Add 10 to both sides so that the equation becomes 5x^2 + 11x - 2 = 0.
To find the solutions to this equation, we can apply the quadratic formula. This quadratic formula solves equations of the form ax^2 + bx + c = 0
x = [ -b ± √(b^2 - 4ac) ] / (2a)
x = [ -11 ± √(11^2 - 4(5)(-2)) ] / ( 2(5) )
x = [ -11 ± √(121 - (-40) ) ] / ( 10 )
x = [ -11 ± √(161) ] / ( 10)
x = [ -11 ± sqrt(161) ] / ( 10 )
x = -11/10 ± sqrt(161)/10
The answers are -11/10 + sqrt(161)/10 and -11/10 - sqrt(161)/10.
9514 1404 393
Answer:
A. m - n = 5
Step-by-step explanation:
The applicable rule of exponents is ...
(a^m)/(a^n) = a^(m-n)
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Here, we have a=x and m-n=5.
The slope-intercept form:
y = mx + b
m - slope
b - y-intercept
We have the slope m = -2 and y-intercept (0, 3) → b = 3. Substitute:
<h3>y = -2x + 3</h3>
Factor 28 and 49
28
1*14
1*2*7
49
7*7
7 is the answer
Answer:
Federcio's age possible values are those that are greater than 14 i.e 15, 16, 17 and so on
Step-by-step explanation:
Let Federico's age = x
Three times the difference of Federico’s age, and 4 means:
3(x - 4)
Increased by 7:
3(x - 4) + 7
Is greater than 37:
3(x - 4) + 7 > 37
Solving the inequality:
3x - 12 + 7 > 37
3x - 5 > 37
3x > 37 + 5
3x > 42
x >42/3
x > 14
Federcio's age possible values are those that are greater than 14
