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Colt1911 [192]
2 years ago
5

Explain how you know if an equation has one solution, infinitely many solutions, or no solution

Mathematics
1 answer:
lubasha [3.4K]2 years ago
8 0
No solution would mean that there is no answer to the equation. It is impossible for the equation to be true no matter what value we assign to the variable. Infinite solutions would mean that any value for the variable would make the equation true. :)
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Is 1.5 over 7.5 a rational number
Tomtit [17]
Yes, because you can simplify it to .2 which can be written as a fraction. Irrational numbers are those ones that keep going with an infinite string of numbers past the decimal. 
5 0
3 years ago
A soundproofing tile is made of 8 identical solid right pyramids with square bases. The length of the whole tile shown is x inch
mylen [45]

Answer:

Option B ⇒ Area of base of each pyramid :

(\frac{x}{4})^2 in^2

Option A ⇒ Volume of pyramid :

\frac{1}{3} x^{2} \cdot y   cm3

Step-by-step explanation:

One side of tile consists of 4 pyramids and since length of whole tile is x,

So, the base length of each pyramid = \frac{x}{4}

⇒ Area of base of each pyramid = side²

⇒ Area =

(\frac{x}{4})^2 in^2

Volume of square based pyramid :

=(Area of base )\cdot \frac{h}{3}\\=\frac{x^2}{3} cm^3

For 1. The correct Option is B

For 2. The correct option is A

7 0
3 years ago
Read 2 more answers
Each problem below gives the endpoints of a segment. Find the coordinates of the midpoints of each segment. A.(5, 2) and (11, 14
kvv77 [185]

The midpoints are (8,3) and (6.5,6).

<u>Step-by-step explanation</u>:

Midpoint formula = ((x1+x2)/2 , (y1+y2)/2)

(x1,y1) = (5,2)

(x2,y2) = (11,4)

Midpoint = ((5+11)/2 , (2+4)/2)

⇒ ((16/2) , (6/2))

⇒ (8,3)

(x1,y1) = (3,8)

(x2,y2) = (10,4)

Midpoint = ((3+10)/2 , (8+4)/2)

⇒ ((13/2) , (12/2))

⇒ (6.5,6)

8 0
3 years ago
If “x” represents the full price of an item, write an expression to represent the final cost of an item that is 20% off.
zloy xaker [14]
The expression is x -20%
3 0
3 years ago
If logb 5=0.41, find logb 12
Hitman42 [59]
<span>Determine which one of the following is the correct application of the change of base formula?

a)log3 14= log10 14/3
b)lo4 17= log10 4/ log10 17
c)log8 3= log10 3/log10 8
d)log9 32 = log10 32-log10 9

The change of base formula is as follows:
                                         log to the base 10 of x
log to the base b of x  = ----------------------------------
                                          log to the base 10 of b

Compare this to answer choice C:

</span><span>c)log8 3= log10 3/log10 8      Here x = 3 and b = 8.  This is the only correct choice.</span><span>

</span>
6 0
3 years ago
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