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Alexxx [7]
3 years ago
11

Determine (without solving the problem) an interval in which the solution of the given initial value problem is certain to exist

. (enter your answer using interval notation.) t(t − 9)y' + y = 0, y(1) = 1
Mathematics
1 answer:
Olin [163]3 years ago
8 0

If either t=0 or t=9, the ODE has the trivial solution y=0, but y(1)=1\neq0. So any solution to the ODE that satisfies the initial condition can only exist on the interval 0.

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What is 8(c-9)=6(2c-12)-4c? Solve for c. Please show your work.
Dafna11 [192]

Answer:

c= ℝ

Step-by-step explanation:

8(c-9)=6(2c-12)-4c

Distribute left side.

8*c+8*-9=6(2c-12)-4c

8c-72=6(2c-12)-4c

Distribte right side.

8c-72=6*2c+6*-12-4c

8c-72=12c-72-4c

Combine like terms.

8c-72=8c-72

Since the two sides are exactly the same, this means that any number for c will satisfy the equation.

Therefore, c= ℝ (all real numbers)

4 0
2 years ago
A parabola is graphed such that the axis of symmetry is x = 3. One of the x-intercepts is (5, 0). What is the other x-intercept?
Stells [14]

The axis of symmetry is the fold line that splits the parabola down the middle.

Now, since a parabola is symmetrical, every point, except the vertex, will have a mirror image of another point if we folded the parabola over the axis of symmetry.

So if we know the axis of symmetry is x = 3 and one of our points

has the coordinates (5, 0), the other point will have the coordinates (3, 0).

The axis of symmetry is always halfway between the x-intercepts.

6 0
3 years ago
Your water bill consists of five parts: A base hookup fee of $32.50, a water fee of $0.03 per gallon of water, a sewer fee of $0
Taya2010 [7]

hi

You have to keep calm and to treat data as it come.  

<u>1 ) Start by constant fees :  </u>

hook up fees  is  32.50  and  trash collection fees are 35

so contant fees  :  32.50 +35 =  67.50  

2 )  Now we have to deal with variable fees which depend on how much water is used

water fees :  

0.03 per gallon, and we have  4 000 gallon, so  :  

0.03*4 000 = 120  

Sewer fees  :  

0.01  per gallon, and we have  4 000 gallon, so  :  

0.01  * 4000 = 40  

3 ) Total before taxation we have :  

67.50 +120 +40 =  227.5  

4)  Now we apply tax on the total before tax.

tax is  5 % , which mean you rise the "off tax " price by 5 percent.  

<u>To grow a number of  X % ,  you multiply by  1+  X/ 100 </u>

here  X = 5  so  the multiplicator is  :  1 + 5/100 = 1.05  

<u>So total of the bill is :   227.5 * 1.05 = 238.875  </u>

The water compagny is  probably going to round it up to 238.88

4 0
1 year ago
Two side lengths of a triangle are 17 meters and 12 meter long. What is the range of possible lengths for the third side?
serious [3.7K]
Use a^2+b^2=c^2.
so u might have two answer one if u plug 17 and 12 as your a and b and solve for c
second is when you plug 12 as a and 17 as 17 qnd solve for b.
hope this helped
5 0
3 years ago
3. Naomi has earned $54 mowing lawns
kkurt [141]

Answer:

8

Step-by-step explanation:

3 0
3 years ago
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