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Trava [24]
3 years ago
11

Six and one-third less a number

Mathematics
1 answer:
aleksley [76]3 years ago
4 0

Answer:

6 1/3 - x

Step-by-step explanation:

The x represents the unknown number

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Graph f(x) =-2x^+16x-30 by factoring to find the solutions, then find the coordinates of the vertex, and the axis of symmetry. I
fredd [130]

Answer:

<em>Observe attached image</em>

<em>Function zeros:</em>

(3, 0), (5, 0)

<em>Vertex:</em>

(4, 2)

<em>Axis of symmetry:</em>

<em>x =4</em>

Step-by-step explanation:

<u>First factorize the function</u>

f (x) = -2x ^ 2 + 16x-30

<em>Take -2 as a common factor.</em>

-2(x ^ 2 -8x +15)

<em>Now factor the expression x ^ 2 -8x +15</em>

You must find two numbers that when you add them, obtain the result -8 and multiplying those numbers results in 15.

These numbers are -5 and -3

Then we can factor the expression in the following way:

f (x) = -2(x-5)(x-3)

<em><u>The quadratic function cuts the x-axis at </u></em><em>x = 3 and at x = 5.</em>

Now we find the coordinates of the vertex.

For a function of the form ax ^ 2 + bx + c the x coordinate of its vertex is:

x = \frac{-b}{2a}

In the function f (x) = -2x ^ 2 + 16x-30

a = -2\\b = 16\\c = 30

<u>Then the vertice is:</u>

x = \frac{-16}{2(-2)}\\\\x = 4

The y coordinate of the symmetry axis is

y = f (4) = -2 (4) ^ 2 +16 (4) -30\\\\y = 2

The axis of symmetry is a vertical line that cuts the parabola in two equal halves. This axis of symmetry always passes through the vertex.

<u>Then the axis of symmetry is the line</u>

x = 4

<u>The solutions and the vertice written as ordered pairs are:</u>

<em>Function zeros:</em>

(3, 0), (5, 0)

<em>Vertex:</em>

(4, 2)

6 0
3 years ago
Will give Brainliest! if right!
Bogdan [553]
There are 11 letters in total.
T & B 
T = 1/11
B = 2/11
The total probability is 3/11.
6 0
3 years ago
Mark made a scale drawing of a soccer field, using a scale of .5 cm=1m. The actual length of the field is 110 m. What is the len
VikaD [51]

Answer:

The length of the field on the drawing is <u>55 cm</u> that is option <u>D</u>.

Step-by-step explanation:

Given:

Mark made a scale drawing of a soccer field, using a scale of .5 cm=1 m.

The actual length of the field is 110 m.

Now, to find the length of the field on the drawing.

Let the length of the field on drawing be x\ cm.

As given,

Drawing of a soccer field, using a scale of 0.5 cm=1 m.

So, 0.5 cm is equivalent to 1 m.

Thus, x\ cm is equivalent to 110 m.

Now, to get the length of the field on the drawing by using cross multiplication:

\frac{0.5}{1} =\frac{x}{110}

By cross multiplying we get:

55=x

x=55\ cm

Therefore, the length of the field on the drawing is 55 cm that is option D.

7 0
3 years ago
PLEASE HELP ME ASAP
4vir4ik [10]
Pretty sure it’s b, good luck
8 0
3 years ago
If 5x - 8 = 37, then x = 9.​
lyudmila [28]

Answer:

true

Step-by-step explanation:

5x-8=37

5(9)-8=37

45-8=37

37=37

8 0
3 years ago
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