Answer:
x = 3 . . . or . . . x = 4
Step-by-step explanation:
The factored form is ...
(x -3)(x -4) = 0
The zero product rule tells you the solutions are the values of x that make the factors be zero:
x = 3
x = 4
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Comment on factoring
When the leading coefficient is 1, the coefficient of the x-term is the sum of the constants in the binomial factors, and the constant term is their product. You can see this by multiplying out the generic case:
(x +a)(x +b) = x^2 +(a+b)x + ab
What this means is that when you're factoring, you're looking for factors of the constant that add up to give the coefficient of the x-term. Here, the x-term is negative and the constant is positive, so both factors will be negative.
12 = -1×-12 = -2×-6 = -3×-4
The sums of these factor pairs are -13, -8, -7. Clearly, the last pair of factors of 12 will be useful to us, since that sum is -7. So, the binomial factors of our equation are ...
(x -3)(x -4) = 0
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If the leading coefficient is not zero, the method of factoring is similar, but slightly different. Numerous videos and web sites discuss the method(s).
Answer:
C. 9
Step-by-step explanation:
y = -4x^2 + 2kx
subtitute 3:
y = -4(9)^2 + 2k(9)
y = -4(81) + 18k
let y = 0
=> 0 = -324 + 18k
=> k = 324/18 = 9
this is my calculations hope it helps
Answer and explanation:
<em>To solve this, you must find what x equals</em>
x + 2x + 7 = 3x - 7 <em>Add together any numbers that can be added on their side</em>
3x + 7 = 3x - 7 <em>Then subtract 7 from both sides to get 3x alone</em>
3x = 3x - 14 <em> Then subtract 3x from both sides to get x</em>
<h3><em>*The x's cancel each other out so you must have typed the equation wrong. Please check to see any mistakes you may have made*</em></h3>
Answer:
B, 110
Step-by-step explanation:
Work Backwards!
1.- 260 - 110 = 150 children
2.- 150 X $2.50 (rate of children) = $375
3.- $815 - $375 = $440
4.- $440/$4 (rate of adults) = 110 Adults
<u>Answer:
</u>
The average speed that the club is assuming is 50 miles per hour
<u>Solution:
</u>
We know that Distance = Speed × Time.
Here it is given that distance is 325 miles and the time to cover 325 miles is 
hours which is equal to 
hours.
Now to find the average speed mile per hour we use the formula
By cancelling 325 by 13 we get 25
= 25 × 2
= 50 miles per hour
Thus the average speed that the club is assuming is 50 miles per hour.
