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mr Goodwill [35]
3 years ago
10

Which expression represents the area of the garden in square feet?

Mathematics
1 answer:
Kisachek [45]3 years ago
8 0

Answer:

C. 42x² - 3x - 9

Step-by-step explanation:

Area:

(7x + 3) (6x - 3)

7x(6x - 3) + 3(6x - 3)

42x² - 21x + 18x - 9

42x² - 3x - 9

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A clockwise rotation of 90 degrees is equivalent to a counter clockwise rotation of how many degrees?
WARRIOR [948]
Equivalent to 180 degrees. 90 degrees clockwise +90 degrees
5 0
3 years ago
Read 2 more answers
2p – 194.99 = 284.97
DiKsa [7]
If solving for p, it is 239.98 bc when 284.97+194.99, 2p=479.96
7 0
3 years ago
F(x) = 15,000(.84) shows the value of a car each year. Describe the following:
makvit [3.9K]

Answers:

  • a) 15000 represents the starting amount
  • b) The decay rate is 16%, which means the car loses 16% of its value each year.
  • c) x is the number of years
  • d) f(x) is the value of the car after x years have gone by

========================================================

Explanation:

We have the function f(x) = 15000(0.84)^x. If we plug in x = 0, then we get,

f(x) = 15000(0.84)^x

f(0) = 15000(0.84)^0

f(0) = 15000(1)

f(0) = 15000

In the third step, I used the idea that any nonzero value to the power of 0 is always 1. The rule is x^0 = 1 for any nonzero x.

So that's how we get the initial value of the car. The car started off at $15,000.

-------------

The growth or decay rate depends entirely on the base of the exponential, which is 0.84; compare it to 1+r and we see that 1+r = 0.84 solves to r = -0.16 which converts to -16%. The negative indicates the value is going down each year. So we have 16% decay or the value is going down 16% per year.

------------

The value of x is the number of years. In the first section, x = 0 represented year 0 or the starting year. If x = 1, then one full year has passed by. For x = 2, we have two full years pass by, and so on.

------------

The value of f(x) is the value of the car after x years have gone by. We found that f(x) = 15000 when x = 0. In other words, at the start the car is worth $15,000. Plugging in other x values leads to other f(x) values. For example, if x = 2, then you should find that f(x) = 10584. This means the car is worth $10,584 after two years.

7 0
3 years ago
A large university accepts ​60% of the students who apply. Of the students the university​ accepts, 50​% actually enroll. If 10,
prisoha [69]

we need to find 1% of 10000 first

so we divide 10000:100= 100 (that's 1%)

to find the 60% which will be accepted we multiply 100 × 60 = 6000 students accepted

of those 6000 we need to find 50% which is ½ so we basically just divide by 2, aka 6000 : 2 = 3000 people which will be enrolled

3 0
3 years ago
A town has a population of 1,000 people. The population triples every 100 years. Which equation and graph show the number of yea
photoshop1234 [79]
I believe you have to add the 1,000 and 100
3 0
3 years ago
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