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Natasha2012 [34]
3 years ago
13

Solve the equation using factoring polynomials. (z+5)2z

Mathematics
1 answer:
Mkey [24]3 years ago
6 0
(x + 5)²z
(x + 5)(x+ 5)z
(x² + 5x + 5x + 25)z
(x² + 10x + 25)z
(x²)z + (10x)z + (25)z
x²z + 10xz + 25z
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PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!! <br><br> What is (f/g)(x) ?
Rudiy27

Answer:   \bold{D.\ \dfrac{x+4}{x}\ where\ x \neq 0, \dfrac{2}{3}}

<u>Step-by-step explanation:</u>

f(x) = 3x² + 10x - 8

g(x) = 3x² - 2x


\dfrac{f(x)}{g(x)}=\dfrac{3x^2+10x-8}{3x^2-2x}=\dfrac{(3x-2)(x+4)}{x(3x-2)}=\dfrac{x+4}{x}

Restriction on x: the denominator cannot be equal to zero. So,

    x(3x - 2) ≠ 0  

→  x ≠ 0     and     3x - 2 ≠ 0

                             3x       ≠ 2

                               x       \neq \dfrac{2}{3}


8 0
3 years ago
Sara takes 1/6 of an hour to vacuum his moms car it takes 4 times that long to wash the car then it takes you to wax the car twi
Nataly [62]
<h2>Answer:</h2><h2>2 hours & 10 minutes </h2><h2>Step-by-step explanation:</h2><h2>1/6 of an hour is 10 minutes. She vacuumed for 10 minutes. It took 4 times as long to wash the car so 10 * 4 = 40. She washed the car for 40 minutes. It took her twice as long to wax the car as it did for her to wash it so 40 * 2 = 80. She waxed the car for 80 minutes. 10 + 40 + 80 = 130 minutes or 2 hours and 10 minutes. </h2>
3 0
3 years ago
Mike forgot to replace the cap on a bottle of room freshener. The room freshener began to evaporate at the rate of 15% per day.
Serggg [28]
For this case we have a function of the form:
 y = A * (b) ^ x&#10;
 Where,
 A: initial amount
 b: decrease rate
 x: time in days
 Substituting values we have:
 y = 40 * (0.85) ^ x&#10;
 Therefore, the graph of the function is a decreasing exponential function in the first quadrant and that has an initial value of 40.
 Answer:
 
graph of exponential function going from left to right in quadrant 1 through the point 0, 40 and approaching the x axis
7 0
3 years ago
A regular polygon could not have an interior angle measure of _____.
zimovet [89]

Answer:

A. 45°

Step-by-step explanation:

The smallest interior angle measure of any regular polygon is that of an equilateral triangle: 60°.

___

The corresponding exterior angle measure for interior angle x will be its supplement: 180° -x. This value must be a divisor of 360° 360° is not evenly divisible by 180°-45°=135°.

3 0
4 years ago
In order to circumscribe a circle on a triangle, which line must you construct?
SIZIF [17.4K]
<span>D) perpendicular bisector <em>I believe.
</em></span>
6 0
3 years ago
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