Answer: When the quadratic equation can be factored or solved by completing the square, you do not need to use the quadratic formula
Step-by-step explanation: In the form ax² + bx + c
Whenever <em><u>a</u></em> is 1 (implied, no coefficient of x²) and the constant, <u><em>c</em></u>, is a multiple of numbers whose sum or difference is equal to <u><em>b</em></u>, factoring is much quicker and easier than using the quadratic formula.
Even when there is a coefficient of x², there are procedures to find the factors and solve for x without resorting to the quadratic formula.
Answer:
c. 11
Step-by-step explanation:
Bottom row: 6 cubes
middle row: 4 cubes
top row: 1 cube
11 cubes total.
Answer:
Hence two consecutive even integers are 14 and 16
Step-by-step explanation:
Let x and x+2 be the two consecutive even integers
Then according to the given statement in the question
8x = 7(x+2)
<u>Distributive property </u>
8x=7x+14
<u>Subtraction Property of Equality</u>
8x-7x = 14+7x-7x
<u>Simplifying</u>
x = 14
So the first integer is 14 and second is:
x+2 = 14+2 = 16
Hence two consecutive even integers are 14 and 16 ..
The rules are necessary, so that there is agreement as to how to evaluate an expression. By having rules, and having everyone follow the rules, an expression can have only one single correct value. If there are no rules, then different people will interpret the expression differently, and will get different values for its evaluation.
Hello there!
The point (2,-3) would lay in quadrant IV, or 4.
Basically:
Points that are (x, y) or positive x and positive y ay in quadrant 1, or I.
Points that are (-x, y) or negative x and positive y lay in quadrant 2, or II.
Points that are (-x, -y) or negative x and negative y usually lay in quadrant 3, or III.
Points that are (x, -y) or positive x and negative y usually lay in quadrant 4, or IV.
I hope this was helpful! Have a great rest of your day :)
