What is the answer??

Answer:

D. .................... . . . . . . . . . . . . .... . . . . . . . . .

Answer:

3. The vertex form of the function, f(x) = x² - 4·x - 17 is f(x) = (x - 2)² - 21

4. The solutions are, x = -2 + √10 and x = -2 - √10

5. The quadratic equation with vertex (3, 1) and a = 1 in standard form is given as follows;

f(x) = x² - 6·x + 10

Step-by-step explanation:

3. The function given in standard form is f(x) = x² - 4·x - 17, which is the form, f(x) = a·x² + b·x + c

The vertex form of the of a quadratic function can be presented based on the above standard form as follows;

f(x) = a(x - h)² + k

Where;

(h, k) = The coordinate of the vertex

h = -b/2a

k = f(h)

Comparing with the given equation, we have;

f(x) = a·x² + b·x + c = x² - 4·x - 17

a = 1

b = -4

c = -17

∴ h = -(-4)/(2 × 1) = 2

h = 2

k = f(h) = f(2) = 2² - 4 × 2 - 17 = -21

k = -21

The vertex form of the function, f(x) = x² - 4·x - 17 is therefore, given as follows;

f(x) = (x - 2)² - 21

4. The given equation for which we need to solve by completing the square is 2·x² + 8·x = 12

Dividing the given equation by 2 gives;

x² + 4·x = 6

Which is of the form, x² + b·x = c

Where;

a = 1

b = 4

c = 6

From which we add (b/2)² to both sides to get x² + b·x + (b/2)² = c + (b/2)²

Adding (b/2)² = (4/2)² to both sides of x² + 4·x = 6 gives;

x² + 4·x + 4 = 6 + 4

(x + 2)² = 10

x + 2 = ±√10

x = -2 ± √10

The solution are, x = -2 + √10 and x = -2 - √10

5. Given that the value of the vertex = (3, 1), and a = 1, we have;

The vertex, (h, k) = (3, 1)

h = 3, k = 1

Therefore, h = 3 = -b/(2 × a) = -b/(2 × 1)

∴ -b = 2 × 3 = 6

b = -6

k = f(h) = a·h² + b·h + c, by substitution, we have;

k = f(3) = 1 × 3² + (-6) × 3 + c = 1

∴ c = 1 - (1 × 3² + (-6) × 3) = 10

c = 10

The quadratic equation with vertex (3, 1) and a = 1 in standard form, f(x) a·x² + b·x + c is therefor;

f(x) = x² - 6·x + 10

Answer:

16.

Step-by-step explanation:

3(6 - 8)² + 8÷2 = 3(-2)² + 8÷2

        = 3 * 4 + 8÷2

        = 3 * 4 + 4

        = 12 + 4

            =16

Answer:

(using PEMDAS)

3(6-8)2+8/2

3(-2)2+8/2

-6*2+8/2

-12+4

-8

(this is if the 2 is NOT an exponent)

The measure of angle ABC is 132°.

The total measure of ABC and BCD is 180° because it is a straight angle.

If BCD is 48°, they ABC is 132°. You get this because you subtract 180° by 48°.

Answer:

83

Step-by-step explanation:

there is many ways to do it!! HOPE YOU ACE IT

The number of students, n that possibly eat lunch at school, n = 531 or more students.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Given that the number of students who bring lunch is 45 fewer these the number of students who eat the school lunch. There are more than 485 students who bring lunch.

The number of students who bring lunch, is;

B > 485 students

The number of student who eat lunch in school, E = B + 45

Thus, E > 485 + 45

The number of student that possibly eat lunch in school, E > 530 students.

The number of students, n that possibly eat lunch at school, n = 531 or more students.

