(HELP) What is the domain and range of this parabola?

Answer:

The length of the first piece is 0.51 m

The length of the second piece is 0.31 m

The length of the third piece is 0.28 m

Step-by-step explanation:

The question is a simultaneous equation with word problem

The total length of the wood = 0.9 m

The number of pieces the wood is cut into = 3

The length of the first piece = 0.2 m + The length of the second piece

The length of the third piece = The length of the second piece - 0.23 m

Let "y" represent the length of the second piece, let "x" represent the length of the first piece, and let "z" represent the length of the third piece, we have;

x = 0.2 + y...(1)

z = y - 0.23...(2)

x + y + z = 0.9...(3)

Therefore, by substitution, we have;

0.2 + y + y + y - 0.23 = 0.9

3·y - 0.03 = 0.9

3·y = 0.9 + 0.03 = 0.93

y = 0.93/3 = 0.31

y = 0.31

The length of the second piece = y = 0.31 m

From equation (1), we have;

x = 0.2 + y = 0.2 + 0.31 = 0.51

x = 0.51

The length of the first piece = x = 0.51 m

From equation (2), we have;

z = y - 0.23

z = 0.51 - 0.23 = 0.28

z = 0.28

The length of the third piece = z = 0.28 m.

Answer:

Top Right Problem: PACKAGE #2 and $0.80

Bottom left: BAND and $0.05

Bottom Right: PEPSI and $0.05

Answer:

16.7 years

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Using Pythagoras' identity on the large right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

(x + 32)² = 30² + 40² = 900 + 1600 = 2500 ( take the square root of both sides)

x + 32 =[tex]\sqrt{2500}[/tex] = 50 ( subtract 32 from both sides )

x = 18 → A

Answer:

-5

Step-by-step explanation:

A negative times a negative always equals a positive.  5 x 9 = 45

Answer:

the answer is B (x+9)(x+5)

Answer:

a) [tex]5\sqrt{3} + 3\sqrt{5}[/tex]

b) [tex]4(\sqrt{2} + \sqrt{7})[/tex]

Step-by-step explanation:

a) [tex]9\sqrt{3} - 4\sqrt{3} +\sqrt{5} + 2\sqrt{5}[/tex]

Taking √3 & √5 common respectively,

[tex]=> \sqrt{3} (9 - 4) + \sqrt{5} (1 + 2)[/tex]

[tex]=> 5\sqrt{3} + 3\sqrt{5}[/tex]

b) [tex]10\sqrt{2} + 4\sqrt{7} - 6\sqrt{2}[/tex]

Taking √2 common ,

[tex]=> \sqrt{2} (10-6) + 4\sqrt{7}[/tex]

[tex]=> 4\sqrt{2} + 4\sqrt{7}[/tex]

Taking 4 common ,

[tex]=> 4(\sqrt{2} + \sqrt{7})[/tex]

Answer:

no

Step-by-step explanation:

linear functions have straight lines

so this is not a linear function

9514 1404 393

Answer:

  x= 5

Step-by-step explanation:

Sides BC and AD will be parallel when the two  marked angles have the same measure:

  5x -3 = 14x -48

  45 = 9x . . . . . . . . . add 48-5x

  5 = x . . . . . .  divide by 9

Answer:

x = [tex]\sqrt{3}[/tex]/6

Step-by-step explanation:

30-60-90 triangles have legs in the ratio of 1 : [tex]\sqrt{3}[/tex] : 2

create a proportion:  (6 ÷[tex]\sqrt{3}[/tex]) = (1÷x)

cross-multiply:  6x = [tex]\sqrt{3}[/tex]

divide by 6

Answer:

A. parallel lines

You can also use the app desmos to help you graph equations.

Answer:

a) [tex]( -[/tex]∞[tex], -\frac{4}{3}[/tex][tex])[/tex] ∪ [tex](-\frac{4}{3}[/tex] , ∞[tex])[/tex]

b) [tex][-\frac{5}{2} ,[/tex] ∞)

Step-by-step explanation:

The domain of a function is known as the input. We need to find whatever set of numbers can be plugged into every x of a function so that the result is a real number.

a) This problem is a fraction alone, so we need to find out what input of x will make the denominator zero - that will be the number we "skip" when writing out the domain. This is because if the denominator were zero, then it would be 1 divided by 0, which would be undefined and therefore not a real number.

