How much money should I save for a big, state to state, road trip?

Mathematics

1 answer:

Tems11 [23]3 years ago

5 0

Answer:

at least a couple hundred for gas, food, and lodging if your not staying in a car

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Use the parabola tool to graph the quadratic function f(x)=x^2+10x+24.

GuDViN [60]

Hello there!

Today we are just going to graph this quadratic function.

First let's find the vertex. There are two ways to find the vertex, but we will use the formula -b/2a today!

f(x)=x^2+10x+24

plug this into -b/2a where a=1 and b=10. (I found out what a and b equal by looking at the each term's coefficient.)

-10/2(1)
-10/2
-5

So the x value for our vertex is -5, so now to find the y-value, we need to plug in -5 in place of x in the equation...
f(x)=x^2+10x+24
f(-5)=(-5)^2+10(-5)+24
f(-5)=25-50+24
f(-5)=-25+24
f(-5)=-1

So the vertex is at (-5,-1)
Look at the table...
X] -5
Y] -1

Now we need to plug in number around the vertex to the equation.
X] -3 -4 -5 -6 -7
Y] -1

f(x)=x^2+10x+24
f(-4)=(-4)^2+10(-4)+24
f(-4)=16-40+24
f(-4)=-24+24
f(-4)=0

f(-3)=(-3)^2+10(-3)+24
f(-4)=9-30+24
f(-4)=-21+24
f(-4)=3

X] -3 -4 -5 -6 -7
Y] 3 0 -1

Now because the parabola is symmetrical, we don't have to plug in the other points to the equation. Watch what I do...
X] -3 -4 -5 -6 -7
Y] 3 0 -1 0 3

I really hope this helps!
Best wishes :)

8 0

4 years ago

Read 2 more answers

Two sides of a rectangle iPhones are five and 5/8 feet long other two sides of 6 1/4 feet long what is the perimeter

hoa [83]

Answer:

Here it is!

Step-by-step explanation:

6 0

4 years ago

How many different 7-digit number plates can be made if the first 2 digits are letters and the last 5 digits are numbers, for ex

saw5 [17]

Answer:

We can use seven letters and numbers.

I am assuming that any numeral in the range 0..9 or any letter from the English alphabet A..Z can appear in any position, with no blank spaces allowed and no restrictions on repetition. I am also assuming that plates with fewer than seven letters and numbers are not allowed.

So, for example A879BX8 is acceptable, so are 5555555 and ABCDEFG, but not A.123.ZX or…..7A, where the dot represents a space.

I am also assuming that you can only use upper case letters.

With these restrictions, there are 36 possibilities for each space and the total number of valid number plates would be 36^7 = 78,364,164,096, let's say about 78 billion.

It is estimated that there are about 1.3 billion cars, trucks and buses in the road today. This number plate system therefore allows more than enough unique license plates. I'd even hazard a guess that it might be more than enough for every road vehicle that has ever been built or ever will be.

In practice there would be other restrictions, for example only letters in some positions and only numbers in others. There'd still be plenty to go around.

Step-by-step explanation:

5 0

3 years ago

Please help quickly

lions [1.4K]

Notice that 6 = 4+2,

11=6+5

19 = 11+8

30 = 19+11

Following the same pattern,

(next number) = 30 + 14 = 44

44 is the next number in the sequence 4, 6, 11, 19, 30, ...