<h2>Hey there </h2>
<h2>
Answer:</h2>
<h3>- 1976</h3>
<h2>
Step-by-step explanation:</h2>
<h2>Therefore, finding the discriminant:</h2>
<h3>a = 3 b = -4 c = 164</h3>
<h3>We, know that to find discriminant. </h3>
<h3>b^2 - 4.a.c</h3>
<h3>(-4)^2-4.3.164</h3>
<h3>-8 - 1968</h3>
<h3>- 1976</h3>
<h2>Hope it help you</h2>
Answer:
a) Let's define the variables:
t = number of tulips bought
r = number of roses bought
We know that each tulip costs $5, and each rose costs $3.
Then the total cost will be:
$5*t + $3*r
We know that Morty spent a total of $54, then we have the equation:
$5*t + $3*r = $54
We also know that he bought a total of 14 flowers, then:
r + t = 14
Then the system of equations is:
$5*t + $3*r = $54
r + t = 14
b) To solve the system, first, we need to isolate one of the variables in one of the equations. I will isolate r in the second one:
r = 14 - t
Now we can replace this into the other equation:
$5*t + $3*r = $54
$5*t + $3*(14 - t) = $54
Now we can solve this for t.
$5*t + $3*14 - $3*t = $54
$2*t + $42 = $54
$2*t = $54 - $42 = $12
t = $12/$2 = 6
t = 6
He bought 6 tulips.
Now we can use the equation r = 14 - t
r = 14 - 6 = 8
r = 8
He bought 8 roses.
Answer:
4 or -4
Step-by-step explanation:
Y is directly proportional to x^2 means there is a constant, k, such that y=kx^2.
We are given y=8 when x=2. This information will allow us to find k in the equation y=kx^2.
8=k(2)^2
8=k(4)
This implies k=2 since 2(4)=8.
So the equation for any pair (x,y) is y=2x^2.
We want to find x when y=32.
32=2x^2
32/2=2x^2/2
16=x^2
This implies x=4 or -4.
