The graph of y=
-2x²5x+2 is drawn below
Draw a suitable line to solve -2x² - 5x + 2 = -5

Our standard linear slope equation is:

mx + b = y

We're told our slope is 1/2, so that's our m value.

When x = 0 our value is 5. If you need this visualized, then:

1/2 * 0 +b = 5

0 + b = 5

b = 5

So our equation looks like:

x/2 + 5 = y

Answer:

-20, -18

Step-by-step explanation:

let x = the smaller number

Let x + 2 = the larger number

3(x +2) -26 = 4x

3x + 6 -26 = 4x

3x -20 = 4x  Subtract 3x from both sides of the equation

-20 = x

x + 2

-20 + 2 = -18

Check:

3(-20 + 2) -26=  4(-20)

3(-18) - 26 = -80

-54 -26 = -80

-80 = -80

Answer:

177

Step-by-step explanation:

All Done! Please mark as Brainliest :)

Answer:

177

Step-by-step explanation:

The tenth is 9 which means you round up so the correct answer is 177.

Hope It Helps Sorry If I'm Wrong

The factor tree diagram is shown below.

========================================================

Explanation:

The first few primes are:

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31

These numbers have factors of 1 and themself only.

Divide 405 over the smallest prime (2)

405/2 = 202.5

We don't get a whole number result, so 2 is not a factor of 405

Repeat for the prime next prime (3)

405/3 = 135

We get a whole number result. Therefore, 3 is a factor of 405

405 = 3*135

-------------------------

Now focus on 135.

Divide 135 over the smallest prime (2)

135/2 = 67.5

This rules out 2 as a factor of 135

Repeat for the prime number 3

135/3 = 45

So we can see that

135 = 3*45

which shows 3 is a factor of 135.

--------------------------

Now focus on 45. The prime 2 isn't a factor since 45/2 = 22.5 isn't a whole number

But 3 is a prime factor because 45/3 = 15 is a whole number. So 45 = 3*15 is the case.

Furthermore, 15/3 = 5 to show that 15 = 3*5

--------------------------

We can express all of this as a factor tree as shown below. The primes have been circled in red.

We have the primes of: 3, 3, 3, 3, 5

We can shorten the four '3's into 3^4

Therefore, 405 = 3^4 * 5

The product in terms of prime factor is  3*3*3*3*5.

The factors of a number are numbers that evenly divide into it. A prime factor is a factor that is only divisible by 1 and itself.

Given:

405

On performing prime factorization

405= 3*3*3*3*5

Hence, the prime factors are  3*3*3*3*5.

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go ask God bro ain't nobody know that

Answer:

4

Step-by-step explanation:

[tex]\sqrt{x} 368640 = 1920[/tex]

The number of digits in 1920 is 4

The number of digits in the square root of 3686400 is 4.

In mathematics, the square root is a component that, when multiplied by itself, equals the original integer. For instance, the square roots of 9 are both 3 and -3.

The square root of 3686400 is,

√3686400 = ±1920

The number of digits in 1920 is 4.

Only four digits make up 4-digit integers; the first digit must be one or higher, and the other three can be any number between 0 and 9. Examples of four-digit numbers include 5693, 1023, and 9825.

Thus, the number of digits in the square root of 3686400 is 4.

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The probability that all three of the selected vials have hairline cracks = 0.096

Total number of vials in the shipment = 62

Number of vials with hairline cracks = 14

Number of vials without hairline cracks = 48

Three from 62 vials are selected.

So total outcomes = 62C3

Number of possible outcomes for all 3 of selected vials have hairline cracks = 14C3, which is the number of favorable outcomes

Probability that all three of the selected vials have hairline cracks = Number of favorable outcomes/Total outcomes = 14C3/62C3 = 0.096

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The solution of the expression for a is a = -1 9/40

The expression is given as:

negative a minus five eighths equals three fifths for a.

Rewrite the expression properly as:

-a - 5/8 = 3/5

Collect the like terms in the above expression

So, we have:

a = -5/8 - 3/5

Evaluate the like terms in the above expression

So, we have:

a = -1 9/40

Hence, the solution of the expression for a is a = -1 9/40

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If a road was made directly from his home to his place of work, its distance will be 16.6 mi.

