Can somebody please explain what domain and range is on a graph and how to find them.

The value of x is 1.5

The parallel lines are the coplanar straight lines  that are at equal distance from each other and never meet.

When two parallel lines are cut by a transversal, the formed alternate exterior angles will be congruent

Here two parallel lines L1 and L2 cut by a transversal L3, the marked angles in the given picture is called alternate exterior angles. The alternate angles are congruent.

Therefore

x+1 = 3x-2

Move 3x to left hand side and 1 to right hand side of the equation

x-3x = -2-1

-2x = -3

x = -3/-2

x = 1.5

Hence, the value of x is 1.5

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The domain and the range are 0 ≤ t ≤ 6 and 2 ≤ d(t) ≤ 5, respectively

The domain of the function is the set of input values the function can take

The function is given as

d(t) = 1/2t + 2

Where t represents the number of days

And d represents the inches of rainfall

From the question, we have

Total number of days = 6

This means that the domain is 0 to 6.

This is represented as 0 ≤ t ≤ 6

For the range, we have

Set t = 0 in d(t) = 1/2t + 2

d(0) = 1/2(0) + 2 = 2

Set t = 6 in d(t) = 1/2t + 2

d(6) = 1/2(6) + 2 = 5

This means that the range is 2 to 5.

This is represented as 2 ≤ d(t) ≤ 5

Hence, the domain is 0 ≤ t ≤ 6 and the range is 2 ≤ d(t) ≤ 5

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The value of p for given inequality would be:

p is greater than or equal to negative twenty one halves

In this question, we have been given a statement for an inequality.

two thirds times p plus 10 is greater than or equal to 3

i.e., (2/3)p + 10 ≥ 3

We need to find the value of p

(2/3)p + 10 ≥ 3

(2/3)p + 10 -10 ≥ 3 - 10

(2/3)p ≥ -7

(2/3)p * (3/2) ≥ -7 (3/2)

p ≥ -21/2

This means, p is greater than or equal to negative twenty one halves

Therefore, the value of p for given inequality would be:

p is greater than or equal to negative twenty one halves

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Answer:

p= -16.1

Step-by-step explanation:

-4.8=0.5(p+6.5)

first you want to multiply 0.5 by p and 6.5.

-4.8=0.5(p)+0.5(6.5)

then solve it:

-4.8=0.5p+3.25

next you want to isolate p so you'd subtract 3.25 on both sides so:

(-4.8-3.25)=0.5p+(3.25-3.25)

solve:

-8.05=0.5p

lastly, divide 0.5 on both sides:

-16.1=p or p= -16.1

hope this helps :)

Answer:

761058.745

Step-by-step explanation:

2.9 x 5 is 14.5

I believe your using x for multiplying and it's not a variable?

If you're problem is altogether it's 761,058.745

Answer: 14.5x2

Step-by-step explanation:

Answer:

12.656

Step-by-step explanation:

1) BODMAS = 23.98-(1.49*7.6)

2) 1.49*7.6 = 11.324

3) 23.98-11.324 = 12.656

Hope this helps, have a great day! :)

Answer:

12.656

Step-by-step explanation:

You have to subtract the first two numbers(23.98-1.49).The answer you will get you will then multiply it buy the last number(7.6)

Answer:

The price per unit of chocolate bars is £0.3.

Step-by-step explanation:

The cost of 4 chocolates bars is  £1.20.

The cost of 1 chocolate bars is [tex]\frac{1.20}{4}[/tex]

The cost of 1 chocolate bars is £0.3.

Answer: $4.80 (us dollars)

Step-by-step explanation:

Answer:

545

Step-by-step explanation:

Given:

Required:

We need to solve for L.

Explanation:

Consider the given equation.

Subtract 2W from both sides.

Divide both sides by 2.

Final answer:

The linear model is represented as

A. An increasing lines goes up from left to right. This is shown from 0 to 2

B. A horizontal line would show the height remaining the same. This is shown from 2 to 3

C. The steeper the line the faster the decrease. This is shown from 3 to 4

D. The height of the balloon at 10 seconds would be O as it hits the zero mark at 6 seconds and the arrow continues along the O line.

What is Linear Model ?

A linear model is an equation that describes a relationship between two quantities that show a constant rate of change.

Part A  the balloons height is increasing when the line is going up

It is increasing between 0 and 2

0 ≤ t ≤ 2

Part B  the balloons height remains the same when the line is flat

It is constant between 2 and 3

2 ≤ t ≤ 3

Part C the balloons height is decreasing when the line is going down

It is decreasing the fastest when the line is going down the quickly and that is between 3 and 4. The slope is (80-20)/(4-3)= 60/160. The larger the slope, the faster the height decreases.

3 ≤ t ≤ 4

Part D  At 10 second the balloon will be on the ground. At 6 second the height is zero and remains at 0.

The linear model is represented as

A. An increasing lines goes up from left to right. This is shown from 0 to 2

B. A horizontal line would show the height remaining the same. This is shown from 2 to 3

C. The steeper the line the faster the decrease. This is shown from 3 to 4

D. The height of the balloon at 10 seconds would be O as it hits the zero mark at 6 seconds and the arrow continues along the O line.

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The percentage of variation that is in the differences in the number of volunteers is 86.1

We have to take the square of the correlation coefficient in other to get the solution to this problem.

The formula for variation is given a r squared

r = r²

The value of r is given as r = 0.928

Then we have the square of r = r²

= 0.928²

= 0.861

The percentage would be gotten by 0.861 x 100

= 86.1%

Hence the percentage of variation that is in the bags of trash that has been collected is 86.1

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The slope or gradient of the line is 0.15 .

The slope or gradient of a line in mathematics is a numerical expression of the steepness and direction of the line.

We know that slope can be calculated by the change in the height by the change in the length.

