Using the equation y=ax^2+bx+c to represent a parabola on a graph, which statement is true?1) If b is negative, the parabola opens downward
2) If a is negative, the parabola opens upward
3) If a is positive, the parabola open upward
4) If c is negative, the parabola opens downward

Answers

Answer 1

Answer: Tha answer is 3) if a is positive, the parabola opens upward. You can see that when you imagine what happens when x is large. In that case bx + c is small compared to ax^2, and the value of the function is dominated by the terms ax^2. x^2 is positive always, so the sign of ax^2 is given by a. Then if a is positive the extreme values of the function (x positively large and x negatively large) are positive, which is the case when the parabola opens upward.

Related Questions

A student heats 100 g of aluminum to 60°C. He places it in 100 g of water at 20°C. Over time, what will most likely happen?a. The water's temperature will increase slightly, and the metal's temperature will decrease a lot. b. The water's temperature will increase a lot, and the metal's temperature will decrease slightly. c. The water's temperature will decrease slightly, and the metal's temperature will increase a lot. d. The water's temperature will increase by about the same amount as the metal's temperature decreases.
A pool shaped like a rectangle prism is 40 feet long 20 feet wide and 4 feet deep attached to the side of the pool is a hot tub with 1/4 the volume of the pool what is the total volume of the pool and hot tub?
Which choice is equivalent to the expression below when x 0?√18X^30-√9X^3+3√X^3-√2X^3A.2√2XB.4√XC.2X√2XD.√10X^3
5/8 - 3/4 (8 - 1/3) + 1
Lexie worked for 5 hours and 30 minutes. How should she write it on her time card? A. 5.25 B. 5.3 C. 5.5 D. 5.75

Can someone please help me ?

Answers

a + b = 1013;
a - b = 9;
2a = 1022 => a = 511; b = 502;

Will upvoteChoose the correct simplification of the expression a to the 12th power times b to the 8th power all over a to the 2nd power times b to the 4th power.

a10b4

a6b2

1 over a to the 10th power times b to the 4th power

1 over a to the 14th power times b to the 12th power

Answers

$(a^(12)b^(8))/(a^(2)b^(4))$

remember
(ab)/(cd)=a/c times b/d

also $(x^(m))/(x^(n))= x^(m-n)$

split it up with like terms

$(a^(12))/(a^(2))$ times $(b^(8))/(b^(4))$

do subtraction
for a's
12-2=10

b's
8-4=4

answe is $a^(10)b^(4)$

first one

Answer:

the first one. a^10b^4

Step-by-step explanation:

i just took the test and double checked it :)

A sphere has a radius of 5cm what is the volume of the sphere

Answers

Answer:

$(500)/(3)\pi$

Step-by-step explanation:

The equation for Volume of a Sphere is:

$V=(4)/(3)\pi r^3$

We can plug in the given radius into the equation:

$V=(4)/(3)\pi5^3=(4)/(3)\pi125=(500)/(3)\pi$

A Gallup survey showed that in March 2011, 8 of every 25 employers in the United States were adding more workers to their workforce, 9 of 50 were reducing their workforce, and 1 of 2 were keeping it the same. If there were 1250 employers in one metropolitan area, and those who were hiring planned to hire an average of 7 new employees, how many new jobs were about to become available?

Answers

Final answer:

By applying the provided ratio of hiring employers to the total number of employers, and then multiplying by the average number of new hires per employer, we can conclude that an estimated 2800 new jobs were about to become available in this metropolitan area.

Explanation:

To solve this problem, we must note that 8 in 25 employers were planning to add more employees. This is a ratio of 8/25. With a total of 1250 employers in the area, we can calculate the number of employers that are hiring by multiplying this ratio by the total number of employers: (8/25)*1250 = 400 employers. Each of these employers was set to hire an average of 7 new employees, so we multiply the number of employers hiring by the average number of new hires: 7 new employees * 400 employers = 2800 new jobs. Thus, 2800 new jobs were about to become available in this area.