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elena-s [515]
3 years ago
8

the function g(x) = 8x2 – 48x 65 written in vertex form is g(x) = 8(x – 3)2 – 7. what is the vertex of g(x)? (–3, –7) (3, –7) (2

4, –7) (–24, –7)
Mathematics
2 answers:
Mrac [35]3 years ago
8 0
G(x)=8(x-3)-7
The number in the parentheses has to be changed to positive 3.
You keep the number (-7) the same sign it already is. The vertex is (3,-7)
Alexandra [31]3 years ago
8 0

Answer:

option (2) is correct.

The vertex is (3 , -7)

Step-by-step explanation:

 Given: the function g(x) = 8x^2-48x+65 written in vertex form isg(x) = 8(x-3)^2-7.

We have to write the vertex form of g(x).

For a given quadratic function f(x)=ax^2+bx+c , we can rewrite it in vertex form  f(x)=a(x-h)^2+k , where (h , k) represents the vertex of the function f(x).

For the given quadratic function g(x) = 8x^2-48x+65 written in vertex form is g(x) = 8(x-3)^2-7.

On comparing , we get

h = 3 and k = -7

Thus, the vertex is (3 , -7)

Thus, option (2) is correct.

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Flying against the wind, an airplane travels 4340 kilometers in 7 hours. Flying with the wind, the same plane travels 3120 kilom
Over [174]

The rate of the wind is given to be 210 the rate of the plane in mid air is given as 830

<h3>Howe to solve for the rate of the plane and wind</h3>

In 7 hours the kilometer traveled =  4340

P + W = 4340/7

= 620

P-W = 3120/3 hours

= 1040

2p = 1040 + 620

= 1660

p =830

W = 1040 - 830

= 210

Hence the rate of the wind is given to be 210 the rate of the plane in mid air is given as 830

Read more on rate here

brainly.com/question/24304697

#SPJ1

3 0
1 year ago
Forty percent of households say they would feel secure if they had $50,000 in savings. you randomly select 8 households and ask
Kay [80]

Answer:

Let X be the event of feeling secure after saving $50,000,

Given,

The probability of feeling secure after saving $50,000, p = 40 % = 0.4,

So, the probability of not  feeling secure after saving $50,000, q = 1 - p = 0.6,

Since, the binomial distribution formula,

P(x=r)=^nC_r p^r q^{n-r}

Where, ^nC_r=\frac{n!}{r!(n-r)!}

If 8 households choose randomly,

That is, n = 8

(a) the probability of the number that say they would feel secure is exactly 5

P(X=5)=^8C_5 (0.4)^5 (0.6)^{8-5}

=56(0.4)^5 (0.6)^3

=0.12386304

(b) the probability of the number that say they would feel secure is more than five

P(X>5) = P(X=6)+ P(X=7) + P(X=8)

=^8C_6 (0.4)^6 (0.6)^{8-6}+^8C_7 (0.4)^7 (0.6)^{8-7}+^8C_8 (0.4)^8 (0.6)^{8-8}

=28(0.4)^6 (0.6)^2 +8(0.4)^7(0.6)+(0.4)^8

=0.04980736

(c) the probability of the number that say they would feel secure is at most five

P(X\leq 5) = P(X=0) + P(X=1) + P(X=2) + P(X=3) + P(X=4) + P(X=5)

=^8C_0 (0.4)^0(0.6)^{8-0}+^8C_1(0.4)^1(0.6)^{8-1}+^8C_2 (0.4)^2 (0.6)^{8-2}+8C_3 (0.4)^3 (0.6)^{8-3}+8C_4 (0.4)^4 (0.6)^{8-4}+8C_5(0.4)^5 (0.6)^{8-5}

=0.6^8+8(0.4)(0.6)^7+28(0.4)^2(0.6)^6+56(0.4)^3(0.6)^5+70(0.4)^4(0.6)^4+56(0.4)^5(0.6)^3

=0.95019264

8 0
3 years ago
Help PLEASE ive been stuck on this forever!
AlekseyPX

Answer:

1/5

Step-by-step explanation:

2/10=1/5

4 0
3 years ago
PLZ HELP 10 POINTS
vaieri [72.5K]

Congruent means there's exact shape and angle magnitude since transformation requires relocation of an image there's no change to it's shape therefore it's congruent

5 0
3 years ago
Read 2 more answers
What is x? I will give brainliest if you explain your answer.
horsena [70]

Answer:

  • x =  {0, π/2, 3π/2, 2π}

Step-by-step explanation:

  • cotx cos x - cot x = 0
  • cotx( cosx - 1) = 0

1. <u>cotx = 0</u>

  • x = π/2 + πn
  • In the interval [0, 2π] we have π/2 and 3π/2

2. <u>cosx = 1</u>

  • x  = 0 + 2πn
  • In the given interval we have 0 and 2π

<u>So the solution set is:</u>

  • x =  {0, π/2, 3π/2, 2π}

3 0
2 years ago
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