Answer:
x-1= -18
x = -18 +1
x = -17
2x - 4 = - 38
2x = -38 + 4
2x = -34
x = -34/2
x = -17
Step-by-step explanation:
Answer:
If D< 0, the roots of the quadratic equation will b complex.
Step-by-step explanation:
Let
is the given quadratic equation.
So, if the Discriminant (D) =
, the the equation will have only complex solutions.
Complex roots are represented in the form of 
1. <u> x represents the X axis (real) co ordinate,</u>
<u>y represents the Y axis (imaginary) coordinate</u>
<u />
<u />
2. Also, the graph of the with equation D < 0 NEVER CROSSES the X - axis, as there are no real roots of the equation, only complex roots.
3. Here. roots are always identical but are opposite in signs. Such pair or roots with opposite sign are called CONJUGATE PAIRS.
Answer:
x = 1, y = 6
or
x = 5, y = 2.
Step-by-step explanation:
y=x2−7x+12
y=−x+7
Substitute for y in the first equation:
- x + 7 = x^2 - 7x + 12
x^2 - 7x + x + 12 - 7 = 0
x^2 - 6x + 5 = 0
(x - 1)(x - 5) = 0
x = 1, 5.
When x = 1, y = -1 + 7 = 6.
when x = 5, y = -5+7 = 2.
Answer:
2 Times
Step-by-step explanation:
Simon can see two lights A and B
- Light A flashes every 15 seconds.
- Light B flashes every 18 seconds.
First, we determine the next time both lights will flash together.
This is done by finding the Least Common Multiple of 15 and 18.
15=3X5
18=
LCM of 15 and 18=
This means that lights A and B will first flash together after 90 seconds.
Now, 240/90=
seconds
Therefore, the number of times more both light will flash together in the next 4 Minutes= 2 Times
Answer:
$0.06 per square inch
Step-by-step explanation:
The question should be:
<em>"If tile costs $8.50 per square foot, how much does it cost per square inch?"</em>
<em />
To solve this, we basically need a conversion from feet to inches. BUT 2 times, since we are talking about "square feet" and "square inches".
We know 1 feet = 12 inches
Also, since we are going from square feet to square inches [big to small], we have to divide TWICE.
Thus, we will have:

We are dividing 8.5 (the cost) by 12, 2 times since we want square feet in square inches. The answer is:

So, tile costs $0.06 per square inch