please i need help asap

Answer:

300 because if he traveled 150 in 3 to find six just multiply by 2

Answer:

The van traveled 300 miles in 6 hours.

Step-by-step explanation:

150 divided by 3 = 50

So each hour the van traveled 50 miles.

50 x 6 = 300

Answer:

[tex]f(x) = 3^x[/tex] --- Function A

[tex]f(x) = x^2 - 5[/tex] --- Function B

[tex]f(x) = 18x -6[/tex] --- Function C

Step-by-step explanation:

Solving (a): Equation of Function A

An exponential equation is represented as:

[tex]y = ab^x[/tex]

From the graph of function A,

[tex]x = 0\ when\ y = 1[/tex]

[tex]x = 1\ when\ y = 3[/tex]

For: [tex]x = 0\ when\ y = 1[/tex]

[tex]y = ab^x[/tex] becomes

[tex]1 = ab^0[/tex]

[tex]1 = a[/tex]

[tex]a =1[/tex]

For: [tex]x = 1\ when\ y = 3[/tex]

[tex]y = ab^x[/tex] becomes

[tex]3 = a*b^1[/tex]

[tex]3 = a*b[/tex]

Substitute 1 for a

[tex]3 = 1*b[/tex]

[tex]3 = b[/tex]

[tex]b = 3[/tex]

[tex]y = ab^x[/tex] becomes

[tex]y = 1*3^x[/tex]

[tex]y = 3^x[/tex]

Replace y with f(x)

[tex]f(x) = 3^x[/tex]

Solving (b): Equation of Function B

A quadratic equation is represented as:

[tex]y = ax^2 + bx + c[/tex]

From the table of function B,

[tex]x = 3\ when\ y =4[/tex]

[tex]x = 5\ when\ y =20[/tex]

[tex]x = 6\ when\ y =31[/tex]

For: [tex]x = 3\ when\ y =4[/tex]

[tex]y = ax^2 + bx + c[/tex] becomes

[tex]4 = a*3^2 + b*3 + c[/tex]

[tex]4 = a*9 + 3b + c[/tex]

[tex]4 = 9a + 3b + c[/tex]

For [tex]x = 5\ when\ y =20[/tex]

[tex]y = ax^2 + bx + c[/tex] becomes

[tex]20 = a*5^2 + b*5 + c[/tex]

[tex]20 = a*25 + b*5 + c[/tex]

[tex]20 = 25a + 5b + c[/tex]

For [tex]x = 6\ when\ y =31[/tex]

[tex]y = ax^2 + bx + c[/tex] becomes

[tex]31 = a*6^2 + b*6 + c[/tex]

[tex]31 = a*36 + b*6 + c[/tex]

[tex]31 = 36a + 6b + c[/tex]

So, we solve for a, b and c in:

[tex]4 = 9a + 3b + c[/tex]

[tex]20 = 25a + 5b + c[/tex]

[tex]31 = 36a + 6b + c[/tex]

Make c the subject in [tex]4 = 9a + 3b + c[/tex]

[tex]c = 4 - 9a - 3b[/tex]

Substitute [tex]c = 4 - 9a - 3b[/tex] in [tex]20 = 25a + 5b + c[/tex] and [tex]31 = 36a + 6b + c[/tex]

[tex]20 = 25a + 5b + c[/tex] becomes

[tex]20 = 25a + 5b + 4-9a-3b[/tex]

Collect Like Terms

[tex]-4+20 = 25a -9a+ 5b -3b[/tex]

[tex]16 = 16a+ 2b[/tex]

Divide through by 2

[tex]8 = 8a + b[/tex]

[tex]c = 4 - 9a - 3b[/tex]

[tex]31 = 36a + 6b + c[/tex] becomes

[tex]31 = 36a + 6b + 4 - 9a - 3b[/tex]

Collect Like Terms

[tex]-4+31 = 36a - 9a+ 6b - 3b[/tex]

[tex]27 = 27a+ 3b[/tex]

Divide through by 3

[tex]9 = 9a + b[/tex]

Solve for a and b in: [tex]8 = 8a + b[/tex] and [tex]9 = 9a + b[/tex]

Subtract both equations:

[tex]8 - 9 = 8a - 9a + b - b[/tex]

[tex]8 - 9 = 8a - 9a[/tex]

[tex]-1 = -a[/tex]

Divide both sides by -1

[tex]1 = a[/tex]

[tex]a = 1[/tex]

Substitute 1 for a in [tex]9 = 9a + b[/tex]

[tex]9 = 9*1 + b[/tex]

[tex]9 = 9 +b[/tex]

Subtract 9 from both sides

[tex]9-9=9-9+b[/tex]

