The entire graph of the function g is shown in the figure below.
Write the domain and range of g using interval notation.
(a) domain=
(b) range =

Answer:

x = -2/y -1

Step-by-step explanation:

2xy + 4 = -2y -----> x = -2y -y

Step 1: Divide 2y to all sides. 2xy÷2y + 4÷2y= -2y÷2y. Since we are divinding y with y it cancels out, so it will be -2÷ 2 = -1

Step 2: x + 2y = -1

Step 3: Then subtract 2y and move it to the other side.

x = -2/y -1

Another way of explaining it:

2xy + 4 = -2y

Step 1: Divide 2 to all sides. 2xy÷2 +4÷2 = -2y÷2

Step 2: xy + 2 = -y

Step 3: Subtract the 2 and move it to the other side.

xy + 2 = -y

-2. -2

Step 4: xy = -2 -y

Step 5: Then we divide the y to all sides. xy÷y = -2÷y - y÷y

Step 6: xy÷y = -2 ÷ y -2 ÷y. We're trying to get x by itself.

Step 7: x = -2/y -1. Since we are divinding y with y it cancels out, so it will be

Answer: x = -2/y -1

(Any Further Questions or Confusion Please Let Me Know)

The difference quotient of the function f(x) = 4x² + 3x - 5 is [f(x + h) - f(x)]/h = 8x + 4h + 3

The function is given as

f(x) = 4x² + 3x - 5

Start by calculating the function f(x + h)

So, we have the following

f(x + h) = 4(x + h)² + 3(x + h) - 5

Expand

f(x + h) = 4(x² + 2xh + h²) + 3(x + h) - 5

Open the brackets

f(x + h) = 4x² + 8xh + 4h² + 3x + 3h - 5

The difference quotient is then calculated as

[f(x + h) - f(x)]/h

This gives

[f(x + h) - f(x)]/h = (4x² + 8xh + 4h² + 3x + 3h - 5 - 4x² - 3x + 5)/h

Evaluate the like terms

[f(x + h) - f(x)]/h = (8xh + 4h² + 3h)/h

Evaluate the quotients

[f(x + h) - f(x)]/h = 8x + 4h + 3

Hence, the value of [f(x + h) - f(x)]/h is 8x + 4h + 3

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Complete question

If f(x) = 4x² + 3x - 5, then [f(x + h) - f(x)]/h is equal to which of the following?

Hello!

Let's solve:

 [tex]\dfrac{2}{5}(15x+40)} =6x+10\\\\\\\text{Multiply the '2/5' into the function inside the parentheses}\\\dfrac{2}{5} *15x + \dfrac{2}{5} *40=6x+10\\\\6x + 16 =6x+10\\\\\\\text{Subtract '6x' from both sides}\\6x + 16-6x=6x+10-6x\\16 = 10[/tex]

Since 16 doesn't equal 10 ==> There are no solution

Hope that helps!

Answer: C

Step-by-step explanation: A is definitely not correct. not b. not d

The money was distributing un equally. Because of the great depression, the lower classes made less money

Answer:

i believe its 30

Step-by-step explanation:

well i think you would divide sixty by 2 which is thirty.

IM SO SORRY IF IM WRONG- THIS IS JUST WHAT I THINK!

Answer:

x=W/k

Explanation:

Given the equation

To solve for x, we divide both sides of the equation by k.

We have to differentiate f(x).

We can do this as:

The answer is f'(x)=60x-25.

You have the equation:

To solve this equation you have to clear the variable x. You can clear the variable x, as follow:

You multiply both sides of the equation by 5.

Then the solution is:

She received 19 purple and 6 blue marbles, so the total number of marbles is 19 + 6 = 25

Percentage of purple marbles = 100 * 19/25 = 1900/25 = 76%

Percentage of blue marbles = 100 * 6/25 = 600/25 = 24%

Answer:

Percentage of purple marbles = 76%

Percentage of blue marbles = 24%

The way in which this data-collection method produce bias in obtaining an estimate of all drivers who are satisfied with the company’s truck drivers is that: D. This sample may lead to voluntary response bias because drivers can choose to call the phone number and register an opinion.

