Point C is located at (4, -2). It is translated 3 units to the left and 4 units up. Graph the location of the translated point.

Answer:

4/4,6/6 etc

Step-by-step explanation:

multiply both numerator and denominator with the same number

Hello!

First, let's write the information that we know and then each event:

When we use the interception symbol (∩), it means that we want to know which numbers are part of both sets simultaneously.

Let's calculate it:

Step 1

Given;

Step 2

The exponential function for the question is

Step 3

The initial value in this problem is;

Step 4

The growth rate factor as a decimal will be;

Step 5

What is the n value or a number of time periods?

Step 6

How many will there be in 9 years

ANSWER:

STEP-BY-STEP EXPLANATION:

If n is the number of days that pass.

So each day Sam gets 4 more, which means that he would multiply the number of days by 4, before adding that number to the original number of pennies, which was 16.

Therefore, the equation would be:

The nth term of an arithmetic sequence is :

From the problem, we have :

Substitute a5 and n = 5 :

Rewrite the equation as d in terms of x and a1 :

Subsitute a9 and n = 9

Rewrite the equation as d in terms of x and a1 :

Now, equate two equations of d :

The answer is a1 = -4x-15

If the 5th term of an arithmetic sequence is a5=4x−3. The 9th term of the sequence is a9=12x+9. The first term of the sequence is -4x-15

a sequence is an enumerated collection of objects in which repetitions are allowed and order matters.

The nth term of AP

aₙ=a+(n-1)d..(1)

From give we have,

a₅=4x−3

a₉=12x+9.

Substitute n=5 in (1)

a₅=a+4d

4x-3=a+4d

4d=4x-3-a

d=4x-3-a/4...(2)

Substitute n=9 in (1)

a₉=a+8d

12x+9=a+8d

12x+9-a/8=d..(3)

Equate 2 and 3

4x-3-a/4=12x+9-a/8

8(4x-3-a)=4(12x+9-a)

32x-24-8a=48x+36-4a

32x-24-8a-48x-36+4a=0

-16x-4a-60

-16x-60=4a

a=-4x-15

Hence the first term of the AP sequence is -4x-15

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Answer

Check Explanation

Explanation

To reflect a point A (x, y) over the y-axis, the new coordinates become A' (-x, y)

For the point B(x, y) over the x-axis, the new coordinates become B'(x, -y)

So, reflecting the point (1, -4) over the y-axis, we have (-1, -4)

Reflecting the point (1, -4) over the x-axis, we have (1, 4)

Reflecting (1, -4) over both x-axis and then y-axis, we have (-1, 4)

Hope this Helps!!!

Given:

The total number of seats, T=750.

Let x be the number of seats in a row and y be the number of rows.

It is given that the number of seats in a row is 5 less than the number of rows.

Hence, the number of seats in a row can be expressed as,

Now, expression for the total number of seats can be given by,

Plug in x=y-5 and T=750 in the above equation and simplify.

The equation (1) is in the form of a quadratic equation of the form,

Comparing equations (1) and (2), a=1, b=-5 and c=-750.

Now, using discriminant method, the solution of y can be expressed as,

Since the number of rows cannot be negative, y=30.

Put y=30 in equation (a) to find x.

Therefore, the number of seats in a row is 25.

Given the points (-3,-5) and (1,-3), we can derive the equation of the line using the formula:

This corresponds to option A

We are given the expression (5/6x + 4)^2 and we are asked to express it as a trinomial in the simplest form.

To do this, we will be using the FOIL method. FOIL stands for First-Outer-Inner-Last.

The product will then be:

So, the final answer is 25/36 x^2 + 20/3 x + 16.

The ratio of boys to girls in our class is 12:10

that means

12 divided by 10

so

12/10

simplify

6/5 or 6:5​

To calculate the amount of each semimonthly paycheck, we need to find the actual amount of money Flora actually receives annually.

Her income is $18500, but $6500 are deducted. Then:

The actual money she receives in one year, after deductions, is $12000.

If she receives semimonthly paychecks, we need to bear in mind that in total she receives 24 paychecks in one year. This considering that semimonthly means that she receives two paychecks in a month.

Then, we just need to divide $12000 by 24 to obtain the amount of each paycheck:

The amount of each paycheck is $500.

The correct answer is option a.

We have to find the value of x, such that the function:

takes the value -24. This means that such x has to satisfy:

Now, we just clear out the variable x. We obtain:

This means that the value x=-4 makes the function f to be -24.

The quadrilateral is a rectangle because

1) GH is parallel and equal to JI

2) GJ is parallel and equal to HI

3) Angles at the vertices are perpendicular

Given,

The data table of the gender and its type is shown in question tab.

