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2 years ago

Help me please and thanks;10 points a question

Mathematics

1 answer:

aleksley [76]2 years ago

5 0

28. 11 degrees

Here’s a number line^^

-1

-2

-3

-4

-5

-6

-7

11 number six! :)

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Which equation is y = –3x2 – 12x – 2 rewritten in vertex form? y = –3(x + 2)2 + 10 y = –3(x – 2)2 + 10 y = –3(x + 2)2 – 14 y = –

murzikaleks [220]

Y=-3(x+2)²+10 is the answer

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2 years ago

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Show an example of commutative property of addition

vaieri [72.5K]

For example, if we use 5+3=8.
If you change it to 3+5, it still equals 8.
Therefore, 3+5=5+3 because at the end, they both have equal value aka both end up with 8 using the same numbers. (goes by the rule a+b=b+a)

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2 years ago

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A jet ski company charges a flat fee of $24.00 plus $2.25 per hour to rent a jet ski. Another company charges a fee of $23.00 pl

Tju [1.3M]

Let

x----------> charge per hour to rent a jet sky in dollars

y----------> the total cost to rent a jet sky in dollars

we know that

<u>First Jet Sky Company</u>

$y=24.00+2.25x$ ---------> equation $1$

<u>Second Jet Sky Company</u>

$y=23.00+2.50x$ ---------> equation $2$

we know that

To find the number of hours for which the costs are the same

equate equation $1$ and equation $2$

The intersection both graphs is the solution of the problem

using a graph tool

see the attached figure

the intersection point is $(4,33)$

That means

For $x=4\ hours$

the cost of the rent is $y=\$33$ in both companies

therefore

<u>the answer is</u>

$4\ hours$

7 0

2 years ago

Air pressure may be represented as a function of height (in meters) above the

denis-greek [22]

Answer: OPTION C.

Step-by-step explanation:

<h3> The complete exercise is: "Air pressure may be represented as a function of height (in meters) above the surface of the Earth, as shown below:</h3><h3> $P(h) =P_0e^{-0.00012h}$ </h3><h3> In this function $P_o$ is the air pressure at the surface of the earth, and $h$ is the height above the surface of the Earth, measured in meters. At what height will the air pressure equal 50% of the air pressure at the surface of the Earth"</h3><h3></h3>

Given the following function:

$P(h) =P_0e^{-0.00012h}$

In order to calculate at what height the air pressure will be equal 50% of the air pressure at the surface of the Earth, you can follow these steps:

1. You need to substitute $P(h)=0.5P_o$ into the function:

$0.5P_o=P_0e^{-0.00012h}$

2. Finally, you must solve for $h$ .

Remember the following property of logarithms:

$ln(b)^a=a*ln(b)\\\\ln(e)=1$

Then, you get this result:

$0.5P_o=\frac{P_o}{e^{0.00012h}}\\\\(0.5P_o)(e^{0.00012h})=P_o\\\\e^{0.00012h}=\frac{P_o}{0.5P_o}\\\\ln(e)^{0.00012h}=ln(2)\\\\0.00012h*1=ln(2)\\\\h=\frac{ln(2)}{0.00012}\\\\h=5576.2$

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3 years ago

Greatest common factor of 18 and 42

Phantasy [73]

The greatest common factor of 18 and 42 would be 2.

6 0

2 years ago

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