A sampling bias can be defined as a type of bias in which members of an intended population are selected in such a way that some members have a higher or lower sampling probability (chances) than the other members.

This ultimately implies that, a sampling bias would occur when members of an intended population are selected incorrectly and as such resulting in a sample that is not representative of the entire population.

Generally speaking, a voluntary response sample is a data-collection technique (method) that is always biased because it only include individuals who choose to volunteer, unlike a simple random sample.

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Answer:

(-1,3)

Step-by-step explanation:

Where the two lines intersect, they have equal values

-4x-1       =      -2x + 1

-2 = 2x

x = -1    

  Now, you have 'x'  ....use this value in either of the equations to find 'y'

-2 (-1) + 1 = y = 3  

(-1,3)

Yes. Because Mound 1 and Mound 2 form a pair of corresponding angles with that red transversal line (lane). Corresponding angles are congruent and parallel to each other.

1) Since both mounds share the same measure of the angle, then we can say that those mounds are yes, parallel to the lane since they both corresponding angles, and corresponding angles are parallel and congruent to each other.

2) So the answer is :

Yes. Because each mound 1 and Mound 2 form a pair of corresponding angles with that red transversal line. Corresponding angles are congruent and parallel to each other.

Prove that Tringle ABC is congruent to tringle GEC

A histogram is a representation that organizes a group of data points into specified ranges.

For the given data:

4, 18 , 20, 17, 16, 23, 19, 14, 8, 8, 6, 12, 20, 14, 18

Answer:

x = 4.8

Step-by-step explanation:

Area = Length times width

12 = 2.5x  Divide both sides by 2.5

4.8 = x

Solution:

The equation in the question is given below as

Step 1:

Expand the brackets in the qu

There are 12 inches in a foot.

To convert 120 inches to feet we can use the next proportion:

Solving for x:

x = 1*120/12

x = 10 feet

From the problem, we are given a point (8, -6) and an equation y = 4x + 7

The equation we are to obtain is perpendicular to y = 4x + 7

In Mathematical terms, it means the slope of the given equation and the one we are to find follow the relation:

slope of the given equation = 4

The required equation passes through a point (8,-6)

The formula for obtaining the equation with a given slope that passes through a point is given as :

By substituting;

The equation in slope-intercept form is y = -0.25x - 4

The value of inverse trigonometric function  θ = sin-1(-.5) is 30°

What is an inverse trigonometric function?

The inverse trigonometric functions perform the opposite operation of the trigonometric functions such as sine, cosine, tangent, cosecant, secant, and cotangent. We know that trigonometric functions are especially applicable to the right angle triangle.

Here, the given inverse trigonometric function is  θ = sin⁻¹(0.5)  

Now solving the given inverse trigonometric function by consider 0.5 value in terms of sine that is :

0.5 = sine (30°)

Now, substituting back this value in place of 0.5 and solve for θ :

θ = sin⁻¹(0.5)  

θ = sin⁻¹(sin(30°))  

Now the inverse of sinθ is θ itself

θ = 30°

Therefore, The value of inverse trigonometric function  θ = sin-1(-.5) is 30°.

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According to the commutative property, the numbers we use can be moved around or swapped around without changing the solution. For addition and multiplication, the principle is true, but not for division or subtraction.

4x-3

 Is x=2

4(2)-3

This uses the ___ attribute?

Answer:

(5,-5) commutative property of subtraction property is used.

Example:

It can be commutative if you retain the negative with the 2 and the positive with the 5. Edited: Subtraction is not a commutative operation; for example, 5-2=3 and 2-5=-3. The order of addition or subtraction does not important, though, if you maintain the sign of the integer, as in +5-2=3 and -2+5=3, for example. 

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Here, we want to deduce the equation of the blue graph

From what we have, we can see that the image of the f(x) was moved 2 units to the right and 1 unit upwards

What this mean is that, we have 1 added to the y value and 2 added to the x value

So, the equation of the blue graph is

Answer:

35  5/9 cm total

Step-by-step explanation:

24 +   8   +  8/3  +    8 / 9   =  35  5/9 cm

Distance is the total movement of an object without any regard to direction. Total distance jogged by Linsey is 420 yards.

What is distance?

