Determine the domain and range for the relation

Answer:

i think its 17

Step-by-step explanation:

That  would beeeeeeeeeeeeeeeeeee 4x - 1

Answer:

15

Step-by-step explanation:

If f(x) = -3x + 4, then plugging in -5 for x gives f(-5) = -3(-5) + 4 = 15. Therefore, the correct answer is 15.

The equivalent expression of  2x√44x - 2√11x  is 2x√11x

An equivalent expression can be find when simplified or factorised.

An expression is a combination of numbers, variables, functions (such as addition, subtraction, multiplication or division etc.)

In other words, an expression or algebraic expression is any mathematical statement which consists of numbers, variables and an arithmetic operation between them.

The expression equivalent to 2x√44x - 2√11x is as follows:

2x√44x - 2√11x

factorise

2x√44x - 2√11x = 2(x√44x - √11x³)

Hence,

2(x√44x - √11x) = 2(x√4 × 11x  - √11x³)

2(x√4 × 11x  - √11x) =  2(2x√11x  - x√11x)

Therefore,

2(2x√11x  - x√11x) = 4x√11x - 2x√11x

4x√11x - 2x√11x = 2x√11x

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Answer:

9.26 per quart

Step-by-step explanation:

A 3-gallon bucket of paint costs $111.12.

  Find the price of per quart.

3 gallons equal 12 quarts. We divide 111.12 for 12 quarts by 12:

111.12 / 12 = 9.26

Answer:

it's b or a or a or c or b or a or c or d or d

The fraction of magazines that were delivered to families who were home written as a decimal is 0.4

Difference between fraction and decimal?

Total number of families = 25

Number of families in home = 10

Then, number of families away = 25 - 10 = 15

Fraction of magazines that were delivered to families who were home

= Number of families in home/ Total number of families

= 10 / 25

= 0.4

Hence, the fraction of magazines that were delivered to families who

were home written as a decimal is 0.4

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Answer: - 2 < x < 8/7

Explanation:

The given expression is

I7x + 3I < 11

It can be written as

- 11 < 7x + 3 < 11

Subtracting 3 from all sides, it becomes

- 11 - 3 < 7x + 3 - 3 < 11 - 3

- 14 < 7x < 8

Dividing all sides by 7, it becomes

- 14/7 < 7x/7 < 8/7

- 2 < x < 8/7

The correct alternative that, matches the correct value of this expression is the letter D. That is, the answer will be -50.

To find the value of this expression, let's eliminate the parentheses and extract the numbers.

To find the value of this expression, let's eliminate the parentheses, and add the numbers, where the signs are equal.

_ When the signs are the same: just add them up.

_ When the signs are different: just subtract.

\(\large \sf =-46 + (- 4)\)

\(\large \sf =-46-4\)

\(\boxed{\boxed{\large \sf -50 }}\)

So, the numeric value of this numeric expression will be -50.

Given the function:

Where:

v(t) represents the value of the house after t years.

Let's find the following:

• (a). Find the initial value of the house.

Apply the exponential function:

Where:

a is the initial value

b is the growth of decay factor.

Here, we have:

a = 637000

b = 1.02

Therefore, the initial value of the house is 637,000 dollars.

• (b). Does the function represent growth or decay?

If b is greater than 1 the function represents a growth function.

If b is less than 1, the function represents a decay function.

Here, we have:

b = 1.02

Therefore, the function represents a growth function.

• (c). By what percent does the value of the house change each year?

Apply the formula:

Where r is the growth rate.

Thus, to find r, we have:

1 + r = 1.02

r = 1.02 - 1

r = 0.02

The growth rate is 0.02

To convert the rate to percent multiply by 100:

Growth percent = 0.02 x 100 = 2%

Therefore, the value of the house increases by 2% each year.

ANSWER:

• (a). 637000 dollars

• (b). Growth

• (c). 2%



ANSWER:

• (a). 637000 dollars

,

• (b). Growth

,

• (c). 2%

Answer:

-1/2

Step-by-step explanation:

We know

The dilation of K(-2,4) equals K'(1,-2)

To get from -2 to 1, we time -1/2

To get from 4 to -2, we time -1/2

So, the scale factor used for the dilation is -1/2

Answer:

2583 i think

Step-by-step explanation:

Answer:

(-6, 1)

Step-by-step explanation:

Since DE to DF is 5:8, we need to add 5/8 of the difference in x- and y-coordinates to the coordinates of point D to find point E.

Difference in x from D to F:

-9 - (-1) = -8

5/8 * (-8) = -5

Difference in y from D to F:

-5 - 11 = -16

5/8 * (-16) = -10

x: -1 - 5 = -6

y: 11 - 10 = 1

Answer: (-6, 1)

The coordinates are (-6, 1).

When a point divides a line segment externally or internally in some ratio, we use the section formula to find the coordinates of that point. It is a handy tool used to find the coordinates of the point dividing the line segment in some ratio. This section formula can also be used to find the midpoint of a line segment and for the derivation of the midpoint formula as well.

