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shtirl [24]
3 years ago
12

Which y values are represented on the graph below?

Mathematics
1 answer:
Zanzabum3 years ago
3 0
..........................
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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
Consider the matrix being multiplied by - 7.
Elis [28]

Answer:

457

Step-by-step explanation:

8 0
2 years ago
6+2x+4(x+5) <br><br><br><br> Please ASAP and you get points b
Zanzabum
Factor is 2(13+3x)
Simplify is 26+6x
6 0
3 years ago
Math people i really need help
larisa [96]

Step-by-step explanation:

explained in the photo

6 0
2 years ago
How to find a,b and c
alina1380 [7]
33/54 = 44/(a+44)
33(a+44) = 44*54
33a+ 1452 =  2376
33a = 924
    a = 28

c = sqrt (33^2 + 44^2)
c = sqrt(1089 + 1936)
c = sqrt(3025)
c = 55

33/54 = 55/(b+55)
33(b+55) = 55*54
33b+ 1815 =  2970
33b = 1155
    b = 35

answer
a = 28, b = 35, c = 55
3 0
3 years ago
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