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aksik [14]
3 years ago
8

In what ways does adding a constant or coefficient to a quadrationc affect the graph

Mathematics
1 answer:
Roman55 [17]3 years ago
3 0
Hope this helps <span>1)   </span><span>Equations with negative values for a</span><span> produce graphs that open down and equations with a positive values for a</span> produce graphs that open up.

<span>2)<span>   </span></span><span>As the absolute value of a gets larger our graphs become more narrow (they shoot towards positive or negative infinity faster). This is more interesting than it might appear. If you consider the second derivative of any quadratic it will be the a</span><span> value. The second derivative represents acceleration, so the larger the a value the faster the increase of velocity and accordingly a quicker progression towards positive or negative infinity. Check this out in graphing calculator, press play to vary the value of a from -20 to 20. Notice that when the value of a approaches zero, the approximates a line, and of course when a is 0 we have the line y</span><span> = 2x</span><span> – 1.</span>

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Answer:

94.56

Step-by-step explanation:

because 94,56 x 11.5 x 5 =4300

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3 years ago
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Factor completely x^3 + 1/8
maksim [4K]

Answer:

((2 x + 1) (4 x^2 - 2 x + 1))/8

Step-by-step explanation:

Factor the following:

x^3 + 1/8

Put each term in x^3 + 1/8 over the common denominator 8: x^3 + 1/8 = (8 x^3)/8 + 1/8:

(8 x^3)/8 + 1/8

(8 x^3)/8 + 1/8 = (8 x^3 + 1)/8:

(8 x^3 + 1)/8

8 x^3 + 1 = (2 x)^3 + 1^3:

((2 x)^3 + 1^3)/8

Factor the sum of two cubes. (2 x)^3 + 1^3 = (2 x + 1) ((2 x)^2 - 2 x + 1^2):

((2 x + 1) ((2 x)^2 - 2 x + 1^2))/8

1^2 = 1:

((2 x + 1) ((2 x)^2 - 2 x + 1))/8

Multiply each exponent in 2 x by 2:

((2 x + 1) (2^2 x^2 - 2 x + 1))/8

2^2 = 4:

Answer:  ((2 x + 1) (4 x^2 - 2 x + 1))/8

5 0
3 years ago
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In the recent year 18.2% of all registered doctors were females. If there were 57,000 females registered doctors that year what
harina [27]
Your equation is

0.194*x = 43400,

where x is the unknown total number of registered doctors, which is under the question.

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4 0
2 years ago
A large pizza has a diameter of 14 inches. A medium pizza has a diameter of 10 inches. How much larger is the area of the large
Arte-miy333 [17]

Answer:

The bigger pizza has a diameter of 14 inches, or a radius of 14 / 2 = 7 inches.

The smaller pizza has a diameter of 12 inches, or a radius of 12 / 2 = 6 inches.

Step-by-step explanation:

The area of a circle is πR2 where R is the radius.

The difference in the size of the pizzas is  

Area of bigger pizza - Area of smaller pizza

= π(7 inches)2 - π(6 inches)2 = = 49π inches2 - 36π inches2 = 13π inches2  

7 0
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