Given:

D(-1,11) and F(-9,-5)

DE : DF is 5:8

So,

DE: EF= 5 : 3

Using section formula

x= 3*(-1) + 5*(-9)/5+3

x= -3 -45 /8

x= -48/8

x= -6

and,

y= 3*11 + 5*(-5) / 8

y= 33-25/8

y= 8/8

y=1

Hence, the coordinates are (-6, 1).

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The amount that you need to save per month to fund the emergency fund would be $ 861. 58.

The discretionary money left per month would be $ 585. 88.

The gross income for the month :

= 17. 50 x 40 per week x 4 weeks a month

= $ 2, 800

The amount left which is realized funds for the month is:

= Gross income - FICA + Federal tax withholding + State tax withholding

= 2, 800 x ( 1 - 26. 15 %)

= $ 2, 067. 80

Five months of realized income for the emergency fund is:

= 2, 067. 80 x 5

= $ 10, 339

The amount to save per month is:

= 10, 339 / 12

= $ 861. 58

The amount left per month for discretionary expenses ;

= 2, 067. 80 - 861. 58 - 620. 24 rent

= $ 585. 88

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Answer:

f ( - 2 ) = - 2

Step-by-step explanation:

Step 1:

f ( x ) = 3x + 4        Equation

Step 2:

f ( - 2 ) = 3 ( - 2 ) + 4     Input x value

Step 3:

f ( - 2 ) = - 6 + 4       Combine Like Terms

Answer:

f ( - 2 ) = - 2          Combine Like Terms

Hope This Helps :)

Answer:

Using PEMDAS we can see that P or parenthesis is first so we would subtract 5 from 5 in the beginning.  That would result in a 0 which would then get multiplied with 12 to still have 0.

\(12(5-5) + 3 * 5\)

\(12(0) + 3 * 5\)

\(0 + 3 *5\)

Now that we completed that part, the only thing that we have left to do is to multiply the last two numbers, 3 and 5.

\(3*5\)

\(15\)

Therefore, our final solution is 15.

Hope this helps!

Answer:

10

Step-by-step explanation:

If n = 11 and p = 5, we can just substitute the values in for n and p in the equation 18 - n - 2 + p.

The new equation would be 18 - 11 - 2 + 5.

Using PEMDAS, we get the answer of 10.  

18 - 11 = 7

7 - 2 = 5

5 + 5 = 10

Hope this helps!

The value of x in this problem, considering the intersecting chords, is given as follows:

x = 10.

A chord of a circle is a straight line segment that connects two points on the circle, that is, it is a line segment whose endpoints are on the circumference of a circle.

When two chords intersect each other, then the products of the measures of the segments of the chords are equal.

Hence the value of x is obtained as follows:

12x = 15 x 8

12x = 120

x = 10.

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In this case, the amount of the paint that she used to paint her room is 4 1/2 of the paint

Here are the general steps to follow when forming an equation from a word problem:

Read the problem carefully and identify the quantities and variables involved. Look for keywords that indicate the mathematical operation to be performed, such as "sum", "difference", "product", "quotient", "is", "was", "will be", "more than", "less than", "equal to", etc.

Translate the words into mathematical expressions and equations. Use the quantities and variables identified in step 1 to form equations. Assign variables to unknown quantities, and use algebraic symbols and operations to represent the relationships between the quantities.

Solve the equations to find the answer to the problem. Simplify the equations and solve for the unknown variable. Check your answer to make sure it makes sense in the context of the problem.

1) 5 * 19/4

= 95/4

23 3/4

2) Total weight = 3(14/3) + 5(15/2)

14 + 75/2

28 + 75/2

= 51  1/2 pounds

3) x = 45/8 *  4/5

= 9/2

= 4 1/2

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The required expression is (x / 5) + 9

Given that we have to build an equation for the statement "9 more than the quotient of x and 5,

So,

This expression represents the quotient of x divided by 5, and then adding 9 to the result.

Therefore,

"9 more than the quotient of x and 5" can be written mathematically as:

(x / 5) + 9

Hence the required expression is (x / 5) + 9

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The Slope-Intercept form of an equation of a line, is:

Where "m" is the slope and "b" the y-intercept.

You know that this line passes through the point (-1,3) and its slope is 2. Then:

Substitute these values into the equation and solve for "b":

Knowing "m" and "b", you can determine that the Slope-Intercept form of the equation of this line, is:

Since the value of "y" is zero when a line intersects the x-axis, you can substiute that value into the equation in Slope-Intercept form and solve for "x", in order to find the x-intercept:

The Standard form of the equation of a the line, is:

Where "A", "B" and "C" are Integers ("A" must be positive).

So, the Standard form of this equation is:

Therefore, the answers are:

a) Slope-Intercept form:

b) Standard form:

c) x-intercept:

d) y-intercept:

Answer: The percentage of people surveyed who liked blue cars is 50%.

