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dusya [7]
3 years ago
7

Factor the following difference of perfect squares x^2-81

Mathematics
2 answers:
Margarita [4]3 years ago
7 0

Answer:

(x+9)(X-9)

Step-by-step explanation:

Brrunno [24]3 years ago
5 0

Since both terms are perfect squares, factor using the difference of squares formula,  a ^2 − b^ 2 = ( a + b ) ( a − b )  where  a = x  and  b = 9 . ( x + 9 ) ( x − 9 )

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Mrs. Williams is deciding between two field trips for her class. The Science Center charges $135 plus $3 per student. The Dino D
Marianna [84]
Set it up like a regular equation. I used:
3x+135 \ \textless \  6x

As you can see, however, I inserted the "less than" symbol rather than the equal sign because values greater than a certain value can also equal "x". Solve it like a normal equation and you will arrive at:
<u>
</u>x \ \textgreater \  45

This means that, as long as x is greater than 45, "6x" will be greater than "3x+135". Thus, if you bring 46 students, the Science Center will cost less.
5 0
3 years ago
Consider the continuous random variable x, which has a uniform distribution over the interval from 110 to 150. The probability t
Virty [35]

Answer:

The probability that x will take on a value between 120 and 125 is 0.14145

Step-by-step explanation:

For uniform distribution between a & b

Mean, xbar = (a + b)/2

Standard deviation, σ = √((b-a)²/12)

For 110 and 150,

Mean, xbar = (150 + 110)/2 = 130

Standard deviation, σ = √((150-110)²/12 = 11.55

To find the probability that x will take on a value between 120 and 125

We need to standardize 120 & 125

z = (x - xbar)/σ = (120 - 130)/11.55 = - 0.87

z = (x - xbar)/σ = (125 - 130)/11.55 = - 0.43

P(120 < x < 125) = P(-0.87 < x < -0.43)

We'll use data from the normal probability table for these probabilities

P(120 < x < 125) = P(-0.87 < x < -0.43) = P(z ≤ -0.43) - P(z ≤ -0.86) = 0.33360 - 0.19215 = 0.14145

Hope this Helps!!!

3 0
3 years ago
I need help please I have to finish this
4vir4ik [10]

Answer: x=4

Step-by-step explanation:

We know that line segment AC= AB + BC

we also know that AB= 3x+8 and BC= 2x-5

by substituting these, we get AC= (3x+8)+(2x-5)

AC is given as being 23, so we know that

23= (3x+8)+(2x-5)

by combining like terms, we get that

5x+3=23

simplify this to get that x=4

6 0
3 years ago
How to slove with systems of equations
juin [17]

Answer:

$3 for Syd and $5 for Mark

Step-by-step explanation:

when Mark worked 8 hours and Syd worked 10 hours they earned $80

when Mark worked 9h Syd worked 5h they earned $65

we can make a equation out of these information

8M + 10S = $80

9M + 5S = $65 we can use the systems of equations by eliminating method

multiply second equation by -2

-2 × (9M + 5S) = $65

-18M - 10S = -$130 now add up the new equation with the first one

8M + 10S - 18M - 10S = $80 - $130 (10S will eliminate -10S)

-10M = -$50

10M = $50

M = $5

we can use hourly rate we found for M (Mark) to find the hourly rate for S (Syd)

9×5 + 5S = $65

45 + 5S = $65

5S = $15

S = $3

8 0
3 years ago
Graph the line with this equation y = x + 4​
zhannawk [14.2K]

Answer:

Step-by-step explanation:

5 0
3 years ago
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