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adell [148]
3 years ago
15

Use the quadratic function to predict f(x) if x equals 2. f(x) = -3x^2 + 180x - 285

Mathematics
1 answer:
elixir [45]3 years ago
6 0

Answer:

When x = 2, f(x) = 63.

Step-by-step explanation:

In order to find the value of f(x), you have to substitute x = 2 into the function :

f(x) =  - 3 {x}^{2}  + 180x - 285

f(2) =  - 3{(2)}^{2}  + 180(2) - 285

f(2) =   - 12 +  360 - 285

f(2) = 63

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If p q r is prime numbers such that pq+r=73, what is the least possible value of p+q+r
Jobisdone [24]
The answer to this question would be: p+q+r = 2 + 17 + 39= 58

In this question, p q r is a prime number. Most of the prime number is an odd number. If p q r all odd number, it wouldn't be possible to get 73 since
odd x odd + odd= odd + odd = even
Since 73 is an odd number, it is clear that one of the p q r needs to be an even number. 

There is only one odd prime number which is 2. If you put 2 in the r the result would be:
pq+2= 73
pq= 71
There will be no solution for pq since 71 is prime number. That mean 2 must be either p or q. Let say that 2 is p, then the equation would be: 2q + r= 73

The least possible value of p+q+r would be achieved by founding the highest q since its coefficient is 2 times r. Maximum q would be 73/2= 36.5 so you can try backward from that. Since q= 31, q=29, q=23 and q=19 wouldn't result in a prime number r, the least result would be q=17
r= 73-2q
r= 73- 2(17)
r= 73-34=39

p+q+r = 2 + 17 + 39= 58
6 0
3 years ago
Read 2 more answers
May someone please help me with this :)
AlladinOne [14]
Answer: 16 pi or ≈50.27

Explanation: Formula for a cylinder:
V = pi r ^2 h
V = pi (2)^2 4
V = 4 pi (4)
V = 16pi
8 0
2 years ago
The following table shows a portion of a four-year amortization schedule. A 4-year amortization schedule. The loan amount or pri
yKpoI14uk [10]

Answer:

  • Option c. $ 9,543.97

Explanation:

The row for month 25 shows that after <em>twenty-five payments</em> <u>the balance of the loan is  $10,356.03</u>

You are told that the<em> loan amount or principal is $ 19,900</em>.

From those two data, you can calculate <em>how much of the principal has been paid off after </em>25 months, because the amount paid off is equal to the loan less the balance after 25 payments:

  • Principal paid off = $ 19,900 - $ 10,356.03 = $9,543.97
8 0
3 years ago
Which expression can you substitute
valina [46]

Answer:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:(30/19,2/19)

Equation Form: x=30/19, y=2/19

7 0
2 years ago
The two right scalene triangles shown are similar , but not congruent. Which statement about the triangles is not true
garri49 [273]

Answer: <CDB corresponds to <ECD

Step-by-step explanation:

The angles in similar triangles correspond to each other.

For two angles in similar triangles to correspond to each other, then they have to be in the same position in the triangle. (EX: a 90 degree angle corresponds to another 90 degree angle or an angle across from the shortest side corresponds to another angle in the other triangle across from the shortest side)

In this case, <CDB is to the right of the 90 degree angle, so the angle it will correspond to is the angle in the other triangle which is opposite to the 90 degree angle, which is <CED.

<CED is not <ECD, so that answer is wrong.

Tell me if I need to clarify anything - this topic is kind of hard to explain :/

3 0
3 years ago
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