U = sec x ( substitution )
u² + 2 u = 0
u ( u + 2 ) = 0
u = 0, or u = - 2
1/cos x = 0 1/cos x = - 2
(not accepted ) cos x = -1/2
x 1 = 2π/3, x 2 = 4π/3
Answer:
m=12
Explanation:
Given any quadratic function, y=ax²+bx+c.
We can determine the nature of the roots of such quadratic function by examining the discriminant, D where:
• If D>0, the roots are real and unequal.
,
• If D=0, the roots are real and equal.
,
• If D<0, the roots are complex.
In our given equation:
For the function to have exactly one zero, the value of D=0.
The value of m for which the function will have one zero is 12.
Hello!!
One possible answer:
"Nathan and Jake make a business deal. Nathan receives three quarters of the money made if he runs Jake's shop for a week. Nathan receives 21 dollars. What was the total amount of money made for that week?"
Hope this helps!! Let me know if you have ANY questions.
Answer:
y= -1.4x-6.6
Step-by-step explanation:
(1,-8)
7x+5y=-7
Make the equation into standard form
Subtract 7x from both sides
5y=-7x-7
Divide all by 5
y=-1.4x-1.4
Since they are parrallel, we know the slope is -1.4x
y=-1.4x+b
(1,-8) is one of the points it goes through
Replace the x and y in the equation for the x and y in the incomplete equation
-8=-1.4+b
Add 1.4 to both sides
-6.6=b
Thus the equation is
y=-1.4x-6.6
Answer:
26
Step-by-step explanation:
[(7+3)5-4]/2+3
-To solve this equation you have to use PEMDAS
P- Parentheses
E- Exponents
M- Multiplication
D- Division
A- Addition
S- Subtraction-
- With MD and AS you work left to right of the equation since they are in the same spot. (PE[MD][AS])
Step 1) [(10)5-4]/2+3
- First you do "P," parentheses, so you add 7+3=10
Step 2) [50-4]/2+3
- Next you do "M," multiplication, and multiply 10x5=50
Step 3) [46]/2+3
- Then you do "S," subtraction, and subtract 50-4=46
(FYI: Steps 1-3 were still in the parentheses. We had to start with the parentheses in the parentheses, work PEMDAS, and now we are out of the parentheses and have to work PEMDAS on the rest of the problem.)
Step 4) 23+3
- Now we do "D," division, and divide 46/2=23
Step 5) 23+3=6
- Finally we do "A," addition, and add 23+3=26 so the answer is 26
(FYI: "/" means division)
