Answer:
k > 12
Step-by-step explanation:
If a quadratic equation has no real roots the values of b^2 - 4ac
( for the general form ax^2 + bx + c = 0) is negative,
So we have the inequality:
(-12)^2 - 4*3* k < 0
144 - 12k < 0
12k > 144
k > 12
Hello from MrBillDoesMath!
Answer:
x = -3, 4
Discussion:
The zeroes of f(x) are the x values where
2x + 6 = 0 => x = -3
and
x - 4 = 0 => x = 4
Thank you,
MrB
2. 64 = 2 × 2 × 2 × 2 × 2 × 2 2 |64
√64 = √2 × 2 × 2 × 2 × 2 × 2 2 |32
√64 = 2 × 2 × 2 2 |16
√64 = 2³ 2 |8
√64 = 8 2 |4
2 |2
3. No positive square root exists for -85 as it is a negative integer. The squares of a number is always positive.
4. 114 is not a perfect square. √114 = 10.677078252
5. √16 = 4
6. √105 = 10 (nearest)
7. √81 = 9
8. √14 = 4 (nearest)
9. √8 = 3 (nearest)
Assuming you want the equation in slope intercept form, you first need to use slope formula to find the slope.

Plug in the coordinates that you have, (3,-1) and (4,7), for the x and y values respectively.

Which reduces to 8/1=8.
The slope of your equation is 8.
Slope intercept form is: y=mx+b. m is your slope and b is your y-intercept, x and y stay unchanged.
Plug the slope in:
y=8x+b.
Now, you can plug one of the sets of coordinates into the x and y of the equation to find b. I'm using (3,-1).
-1=8(3)+b
-1=24+b
Subtract 24 from both sides.
-25=b
Now plug this into the equation!
y=8x-25 is your final equation.
I hope this helps :)
25 expressed as a mixed number is just 25
-Hunter