[tex]0=b[/tex]

[tex]b = 0[/tex]

Substitute [tex]b = 0[/tex] and [tex]a = 1[/tex] in [tex]c = 4 - 9a - 3b[/tex]

[tex]c = 4 - 9*1-3*0[/tex]

[tex]c = 4 - 9-0[/tex]

[tex]c = -5[/tex]

So, the equation is:

[tex]y = ax^2 + bx + c[/tex]

[tex]y=1*x^2 +0*x-5[/tex]

[tex]y=x^2 -5[/tex]

Replace y with f(x)

[tex]f(x) = x^2 - 5[/tex]

Solving (c): Equation of Function C

This is calculated using:

[tex]f(x) =a + (x -1)d[/tex]

Where

[tex]a = 12[/tex] -- the first term

d = the difference between successive terms

[tex]d = 30 -12 = 48-30 = 66 -48[/tex]

[tex]d =18[/tex]

So, we have:

[tex]f(x) =a + (x -1)d[/tex]

[tex]f(x) = 12 + (x - 1)*18[/tex]

Open bracket

[tex]f(x) = 12 + 18x - 18[/tex]

Collect Like Terms

[tex]f(x) = 18x - 18+12[/tex]

[tex]f(x) = 18x -6[/tex]

Answer:

1 - 155 +27n

2- 2x+15=33

Step-by-step explanation:

hope this helps

Answer:

go to the skating rink

Step-by-step explanation:

if multiply 5x 7 you get 35

If you add 35+15 you get 50 which is the amount of money you have. So if you chose the bowling ally you could bring 7 friends

but is you multiply 3x10 that equals 30

Add that by 20 and you get 50

let me know if its right

1/26

Because there are 26 letter in the Alphabet

Answer: 1/26

Step-by-step explanation:

Look up "Everything You Need To Know About Math In One Big Fat Notebook pdf." It's the best thing I've ever been given, I have it with me in math class all the time and I've aced every test. I have it with me right now and it has everything I've ever been taught about math in it so it might help you.

Answer:

Rip i saw you said times up :/

Step-by-step explanation:

Answer:

35 squared plus x squared equals 78 Squared

which makes your answer

69.7

Step-by-step explanation:

Answer:

35 square + x square 78 square

= 69.7

Step-by-step explanation:

Answer:I think it’s 33.33%? Not 100% sure but I hope it helps!

Step-by-step explanation:

Answer:

c)   a ( b + c ) = (a + b ) + c

Step-by-step explanation:

The associative property is a property of some binary operations, which means that rearranging the parentheses in an expression will not change the result. In propositional logic, associativity is a valid rule of replacement for expressions in logical proofs.

Answer:

B

Step-by-step explanation:

Answer:

2x+15=33

Step-by-step explanation:

Let n be the number of days he has been doing sit ups, not counting the first day. Since he does 2 more sit-ups for each day, then the number of additional sit-ups is 2n.

Since he started doing  15 sit-ups on the first day, the total number of sit-ups

after x days would be 2n+15.

Since he did a total of 33 sit ups today, then 2n+15=33

Answer:

17.08

Step-by-step explanation:

I can't see the picture, can you please explain the problem in the comment bar below this so can edit my answer to help?

Answer:

line and point

Step-by-step explanation:

The kind of symmetry the figure given above posses is a line and point symmetry.

A point Symmetry also known as origin symmetry is a Symmetry which occurs when every part of an object has a matching part. That is, the same distance from the central point but in the opposite direction.

Given that;

The objects looks the same when viewed from opposite directions.

We know that;

A line of symmetry is a line that cuts a shape exactly into two equal half. That is, if you fold the shape along the line, both halves would match exactly.

Therefore, the figure given above has both point and line Symmetry.

Learn more about line and point symmetry:

brainly.com/question/1553710

#SPJ3

Answer:

-x

Step-by-step explanation:

Answer: $181.48 O_O

Step-by-step explanation: i know that stuff

Answer:

$530.48

Step-by-step explanation:

i can answer now yay

Answer:

I'm sorry but I was doing it in my notebook and no and it came out a proper answer and well I'm not going to answer something that this bad I don't like to look bad the truth I thought was going to be easier but I couldn't do it I hope that another volunteer arrives and helps you and give you a better answer I will tell you what was my answer I think is not going to be bad 45.90

Step-by-step explanation:

Answer:

Hello

Step-by-step explanation:

Answer:

b=-3

Step-by-step explanation:

9+3=-4b

12=-4b

b=12/-4

b=-3

Answer:

23/6

Step-by-step explanation:

3/56

Answer:

This is a triangular prism

Step-by-step explanation: