Which is an equation of the line graphed below?

A. y=2x-3
B. y=1/2x-3
C. y= -1/2x-3
D. y= -2x-3

Answer:

the correct answer is B

Final answer:

The student takes home a check of $25.94 each week after deductions and direct deposit. Of the amount direct-deposited, $38.92 is placed into a savings account weekly, resulting in $155.68 being deposited into the savings account monthly.

Explanation:

To solve the first problem, we must start by calculating the gross income for one week of work:

Next, we calculate each of the deductions from the gross income:

Now we calculate the total deductions:

The net income after deductions is:

We then determine the amount directly deposited:

The remaining paycheck given as a check each week is:

For the second question, we already know from the scenario that $77.84 is directly deposited. We just need to calculate the amount that goes into the savings account:

To find the monthly savings deposit, we assume there are 4 weeks in a month:

Answer:

86.5

Explanation:

If you list these numbers in order from least to greatest, you get 10 numbers. Since there are isn't a number in the middle, you have to find the value between 86 and 87 which gives you 86.5. Sorry for the late response and have a great day!

Answer:

(B) is correct

Step-by-step explanation:

As the credit reports shows different scores so it will be resolved by credit bureaus and the report only shows different scores in case they have incorrect or different info about our credit history so we should contact the credit bureaus and ask them to correct the information of our credit history.

So, the right answer is (B).

A linear graph is most useful when depicting piece rates as it clearly shows the continuous relationship and trend between the number of items produced and the pay received, represented by a positive, negative, or zero slope.

When depicting piece rates, which relate the payment an individual receives to the number of pieces produced or tasks completed, a linear graph or line graph is often most useful. Linear graphs effectively illustrate relationships between two variables, such as the number of items produced (on the x-axis) and the amount of money earned (on the y-axis), highlighting trends and changes over a range of values. A bar graph may be best to illustrate comparisons when showing the relationship of separate and distinct categories. However, in the context of piece rates, where there is a continuous relationship between work done and pay received, the connected data points in a line graph provide a clear visual of the rate of payment as it changes with the number of pieces.

Understanding the appearance of slopes is essential in reading graphs. A positive slope indicates an increase or upward trend in the relationship between the two variables, a negative slope represents a decrease or downward trend, and a zero slope indicates a consistent, flat relationship with no change over time.

a is 2q^2r

b is 3s^2t

the expression factored is...

(2q^2r+3s^2t)(4q^4r^2-6q^2rs^2t+9s^4t^2)

The given expression is a sum of two cubes. The factorization of the given expression is [tex](2q^2r+3s^2t)(4q^4r^2-6q^2rs^2t+9s^4t^2)[/tex].

Given:

The given identity is, [tex]a^3 + b^3 = (a + b)(a^2 - ab + b^2)[/tex].

It is required to factorize [tex]8q^6r^3 + 27s^6t^3[/tex] using the given identity.

The given expression can be written in the form of sum of two cubes as,

[tex]8q^6r^3 + 27s^6t^3=2^3q^6r^3 + 3^3s^6t^3\\=(2q^2r)^3+(3s^2t)^3[/tex]

Here, a and b are [tex]2q^2r[/tex] and [tex]3s^2t[/tex] respectively.

Now, the factorization of the given expression can be one as,

[tex]a^3 + b^3 = (a + b)(a^2 - ab + b^2)\\(2q^2r)^3+(3s^2t)^3=(2q^2r+3s^2t)((2q^2r)^2-(2q^2r)(3s^2t)+(3s^2t)^2)\\=(2q^2r+3s^2t)(4q^4r^2-6q^2rs^2t+9s^4t^2)[/tex]

Therefore, the factorization of the given expression is [tex](2q^2r+3s^2t)(4q^4r^2-6q^2rs^2t+9s^4t^2)[/tex].

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Answer:

70

Step-by-step explanation:

If you use Pascal's Triangle, you will need 9 lines, since there are 9 terms in a binomial raised to the 8th power.  Those 9 terms are:

1, 8, 28, 56, 70, 56, 28, 8, 1

The first expansion through the one we need are below (I hope you know how to use Pascal's Triangle!):

[tex]1(x^8)(y^0)+8(x^7)(y^1)+28(x^6)(y^2)+56(x^5)(y^3)+70(x^4)(y^4)+...[/tex]

Answer:

70

Step-by-step explanation:

apex

Answer: Th answer is A

The area of the base of each pyramid, if divided from a square base of entire length x inches and made of 8 pyramids, should be 1/8 x[tex]^[/tex] in.2, but among given options, B. 1/4 x[tex]^[/tex] in.2 is closest. The volume of a solid right pyramid with square base edge length x cm and height y cm is correctly given by A. 1/3 x[tex]^[/tex]y cm3.

