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tiny-mole [99]
2 years ago
8

Match each LCD with the correct pair of rational expressions. LCD = 2(3)(5)(7)(x)(x)

Mathematics
1 answer:
Salsk061 [2.6K]2 years ago
6 0

Answer:

LCD = 2(3)(5)(7)(x)(x) is A

LCD = (x - 3)(x + 1) is D

LCD = (x + 2)(x - 3) is C

LCD = 2(3)(5)(7)(x) is B

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Three U.F.O.'s were constructed in consecutive years. Their ages have a sum of
Dahasolnce [82]

Answer: 41, 42, and 43 years old.

Step-by-step explanation:

41 plus 42 plus 43 = 126.

7 0
3 years ago
(Please Answer Quickly)
iren2701 [21]
For an airplane we need to create a function. The airplane flies in straight line so this means that we will have linear function. The airplane starts left of the rainbow. So let's take the following function:
y=x+8

"<span>Create a table of at least four values for the function that includes two points of intersection between the airplane and the rainbow."
To find the intersection points we need to solve system of two equations:
</span>y=- x^{2} +36 \\ y=x+36
Solution are two points:
(-1,35) and (0,36)
Now we can create a table
x        -1    0     1    2
f(x)    35    36   37  38    
<span>

"</span><span>What is the domain and range of the rainbow? Explain what the domain and range represent. Do all of the values make sense in this situation? Why or why not?"

The domain represents all possible values that x can have. The range represents all possible values that y can have.
In this example not all values make sense. Rainbow goes above ground and touches it.
Limitations exist if we have fraction, root, logarithm, trigonometric function... We do not have any of these so there are no limitations, so x can have any value.
Domain:  -6</span>≤x≤6   because x can not have smaller values than those at ground touch.
The formula for parabola is:
y=a x^{2} +b
Depending on sign of x^{2} the maximum or minimum value of y is equal to b. All other smaller or greater values are possible.
Range: 0≤y≤36     because y can not have smaller values than those at ground touch.

"<span>What are the x- and y-intercepts of the rainbow? Explain what each intercept represents."
x- and y- intercepts represent points at which function touches x- and y- axis.
To find y- intercept we insert x=0 into equation:
y=0+36
y=36
To find x- intercept we insert y=0
0=-</span>x^{2}+36
x^{2} =36 \\  x_{1} =-6 \\  x_{2} =6

"<span>Is the linear function you created with your table positive or negative? Explain."

Function is positive if it lies above x-axis. Function is negative if it lies below x-axis.
Positive on interval:  x </span>∈ <-6,∞>
Negative on interval: x ∈ <-∞,-6>
Not defined: x= -6


"What are the solutions or solution to the system of equations created?Explain what it or they represent."

We already found these solutions:
y=- x^{2} +36 \\ y=x+36
Solution are two points:
(-1,35) and (0,36)
These solutions represent points of intersection of linear function and parabola.

"Explain, using complete sentences, the steps for graphing the function."

Step 1) we need to find domain and range
Step 2) we need to find x- and y- intercepts
Step 3) if the function is exponential we find minima and maxima
Step 4) we find at least three values for the function

8 0
3 years ago
Please help me please
tankabanditka [31]

Answer:

2,8

3,6

3,8

4,4

4,6

4,8

37.5% or 6/16

4 0
2 years ago
What is the measure of Arc ED in circle H? 98 POINTS!!
svlad2 [7]

Answer:

90°

Step-by-step explanation:

EG is a straight line

EG = EHD + DHG

DHG is a 90 degree angle

180 = EHD +90

Subtract 90 from each side

180-90= EHD +90-90

90 = EHD

The arc has the same measure as the angle since it is from the center

arc ED = 90

3 0
3 years ago
Read 2 more answers
Nathan is going to invest in an account paying an interest rate of 4.9% compounded continuously. How much would Nathan need to i
Naily [24]

Answer:

731.48

Step-by-step explanation:

you take 6 percent form 100 percent with give 94 percent

then you times 1200 by 94 percent 8 times to get answer

6 1
2 years ago
Read 2 more answers
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