Marking brainliest Please help

WHOEVER GETS RIGHT GETS BRAINLIEST!!

ozzi

Answer:

Answer B: min. value at -6

Step-by-step explanation:

Complete the square of f(x) = x^2 - 2x - 5.

Note: Please use " ^ " to denote exponentiation, as shown.

Start with f(x) = x^2 - 2x - 5.

Identify the coefficient of the x term: it is 2.

Take half of that and square your result: (1/2)(2) = 1, and then 1^2 = 1.

Add and subtract this 1 between the 2x term and the constant term:

f(x) = x^2 - 2x + 1 - 1 - 5

Rewrite x^2 - 2x + 1 as a perfect square:

f(x) = (x - 1)^2 - 1 - 5, or f(x) = (x - 1)^2 - 6

Compare this to the standard form

f(x) = (x - h)^2 + k

We see that h = 1 and k = -6.

The vertex is located at (h, k); here, it's located at (1, -6).

Thus, the minimum value of this function is at the vertex (1, -6).

This agrees with Answer B: min. value at -6.

3 0

3 years ago

Of the following equations below, which equation represents a direct variation between x and y?

spin [16.1K]

Answer:

C. y +3 = x +3

Step-by-step explanation:

We need to find in below option x has direct variation with y.

We solve for each;

A. $2y = 3x-7$

From above equation we can state that 2 times y is equal to 7 less than 3 times of x.

Hence it doesn't represent direct variation.

B. $y-4 = x+6$

Solving above expression we get;

$y-4 = x+6\\y = x+6+4\\y=x+10$

From above equation we can state that y is equal to 10 more than x.

Hence it doesn't represent direct variation.

C. $y+3 = x+3$

Solving above expression we get;

$y+3 = x+3\\y = x+3-3\\y=x$

From above equation we can state that y is equal to x.

Hence it represent direct variation.

D. $4y+1 = 4x-1$

Solving above expression we get;

$4y+1 = 4x-1\\4y = 4x-1-1\\4y=4x-2$

From above equation we can state that 4 times y is equal to 2 less than 4 times of x.

Hence it doesn't represent direct variation.

Hence the Answer which represent direct variation of x and y is,

C. $y+3 = x+3$

7 0

3 years ago

Mr. Nelson lost one of his students' test

amid [387]

Complete question :

Mr. Nelson lost one of his students' test papers. He knows that the other 4 students scored as follows: 60, 62, 56, 57. He also knows that the average score is 59.2. What is the score on the missing paper?

Answer:

61

Step-by-step explanation:

Given the following :

Total number of students = 4 + 1 missing = 5

Score on the four avaliable papers = 60, 62, 56, 57

Average score of the 5 papers = 59.2

Score on missing paper :

Sum of each score / number of papers

Sum of each score = sum of available scores + missing score

Let missing score = m

(60 + 62 + 56 + 57 + m) = 235 + m

Recall:

Average = total sum / number of observations

Hence,

59.2 = (235 + m) / 5

59.2 × 5 = 235 + m

296 = 235 + m

m = 296 - 235

m = 61

Missing score = 61

6 0

3 years ago

The system of equations y = - 2x + 3 and y = xis graphed. What is the solution to the system of equations ?

nata0808 [166]

Answer:

(1,1)

Step-by-step explanation:

we have

$y=-2x+3$ ----> equation A

$y=x$ ----> equation B

we know that

The solution of the system of equations is the intersection point both graphs

The intersection point both graphs is the point (1,1)

see the given graph

therefore

The solution is the point (1,1)

Remember that

if a ordered pair is a solution of a system of equations then the ordered pair must satisfy both equations of the system

Verify

Substitute the value of x=1 and y=1 in each equation and analyze the result

Equation A

$1=-2(1)+3$

$1=1$ ---> is true

so

The ordered pair satisfy the equation A

Equation B

$1=1$ ---> is true

so

The ordered pair satisfy the equation B

therefore

The ordered pair (1,1) is a solution of the system because satisfy both equations

5 0

3 years ago

Read 2 more answers

Area= 60 cm width 5cm what is the length and width

Anna [14]

Answer:

length = 12 cm | width = 5 cm

Step-by-step explanation:

You already know the width is 5 cm. So now just divide 5 from 60 to get the length of 12 cm.

3 0

3 years ago

Read 2 more answers