Answer:
Step-by-step explanation:
13x-6y=10 (1,4)
x=1 y=4
⇒ 13*1-6*4=10
⇒ 13-24=10
⇒ -11≠10
⇒ (1,4) isn`t solution of the equation y=13x-6y
y=-3|x-5|+1 (1,-11)
x=1 y=-11
-11=-3|1-5|+1
-11=-3|-4|+1
-11=-3(4)+1
-11=-12+1
-11≡-11
⇒ (1,-11) is solution of the equation y=-3|x-5|+1
Answer:
It means that the roots of the quadratic equation are real and distinct
Step-by-step explanation:
Here, given the discriminant of the quadratic equation, we want to find out the nature of the solutions.
Mathematically, we can use to determine the nature of the discriminant.
By it’s formula;
D = b^2 - 4ac
We can see that the given discriminant 40 is a positive value. What this means is that the quadratic equation has roots which are real and are distinct
Answer:
75 > x/15
Step-by-step explanation:
Step 1: Mulitply the 15 on both sides in order to get the x by it self.
Step 2: Simplify. 75 x (15) >x/15 x (15)
Step 3: The 15 on the right hand side cancels out leaving the x by itself.
Final Answr: 1125 > x which translates to<em><u> x < 1125</u></em>
Write out the expression 2 - (2x-7)^2. That's it.
But if you want to go further and remove the parentheses, first expand (2x-7)^2: (2x-7)^2 = 4x^2 - 28x + 49,
and then subtract this result from 2:
2 - (4x^2 - 28x + 49) (It's important to use parentheses here)
Now, following the distributive property of multiplication, remove the parentheses:
2 - 4x^2 + 28x - 49
Combining the constants, we get the final answer: - 4x^2 + 28x - 47
Answer:
For x = -6
Step-by-step explanation:
1.5x + 5 = -4
1.5x = -4 - 5
1.5x = -9
x = -6
Checking: 1.5 * -6 + 5 = -4