Answer:
y = 48
Step-by-step explanation:
given y is directly proportional to x then the equation connecting them is
y = kx ← k is the constant of proportionality
To find k use the condition y = 36 when x = 30
k = 
= 
= 
y = x ← equation of proportionality
When x = 40 then
y = × 40 = 48
The possible problems of using graphs to find roots are:
- Having complex roots.
- Having irrational roots.
<h3>How to find the roots of a quadratic function with a graph?</h3>
First, the roots of a quadratic function are the values of x such that:
a*x^2 + b*x + c = 0
To find the roots using a graph, we need to see at which values of x does the graph of the parabola intercepts the horizontal axis.
<h3>What are the possible problems with this method?</h3>
There are two, the first one is having irrational roots, in that case, an analytical or numerical approach will give us a better estimation of the roots. Finding irrational values by looking at the intercepts of the graph can be really hard, so in these cases using the graph to find the roots is not the best option.
The other problem is if we <u>don't have real roots</u>, this means that the graph never does intercept the horizontal axis. In these cases, we have complex roots, that only can be obtained if we solve the problem analytically.
If you want to learn more about quadratic functions, you can read:
brainly.com/question/7784687
Answer:
On Friday he did not make any bracelets He makes 8 more bracelets each day from Tuesday through Thursday
Step-by-step explanation:
He made 12 bracelets on Monday
For 3 days (from Tuesday to Thursday) he added 8 more each day)
8*3=24
24+12 = 36
M =12
T= 20 (12+8)
W=28(20+8)
Th=36(28+8)
F=36 (still has 36 because on Friday he did not make 8 more bracelets)
8*3=24
24+12 = 36
Answer:
4.5 hours
Step-by-step explanation:
let t be the time elapsed
Therefore, we can set up a system of equations and solve accordingly
2t + 16.5 = 4t + 7.5
2t = 9
t = 4.5 hours more till they paint the same amount in square feet
The answer is B. The way you find it is through substitution. First use the coordinate (0, 1/2) in y = ax^2 + c to solve for c: 1/2=a(0)^2 + c--> 1/2=c. Now use that c value in the same y = ax^2 + c equation with the other coordinate to solve for a: 73/2 = a(-3)^2 + 1/2. Subtract 1/2 from both sides to get 72/2=9a. 72/2 is 36. So 36 = 9a...a = 4. Now fill in your a and your c to get y = 4x^2 + 1/2
