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goldenfox [79]
3 years ago
10

Sammy the turtle can walk 1/8 of a mile in an hour.How many hours will it take him to walk 1^1/4 miles?

Mathematics
1 answer:
Eduardwww [97]3 years ago
5 0
It will take him 10 hours 

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Calculate the average rate of change for given function, from x=2 to x=7
LenaWriter [7]
"When you calculate the average rate of change of a function, you are finding the slope of the secant line between the two points. f(x) = x2 and f(x + h) = (x + h) Therefore, the slope of the secant line between any two points on this function is 2x + h."
8 0
3 years ago
Solve the system by graphing. Y=2x-9 y=-2x-1
sattari [20]

Answer:

(2,-5)

Step-by-step explanation:

See attachment

One can also solve this by calculation:

y=2x-9

y=-2x-1

-

Rearrange either equation to find x.  I'll use the first:

y=2x-9

2x = y+9

x = (y+9)/2

Now use this value of x in the second equation:

y =  -2x-1

y =-2((y+9)/2)-1

y = (-2y-18)/2)-1

y = -y -9 - 1

2y = -10

y = -5

Now use -5 for y in the rearranged equation:

y =  -2x-1

-5 =  -2x-1

-2x = -4

x = 2

Solution is (2,-5)

But the question wants a graph solution, which is also fun when you use DESMOS.

4 0
2 years ago
4. Steve has a card collection. He keeps 12 of the cards in a pocket, which
BabaBlast [244]

Answer:

I think 80

Step-by-step explanation:

100/15=6.66666667

12x6.67=80.4

4 0
3 years ago
When you forget to add the attachment,, r.i.p. ,, what I said before and all that
kati45 [8]
a.
h = 2c - 3

b.
3h + 1.5c = 201

c.
We have a system of equations from part a and b.
h = 2c - 3   (equation 1)
3h + 1.5c = 201   (equation 2)

We use substitution method to solve this system.
Substitute equation 1 in equation 2 to get
3h + 1.5c = 201
>> 3(2c - 3) + 1.5c = 201
>> 6c - 9 + 1.5c = 201
>> 7.5c = 201 + 9
>> 7.5c = 210
>> c = 210 / 7.5
>> c = 28

Plug this value back in equation 1 to get
h = 2c - 3  
>> h = 2(28) - 3 = 56 - 3 = 53

So, c = 28 and h = 53 implies that <u>28 corndogs</u> and 53 hotdogs were sold.
3 0
3 years ago
Taylor buys nail polish from a shop that cost $3.95 each. She has a maximum of $30 to spend on nail polish purchases. The total
kati45 [8]

Answer:

C_t=3.95x,\ 0\leq x\leq 7

Step-by-step explanation:

<u>Modeling With Functions</u>

It's a common practice to try to mathematically represent the relation between two or more variables. It allows us to better understand the behavior of the phenomena being observed and, more importantly, to be able to predict future values.

The specific situation stated in the question relates how Taylor buys nail polish for $3.95 each, with a maximum of $30 to spend. If x is the number of nail polish purchased, then the total cost will be

C_t=3.95x

But we know Taylor has a limited budget of $30, so the total cost cannot exceed that amount

3.95x\leq 30

Solving the inequality for x

x\leq 30/3.95

x\leq 7.6

We round down to

x\leq 7

Of course, the lower limit of x is 0, because Taylor cannot purchase negative quantities of nail polish

Our model is now complete if the state the limits of x, or its domain

\boxed{C_t=3.95x,\ 0\leq x\leq 7}

3 0
3 years ago
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