43/1/2 divided by 1/1/4

If the graph shows a constant function, the value of f(x) will always be the same no matter which value does x take. It means: to graph the transformation of this function do an horizontal translation right 3 units (which would show the same graph, basically) and then do a vertical translation up 2 units

Answer:

-2 and -10

Explanation:

There are two numbers at a distance of 4 units from -6, the number that is 4 units to the right and the number that is 4 units to the left.

So, the number that is 4 units to the right is equal to

-6 + 4 = -2

And the number that is 4 units to the left is equal to

-6 - 4 = -10

Therefore, the numbers are -2 and -10 and they are represented as

We are asked to determine the equation of a line that is perpendicular to the line:

This is the equation of a horizontal line therefore a perpendicular line is a vertical line. Therefore, it must have the form:

The value of "k" is determined by a point "x" where the line passes. Since the line passes through the point (-5, 4), this means that the equation of the line is:

And thus we have determined the equation of the perpendicular line.

The equation that we can be used to find the number of cars that Mr. Diaz sold is  [tex]\frac{3}{4}x[/tex]−[tex]8=28[/tex].

Ms Wong sold cars = 28.

She sold [tex]8[/tex] fewer cars that is 3/4 as many cars as Mr. Diaz.

Let Mr. Diaz sold [tex]x[/tex] cars.

Cars is 3/4 as many cars as Mr. Diaz so the term [tex]3/4x[/tex].

She sold 8 fewer cars.

Now from the statement the Ms Wong sold cars [tex]\frac{3}{4}x[/tex]−[tex]8[/tex].

As it is given that Ms Wong sold 28 cars.

So the equation must be

[tex]\frac{3}{4}x[/tex]−[tex]8=28[/tex]

So equation that we can be used to find the number of cars that Mr. Diaz sold is  [tex]\frac{3}{4}x[/tex]−[tex]8=28[/tex].

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c = 15

The perimter, P = 37

The side lengths of the triangle are:

a = 10, b = 12, c = ?

The perimeter of the triangle is given by the formula:

P = a + b + c

Substitute a = 10, b = 12, and P = 37 into the formula P = a + b + c and solve for c

37 = 10 + 12 + c

37 = 22 + c

c = 37 - 22

c = 15

ANSWER and EXPLANATION

We have the graph of the function f(x) given.

We want to find 2 points that will represent f(x) - 2.

This (f(x) - 2) is a transformation of the function f(x).

It is called a vertical translation. It means that the function moves on the y axis.

It is generally represented as:

f(x) + b

Comparing the required translation with the general form, we can conclude that there is a -2 shift on the y axis.

Therefore, to find two points for the new function, we have to simply pick two points from the given graph and subtract 2 from their y coordinates.

Let the two points be:

(0, 1) and (-4, 4)

Therefore, the two points will be:

(0, 1) => (0, 1 - 2) = (0, -1)

(-4, 4) => (-4, 4 - 2) = (-4, 2)

Plotting them:

The green line is the line of the new function.

group A contains 75 people

Two-fifths of the people in group A (75*2/5=30) win $20 fuel cards.

so there are 30 fuel cards and 75-30=45 non-winners in group A

group B are 154 people and the same number of fuel cards, so 30

the number of non-winners in group B is 154-30=124

So the ratio of no winners in group A to nonwinners in group B is:

45/124

Answer:

first blank: 72°

2nd blank: 96

next line: 84

last: 12

Step-by-step explanation:

The two marked angles are called same-side interior angles or consecutive angles.

They add up to 180°

Thats how you know how to set up the equation.

72° + 7x + 24 = 180

Add the plain numbers (the 72 and 24)

7x + 96 = 180

subtract 96 from both sides.

7x = 84

Divide both sides by 7.

x = 12

Explanation

To begin with, we will first have to obtain the length of side VX

In our case

Thus

Next, we will determine the angles at V and X

using sine rule

Then, we will get the measure at X

Therefore, the order from smallest to largest angles will be

m

OR

m

since the smallest number is 2, and 2 can go into itself and 2 also can go into 10, that is the largest common number

We can not make the number go any smaller since any number divied by one will equal itself

so that means

use the definition of sec and write it in terms of cos

multiply both sides by cos

then we know that r*cos is equal to x in the cartesian

The situation forms a right triangle:

Where x is the distance traveled.

We can apply the Pythagorean theorem:

c^2 =a^2 + b^2

Where:

c= hypotenuse = x

a & b= the other 2 sides = 5 ,12

Replacing:

x^2 = 5^2 + 12^2

x^2 = 25+144

x^2 = 169

x= √169

x= 13

Distance traveled = 13 miles

A die can have 6 possible outcomes.

The probability of an event is calculated using the formula:

Therefore, the probability of rolling a 1 is gotten to be:

The probability is 1/6.

One way to find the inverse of a function is by first swapping x and y, then solving for y, like this:

Now, let's solve for y, like this:

Then, the inverse function of y = (x-4)^2+2​ is:

By using polynomial rule we can get  6x^4-7x^3+3x^2+17x-14

What is polynomial rule?

All exponent in the algebraic expressions must be non-negative integer in order for the algebraic expressions to be a polynomial.

A polynomial is defined as per an expression which is the  composed of variables, constants and exponents, that are combined using the  mathematical operations are  such as addition, subtraction, multiplication and division.

