Answer:
D. An outline for a paper
Step-by-step explanation:
Think of a function like a template for numbers. You plug in numbers you know and you get a formula that is structured correctly. An outline is just like this because it is a structure for words.
Well, to find the vertex of a quadratic, we have a few options. we can either complete the square, or solve for the x value of the vertex using a nifty equation. I'm gonna go that route, but if your interested in the complete the square thing I can show you.
Anyway, the x value of a vertex equals
x = -b/2a
assuming
f (x) = ax^2 + bx + c.
so b is the coefficient in front of just x and a the coefficient in front of x^2 and so on. let's solve for x in your problem.
y = 4x^2 + bx + c
so, our x value has to be
x = -b/2 (4) right? so how do we solve for b, which is what we wanna know, from that? well, we KNOW the x value is supposed to be -7 in this case. so that means...
-7 = -b/2 (4) now just solve for b.
b = 56 if you need the work I can show you in comments.
Anyway, now we know b. how do we solve for c? well, let's fill in our old equation with our new info.
y = 4x^2 + 56x + c
what do we know? well, we know the vertex of this line is (-7,6). what does this tell us? well, the vertex is a point on our line, so that means I could plug in my point, right?
6 = 4 (-7)^2 + 56 (-7) + c
if (-7,6) is a point on my line, ^^^ that will be true. now all you gotta do is solve for c. if you need the work, I can show ya in the comments.
c = -196
hope this helps!
The formula is A, t=2m. For example, let's say Mickey Mouse and Donald Duck go to the Roadside Restaurant and order three milkshakes, they would have six straws. You're able to find the number of straws by multiplying the number of milkshakes (m) by two. Since for every milkshake, you get two straws. In conclusion, yes, the answer is option A.
If you need more help, let me know!
Hope this helps! :-)
Answer: Diego, 4a + 9b is equivalent
Step-by-step explanation:
7a + 5b - 3a + 4b
= (7a - 3a) + (5b + 4b) We rerange the variables, and put them together with (), which make it more clear to solve.
= 4a + 9b
Answer: 28.3 %
Step-by-step explanation:
60-43 = 17
17/60 = 0.283
