6x+5=35
Solve the equation

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:

45

Step-by-step explanation:

Answer:

9.

Step-by-step explanation:

The top triangle is half in measurements then the bottom

Answer:

y = 5

Step-by-step explanation:

when the slope of a line is 0 because it does not incline

it is y = wherever the y value is

so in this case

it is

y = 5

Answer:

(e^3 / e^2n)

Step-by-step explanation:

isn't this the same question

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

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.

Learn more about the volume of cylinder here :

brainly.com/question/16134180

#SPJ1

Answer:

yes its linear

Step-by-step explanation:

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.

To know more about an expression follow;

brainly.com/question/19876186

#SPJ5

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:

10 oz.

Step-by-step explanation:

There are 16 oz in 1 lb. So for the 10 lb. cake there is a total of 160 oz to start. If the cake is cut in half and then in 8 pieces. There will be a total of 16 pieces.

10 lb/whole cake

= 160 oz/2 halves

= 160 oz/16 slices

= 10 oz/slice

Each slice of icecream cake is 10 oz.

Step-by-step explanation:

8^2+√34^2

64+1156

1227

√1227

35.02

Answer:

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

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:

2 (x-5) = 10

2x-10 = 10

2x = 10 + 10

x = 20/2

x = 10

Step-by-step explanation:

Answer:

7√2

Step-by-step explanation:

Answer:

I think that is simplyfied

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

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.

Find out more on expected value at https://brainly.com/question/14723169

#SPJ1

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.

Answer:

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

Answer:

0.5 minutes

Step-by-step explanation:

Since we are provided the equation and the current height of the candle (which would be 25 inches) we can simply replace this current height with the variable h and then solve the rest of the equation to find out the value of m when the height of the candle is at 25 inches.

h = 32−14m

25 = 32−14m ... subtract both sides by 32

-7 = -14m ... divide both sides by -14

0.5 = m

Finally, we can see that after 0.5 minutes the candle would have melted down to 25 inches.

Answer:

7.14 well be your answer

Step-by-step explanation:

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:

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)