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V125BC [204]
3 years ago
6

Please help with this

Mathematics
1 answer:
Blizzard [7]3 years ago
5 0

The probability is 4:20

It is correct because there are 20 students and there could be 4 guesses

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Identify the vertex, axis of symmetry, minimum or maximum, domain, and range of the function f(
alekssr [168]

Identify the vertex, axis of symmetry, minimum or maximum, domain, and range of the function ()=−(+)^−

<em><u>Answer:</u></em>

vertex = (-4, -5)

Axis of symmetry = -4

use the (-4, -5) to find the minimum value

Domain = ( - \infty, \infty ) , [ x | x\ is\ real ]\\\\Range = [ -5, \infty ), y\geq -5

<em><u>Solution:</u></em>

Given function is:

f(x) = (x+4)^2 - 5

The equation in vertex form is given as:

y = a(x-h)^2+k

Where, (h, k) is constant

On comparing give function with vertex form,

h = -4

k = -5

Vertex is (-4 , -5)

Axis of symmetry : x co-ordinate of vertex

Thus, axis of symmetry = -4

The coefficient of x^2 is positive in given function.

Thus the vertex point will be a minimum

Minimum\ value = f(\frac{-b}{a})

f(x) = x^2 + 8x + 16 - 5\\\\f(x) = x^2 + 8x + 11

f(x) = ax^2+bx+c

On comparing,

a = 1

b = 8

x = \frac{-b}{2a} = \frac{-8}{2 \times 1} = -4

f(-4) = (-4)^2 + 8(-4) + 11 = 16 - 32 + 11 = -5

Thus, use the (-4, -5) to find the minimum value

Domain and range

f(x) = (x+4)^2 - 5

The domain is the input values shown on the x-axis

The range is the set of possible output values f(x)

Therefore,

Domain = ( - \infty, \infty ) , [ x | x\ is\ real ]\\\\Range = [ -5, \infty ), y\geq -5

4 0
3 years ago
Pls help!!!!!!!!!!!!!!!!
Zolol [24]

Answer:

23 degrees

Step-by-step explanation:

62+95=157

180-157=23

7 0
3 years ago
Read 2 more answers
Please please please help
Elina [12.6K]
Median of (72 82 92 93 94 97 98 102)
Median: 93.5
MAD : 7.125

Median of ( 53 59 64 65 65 66 67 69)
Median : 65
MAD : 3.75
4 0
2 years ago
Which graph represents the solution set of the compound inequality​
mr_godi [17]

Step-by-step explanation:

take into 2 sections

-5<a-4 and a-4<2

-1<a and a<6

therefore it should be the 2nd one

3 0
3 years ago
Find the slope of the line passing through the points (-8,-8) and (6,-8)
Anna11 [10]

Answer:

Slope = 0

So, the line is parallel to x-axis

Step-by-step explanation:

(x₁ , y₁) = (-8, -8)      & (x₂ ,y₂) = (6 , -8)

Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\\=\frac{-8-[-8]}{6-[-8]}\\\\=\frac{-8+8}{6+8}\\\\= 0

4 0
3 years ago
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