To find this number, we can just take the denominator and solve for x:

[tex]3x + 4 = 0[/tex]

[tex]3x = -4\\x = -\frac{4}{3}[/tex]

Therefore [tex](-[/tex]∞, [tex]-\frac{4}{3}[/tex]) ∪ [tex](-\frac{4}{3},[/tex] ∞[tex])[/tex] is our answer.

b) This problem is just a square root alone, so we need to find out what input of x will make the number inside the square root negative - that number, and the numbers less than it, will be the numbers that we "skip." This is because if the number inside the square root was negative, then it would produce an imaginary answer and not a real one.

A simple trick to find the domain would be to set the terms inside the square root greater than or equal to 0 then solve for x:

[tex]2x + 5\geq 0 \\2x \geq -5\\\\x \geq \frac{-5}{2}[/tex]

Thus, the domain would be any number greater than or equal to [tex]-\frac{5}{2}[/tex], which in interval notation would be written [tex][-\frac{5}{2} ,[/tex] ∞).

Answer:

the second one

Step-by-step explanation:

Answer:

y

Step-by-step explanation:

Answer: I don't know I'm sorry

Answer:

decay im pretty sure

Step-by-step explanation:

Answer:

P=104

Step-by-step explanation:

-212+316=104

therefore p=104

Answer:

0.7>0.54

Step-by-step explanation:

Answer:

m∠C = 44°

Step-by-step explanation:

In ΔCDE,

m∠C=(4x−16) ∘

m∠D=(6x−1) ∘

m∠E=(4x−13) ∘ .

The sum of angles in a triangle = 180°

Step 1

We solve for x

m∠C + m∠D + m∠E

(4x−16)° + (6x−1)° + (4x−13)° = 180°

4x - 16 + 6x - 1 + 4x - 13 = 180°

4x + 6x + 4x -16 - 1 - 13 = 180°

14x - 30 = 180°

14x = 180+ 30

14x = 210

x = 210/14

x = 15

Step 2

Find m∠C

m∠C = (4x−16)°

m∠C = (4 × 15 - 16)°

m∠C = (60 - 16)°

m∠C = 44°

Answer:

34

Step-by-step explanation:

188 - 18 = 170 divided by 5 equals 34

Answer:

34 students per bus

Step-by-step explanation:

188 - 18 = 170, The number 170 is the total amount of students who were on buses

170 ÷ 5 = 34 This is the total number of students divide by the number of buses which gave the number of how many students were in each bus

Answer:

Lower bound = 3.835

Upper bound = 3.844

Step-by-step explanation:

Given,

A number rounded to 2 decimal place = 3.84

In other to obtain the least and greatest number, we are mostly concerned about the third digit after the decimal point.

Knowing that numbers 5 and above are rounded to 1 while numbers below 5 are rounded to Zero.

Hence, the lower bound should have its original hundredth value as (4 - 1) such that it becomes 4 when the thousandth value is rounded to 1.

Lower bound = 3.835

The upper bound should have its thousandth value as one which is rounded to Zero, just a point below 5

Upper bound = 3.844

Answer:

b. – 0.4(x + 1.6) = 1.6

Step-by-step explanation:

The equation with negative solution is -

- 0.4(x + 1.6) = 1.6

Given are the equations as shown in the question.

The equation with the negative solution are -

- 0.4(x + 1.6) = 1.6

- 0.4x - 0.64 = 1.6

- 0.4x = 1.6 + 0.64

- 0.4x = 2.24

x = - (2.24/0.4)

Therefore, the equation with negative solution is -

- 0.4(x + 1.6) = 1.6.

To solve more questions on algebraic expressions, visit the link below-

brainly.com/question/1041084

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Answer:

10/16

Step-by-step explanation:

Find the common factor between both

5/8 = 10/16

10/16 > 3/16

Answer: 4

Step-by-step explanation: (3,-4) (5,4)

4-(-4)= 8

5-3= 2

Divide both numerator and denominator by 2

The slope is 4

Answer:

-0.1, -0.02, [tex]\frac{5}{6}[/tex], [tex]|\frac{9}{8}|[/tex], 10

Step-by-step explanation:

Answer: 8 feet

Step-by-step explanation:

Answer:

5y

Step-by-step explanation:

Answer:

6 days

Step-by-step explanation: