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3 years ago

Please answer this correctly

Mathematics

1 answer:

Ilia_Sergeevich [38]3 years ago

5 0

Answer:

9/49

Step-by-step explanation:

The probability of landing on an even number is 3/7.

Because there are only 3 numbers even out of 7 total numbers.

$3/7 \times 3/7$

$= 9/49$

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Evaluate the expression 3(x - 1)' + 2x - 7 for = 3,

Marizza181 [45]

Answer and step-by-step explanation:

Break the bracket out would be the first step to evaluate this expression:

3(x-1)

= 3x - 3

Hope this helped :3

4 0

3 years ago

What the volume is of this solid

mrs_skeptik [129]

Answer:

336.

Step-by-step explanation:

8 x 7 x 6 = 336.

Feel free to let me know if you need more help! :)

5 0

2 years ago

Y=-x^2+6x-4 Find the Axis of Symmetry and the Vertex, Also solve the whole equation.

Inessa [10]

Answer:

1. Axis of symmetry: x = 3

2. Vertex: (3,5)

3. Solution of the equation:

x-intercepts:

$(3-\sqrt{5},0) \\\\(3+\sqrt{5},0)$

y-intercept: (0, -4)

Explanation:

1. Equation:

$y=-x^2+6x-4$

2. Axis of symmetry:

That is the equation of a parabola, whose standard form is:

$y=ax^2+bx+c$

Where:

$a=-1;b=6;c=-4$

The axis of symmetry is the vertical line with equation:

$x=-b/2a$

Substitute $a=-1,\text{ and }b=6$

$x=-6/[(2)(-1)]=-6/(-2)=3$

Thus, the axis of symmetry is:

$x=3$

3. Vertex

The x-coordinate of the vertex is equal to the axys of symmetry, i.e x = 3.

To find the y-xoordinate, substitute this value of x into the equation for y:

$y=-x^2+6x-4\\\\y=-(3)^2+6(3)-4=-9+18-4=5$

Therefore, the vertex is (3, 5)

4. Find the x-intercepts

The x-intercepts are the roots of the equation, which are the points wher y = 0.

$y=-x^2+6x-4=0$

Use the quadratic equation:

$x=\frac{-b\pm \sqrt{b^2-4ac} }{2a} \\\\x=\frac{-6\pm\sqrt{(-6)^2-4(-1)(-4)} }{2(-1)}\\\\x_1=3-\sqrt{5} \\\\x_2=3+\sqrt{5}$

5. Find the y-intercept

The y-intercet is the value of y when x=0:

$y=-x^2+6x-4\\\\y=-(0)^2+6(0)-4=-4$

7 0

3 years ago

PLEASE HELP (50 points)

rjkz [21]

Answer:

Yes

Step-by-step explanation:

y=x+6 is the slope. (1,7) is 2 right and 2 up from (3,9)

6 0

3 years ago

Hey guys I need help

Gemiola [76]

Answer:

20.8

Step-by-step explanation:

7 0

2 years ago