Find the surface area of the prism. A 75 cm^2 B 125 cm^2 C 95 cm^2 D 113 cm^2

Find the small positive integer solution that solves the equation. if there is no solution, type NONE.

Degger [83]

9514 1404 393

Answer:

x = 7

Step-by-step explanation:

The equation can be rewritten to ...

8x = 13n +4 . . . . for some integers x and n

x = (13n +4)/8

For x to be an integer, 13n must be an odd multiple of 4. Since 13 is an odd number, n=4 will do.

x = (13·4 +4)/8 = 56/8

x = 7

__

The graph shows a "trial and error" method of solution. Only values of x less than 13 need to be examined.

7 0

2 years ago

If one zero of the polynomial (a^2+9)x^2+13x+6a is the reciprocal of the other, find the value of a.

mihalych1998 [28]

Answer: a^2x^2+9x^2+13x+6a

Step-by-step explanation:

(a^2+9) x^2+ 13x +6a

x^2(a^2+9)+13x+6a

Expand:x^2(a^2+9): a^2 x^2+9^2

x^2 a^2 +x^2*9

a^2 x^2+9x^2

a^2 x^2+9x^2+13x+6a

5 0

2 years ago

The set of ordered pairs represents a

Murrr4er [49]

Answer:

The rule that represents the function is $y=x^2+1$ therefore the function is $f(x)=x^2+1$

Step-by-step explanation:

We have 5 ordered pairs in the plane xy. This means that every pair has the form (x, y).

Then, we have 5 values of x, which will give us 5 values of y, using the rule that represents the function.

The easy evaluation is that when x=0, the value of y is y=1, and then we can evaluate the rule for x=-1, and x=1, the value of y is the same, y=2. We can see here that we have a parabolic function, that is not centered in the origin of coordinates because when x=0, y=1.

So we propose the rule $y=x^2+1$ which is correct for the first 3 values of x.

Now, we evaluate the proposed rule when x=2, and when x=3. This evaluations can be written as

$f(2)=2^2+1=5$