Firstly, we will let this mystery number we are finding be labelled as x. Double this number can be written as 2x. 5 less than double this number is written as 2x - 5. And because this number is between -7 and 13, we have the full inequality, -7 < 2x - 5 < 13.
To solve this inequality, we want to isolate x, so we add 5 to all 3 parts of the inequality. Doing so cancels out the - 5 in the middle, so our new inequality is -2 < 2x < 18. Now we want to divide all 3 parts of the inequality by 2 to isolate x, so now our final inequality is -1 < x < 9. Thus, we can say that x is between -1 and 9.
Answer:
x=8
Step-by-step explanation:
x + 1 = 9
Simplifying
x + 1 = 9
Reorder the terms:
1 + x = 9
Solving
1 + x = 9
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-1' to each side of the equation.
1 + -1 + x = 9 + -1
Combine like terms: 1 + -1 = 0
0 + x = 9 + -1
x = 9 + -1
Combine like terms: 9 + -1 = 8
x = 8
Simplifying
x = 8
Answer:
The correct answer is because the alternative terms are prime and composite.
Step-by-step explanation:
The given polynomial is
+ 7.
The value of the polynomial when y = 0 is 7.
The value of the polynomial when y = 1 is 8.
The value of the polynomial when y = 2 is 11.
The value of the polynomial when y = 3 is 16.
The value of the polynomial when y = 4 is 23.
The value of the polynomial when y = 5 is 32.
The value of the polynomial when y = 6 is 43.
And so on. Thus the value of the polynomial at alternate values of y are prime. Thus this is why the polynomial is said to be relatively prime.
Use quadratic formula since we can't factor
for 0=ax²+bx+c

so, for
0=1x²-6x-4
a=1
b=-6
c=-4





the solutions are x=3+√13 and x=3-√13
or aprox
x≈6.61 and x≈-0.61