So, to make a mixed number into an improper fraction, you have to multiply the whole number by the denominator and then add the numerator o that number.
2 and 7/10:
2x10=20+7=27/10!
<u>The answer would be B!</u>
I hope this helps!
Austin should pay $75 the first month, and 37.50 for the remaining of the 2 months
y = 0.012x + 0.65<span><span><span>
Number of pages </span>
<span> 50.00 </span><span> 100.00 </span><span> 150.00 </span>
<span> 200.00 </span>
</span>
<span>
<span>
Cost </span>
<span> 1.25 </span>
<span> 1.85 </span>
<span> 2.45 </span>
<span> 3.05
x = number of pages
y = cost
intervals of x = 50 pages
intervals of y = 0.60
0.60 / 50 = 0.012
y = 0.012x + 0.65
</span></span></span><span>
<span>
</span><span><span>
<span> x </span>
<span> 0.012*x </span>
<span> y </span>
</span>
<span>
0.012
<span> 50 </span>
<span> 0.60 </span>
<span> 0.65 </span>
<span> 1.25
</span></span><span>0.012
<span> 100 </span>
<span> 1.20 </span>
<span> 0.65 </span>
<span> 1.85
</span>
</span>
<span>
0.012
<span> 150 </span>
<span> 1.80 </span>
<span> 0.65 </span>
<span> 2.45
</span>
</span>
<span>
0.012
<span> 200 </span>
<span> 2.40 </span>
<span> 0.65 </span>
<span> 3.05 </span>
</span></span></span><span>
</span>
Answer:
x = - 
, x = 
Step-by-step explanation:
Given
x² - x - 
= 0
Multiply through by 4 to clear the fraction
4x² - 4x - 3 = 0
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term
product = 4 × - 3 = - 12 and sum = - 4
The factors are + 2 and - 6
Use these factors to split the x- term
4x² + 2x - 6x - 3 = 0 ( factor the first/second and third/fourth terms )
2x(2x + 1) - 3(2x + 1) = 0 ← factor out (2x + 1) from each term
(2x + 1)(2x - 3) = 0
Equate each factor to zero and solve for x
2x + 1 = 0 ⇒ 2x = - 1 ⇒ x = -
2x - 3 = 0 ⇒ 2x = 3 ⇒ x =
