25 POINTS<br><br> IF U TELL ME THE ANSWER I'LL GIVE U 20 POINTS AND MARK YOU AS BRAINLIEST

Between what two consecutive integers is <img src="https://tex.z-dn.net/?f=%5Csqrt182" id="TexFormula1" title="\sqrt182" alt="\s

Elden [556K]

Answer:

C. 13 and 14

Step-by-step explanation:

They notice that the square root of 182 is between 13 an 14, and it gives them the idea that the numbers 13 and 14 are the solution.

Let n be the smaller of the two consecutive integers.

Then the other integer is (n+1).

We are given that

n*(n+1) = 182.

Simplify

n^2 + n - 182 = 0,

Factor left side

(n-13)*(n+14) = 0.

The solutions are n= 13 and n= -14.

You may check that both of them satisfy the problem' condition, giving you two answers

the pair (13,14) and the pair (-14,-13).

Many people prefer to solve this problem in a short way.

They notice that the square root of 182 is between 13 an 14,

and it gives them the idea that the numbers 13 and 14 are the solution.

Then these people get the next idea that if the product of 13 and 14 is equal to 182,

then the product of the opposite numbers is also 182, so

both the pairs (13,14) and (-14,-13) are solutions.

Solved and explained in detailed and short modes.

7 0

3 years ago

Let f(x) = 4x-5 and g(x) = 3x, find (f/g)(x). Do not simplify.

masha68 [24]

Answer:

(f/g)(x) = f(x)/g(x) = [4x-5]/[3x]

4 0

3 years ago

Solve x²+5x+6=0 by completing the square

Brums [2.3K]

Answer:

x = -2

x= -3

Step-by-step explanation:

x 2+5x+6=0

To solve the equation, factor x^2+5x+6 using formula x^2+(a+b)x+ab=(x+a)(x+b). To find a and b, set up a system to be solved.

a+b=5

ab=6

Since ab is positive, a and b have the same sign. Since a+b is positive, a and b are both positive. List all such integer pairs that give product 6.

1,6

2,3

Calculate the sum for each pair.

1+6=7

2+3=5

The solution is the pair that gives sum 5.

a=2

b=3

Rewrite factored expression (x+a)(x+b) using the obtained values.

(x+2)(x+3)

To find equation solutions, solve x+2=0 and x+3=0.

x=−2

x=−3

4 0

3 years ago

Which set of ordered pairs has point symmetry with respect to the origin (0, 0)?

Leya [2.2K]

Answer:

(-8, 3), (8, -3)

Step-by-step explanation:

Point symmetry about origin means reflection of the given point about the origin.

The reflection of a point about the origin will cause the 'x' and 'y' value of the point to change its sign.

Therefore, the coordinate rule for point symmetry about the origin is given as:

$(x,y)\to (-x,-y)$

Now, let us check each of the given options.

Option 1:

(-8, 3), (8, -3)

Now, if (x, y) = (-8, 3), then its point symmetry is given as (-(-8), -3) = (8, -3)

So, option 1 is correct.

Option 2:

(-8, 3), (-3, 8)

Now, if (x, y) = (-8, 3), then its point symmetry is given as (-(-8), -3) = (8, -3) ≠ (-3, 8)

So, option 2 is not correct.

Option 3:

(-8, 3), (-8, -3)

Now, if (x, y) = (-8, 3), then its point symmetry is given as (-(-8), -3) = (8, -3) ≠ (-8, -3)

So, option 3 is not correct.

Option 4:

(-8, 3), (8, 3)

Now, if (x, y) = (-8, 3), then its point symmetry is given as (-(-8), -3) = (8, -3) ≠ (8, 3)

So, option 4 is not correct.

Hence, only option 1 is correct.

5 0

3 years ago

Two more than a number

schepotkina [342]

X+2 Hope this helps!

6 0

2 years ago

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25 POINTS IF U TELL ME THE ANSWER I'LL GIVE U 20 POINTS AND MARK YOU AS BRAINLIEST