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Keith_Richards [23]
2 years ago
13

Please Help The scientists believe the forest will be seriously damaged when 21 or more of the forests 200 oak trees are infecte

d by oat wilt.According to their model how many years will it take for 21 of the trees to become infected? Type the correct answer in the box use numerals instead of words. Round your answer to the nearest tenth.

Mathematics
1 answer:
denis23 [38]2 years ago
3 0

Answer:

7.6 should be the answer.

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Arrange the parabolas represented by the equations in increasing order with respect to the y-values of their directrixes.
Alexus [3.1K]
(x-h)^2=4P(y-k), vertex is (h,k)
P is distance from vertex to directix
remember to subtract P from the y value of the vertex (p-k) and that y value is the directix, y=p-k

nut
ok so one way is to just graph them on a graphing utility
remember if the graph opens up, then the directix is below that
or we can convert to 4P(y-k)=(x-h)^2 form where P is distance from directix

I will only convert the 1st one fully, you should be able to do the rest

1. y=-x^2+3x+8
multiply both sides by -1 since we don't like the x^2 term negative
-y=x^2-3x-8
add8 to both sides
-y+8=x^2-3x
take 1/2 of linear coeficient and square it and add to both sides
-3/2=-1.5
 (-1.5)^2=2.25
-y+10.25=x^2-3x+2.25
factor perfect square
-y+10.25=(x-1.5)^2
force undistribute -1 in left side
(-1)(y-10.25)=something, we don't care anymore for now
factor out a 4 in -1
4(-1/4)(y-10.25)

k=10.25
p=-1/4=-0.25
directix=k-p=10.25-(-0.25)=10.5
directix is y=10.5

basically completee the square with x and find P by force factoring a 4 out

2.  directix: y=-1.75

3. directix: y=1.5

4. directix: y=17.25

5. d: -37.5

6. d: 9.25

7. d=2.625

order them yourself

7 0
2 years ago
What is the unit rate in feet per second for 240 yards/ 1 hour
Rzqust [24]
Take 60 minutes and times that by 60 to find your seconds. (s)
Next, take 240 times 3 to find your feet. (f)
Then, take your feet divided by seconds. (T)

f/s =T
6 0
3 years ago
Use synthetic division to solve (2x^34x^2-35x15)/(x-3). What is the quotient?
victus00 [196]
Answer: quotient is 2x^2 + 10x - 5

Solution:

The first polynomial is miswritten.

The right one is: 2x^3 + 4x^2 - 35x + 15.

So, the division is [2x^3 + 4x^2 - 35x + 15] / (x - 3)

The synthetic division uses the coeffcients and obviate the letters, but you have to be sure to respect the place of the coefficient.

So, in this case it is:

3 | 2      4    -35    15
   ---------------------------------
    2     10     - 5      0

So, the quotient is 2x^2 + 10x - 5, and the remainder is 0.

I like to show it in this other way:


   | 2     4     -35     15
   |
   |
3 |       +6    +30     -15
--------------------------------  
    2     10    - 5         0

Of course they are the same coefficients and the answer continue being quotien 2x^2 + 10x - 5, remainder 0.
4 0
3 years ago
What is the length of the hypotenuse? If necessary, round to the nearest tenth.
azamat

By the Pythagorean theorem,

a^{2}+12^{2}=13^{2}\\\\a^{2}+144=169\\\\a^{2}=25\\ \\ a=\boxed{5}

4 0
2 years ago
Mentally solve 18 × 25
koban [17]

Answer:

450

Step-by-step explanation:

Step 1:

18 × 25 = 450

Answer:

450

Hope This Helps :)

3 0
3 years ago
Read 2 more answers
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