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USPshnik [31]
2 years ago
14

How to solve |3+x| -5 = -3

Mathematics
1 answer:
Irina-Kira [14]2 years ago
5 0
To solve for x, you first add 5 to both sides so it remains equal.

3 + x = 2

Then you simply subtract 3 on both sides.

x = -1

Substitute your solution into the equation and see it is true.

|3+(-1)) - 5 = -3

The equation is true, therefore your answer is: x = -1
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Please help me answer this question. Show steps and explain
salantis [7]

Your problem statement makes no reference to p or q, so we can only guess that "p/q" refers to the ratio of the lowest- and highest-degree coefficients:

... -6/1

Then the factors of p/q are the factors of 6, with either sign.

Factors of p/q: ±1, ±2, ±3.

There are a number of ways the factors can be tested. To test 1, simply add the coefficients. (The sum is -8.) To test -1, subtract the sum of odd-degree coefficients from the sum of even-degree coefficients. (The difference is 0.)

Knowing that -1 is a root of the function, you can use synthetic division to find the quadratic factor. (See the first attachment for the work.) Then you have ...

... f(x) = (x +1)(x² +x -6)

You can continue to test the factors of p/q, or you can factor the quadratic to get ...

... f(x) = (x +1)(x -2)(x +3)

Another way to test the factors is to program your graphing calculator to evaluate the function f(x) for those factors. The result from my TI-84 is shown in the second attachment. That shows f(x) = 0 for x = -3, -1, and +2.

Test the factors: f({-3, -2, -1, 1, 2, 3}) = {0, 4, 0, -8, 0, 24}

This tells you the x-intercepts.

X-intercepts: -3, -1, 2

Of course, the y-intercept is just the constant in the function—the value of the function when x=0.

Y-intercept: -6

As with any odd-degree polynomial with a positive leading coefficient, the overall behavior looks like "/". That is ...

End behaviors: f(x) goes to -∞ as x goes to -∞; f(x) goes to +∞ as x goes to +∞.

_____

A graph of f(x) is shown in the third attachment. (Graphing calculators make it easy to use graphing to find x-intercepts.)

3 0
3 years ago
Jake plans to use a ramp to make it easier to move a piano out of the back of his truck. The back of the truck is 83 centimeters
storchak [24]

Answer:

134.4 centimeters

Step-by-step explanation:

This question is asking us for a missing leg on the triangle, lets call it x. Using the Pythagorean theorem (a²+b²=c²), we can figure out what value is missing (either a or b, they are interchangeable).

replace the values in the equation.

83²+x²=158²

get rid of the exponents.

6,889+ x² = 24,964.

subtract 6,889 from 24,964.

x²=18,075.

find the square root on both sides of the equation.

x=134.4432966.

I am assuming you want this rounded to the nearest tenth.

134.4 is your answer.

Read more on Brainly.com - brainly.com/question/14113423#readmore

8 0
3 years ago
What number is 25 percent of 400
kaheart [24]
25 percent of 400= 100
8 0
3 years ago
Read 2 more answers
279,936 cubic inches to cubic feet
Otrada [13]

Answer:

162

Step-by-step explanation:

Divide the value by 1728 and you get your answer of 162. Hope this was helpful. :)

3 0
3 years ago
Read 2 more answers
Calculate eg <br> a. 2√6 <br> b. √55 <br> c. √73 <br> d. 4.125
Diano4ka-milaya [45]
A. 4.898979486 
b. 7.416198487
c. 8.544003745
i think at least 
5 0
3 years ago
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