Required

P(male or Type B)

P(Male| type B)

The value of P( male or Type B) is calculated as,

The value of P(Male|Type B) is calculated as,

Here, P( male or Type B) < P(Male|Type B) .

Hence, option (P( male or Type B) < P(Male|Type B) ) is correct.

We have the following function f(x) = x^3+2x^2 -18. We want to solve the following equation

By subtracting 9 on both sides, we get the equivalent equation

We are given the following radical expression

Let us simplify it using the properties of radicals.

The quotient property of radicals is given by

Let us apply the above property

Further simplifying the radical

The cube root of 1 is 1 and the cube root of 64 is 4

Therefore, the correct options are

Solution

- The Cosine law is given below as:

- We can make [tex]\begin{gathered} a^2=b^2+c^2-2bc\cos\angle A \\ \text{ Subtract }b^2\text{ and }c^2\text{ from both sides} \\ \\ a^2-b^2-c^2=-2bc\cos\angle A \\ \\ \text{ Divide both sides by }-2bc \\ \cos\angle A=\frac{a^2-b^2-c^2}{-2bc} \\ \text{ } \\ \text{ Take the cos inverse of both sides} \\ \\ \therefore\angle A=\cos^{-1}(\frac{a^2-b^2-c^2}{-2bc}) \end{gathered}[/tex]

Final Answer

The answer is

Given:

To find:

The correct function.

Explanation:

Let us consider the function given in option D.

Differentiating with respect to x we get,

Substituting x = 2 in the function f(x), we get

Therefore, the given conditions are satisfied.

So, the function is,

Final answer: Option D

(7)

Given the equation;

A binommial is a polynomial that is the sum of two terms, that is;

Thus;

is a binommial that is a product of sum and difference of two terms.

CORRECT OPTION: D

In order to find the amount of blue paint needed, we can write the following rule of three:

First, let's convert the mixed number into an improper fraction:

From this rule of three, we can write the following equation and solve it for x:

Therefore the upper menu is 7 and the left menu is 11.

Given data:

The given figure of cylinder.

The total surface area of the cylinder is,

Substitute the given values in the above expression.

STEP 1: Identify and Set up.

We have a quadratic equation and are asked to solve, i.e, solve for x. We approach this problem via the factoring method.

We look for two factors of the third term, c that add up to the coefficient of x, favtorise and solve.

STEP 2: Execute

x = 9 and x = 6

Answer:

D. 0.32

Explanation:

The probability of a person driving while intoxicated or having a car accident can be calculated as:

So, replacing P(Intoxicated) = 0.28, P(Accident) = 0.08 and P(Intoxicated and Accident) = 0.04, we get

Therefore, the answer is

D. 0.32

The bag contains,

Red (R) marbles is 9, Green (G) marbles is 7 and Blue (B) marbles is 4,

Total marbles (possible outcome) is,

Let P(R) represent the probablity of picking a red marble,

P(G) represent the probability of picking a green marble and,

P(B) represent the probability of picking a blue marble.

Probability , P, is,

Probablity of drawing a Red marble (R) and then a blue marble (B) without being replaced,

That means once a marble is drawn, the total marbles (possible outcome) reduces as well,

Hence, the best option is G.

the distance between the points is

rounding off to nearest tenth

d = 11.4

A line has an x-intercept of 12 and a y-intercept of -4. What is the equation of the

line?

that means

we have the points

(12,0) and (0,-4)

Find the slope

m=(-4-0)/(0-12)

m=-4/-12

m=1/3

Find teh equation in slope intercept form

y=mx+b

we have

m=1/3

b=-4

therefore

1) True

2) False

3) True

4) False

5) False

Domains are indepedent variables for which a function exists while the range are dependent variables for which a function exist.

Foa a given coordinates (x, y), all the sets of first coordinates are the domain while all the sets of second coordinates are the range;

All functions are also known as relations but not all given relations are function.

Based on the explanations above, then;

1) A relation is a set of ordered pairs is TRUE

2) The set of all the first coordinates is called is range is FALSE

3) All functions are relations is TRUE

4) The set of all the second coordinates is called is domain is FALSE

5) All relations are function is FALSE

Convert 54.158 degrees

Firstly, Use the whole number as degree

54 degree

to convert to minutes

(54.548 - 54) x 60

= 0.158 x 60

= 9 minutes

To convert to seconds

(54.158 - 54 - 9/60) x 3600

= (0.158 - 0.15) x 3600

= 0.008 x 3600

= 28.8 seconds

This can be written as

To calculate the probability of an event we would use the probability formula as follows;

From the experiment conducted, 10,000 people took the driving test and 6500 passed the test on the first attempt. Therefore, to find the probability that a person randomly selected would pass the driving test on first attempt;

ANSWER:

The second option is the correct answer.