1 mile = 5280 feet

therefore 4.9 miles = 25872

Therefore slope = 4000/25872 = 0.1546...≈ 0.15

Hence the slope or gradient of the line is 0.15 .

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Answer:

x=1

Step-by-step explanation:

Answer:

eèeeeeeeeeeeeeeeeeeweeeeeee

To determine the distance rolled by the tire in 24 revolutions, use the following formula:

where r is the radius (14 in) and θ the degrees of the revolutions. Consider each revoutions represents 180 degrees or 2π radians, the, 24 revolutions are 24x2π = 48π.

Replace the values of r and θ into the formula for s:

Hence, the tire rolls 2,110 in

Answer:

B

Step-by-step explanation:

Circumference = pi * d  =   28 pi   inches

  twenty four of these is   24 *  28 pi inches = 2111.15 in = 175.9 ft

The image of the point (-3, 1) after dilation is (−6,2).

Dilation is a process of increasing size of an object while maintaining its own shape. Depending on the scale factor, the object's size is either increased or decreased. The scale factor is the proportion of the new image's size to that of the previous image's size.

Given point is (-3, 1).

The dilation of the point is calculated as

Dilation = multiply each coordinate by scale factor.

(x,y) to (2x,2y)

Dilations  = multiply by a scale factor

(-3, 1) to (2*-3,2*1)=(−6,2)

Therefore, the image of the point (-3, 1) after dilation will be (−6,2).

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Answer:

y=6x-12

Step-by-step explanation:

rise over run is 6/1 which is just 6

y intercept is -12

Answer:

-80

Step-by-step explanation:

PEMDAS is Parentheses, exponent, multiplication, division, addition, subtraction.

the '-' is not a subtract sign, it is saying it is negative. Therefore, 4 * -20 = -80

Answer:the answer is -80

Step-by-step explanation:

Answer:

3rd option

Step-by-step explanation:

(5y - 16) and (3y + 20) are a linear pair and sum to 180° , that is

5y - 16 + 3y + 20 = 180

8y + 4 = 180 ( subtract 4 from both sides )

8y = 176 ( divide both sides by 8 )

y = 22

then

5y - 16 = 5(22) - 16 = 110 - 16 = 94°

3y + 20 = 3(22) + 20 = 66 + 20 = 86°

The approximate weight of all the ants in the worlds in scientific notation is  3×10¹⁰ kg .

Values that are either too large or too little to be conveniently stated in decimal form can be indicated using scientific notation (typically would result in a long string of digits).

Weight of 1 ant = 3×10⁻⁶ kg

number of ants =  1×10¹⁶

Total weight = 3×10⁻⁶ × 1×10¹⁶ =  3×10¹⁰ kg

Therefore the weight of all the ants in the world is approximately

3×10¹⁰ kg

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Answer:

b < -21

Step-by-step explanation:

1/3b + 1 < -6

1/3b < -7

b < -21

The distance between the two given points on a number line is: 33/4 units.

The absolute difference between two points that are on a number line is the distance that exist between the two points.

For example, if a and b are two points on a number line, the distance between them can be calculated as: |a - b| units.

Given the coordinate of the two points, -5/2 and -23/4:

Distance between the two points = |-5/2 - 23/4|

Distance between the two points = |(-10 - 23)/4|

Distance between the two points = |-33/4|

Distance between the two points = 33/4 units.

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Step-by-step explanation:

look at the picture

*for the equation you can choose any of the two points

The center  ( x - 6)² + (y + 4)² = 1 of circle does not lies in second quadrant.

it lies in fourth quadrant.

A circle equation with centers (h, k) and radius r is ,

                       ( x - h)² + (y - k)² = r²

Regarding the given question,

The circle equations have been given to us.

Each circle's center is located.

We know that any point in the second quadrant has coordinates of the form (-x, y)

The x-coordinate must be a negative number, and the Y-coordinate must be a positive number.

( x - 6)² + (y + 4)² = 1

( x - 6)² + (y + 4)² = 1²

By comparing the above circle equation with ( x - h)² + (y - k)² = r²,  

we get the center = (6, -4) and the radius = 1.

The circle's center is located in the fourth quadrant. The x-axis in this quadrant is positive, while the y-axis is negative.

So here  ( x - 6)² + (y + 4)² = 1 does not lies in second quadrant .

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Given the equation:

Let's rewrite the equation for H.

To rewrite for H, first multiply both sides by H:

Now divide both sides by cos32:

ANSWER:

The factored expression of the expression given as -6x² + 18x is -6x(x - 3)

The expression is given as

-6x² + 18x

Group the expression in 2's

So, we have

-6x² + 18x= (-6x² + 18x)

Factor each group

So, we have

-6x² + 18x= x(-6x + 18)

Rewrite as

-6x² + 18x= -6x(x - 3)

Hence, the factored expression is -6x² + 18x= -6x(x - 3)

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      We must multiply out the brackets in order to expand and simplify an expression, and we must then collect like words in order to simplify the resulting expression. We take out brackets by expanding them, often known as multiplying out. It is the factorization procedure in reverse.

(t -t2)(t +5)(t-4) (t-4)

Replacing it with: f(t) = (t -t2)(t +5) (t-4)

Instead, resolve:  d/dt ((t -t2)(t +5)(t-4) )

Solution:

(t -t2)(t +5)(t-4) (t-4)

Expand:

(t -t2) (t +5) (t-4) ; t³ - t²- 22t + 40

Steps:

(t -t2)(t +5)(t-4) (t-4)

Parentheses distributed as: t ²t+ t² (-4)+3tt+3t(-4)-10t-10t-10(-4)

Reduce t ²t+ t² (-4)+3tt+3t(-4)-10t-10t-10(-4);

t³-t²-22t+40.

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