Answer:
D
Step-by-step explanation:
A negative discriminant indicates that the quadratic equation has no real roots.
Thus the graph does not touch or intersect the x- axis
The only graph that does not touch or intersect the x- axis is the fourth one
Answer:
24 and 9
Step-by-step explanation:
Hi there!
Let x be equal to the larger integer.
Let y be equal to the smaller integer.
<u>1) Construct equations</u>
(The sum of two integers is 33)
(The larger is 6 more than twice the smaller)
<u>2) Solve for one of the integer</u>
Isolate x in the first equation

Plug the first equation into the second

Combine like terms

Therefore, the smaller integer is 9.
<u />
<u>3) Solve for the other integer</u>

Plug in y (9)

Therefore, the larger integer is 24.
I hope this helps!
Answer:
#1 = 234
:)
Step-by-step explanation:
Answer:
$10000
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 5%/100 = 0.05 per year,
then, solving our equation
P = 2000 / ( 0.05 × 4 ) = 10000
P = $ 10,000.00
The principal required to
accumulate interest of $ 2,000.00
on a rate of 5% per year for 4 years is $ 10,000.00.
Answer:
12 Pieces
Step-by-step explanation:
Number of candies in Jane's bag = x
she gives 8 to her friend;
x - 8
Then jane's grandmother buys 5 more pieces than jane had originally; add (x + 5)
x - 8 + x + 5
Now jane has 27 pieces of candy
x - 8 + x + 5 = 27
Solve for x;
x - 8 + x + 5 = 27
2x - 3 = 27
2x = 27 -3
2x = 24
x = 12