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Xelga [282]
2 years ago
5

for each x-y table given,copy the table, find the pattern and fill in the missing entries. Then write the rule for the pattern i

n words.​

Mathematics
1 answer:
mash [69]2 years ago
8 0

Answer:

  see the attached for the table and rules

Step-by-step explanation:

a) A graph of the given points shows they lie on the same line, one with a slope of 3 and a y-intercept of 2. Thus the rule is ...

  y = 3x +2

see the attachment for table values

__

b) The ratios of given points are all the same: y/x = 5/2, so that is the constant of proportionality:

  y = (5/2)x

see the attachment for table values

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Let f (x)= x + 18 − 3 x − 15 Choose the correct interval form for the DOMAIN of f and then enter the values for the endpoint(s)
natulia [17]

Answer:

The domain of f(x) corresponds to the set of real numbers.

D f(x) ∈ ∀X; D f(x) ∈ R

Step-by-step explanation:

f(x)=X+18-3X-15

f(x)=-2X+3 (right line with negative slope)

This function exists for all values of X, so the domain corresponds to the set of real numbers.

D f(x) ∈ ∀X; D f(x) ∈ R

3 0
2 years ago
Solve the equation y′ + 3y = t + e^(−2t).
Leni [432]
Hello,

I am going to remember:

y'+3y=0==>y=C*e^(-3t)

y'=C'*e^(-3t)-3C*e^(-3t)

y'+3y=C'*e^(-3t)-3Ce^(-3t)+3C*e^(-3t)=C'*e^(-3t) = t+e^(-2t)
==>C'=(t+e^(-2t))/e^(-3t)=t*e^(3t)+e^t
==>C=e^t+t*e^(3t) /3-e^(3t)/9

==>y= (e^t+t*e^(3t)/3-e^(3t)/9)*e^(-3t)+D
==>y=e^(-2t)+t/3-1/9+D
==>y=e^(-2t)+t/3+k


4 0
2 years ago
Help!
Leona [35]

Step-by-step explanation:

first minute = 24 wildebeest

by 20 min = (20 × 3) + 24 = 84 wildebeest

3 0
2 years ago
Rita is planting saplings along her garden fence. When she started, she had x packages of saplings with 5 saplings per package.
weqwewe [10]

Answer:

If we represent x (number of packages of saplings) on a number line graph, it will start on number 4 (number of packages Rita still has) then moves to the right to number 7, that is the number of packages when Rita started to plant.

Step-by-step explanation:

7 0
1 year ago
Read 2 more answers
The pizza has an area of 78.5 in². What is the minimum width of a placemat that can be placed underneath it so that the pizza do
xz_007 [3.2K]

Answer:

The minimum width of the placemat is 10 inches.

Step-by-step explanation:

Let suppose that placemat has a square form, whose width must be at least equal to the diameter of the pizza, so that pizza does not touch the table. Hence, the following relationship is obtained:

w = D

Where:

w - Width of the placemat, measured in inches.

D - Diameter of pizza, measured in inches.

The area of the pizza, measured in square inches, is determined by this formula:

A = \frac{\pi}{4} \cdot D^{2}

The diameter is cleared afterwards:

D = \sqrt{\frac{4\cdot A}{\pi} }

If A = 78.5\,in^{2} and \pi = 3.14, then:

D = \sqrt{\frac{4\cdot (78.5\,in^{2})}{3.14} }

D = 10\,in

The minimum width of the placemat is 10 inches.

4 0
2 years ago
Read 2 more answers
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