Sol- (3x^2-5x+7).(2x^2+x-2)

(3x^2-2x^2+3x^2.x-3x^2.2)-5x.2x^2-5x.x+5x.2+7.2x^2+7.x-14

{polynomial multiplication rule}

=6x^4+3x^2-6x^2-10x^3-5x^2+1x+14x^2+7x-14

{Plus or minus with the same x coefficient}

We are get=

6x^4-7x^3+3x^2+17x-14

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Take into account what the company pays per 100 cards ordered, which is $9.00.

To determine the cost of the cards for Karen and Lamar

The values of the functions are:

a. (f + g)(x) = x² + 3x + 5

b. (f - g)(x) = x² - 3x + 5

c. (f * g)(x) = 3x³ + 15x

d. (f/g)(x) = (x² + 5)/3x.

For any given function, we can evaluate the function by plugging in the equation of each of the functions in the given expression.

Thus, we have the following given functions:

f(x) = x² + 5

g(x) = 3x

a. Find the value of the function for the expression (f + g)(x).

We are required here to add the expression for each of the functions, f(x) and g(x) together, which is:

(f + g)(x) = (x² + 5) + (3x)

(f + g)(x) = x² + 3x + 5

b. Evaluate (f - g)(x) by subtracting the function g(x) from f(x):

(f - g)(x) = (x² + 5) - (3x)

(f - g)(x) = x² - 3x + 5

c. Find (f * g)(x):

(f * g)(x) = (x² + 5) * (3x)

(f * g)(x) = x²(3x) + 5(3x)

(f * g)(x) = 3x³ + 15x

d. Find (f/g)(x):

(f/g)(x) = (x² + 5)/3x

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Since 1 meal is equivalent to 4oz, then 2 meals are equivalent to 8oz (4*2=8).

Now, one root (6oz) cost $2.99 and we need 8oz, then Ji-min must buy 2 roots because he cant buy parts of the root, that is

that is, Jim will spend $5.98 approximately.

The perimeter of a quadrilateral is given by the sum of all the sides.

In order to add mixed numbers, let's rewrite them as a sum of the integer part and the fraction part.

So we have:

Therefore the perimeter is 9 1/3 ft.

Answer:

24/25

Step-by-step explanation:

We are dividing 3/10 by 5/16

SOLUTION

The given statement is

"Some politicians are not crooked"

The equivalent statement is

Not all politicians are crooked

And

All politicians are not crooked.

The equivalent statement is

Not all politicians are crooked

And

All politicians are not crooked.

Answer:  Not all politicians are crooked

It is equivalent to saying that  "Some politicians are not crooked". Both are implying that not every politician is crooked and some of them are good.

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The annual interest on a daily basis with 19.5%, then the finance charge due on October 14 will be $623.

In the fields of finance and economics, interest is the payment made at a set rate by a borrower or deposit-taking financial institution to a lender or depositor in excess of the principal amount (the amount borrowed).

So, the finance charge will be;

(+) $ 562 due on sep 14, $ 562 x (19.5 x31) / (100 x 365) = $ 9.20

(+) purchase $ 283 on Sep 19, $ 283 x (19.5x26 ) / (100 x365) = $ 2.42

(+) finance charge on sep 28, $ 18 x(19.5 x17 ) / (100 x 365) = $ 0.17

(-) Repayment on 25 sep , $ 250 x (19.5 x20 ) / (100 x 365) = (2.745)

Finance charges from 14 sep to 14 oct will be $ 9.7= appr. 10

The Amount due on 14 October = $562 +$283 +$15+$11.855- $250

= $ 623

Therefore, The annual interest on a daily basis with 19.5%, then the finance charge due on October 14 will be $623

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Over the interval t = 3 to t = 4, g(t) increases.

The increasing factor (f) is computed as follows:

where g(4) is g(x) at t = 4, and g(3) is g(x) at t = 3. Substituting with the formula of g(t) and evaluating each expression, we get:

Then, g(t) increases by a factor of 4

Given:

1 counsellor for every 9 campers.

Lets' determine the type of variation and write the equation.

Here, we can see that for every 9 campers, there is one extra counsellor. This means that as the number of campers increase, the number of counsellors will also increase.

Since one variable as the other increases, this is a direct variation.

Hence, we have the equation which represents the direct variation below:

y = 9x

Where x represents the number of counsellors and y represents the number of campers.

ANSWER:

Direct variation.

y = 9x

We have

in order to know what expression is equivalent, we need to solve and simplify the expression above

Then we will solve the next expressions in order to find the equivalent expression

The natural phenomena that follows an elliptical motion is:

D.

The motion of the planets around the sun

Considering buying a home for $364,000 and paying 5% down payment.  The amount to be paid for loan is going to be $345 800

The following is gotten from the question:

cost of the home = $ 364 000

percentage to pay as down payment = 5 %

Solving for the down payment

The down payment refers to the initial payment and is a percentage, We convert the percentage to decimal as follows

5 % = 5 / 100

= 0.05

The percentage of the money is calculated by multiplying as follows

5 % of $364 000

= 0.05 * 364 000

= $18 200

Solving for the loan amount

The loan amount is calculated by subtracting the down payment from  the cost of home

= cost of the home - down payment

= $ 364 000 - $ 18 200

= $ 345 800

Conversion from percentage to decimal followed by multiplication helped to get the down payment, then subtracting the down payment from  the cost of home helped to get the loan amount to be $345 800

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In order to determne the scale factor, calculate the quotient in between the lengths of the sides of the rectangles, as follow:

32 ft/24 ft = 4/3

8 ft/ 6 ft = 4/3

Hence, the scale factor is 4/3