Distance is the total movement of an object without any regard to direction

Given data

vertex 1 is at ( -4, - 1)

vertex 2 is at ( - 4, 5)

vertex 3 is at (2,5)

vertex 4 is at ( 2, -1 )

Lindseys jogs along the edge of the park in order from vertex 1 to the vertex 2 , vertex 2 to vertex 3 and vertex 3 to vertex 4 and then back to vertex 1. One unit in the coordinate grid is 20 yards.

Let us calculate distance vertex 1 and vertex 2of (-4,-1) and (-4,5)

x₁=-4,x₂=-4, y₂=5, y₁=-1

Distance=√(x₂-x₁)²+(y₂-y₁)²

Substitute the values x₁=-4,x₂=-4, y₂=5, y₁=-1 in distance formula

=√(-4+4)²+(5-(-1))²

=√6²

=6

Since 1 one unit on the coordinate gride equal 20 yd.

so 6×20=120 yards.

Now for four vertices we get 4×120=480 yards.

So total distance jogged by Linsey is 420 yards.

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Answer:

3√2

Step-by-step explanation:

[tex] \sqrt{ {(6 - 9)}^{2} + {(9 - 6)}^{2} } [/tex]

[tex] \sqrt{ {( - 3)}^{2} + {3}^{2} } [/tex]

[tex] \sqrt{9 + 9} = \sqrt{2 \times 9} = \sqrt{2} \sqrt{9} = 3 \sqrt{2} [/tex]

ANSWER:

STEP-BY-STEP EXPLANATION:

Mason added 19/12 cups of chips to his sundae.

We know that Mason has a sundae and he put:

To get the total number of chips, we just need to add these fractions (except the one for the milk chocolate chips, as these are removed).

Then we will get:

Total = 1/3 + 3/4 + 1/2 = 4/12 + 9/12 + 6/12 = 19/12

Where we used the common denominator 12 to add the fractions.

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The space shuttle travels about 6713 miles per hour. Rounded to the nearest mile, this is approximately 6713 miles per hour.

What is a radius ?

In mathematics, the radius is a term used to describe the distance from the center of a circle or a sphere to any point on its surface. It is denoted by the letter "r".

The orbit of the space shuttle is circular, so the distance it travels in one orbit is equal to the circumference of the circle with a radius of 275 + 4000 = 4275 miles (275 miles above the Earth's 4000 mile radius).

The circumference of a circle is given by the formula C = 2πr, where r is the radius of the circle and π is the mathematical constant pi (approximately 3.14). Therefore, the distance traveled by the shuttle in one orbit is:

C = 2π(4275) ≈ 26851 miles

Since the shuttle orbits once every 4 hours, its average speed is:

distance/time = 26851/4 ≈ 6713 miles per hour

Therefore, the space shuttle travels about 6713 miles per hour. Rounded to the nearest mile, this is approximately 6713 miles per hour.

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The equation for g(x) is g(x) = x²-3

When x=0, f(x)= 0 and so has a vertex at (0,0)

Given that g(x) is a shifter version of f(x) and has a vertex at (0,-3), g(x) must be shifted down the y axis such that g(x)= x2+c when x=0 and g(x)= -3 -3=0+c c=-3 when x=3.

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SOLUTION

Given the following

Consider the image below

To solve the right triangle, we need to find the following:

To find B, we use the sum of angles in a triangle

hence

Substituting into the equation we have,

Subtract 136.5 from both sides

hence

B = 43.5°

To find b, we use the trigonometry ratio for tangent

From the triangle above

Substituting into the equation

Then

hence

b = 1.8in to 1 decima place

To find c, we also apply trigonometry ratio for sine of an angle

Substituting the values into the equation we have,

Divide both sides by 1.9, we have

hence

c = 2.6 in

Therefore, to solve the right triangle, we have

Answer; B = 43.5°, b = 1.8in, c = 2.6 in

Given:

The distance to the door from your desk is d meters.

Your first step is 1/6 that distance =

Each successive step is 1/6 the previous distance.

so, the second step =

The third step =

And so on,

So, for the step number n, the formula will be :

So, for 8 steps

You will have traveled =

For 12 steps =

For 20 steps =

For n steps =