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3 years ago

What is the variable of x?

Mathematics

1 answer:

bogdanovich [222]3 years ago

3 0

The variable for x is twenty eight

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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

Nate is constructing a tangent line to a circle he drew from a point outside the circle. Once he has the circle and the point is

Tema [17]

Answer:

The next step is to find the point on the circle which makes a tangent line that passes through the outside point.

Step-by-step explanation:

A tangent line to a circle is a line that touches the circle at exactly one point. You need two points to draw a line. You already have one point and the circle, then you need the other point, which lies on the circle. These two points have to lie on the same line. Notice that there are two possible tangent lines.

8 0

3 years ago

15/4 divided by -5/8 equals?

kolezko [41]

Answer:

-6

Step-by-step explanation:

15/4 ÷ -5/8

Copy dot flip

15/4 * -8/5

Rewrite

15/5 * -8/4

3 * -2

-6

5 0

3 years ago

Read 2 more answers

4x + 6 = 8x – 10 graphing

DIA [1.3K]

Are you graphing or trying to find the answer

8 0

4 years ago

Read 2 more answers

The distance from Kenya's house to her job is 18 miles. One morning she left her house at 7:15 a.m. She traveled at the rate of

Snezhnost [94]

20 minutes = 1/3 of an hour

1/3 = 0.333

1/3 x 45mph = 15, so she drove 15 miles at 45mph

18-15 = 3

3 miles/ 20 mph = 0.15 hours

0.333+0.15 = 0.483 hours total

0.483 x 60 = 28.98 so approximately 29 minutes total driving time

7:15 + 29 minutes is 7:44 am she arrived at work

8 0

3 years ago