Help timed quizzes giving !!

A quadratic equation is shown below:

sweet [91]

Answer:

Part A:

( 1.8333, -0.08333)

Part B:

x = 2 or x = 5/3

Step-by-step explanation:

The quadratic equation

$3x^{2}-11x+10=0$ has been given.

Part A:

We are required to determine the vertex. The vertex is simply the turning point of the quadratic function. We shall differentiate the given quadratic function and set the result to 0 in order to obtain the co-ordinates of its vertex.

$\frac{d}{dx}(3x^{2}-11x+10)=6x-11$

Setting the derivative to 0;

6x - 11 = 0

6x = 11

x = 11/6

The corresponding y value is determined by substituting x = 11/6 into the original equation;

y = 3(11/6)^2 - 11(11/6) + 10

y = -0.08333

The vertex is thus located at the point;

( 1.8333, -0.08333)

Find the attached

Part B:

We can use the quadratic formula to solve for x as follows;

The quadratic formula is given as,

$x=\frac{-b+/-\sqrt{b^{2}-4ac } }{2a}$

From the quadratic equation given;

a = 3, b = -11, c = 10

We substitute these values into the above formula and simplify to determine the value of x;

$x=\frac{11+/-\sqrt{11^{2}-4(3)(10) } }{2(3)}=\frac{11+/-\sqrt{1} }{6}\\\\x=\frac{11+/-1}{6}\\\\x=\frac{11+1}{6}=2\\\\x=\frac{11-1}{6}=\frac{5}{3}$

6 0

3 years ago

If the MAD for a forecast is 3.2, we can say that a. The forecast is 3.2 units too high on the average b. The forecast is 3.2 un

Rudik [331]

Answer:

The forecast is accurate within plus or minus 3.2 units

Step-by-step explanation:

Mean Absolute Deviation is a statistical measure of dispersion from forecast. It measures accuracy level of predicted forecast, by averaging the difference between absolute value of each error from forecasted value.

MAD for a forecast states that : Forecast is accurate within the expected range variation of Mean Absolute Deviation.

So : If the MAD for a forecast is 3.2, we can say that - The forecast is accurate within plus or minus 3.2 units

3 0

3 years ago

A company that offers tubing trips down a river rents tubes for a person to use and "cooler" tubes to carry food and water. A gr

mestny [16]

Answer: the group rented 11 Person tubes and 4 cooler tubes

Step-by-step explanation:

There are two types of tubes, Person tube and cooler tube.

Let P represent number of Person tubes that the group rented.

Let C represent number of Cooler tubes that the group rented.

The group spends $270 to rent a total of 15 tubes and Person tube $20 Cooler tube $12.50. Two linear equations can be derived from the above information

P + C = 15 - - - - - - - 1

20P + 12.5C = 270 - - - -- - - 2

Substituting P = 15 - C into equation 2,

It becomes

20(15-C) + 12.5C = 270

300 - 20C + 12.5C = 270

- 20C + 12.5C = 270 -300

7.5C = - 30

C = 30/7.5 = 4

P = 15 - C

P = 15 - 4 = 11

7 0

4 years ago

A Turtle Crawled 0.06617 kilometers. How many millimeters is this?

Paul [167]

Answer:

66170 mm

Step-by-step explanation:

0.06617 km * 1000 km/m * 1000 m/mm = 66170 mm

4 0

3 years ago

×square minus3× minus 10=0

nika2105 [10]

X²-3x-10=0
x²-(5-2)x-10=0
x²-5x+2x-10=0
x(x-5)+2(x-5)
(x-5)(x+2)

6 0

3 years ago