If a man drives east from his home, makes a left turn at an intersection, and then travels north to his place of work, then the path he travels resembles the sides of a right triangle (see attached photo).

if a road was made directly from his home to his place of work, then this path will be the hypotenuse of the triangular path.

Using Pythagorean theorem, we can solve for the distance of the road.

c^2 = a^2 + b^2

where c is the distance of the road

a is the distance he travels to the east

b is the distance he travels up north

c^2 = a^2 + b^2

c^2 = (14 mi)^2 + (9 mi)^2

c^2 = (196 + 81) mi^2

c^2 = 277 mi^2

c = 16.64331698 mi

distance of the road = c = 16.64331698 mi

Rounding off to the nearest tenth of a mile:

distance of the road = 16.6 mi

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Your answer is x=1/3

Good luck with your test!~ ^^

The x- and y-intercepts of the function both are zero which represents when sold 0 tickets are, the value of sales is 0 and when the value of sales is 0, the number is 0.

A graph can be defined as a pictorial representation or a diagram that represents data or values.

The relationship between the quantity of Fun Pass tickets sold and the amount of the overall sales are represented on the given graph.

Positive and negative functions are performed here, and the meanings are interpreted in the context of the situation.

Therefore, the x- and y-intercepts of the function are zero which represents when sold 0 tickets are, the value of sales is 0 and when the value of sales is 0, the number is 0.

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Answer:

A: sf 2 or 1/2

Step-by-step explanation:

Answer:

Part A: The scale factor of the dilation that transforms Triangle PQR to Triangle P'Q'R' is 1/4

Part B:

P''(-1, 0)

Q''(0, -1)

R''(2, -1)

Part C:

The two Triangles PQR and P''Q''R'' are not congruent.

Step-by-step explanation:

9) The True Distance is 209 ft

10) The True Distance is; 66.5 ft

11) The True Height is; 57 ft

We are given that the scale of the map is 1 in : 38 ft

This means that 1 inch represents 38 ft

9) Now, we want to find the true distance of 5.5 inches from the map. Thus;

True distance = (5.5 * 38)/1

True Distance = 209 ft

10) Now, we want to find the true distance of 1.75 inches from the map. Thus;

True distance = (1.75 * 38)/1

True Distance = 66.5 ft

11) We are given the scale is 1 in : 85 ft.

Thus, the true height of 1.5 inches is;

True height = (1.5 * 38)/1

True Height = 57 ft

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The coordinates of A, B and C are (-1, -8), (0, -7) and (1, -6) respectively.

Here, we are given that A, B and C are coordinates on the line y = x − 7.

Also, we are given the following table for x and y values of A, B and C

x                    -1    0    1

y                    -8  -7   -6

coordinates   A  B  C

The coordinates of a point are written in (x, y) format where x and y are the values of the x and y axis respectively.

Thus, the coordinates of A are (-1, -8)

the coordinates of B are (0, -7)

and the coordinates of C are (1, -6)

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The sum of n natural numbers is three digits number and all digits are the same. The same digits is 6 and the sum is 666.

A three-digit number with the same digits is the sum of n natural numbers.

Let's say the sum of n natural numbers is bbb.

Then,

n( n + 1) / 2 = bbb

n( n + 1) / 2 = b( 111 )

n( n + 1) / 2 = b ( 3 × 37 )

n( n + 1) = 6b × 37

Now, the left-hand side of the equation is the product of two consecutive natural numbers.

Therefore, the right-hand side of the equation is also the product of two consecutive natural numbers.

Hence, 6b = 36

b = 36/ 6

b = 6 and n = 36

As a result, 36 numbers have been added together, and their total is 666.

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Answer:

x = 2

Step-by-step explanation:

Equation: 5x = 10

--- Divide 5 on both sides

x = 2

This means that each apple can make 2 cakes.

