Answer:
Step-by-step explanation:
√(c-2) - √c = 5
√(c-2) = √c + 5
c-2 = c + 10√c +25
Take a look at <span>y = mx^2 – 5x – 2. This is a quadratic equation with a=m, b= -5 and c= -2. What is the discriminant, b^2 - 4ac? (-5)^2 - 4(m)(-2).
There will be 2 complex roots if this discrim. is < 0. Thus, solve
25 + 8m < 0:
Subtr. 25 from both sides: 8m < -25
Div. both sides by 8: m < -25/8
Conclusion: If m is less than -25/8, there will be no real roots (and thus, no x-intercepts). </span>
Answer:
23
Step-by-step explanation:
You can use Euler's method to find the GCF of these values:
(9n -2) mod (7n +3) = 2n -5
(7n +3) mod (2n -5) = n +18
(2n -5) mod (n +18) = n -23
We want this to be zero, so n = 23. (Note that none of the other remainders are zero for any positive integer n.)
The smallest positive integer n for which (9n-2) and (7n+3) share a common factor is 23. (Their common factor is 41.)
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<em>Check</em>
9(23) -2 = 205 = 5×41
7(23) +3 = 164 = 4×41
In functions, the coefficient is the number that multiplies the variables, for example, for 5y, the coefficient is the number "5"
The "leading coefficient" refers to the number that multiplies the greater term of the expression (i.e. the term with the largest exponent), and if the terms are ordered from greatest to least, it corresponds to the coefficient of the first term.
So for the expression
The first and the term with the largest exponent is:
Where "6" is the coefficient of the term and thus the "leading coefficient" of the expression.
Answer:what is the perimeter of polygon lmnpq
Step-by-step explanation:
