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Sergio [31]
2 years ago
8

What's the algebraic expression of "15 less than a number squared"?

Mathematics
1 answer:
torisob [31]2 years ago
8 0
Again take the variable to be x
x^12-15
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The width of a rectangle is 8 inches less than the length, x, of the rectangle. The sum of the length and width is more than 60
spin [16.1K]

Answer:

x>34

Step-by-step explanation:

w = x-8

w+x>60

x-8+x>60 (substitute x-8 for w)

2x-8>60

2x>68 (add 8 to both sides)

x>34 (divide both sides by 2)

please mark as brainliest :)

5 0
2 years ago
What is the solution to this system of equations?<br><br> -5.9x-3.7y=-2.1<br> 5.9x+3.7y=2.1
marin [14]

Answer:

There are infinite solutions that solve the system y=0.57-1.59x

Step-by-step explanation:

  • The solution can be expressed as y=0.57-1.59x (there are infinite solutions that solve the system). This results from rearranging terms in the first or second equation.
  • This is because the first equation is a linear combination of the second one (this is, the first equation equals (-1) times the second equation). This means that the second equation does not add any information about x and y: it says exactly the same as the first equation about the relationship between x and y.
  • Then, in terms of solving the system, you have one unique expression (not repeated) that shows the relationship between y and x. This means that, any pair of (x,y) that meet the requirements expressed by y=0.57-1.59x, will solve the system. Then we have infinite solutions.
8 0
3 years ago
Read 2 more answers
Solve the inequality. Write your answer using interval notation. X(x − 1)(x + 4) &gt; 0
Nata [24]

Set each factor EQUAL to zero to find the zeroes (since it is not actually equal to zero, you will use an open circle when graphing and an open bracket when writing in interval notation).

x = 0           x-1 = 0             x + 4 = 0

                   x = 1                x = -4

Next, choose a value to the far left, between each of the zeroes, and to the far right to evaluate if it makes a true statement when input into the given inequality.

far left (I choose -5): -5(-5 - 1)(-5 + 4) > 0   →  (-)(-)(-) > 0  →   negative > 0  FALSE

- 4 to 0 (I choose -2): -2(-2 - 1)(-2 + 4) > 0   →  (-)(-)(+) > 0  →   positive > 0  TRUE

0 to 1 (I choose 0.5): .5(.5 - 1)(.5 + 4) > 0   →  (+)(-)(+) > 0  →   negative > 0  FALSE

far right (I choose 2): 2(2 - 1)(2 + 4) > 0   →  (+)(+)(+) > 0  →   positive > 0  TRUE

Answer: (-4, 0) U (1, ∞)

8 0
2 years ago
Evelyn and her family ate dinner at a restaurant. Their bill came to $46.50, and they left 20% tip. How much money did they spen
timurjin [86]
they spent $55.80 total
4 0
3 years ago
Factorise 4y^2 – 4y + 1
Alona [7]

Answer:

(2y-1)^{2}

Step-by-step explanation:

4y^{2} -4y+1

Sum = -4

Product = 1

Factors = -1 , -1

(2y-1)^{2}

4 0
3 years ago
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