How do I put these equations into vertex form?

Mathematics

1 answer:

sergiy2304 [10]3 years ago

8 0

Answer:

Step-by-step explanation:

Calculate -b / 2a. This is the x-coordinate of the vertex.

To find the y-coordinate of the vertex, simply plug the value of -b / 2a into the equation for x and solve for y. This is the y-coordinate of the vertex.

The standard form: ax^2 + bx + c

I hope this helps!

If you dont get the answers, just let me know ^^

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a race car is driving under the caution flag at 440 feet per second begins to accelerate at a constant rate after the warning fl

slava [35]

Answer: $\frac{1}{3}\ s$

Step-by-step explanation:

Given

Distance traveled is $s=30t^2+440t$

for s=150 ft

$\Rightarrow 30t^2+440t=150$

$\Rightarrow 30t^2+440t-150=0\\\Rightarrow 3t^2+44t-15=0\\\Rightarrow (3t-1)(t+15)=0\\\Rightarrow t=\dfrac{1}{3}\ s$

6 0

3 years ago

Louie has 20 more than half as many baseball cards as Gerardo does. Together they have at least 350 cards.

MrRa [10]

In the question it is given that Louie has 20 more than half as many baseball cards as Gerardo does.So,
Let us assume that the number of baseball cards Gerardo has = X
Number of baseball cards that Louie has = 20 + X/2
Also the total number of baseball cards Louie and Gerardo has together is 350.
Then,
X + X/2 + 20 = 350
X + X/2 = 350 - 20
X + X/2 = 330
3X/2 = 330
3X = 330 * 2
3X = 660
X = 660/3
= 220
Number of baseball cards Gerardo has = 220
Number of cards Louie has = 130.

5 0

3 years ago

Given the following linear functions, determine their relationship:f(x)=5/6x-2 and g (x)=-6/5x+7

Gnom [1K]

The relationship is x=4.4 when y is 1.7

Step-by-step explanation:

The functions are :

$f(x)=\frac{5}{6}x-2\\ \\\\g(x)=\frac{-6}{5} x+7$

Because they are linear functions, a relationship can be identified if you graph the functions using a graph tool and visualize their point of intersection to see the values of x and y at that point.These values will satisfy both the functions to show that the two functions have a relationship.

Learn More:

Simultaneous equations :brainly.com/question/12318095

Keyword : Functions

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