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2 years ago

Add. (6x3+3x2−2)+(x3−5x2−3) pleaseeeeeee answer in standard form!!!!

Mathematics

1 answer:

Alex73 [517]2 years ago

4 0

I believe the answer is
7x^3-2x^2-5

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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

Fiona’s school has three hallways that make up three sides of a triangular building design. In the morning, Fiona walks 90 yards

lilavasa [31]

Answer:

"between 30 yards and 150 yards"

Step-by-step explanation:

Let one side of a triangle be x and another side be y. To find the possible lengths of the third side, it is given by:

Possible length of 3rd side would be between "x - y" and "x + y"

Here, given x = 90 and y = 60, so the possible length of 3rd side would be:

90 - 60 = 30,

90 + 60 = 150

Hence, in between 30 and 150

6 0

2 years ago

Read 2 more answers

9(x/3+1)>6 can you help me with this.

dybincka [34]

Answer:

the answer is 3 raised ro the third power

7 0

2 years ago

Read 2 more answers

the perimeter of a square clock is 16 6 / 9 inches.The perimeter of a rectangle clock is 16 16/18 inches. Write an inequality co

dlinn [17]

16 16/18 = 16 8/9

so the rectangular clock has a greater perimeter than the square one.

area rectangular clock > area square clock

16 8/9 > 16 6/9

3 0

3 years ago

How do you solve this problem

dmitriy555 [2]

Answer:

4.5 in

Step-by-step explanation:

IT si 4.5 inches because the scale factor is 1 inch to 4 feet, and 18/4 = 4.5 inches.

5 0

2 years ago