Answer: 2

Step-by-step explanation: because  if u divide both sides by 5

Answer:

111111111/200000000

Answer: 7.333

Step-by-step explanation:

first move the three over 47-3 = 6y

the divide by - 6 to get y by itself 44/-6 = y

Answer: 8oz of the 20% and 12oz of the 70%

Step-by-step explanation:

(20*x) + (70*(20-x)) / 20 = 50

(20x +1400-70x) / 20 =50

20x +1400-70x  = 1000

50x=400

x=8

20-8=12

Colton is approximately 3.9 feet apart from his  younger sister.

Pythagoras Theorem:

The statement o the Pythagoras theorem is, "if a triangle is right-angled (90 degrees), then the square of the hypotenuse is equal to the sum of the squares of the other two sides. "

Then it can be written as,

BC² = AB² + AC²​​.

Where,

​​​​AB is the base,

AC is the altitude (height), and

BC is the hypotenuse.

Given,

Colton looks around at an assembly. he notices his younger sister to his right and his older brother 7 feet ahead of him.

And Colton's brother and sister are 8 feet apart.

Now, we need to find the distance between Colton and his younger sister.

Based on the given statement, we can draw their position like the following figure.

Here B represents the position of Colton, A represents the position of his older brother and C represents the position of his younger sister.

Now, we have to use the Pythagoras Theorem in order to solve it,

=> 8² = BC² + 7²​​.

=> 64 = BC² + 49

=> 64 - 49 = BC²

=> BC² = 15

=> BC = √15

Therefore,

=> BC ≈ 3.9 feet

Therefore, the distance between Colden and his younger sister is approximately 3.9 feet.

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The area of the rectangular-shaped building is 2448 square feet.

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.

Given that a rectangular-shaped building that is 34 feet wide and 72 feet long. The area of the rectangle will be calculated as below:-

Area of rectangle = Length x width

Area of rectangle = 34 x 72

Area of rectangle = 2448 square feet

Therefore, the area of the rectangular-shaped building is 2448 square feet.

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Answer:

35/4

Step-by-step explanation:

8*4=32

32+3

=35

35/4

We get A' as { 2, 6, 8, 16}. B' as {12, 18}, (AUB)' as ∅ and A' U B' as {2, 6, 8, 12, 16, 18}.

We are given the sets as:

U= { 2, 4, 6, 8, 10, 12, 14, 16, 18}

A = {4, 10, 12, 14, 18}

B = { 2, 4, 6, 8, 10, 14, 16}

We first will find out A':

A' = U - A

A' = { 2, 4, 6, 8, 10, 12, 14, 16, 18}  - {4, 10, 12, 14, 18}

A' = { 2, 6, 8, 16}

Now, we will find B':

B' = U - B

B' = { 2, 4, 6, 8, 10, 12, 14, 16, 18}  - { 2, 4, 6, 8, 10, 14, 16}

B' = { 12, 18}

Now, we have to find:

(AUB)' = U - (AUB)

AUB = {4, 10, 12, 14, 18} U { 2, 4, 6, 8, 10, 14, 16}

AUB = { 2, 4, 6, 8, 10, 12, 14, 16, 18}  = U

(AUB)' = U - U = ∅.

Now, we will find A' U B':

A' U B' = { 2, 6, 8, 16} U { 12, 18}

A' U B' = {2, 6, 8, 12, 16, 18}

Therefore, we get A' as { 2, 6, 8, 16}. B' as {12, 18}, (AUB)' as ∅ and A' U B' as {2, 6, 8, 12, 16, 18}.

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Answer:

Graph in the picture

As  given Chole and Tinos age , the present age of Tino is equal to 15 years.

As given,

Let x and y be the present age of Chole and Tino. respectively.

Combined age = 48

Given condition,

x + y = 48 _______(1)

Three years ago

x - 3 = 2y

⇒x =2y +3 _______(2)

Substitute the value of x in (1),

2y+3 +y =48

⇒ 3y = 45

⇒ y = 15years

Therefore , as given Chole and Tinos age , the present age of Tino is equal to 15 years.

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Step-by-step explanation:

option b is the correct answer