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mart [117]
2 years ago
11

Two hot air balloons are traveling along the same path away from a town,

Mathematics
2 answers:
horsena [70]2 years ago
8 0

Answer:

it si this

Step-by-step explanation:

Simplifying

4y + -10 = 5 + -1y

Reorder the terms:

-10 + 4y = 5 + -1y

Solving

-10 + 4y = 5 + -1y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add 'y' to each side of the equation.

-10 + 4y + y = 5 + -1y + y

Combine like terms: 4y + y = 5y

-10 + 5y = 5 + -1y + y

Combine like terms: -1y + y = 0

-10 + 5y = 5 + 0

-10 + 5y = 5

Add '10' to each side of the equation.

-10 + 10 + 5y = 5 + 10

Combine like terms: -10 + 10 = 0

0 + 5y = 5 + 10

5y = 5 + 10

Combine like terms: 5 + 10 = 15

5y = 15

Divide each side by '5'.

y = 3

Simplifying

y = 3

erastova [34]2 years ago
7 0

Answer: A.

Step-by-step explanation: Henrys balloon was farther from the town at the beginning, and it traveled more quickly

I got this right so don't let anyone tell you different  

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7nadin3 [17]
To do this problem, you need to use a process called completing the square. Let me explain:  

To complete the square on the function f(x) = x² + 8x +13, first group the first two terms in (  )  and leave some space at the end as follows:
f(x) = (x² + 8x          ) + 13  Now our next step is to fill in the space and adjust our expression on the right hand side of the function.  To do this, we take half of the middle number 8 and then square it:  so 4² = 16 and we fill in our space inside the ( ) with this value 16;   
f(x) = (x² + 8x + 16) + 13  now what we have done is to increase the overall value of our expression on the right by 16, but we want the overall value to remain the same.  To fix this we simply need to subtract 16 at the end like this:  f(x) = (x² + 8x + 16) + 13 -16   we can simplify and get the following.
f(x) = (x² + 8x + 16) - 3   At this point we're almost done.. All we need to do now is to rewrite the what is in the parentheses in a slightly different form.  Here is what it will look like:  f(x) = (x + 4)² - 3  notice all I did was take the sum of the square root of x² and the square root of 16 originally in the (  ) to get then new expression inside the ( ) and then square that  ( )²

Now this is a nice form to have because you can get the vertex straight from this form.. IN FACT this is called vertex form or (h,k) form for short.  In general the form is f(x) = a(x - h)² + k  don't worry about the 'a'  for now.. you might see that in our case it is just 1 and will not effect our equation.  You only have to consider this if the original leading coefficient of the quadratic is not 1 to begin with...

So you can see that our vertex is (-4,-3)  
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3 years ago
Bone-shaped treats are 5 for $3.50 at Shelley's store and Sarah wants to buy 12. She set up and solved this proportion to find h
Molodets [167]

Answer:

Her error was multiplying numerator by numerator ( that is Quantity of Bone-shaped treats)

Step-by-step explanation:

Sarah's calculation

Let

x = cost of 12 Bone-shaped treats

Quantity of Bone-shaped treats : price

5 : 3.5 = 12 : x

(5/3.5) = (12/x)

Cross product

3.5x=60 (Here is her error)

x=17.14

Correct calculation

Quantity of Bone-shaped treats : price

5 : 3.5 = 12 : x

5 / 3.5 = 12 / x

Cross product

5 * x = 3.5 * 12

5x = 42

x = 42 / 5

= 8.4

x = $8.4

Her error was multiplying numerator by numerator ( that is Quantity of Bone-shaped treats)

Instead of multiplying Quantity of Bone-shaped treats by cost

7 0
3 years ago
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