Plot the line for the equation on the graph.





y−4=−14(x−5)

Answer:

B. The records must contain sufficient information to cover all of your financial plan.

Step-by-step explanation:

For a set of financial records to be comprehensive, means - The records must contain sufficient information to cover all of your financial plan.

One should prepare all the strategies before hand and all the details of ones financial plans should be thoroughly examined , before implementing any plan.

x = Elgas age

2x = Alvins age

x +2x = 60

3x =60

x = 60/3 = 20

Elga is 20 years old

Final answer:

By setting Elga's age as x and establishing an equation based on the given relationship and sum of their ages, we calculated Elga's age to be 20 years old.

Explanation:

To determine Elga's age, we will use the information given:
1. Alvin's age is two times Elga's age.
2. The sum of their ages is 60.

Let's define Elga's age as x. Then, Alvin's age would be 2x since it is two times Elga's age. The sum of their ages can be written as the following equation:

x + 2x = 60

This simplifies to 3x = 60. To find Elga's age, we divide both sides by 3:

3x / 3 = 60 / 3

x = 20

Therefore, Elga's age is 20 years old.

since the 2 in 0.02 is in the hundredths place, you need to multiply that by 100 to eliminate the decimal, then you would need to multiply the other numbers by 100 as well

 Answer is D) 100

The decimals place in a number can be shifted right or left by multiplying or dividing by powers of 10 respectively

The option which gives the number that will multiply each term of the equation -m + 0.02 + 2.1·m = -1.45 - 4.81·m to eliminate the decimals before solving, is option D)

D) 100

Reason:

The given expression is presented as follows;

-m + 0.02 + 2.1·m = -1.45 - 4.81·m

The number that can multiply the terms to eliminate the decimals before solving

Solution;

The number of decimal places to which the coefficient and constant values are given = 2 decimal places

Therefore, to eliminate the decimal places, the decimal point of each term has to be moved two places to the right

To move decimal points to the right x number of places is given by multiplying the number by 10ˣ

Therefore, to move the decimal point two places to the right so as to eliminate the decimal point, by multiplicative property of equality, we have;

10² × (-m + 0.02 + 2.1·m) = 10² × (-1.45 - 4.81·m)

10² = 100, therefore, we have;

100 × (-m + 0.02 + 2.1·m) = 100 × (-1.45 - 4.81·m)

-100·m + 2 + 2,100·m = -145 - 481·m

Therefore, the number the equation, -m + 0.02 + 2.1·m = -1.45 - 4.81·m, is to be multiplied by is 100

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Difference of two exponential random variables

Solve.

Mr. Madison picked 80 pieces of fruit on Thursday.Add.

The required difference is value 5 is put in cell 6 and in the second case value of cell 5 is transferred to cell number 6.

Given that,
If a memory cell whose address is 5 contains the value 8, what is the difference between writing the value 5 into cell number 6 and moving the contents of cell number 5 into cell number 6 is to specify.

Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in set of y. x is the independent variable while Y is a dependent variable.

Here,

If a memory cell whose address is 5 contains the value 8
implies at cell number 5 the entry is 8
Similarly,
writing the value 5 into cell number 6
While in the case of moving the contents of cell number 5 into cell number 6, Implies 8 is transferred to cell number 6.

Thus, the required difference is value 5 is put in cell 6, and in the second case value of cell 5 is transferred to cell number 6.

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Final answer:

The detailed answer explains how to divide a polynomial by another using long division method.

Explanation:

To divide -2x³-5x²+4x+2 by x+2, we will perform polynomial long division:

-2x³-5x²+4x+2 / x+2

Start by dividing the leading terms: -2x³ / x = -2x². Multiply x+2 by -2x² to get -2x³-4x². Subtract this from -2x³-5x² to get x². Bring down the 4x next. Continue the process and you will get a quotient of -2x²+x-2 with a remainder of 6.

Answer:

The symbol in the blank space would be '<'

Step-by-step explanation:

Since, in inequality,

'>' = greater than,

'<' = less than,

'≥' = greater than equal to,

'≤' = less than equal to,

Now, 1.67 × 10 = 16.7

⇒ 16.7 is 10 times of 1.67,

That is,

1.67 is less than 16.7

⇒ 1.67 < 16.7

Hence, THIRD option is correct.

11.

area for lower left = 52*62 = 3224

area for upper right = 68*54 = 3672

 total area = 3224 + 3672 = 6896 square yards

12.

 area of upper left = 57-69 = 3933

area of lower right = 24*37 = 888

total area = 3933 +888 = 4821 square feet

I removed all eight corners, leaving the total area unchanged.

I removed the central cube of the top surface obtaining an increase of the surface area with four units.

I removed one cube from the middle of an edge at the top (any of the four remaining) and I arrived at a figure with ten cubes less then the original one but with the same surface area.

The cube can be removed from the top middle and from the center if a 3 by 3 by 3 cube is made from 27 unit cubes.

An object's surface area refers to the overall space that its surfaces occupy.

Given:

The dimensions of the cube are 3 by 3 by 3

Calculate the surface area of the cube as shown below,

Surface area = 6 × side²

Surface area = 6 × 3²

Surface area = 6 × 9

Surface area = 54

I eliminated each of the eight corners, leaving the entire space untouched.

I deleted the top surface's central cube to increase the surface area by four units.

I started with a shape that was ten cubes smaller than the original one but had the same surface area after removing one cube from the center of one of the top edges (any of the four still there).

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Answer:

A. A line that shows the set of all solutions to the equation

Step-by-step explanation:

Answer:  The correct option is (C) [tex]3a.3a.3a.[/tex]

Step-by-step explanation:  We are given to select the correct representation of the following exponent expression :

[tex]E=(3a)^3.[/tex]

We will be using the following property of exponents :

[tex]a^n=a.a.a.~.~.~.~(n~times).[/tex]

So, for the given expression, we get

[tex]E=(3a)^3=3a.3a.3a.[/tex]

Thus, the correct representation is [tex]3a.3a.3a.[/tex]

Option (C) is CORRECT.

Answer:  

[tex]300(1.05)^x\geq 650[/tex]

Step-by-step explanation:

Since, the initial value of the basketball = $ 300

Annual rate of interest = 5 %

Let the basket ball after x years is worth at least $ 650,

⇒ The cost of basketball after x years ≥ 650

[tex]\implies 300(1+\frac{5}{100})^x\geq 650[/tex]

[tex]\implies 300(1+0.05)^x\geq 650[/tex]

[tex]\implies 300(1.05)^x \geq 650[/tex]

Which is the required inequity.