = 2(1) - 1 = 2 - 1

f(1) = 1

There are 12 months in a year

For the second month, and third month and so on, substitute n = 2, 3 and so on

f(2) = 2(2) - 1 = 4 - 1 = 3

f(3) = 2(3) - 1 = 6 - 1 = 5

f(4) = 2(4) - 1 = 8 - 1 = 7

f(5) = 2(5) - 1 = 10 - 1 = 9

f(6) = 2(6) - 1 = 12 - 1 = 11

f(7) = 2(7) - 1 = 14 - 1 = 13

f(8) = 2(8) - 1 = 16 - 1 = 15

f(9) = 2(9) - 1 = 18 - 1 = 17

f(10) = 2(10) - 1 = 20 - 1 = 19

f(11) = 2(11) - 1 = 22 - 1 = 21

f(12) = 2(12) - 1 = 24 - 1 = 23

Thus total orders received over first year:

Total orders = 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 + 21 + 23

Total orders = 144

Thus she received 144 orders over the first year

8 0

3 years ago