Answer:
A) x = {5, 7}
B) The solutions make the equation true.
Step-by-step explanation:
<u>Part A</u>:
To solve this by factoring, you need to find factors of 35 that have a sum of -12. Since 35 is the product of two primes, the search is a short one.
35 = (-1)(-35) = (-5)(-7)
The corresponding sums are -36 and -12, so the latter factor pair is the one we want. Since the coefficient of x^2 is 1, we can use these numbers directly in the binomial factors:
x^2 -12x +35 = (x -5)(x -7) = 0
The zero product rule tells us this product is zero only when one of the factors is zero:
x -5 = 0 ⇒ x = 5
x -7 = 0 ⇒ x = 7
The two solutions are x=5 and x=7.
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<u>Part B</u>:
The solutions from part A are the x-intercepts of the graph of the quadratic expression. They are the values of x that make the quadratic expression be zero. That is, they are the values of x that make the equation true.
Answer:170
Step-by-step explanation:
Multiply 210 by 0.70 because that's equal to 70%. This will give you the answer.
Number 6 is 3/10
Hope this helped
Answer:
Step-by-step explanation:
2. expand the brackets
3. take away the smallest x value to simplify 8x-5x=3x
4. 3x=-15 divide both sides by 3 to find the value of x
5. -15/3=-5 therefore x=-5