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Answer:

(f * g)(x) = -18x² + 63x - 55

General Formulas and Concepts:

Algebra

Step-by-step explanation:

Step 1: Define

f(x) = -6x + 11

g(x) = 3x - 5

(f * g)(x) is f(x) · g(x)

Step 2: Find

Answer:

The volume of the box is

V(x) = 4x^3 -72x^2+320x

Step-by-step explanation:

Here, we are interested in calculating the volume of the box

From what we can see, the shape of the box is a cuboid

Mathematically, the volume of a cuboid is l * b * h

Thus, what we have will be;

x * 20-2x * 16-2x

= x ( 20(16-2x) -2x(16-2x))

= x(320-40x-32x + 4x ^2)

= x(320-72x+4x^2)

= 320x-72x^2 + 4x^3

the volume v(x) will be;

V(x) = 4x^3 -72x^2+320x

Answer:

yes its linear

Step-by-step explanation:

The required surface area would be A= 2πr² + 710/r which represents area A as a function of its radius r, where r is measured in centimeters.

The can's surface area A and volume V are determined by the equation if the container has a radius of r and a height of h.

A= 2πr² + 2πrh and V = πr²h

The volume V of a 12 oz cola can is 355 cm³

Given that cola can is approximately cylindrical.

V = πr²h = 355 cm³

h = 355 / πr²

Substitute the value of h in the can's surface area A, we get

A= 2πr² + 2πr(355 / πr²)

A= 2πr² + 2(355/r)

A= 2πr² + 710/r

Therefore, the required surface area would be A= 2πr² + 710/r which represents area A as a function of its radius r, where r is measured in centimeters.

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Answer:

No it wouldn’t be

Step-by-step explanation:

Well lets say the cost of 6.99 is rounded up to 7 since its a penny short.

There are 6 people and 6*7=42

So the answer would be about 42 dollars which is 12 dollars off.

Even if we round down the 6.99 to 6 it would still be 6 dollars off and thats still a low estimate

Answer:

7.14 well be your answer

Step-by-step explanation:

Answer:

answer D 4.500..........

Answer:

2 (x-5) = 10

2x-10 = 10

2x = 10 + 10

x = 20/2

x = 10

Step-by-step explanation:

Answer:

M(3.5 , 3.5)

J(3.5 , 14)

K(21 , 14)

L(21 , 3.5)

Step-by-step explanation:

M(1,1)

J(1,4)

K(6,4)

L(6,1)

multiply the coordinates by the scale factor of 3.5

M(3.5 , 3.5)

J(3.5 , 14)

K(21 , 14)

L(21 , 3.5)

Answer:

11

Step-by-step explanation:

1/2 * 2 = 1, 5 1/2 * 2 = 11.

Answer:

7√2

Step-by-step explanation:

Answer:

I think that is simplyfied

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

Because h(3) times h(7) is equal to 21.

Hope it helps!

Based on the single letter that Peter picks and the single digit, the expected value in one turn for Star One is $-0.296262

First, find the probability that Peter picks the correct letter and the correct digit:
= Probability of picking letter x Probability of picking digit

= 1/26 x 1/10

= 0.3846%

The expected value per turn for Star One s:

= (0.3846% x 700) + ( (1 - 0. 3846%) x -3)

= $-0.296262

In conclusion, the expected value for a turn of Star One is $-0.296262.

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Answer: The measure of angle 1 is equaled to 20

Step-by-step explanation:

4x= 80 (You divide 80 by 4, which is 20), so the measure of angle 1 is 20.

Step-by-step explanation:

8^2+√34^2

64+1156

1227

√1227

35.02

Answer:

(e^3 / e^2n)

Step-by-step explanation:

isn't this the same question

Answer:

it's D

Step-by-step explanation:

4x represents the hours and A, B, and C doesn't make sense especially c because it has a -4 so the correct answer is D I'm sure

Answer:

Choice D  y = 4x -12

Step-by-step explanation:

Since Kevin owes his brother $12, we can clarify that b=-12. He also has a babysitting job where he receives $4 an hour which we can express as 4x; let x represent the amount of hours he works.

The graph equation is y=mx + b

so, y = 4x -12

Answer:

IM YOUR ANSWER

Step-by-step explanation:

Answer:

40 miles

Step-by-step explanation:

Step one:

given data

let the total distance to be covered by Kasey by the end of the month be x

Required is x

so

60% of x= 24

60/100*x= 24

0.6x= 24

divide both sides by 0.6

x= 24/0.6

x=40 miles

Answer:

9.

Step-by-step explanation:

The top triangle is half in measurements then the bottom