A quadratic's discriminant can either be more than zero, less than zero, or exactly zero. When the discriminant is less than zero, there are no real solutions and the graph won't cross the x-axis. When it's exactly zero, there will be a real double root and the graph is tangent to the x-axis. When it's more than zero, there will be two real solutions and two x-intercepts.
Our graph has two intercepts, so it needs a positive discriminant more than zero. Choice A's is negative - no.
Choice B's is zero - no.
Choice C's is positive -yes.
Thus, "C" is the possible discriminant for the given graph.
<span>pennies = 0.01 $
nickels = 0.05 $
dimes = 0.1 $
quarters = 0.25 $
We must write the system of equations that best suits this problem and solve it:
Let:
x = pennies
y = nickels
z = dimes
w = quarters
Writing the equations
0.01x + 0.05y + 0.1z + 0.25w = 3.71
I have twice as many dimes as nickels
z = 2y
two more nickels than quarters
y = w + 2
three fewer pennies than three times the number of nickels
x = 3y-3.
Solving the system of equations:
x = 21
y = 8
z = 16
w = 6
answer
He has
21 pennies
8 nickels
16 dimes
6 quarters
</span>
Answer: 2cd - 34c + 4d - 7
Answer: 1,070 cm²
Step-by-step explanation:
25 multiplied by 15 is 375.
15 multiplied by 4 is 60.
25 multiplied by 4 is 100.
Now, we multiply these answers by 2.
375 multiplied by 2 is 750.
100 multiplied by 2 is 200.
60 multiplied by 2 is 120.
Add these all up, and you get your surface area, 1,070.
(Tldr; SA = 2lw + 2lh + 2hw)
Answer:
a) 250
b) 125
Step-by-step explanation:
For a, the answer is 250 because if 2 regions are labelled 6, and there are 6 regions, and the spinner is spun 750 times, then we will multiply 2 by 750 and divide the answer by 6.
2 x 750 = 1500
1500/6 = 250
Now, for b, the answer is 125 because 3 is the only prime number there and only one region is labelled 3. So we multiply 1 by 750 (which is 750) and divide by 6.
750/6 = 125.
a = 250
b = 125
