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3 years ago

Mason was ordering the following rational numbers in math class: -3.3, -15, -8 8/9.

Mathematics

1 answer:

lana [24]3 years ago

8 0

Answer:

a) order the number from least to greatest

8/9> -3.3 > -8 > -15

b) absolute value

|8/9| = 8/9

|-3.3| = 3.3

|-8| = 8

|-15| = 15

order 15 > 8 > 3.3 > 8/9

c) difference in the order in part (a) and (b) is because larger value with negative sign is the smallest.

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Each friend will equally get 2 and 1/2 cookies.

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3 years ago

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Maurinko [17]

Hey i think the only mistake i caught was when you put 3 points under the line mark instead of only needing 2.
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3 years ago

The vertex of a parabola is (3,-2) and another point on the parabola is (2,3) find the equation of the parabola in vertex form

jonny [76]

Answer:

$y = 5 ( x - 3 ) ^2 -2$

$y+2= 5 ( x - 3 ) ^2$

Step-by-step explanation:

Vertex form of a parabola is given as:

$y = a ( x - h ) ^2 + k$

Where ( $h,k$ ) is the vertex and $(x,y)$ are the points on the parabola.

We are given that, the vertex is (3, -2) and another point on parabola is given as (2, 3).

$h = 3,k = -2$

First of all, putting the vertex in the vertex equation as given above:

$y = a ( x - 3 ) ^2 + (-2)$

Now, putting the values of $x, y$ as 2, 3 and let us find the unknown variable $a$ :

$3 = a ( 2 - 3 ) ^2 + (-2)\\\Rightarrow 3 = a -2\\\Rightarrow a = 5$

Therefore, the equation in vertex form can be written as:

$y = 5 ( x - 3 ) ^2 -2$

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3 years ago

Find x if a] 5^x=625 root 5 b] 3^2x-1 = 243

katen-ka-za [31]

x=3, you can find this by using finding common bases for equation b because 243=3^5. Because of that you can get rid of three on both sides to get the equation 2x-1=5 and then just solve for x to get x=3. For the first equation 5^3=625 so that also proves x=3.

Sorry if my explanation is a little disorganized if you need more help feel free to ask

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3 years ago

River rambler charges $25 per day to rent a kayak. How much will it cost to rent a kayak for 5 days? Write and solve an equation

Sati [7]

Answer:

C=25d

Step-by-step explanation:

We write an equation where C or cost is my output and d or days is my input. I should be able to put in any number of days and find the cost. Let's gather some data:

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Day 1 $25(1)=25 cost

Day 2 $25(2)=50 cost

Day 3 $25(3)=75 cost

Day d $25(d)=C.

Our equation is C=25d.

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4 years ago