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Sever21 [200]
3 years ago
15

-4=3p-p Show steps how to solve for x

Mathematics
1 answer:
andriy [413]3 years ago
3 0
<span><span>−4</span>=<span><span>3p</span>−p</span></span>Step 1: Simplify both sides of the equation.<span><span>−4</span>=<span><span>3p</span>−p</span></span><span><span>−4</span>=<span><span><span>3p</span>+</span>−p</span></span><span><span>−4</span>=<span>(<span><span>3p</span>+<span>−p</span></span>)</span></span>(Combine Like Terms)<span><span>−4</span>=<span>2p</span></span><span><span>−4</span>=<span>2p</span></span>Step 2: Flip the equation.<span><span>2p</span>=<span>−4</span></span>Step 3: Divide both sides by 2.<span><span><span>‌<span><span>2p</span>2</span></span>‌</span>=<span><span>‌<span><span>−4</span>2</span></span>‌</span></span><span>p=<span>−2</span></span>Answer:<span>p=<span>−2</span></span>
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<h3>What is a function?</h3>

The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.

The air quality index (AQI) is given by the function.

\rm n = 1.76t^2-13.32 +41

Where n be the number of days the AQI exceeds 100 in a given year.

For \rm t = -2, then we have

\rm n = 1.76(-2)^2-13.32(-2) +41\\\\n = 7.04+26.64+41\\\\n = 74.68 \approx 75

More about the function link is given below.

brainly.com/question/5245372

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zubka84 [21]
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3 years ago
Using the WASA, USA task if the measure of angle 32 is 118 degrees. Find
Karo-lina-s [1.5K]

Step-by-step explanation:

The first step is to locate and define the variables.

We are working with complementary angles which  are "either of two angles whose sum is 90°".  Therefore, our job is to find the degrees of 2 angles. We want to determine the algebraic equation for the sum of these two angles, we need a variable representing the second, complementary angle, let's say x. Next, let's use the information provided to write only the expression.

It states "an angle measures 32 degrees MORE THAN the measure of its complementary angle". Whenever we see the words "more than" we know we will be adding. If the complementary, second angle is represented as the variable x, then 32 more than x (x + 32) represents the first angle measure.  

To summarize what we have so far:

x+32 = (is) the value of the FIRST angle measure

x = (is) the value of the SECOND angle measure

We know that when these two angles are added TOGETHER they equal 90°

Therefore, x + 32 + x = 90° . But we aren't done yet! We have to solve for x in order to find the measure of BOTH angles:  

x + 32 + x = 90°  Our algebraic equation for this word problem

2x + 32 = 90°   Combine like terms  

 2x = 58   Subtract 32 from both sides of the equation, so that variables are on one side and              constants on the other side.

   x = 29°   Divide by 2 on both sides of the equation (we want to solve for x)

Now that we have solved for x, the measure of the SECOND, complementary angle, we can solve for the first angle.  

x+32 = (is) the value of the FIRST angle measure

29 + 32 = 61°   substitute x for its value, 29

Lastly, Check your work:  

29 + 61 = 90°  

90° = 90° ✓

6 0
3 years ago
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