Step-by-step explanation:

Total number of people partaking in survey= 36

number of people who like blue cars= 18

therefore, fraction of people who liked blue cars= \(\frac{18}{36}\)

hence, percentage of people who liked blue cars= (18/36)*100 %

                                                                                  = 50%  

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Answer:

Percentage of people who like blue-coloured cars is 50%

Number of people who were surveyed=36

Number of people who like blue-colored cars=18

Therefore, Percentage of people who like blue cars= (Number of people who like blue cars/ Number of people who were surveyed)*100

=(18/36)*100

=50%

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According to the quantity theory of money, changes in the money supply will lead directly to changes in the price level if velocity and real GDP are unaffected by the change in the money supply.Velocity can change over time, and changes in velocity may be caused by various factors.

For example, changes in velocity can be caused by shifts in payment practices, changes in the use of credit, changes in the availability of bank deposits or cash, or shifts in demand patterns.Changes in velocity may be related to changes in the money supply.

For example, if the money supply increases, the demand for money may increase, causing the velocity of money to decrease. Conversely, if the money supply decreases, the demand for money may decrease, causing the velocity of money to increase.

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The value of this constant, by assuming that the pressure at some reference height y₀ is p₀, is p - p₀ = p.g(y₀ - y).

dp = -pg dy

At height y = y₀ and p = p₀

∫dp = ∫-pg dy

⇒p = -pgy + C        Eqn(1)

Where c is the constant of integration

We know that y = y₀ and p = p₀

⇒p₀ = -pgy₀ + C

⇒C = p₀ + pgy₀

Put the value of C in Eqn(1)

⇒p = -pgy + p₀ + pgy₀

⇒p - p₀ = -pgy + pgy₀

⇒p - p₀ = pg(y₀ - y)

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Answer:

A. Z = 2 + N13

Step-by-step explanation:

Let's solve your equation step-by-step.

0=z2+4z−9

Step 1: Subtract z^2+4z-9 from both sides.

0−(z2+4z−9)=z2+4z−9−(z2+4z−9)

−z2−4z+9=0

For this equation: a=-1, b=-4, c=9

−1z2+−4z+9=0

Step 2: Use quadratic formula with a=-1, b=-4, c=9.

z=

−b±√b2−4ac

2a

z=

−(−4)±√(−4)2−4(−1)(9)

2(−1)

z=

4±√52

−2

z=−2−√13 or z=−2+√13

The distance between the points (-1, 5) and (-7, -3) is 10 units.

The distance formula used in finding the distance between two points is expressed as;

D = √( ( x₂ - x₁ )² + ( y₂ - y₁ )² )

Point 1 (-1,5)

Point 2 (-7,-3)​

Plug the given values into the distance formula and simplify.

D = √( ( x₂ - x₁ )² + ( y₂ - y₁ )² )

D = √[(-7 - (-1))² + (-3 - 5)²]

D = √[(-7 + 1)² + (-3 - 5)²]

D = √[-6² + (-8)²]

D = √[36 + 64]

D = √100

D = 10

Therefore, the distance is 10 units.

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Answer: 4

Step-by-step explanation:

1 third of 30 is 10 and 2/5s of 10 is 4

Answer:

y = 3 (x - 7)

But it can be written as

(y - 0) = 3 (x - 7)

comparing this equation with

we get

Therefore, Harold used the point (7, 0)

Step-by-step explanation:

Answer:

The linear equation in point-slope form is

y-10 = 3(x-5)

Step-by-step explanation:

Given

We know that the point-slope form of the line equation is

\(y-y_1=m\left(x-x_1\right)\)

where m is the slope and (x₁, y₁) is the point

substituting the values m = 3 and the point (5, 10)

y-10 = 3(x-5)

Thus, the linear equation in point-slope form is

Answer:

Following are the responses to the given question:

Step-by-step explanation:

Follows are the description of the null and alternative Hypothesis:

\(H_0: \mu = 148.4\\\\H_a: \mu \neq 148.4\)

Region of rejection

\(\alpha = 0.01\\\\ df = 49\\\\\)

Calculating the critical value:

\(t = \pm 2.68 \\\\H_0\ when\ t < -2.68 \ or\ t > 2.68\)

Testing statistic values:

\(t = \frac{(\bar{x} - \mu)}{(\frac{s}{\sqrt{n}})}\)

  \(= \frac{(147.8 - 148.4)}{(\frac{2.3}{\sqrt{50}})}\\\\ = \frac{-0.6}{(\frac{2.3}{7.07})}\\\\= \frac{-0.6}{0.325}\\\\ = -1.846\)

\(P-value = 0.0711\)

\(P-value \geq 0.01,\) fail to reject null hypothesis.

There are just not enough evidence of increases in surface times.

A relation may or may not represent a function.

The costs are given as:

(a) The mapping diagram

To do this, we simply point the number of movies, to the corresponding costs, using arrows

See attachment for the mapping diagram.

(b) Is the relation a function

From the attached mapping, we can see that:

The costs of each movie are different.

This means that: the relation is a function.

(c) Describe the pattern

Notice that as the number of movies increases, the cost also increases;

However, the unit cost decreases.

Hence, the unit cost of each movie decreases as the number of movies increases.

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