Answer:
2 real solutions
Step-by-step explanation:
Remember this messy thing?
The <em>quadratic formula</em>, as it's called, gives us the roots to any quadratic equation in standard form (ax² + bx + c = 0). The information on the <em>type</em> of roots is contained entirely in that bit under the square root symbol (b² - 4ac), called the <em>discriminant</em>. If it's non-negative, we'll have <em>real</em> roots, if it's negative, we'll have <em>complex roots</em>.
For our equation, we have a discrimant of (-3)² - 4(6)(-4) = 9 + 96 = 105, which is non-negative, so we'll have real solutions, and since quadratics are degree 2, we'll have exactly 2 real solutions.
Answer:
We need to use
Step-by-step explanation:
We have to use the equation for passing through the points known as
y2-y1/x2-x1
-1-3/0-5= -4/-5
the answer is 4/5
decimal: 0.8
Answer:
i think it would be 4x4=8+8=16
Let's begin by breaking each number down into its prime factors: 4 = 2 x 2 5 = 5 6 = 2 x 3 Next, let's determine the Lowest Common Multiple (LCM) of the numbers 4, 5, and 6 by multiplying all common and unique prime factors of each number: common prime factors: 2 unique prime factors: 2,5,3 LCM = 2 x 2 x 5 x 3 = 60 Next, let's determine how many times 60 goes into 10,000 (excluding remainder): 10,000/60 = 166 and 2/3 Multiples of ALL 3 numbers (4,5,6) = 166 Next, let's determine the Lowest Common Multiple (LCM) of the numbers 4 and 5 by multiplying all common and unique prime factors of each number: common prime factors: none
unique prime factors: 2 x 2 x 5
LCM = 2 x 2 x 5 = 20 Next, let's determine how many times 20 goes into 10,000:
10,000/20 = 500
Multiples of BOTH numbers (4 and 5) = 500 Finally, let's subtract the multiples of ALL three numbers (4,5,6) from the multiples of BOTH numbers (4 and 5) to get our answer: Multiples of ONLY numbers 4 and 5 (excluding 6): 500 - 166 = <span>334</span>
Area of rectangle = 2(2w - 5) is the factored form of given expression
Multiplying the length and width of a rectangle, we get the area of the rectangle
<em><u>Solution:</u></em>
Given that, area of rectangle is 4w - 10 square units
We have to factor the expression
From given,
Area of rectangle = 4w - 10
Take 2 as common factor
Area of rectangle = 2(2w - 5)
Thus the given expression is factored
<em><u>The area of rectangle is given as:</u></em>
Thus, multiplying the length and width of a rectangle, we get the area of the rectangle
When we multiply 2 with 2w - 5 we get the area of rectangle
From above we can say,
Length = 2 or 2w - 5
Width = 2w - 5 or 2
So when dimensions of rectangle are multiplied we get area of rectangle