To find the area of the base of each pyramid in a soundproofing tile made of 8 identical solid right pyramids with square bases, we will calculate the area of the entire square base of the tile and then divide by the number of pyramids. If the length of the whole tile is x inches, the area of the whole base is x[tex]^[/tex] square inches. Since there are 8 pyramids, the area of the base of each pyramid is x^2 divided by 8, which simplifies to 1/8 x[tex]^[/tex] square inches. However, this option is not listed, suggesting there may have been an error in the question or choices provided. Regardless, among the given options, the closest would be B. 1/4 x[tex]^[/tex] in.2, considering the whole square is likely split into quarters for each pyramid.

For the volume of a solid right pyramid with a square base with an edge length of x cm and a height of y cm, the formula for the volume of the pyramid is 1/3 times the area of the base times the height. The area of the base, which is a square, is x[tex]^[/tex], so the volume is 1/3 x[tex]^[/tex]y cm3. Therefore, the correct answer is A. 1/3 x[tex]^[/tex]y cm3.

11___________________________

The answer is

Y=x^4-6x^3 +6x^2 -6x+5

The quartic function with only two real zeroes given as; x=5 and x=1 is; x⁴ -12x³ +46x²-60x +25

With two zeroes given for a quartic equation;

The zeroes must appear twice each such that the factors of the function are;

The quartic function is therefore:

(x² -10x +25) (x² -2x +1)x⁴ -2x³ +x² -10x³ +20x² -10x + 25x² -50x +25= x⁴ -12x³ +46x²-60x +25

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The only ordered pair that is a possible solution to the equation y = 3x - 2 is B: (1, 1).

To determine if an ordered pair is a possible solution to the equation y = 3x - 2, we need to check if the x and y values satisfy the equation when substituted into it.

Let's check each option:

A: (0, 2)

Substitute x = 0 and y = 2 into the equation:

2 = 3(0) - 2

2 = -2

This is not true, so (0, 2) is not a possible solution.

B: (1, 1)

Substitute x = 1 and y = 1 into the equation:

1 = 3(1) - 2

1 = 1

This is true, so (1, 1) is a possible solution.

C: (-3, 1)

Substitute x = -3 and y = 1 into the equation:

1 = 3(-3) - 2

1 = -11

This is not true, so (-3, 1) is not a possible solution.

D: (2, 0)

Substitute x = 2 and y = 0 into the equation:

0 = 3(2) - 2

0 = 4

This is not true, so (2, 0) is not a possible solution.

The only ordered pair that is a possible solution to the equation y = 3x - 2 is B: (1, 1).

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Answer:

101 g of Potassium is equivalent to 2.583 moles of Potassium.

Step-by-step explanation:

As per definition of moles, molecular weight of a substance = 1 mole

So molecular weight of Potassium = 39.0983 g

∵ 39.0983 g weight of Potassium = 1 mole

∴ 1 g weight of Potassium = [tex]\frac{1}{39.0983}[/tex] g

∴ 101 g of Potassium = [tex]\frac{101}{39.0983}[/tex] g

                                  = 2.583 moles

Therefore, 101 g of Potassium is equivalent to 2.583 moles of Potassium.

Answer:

2,880

Step-by-step explanation:

just trust me, it's that one

Answer:

14.03

Step-by-step explanation:

I took a test

There are $14.03 get change do you get back.

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

We have to given that;

You are buying a $24.50 item that has 6% sales tax.

And, You give the cashier $40 to pay for the item.

Here, You are buying a $24.50 item that has 6% sales tax.

Hence, The amount of sales tax = 6% of $24.50

                                                  = 6/100 × $24.50

                                                  = $1.47

Thus, The amount of charge = $40 - ($24.50 + $1.47)

                                            = $40 - $25.97

                                            = $14.03

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Answer:

See image

Step-by-step explanation:

Plato

5*1 is the dimension of the original rectangle.

The scale is the proportion that is used to show how the dimensions of a model or scaled figure compare to the equivalent dimensions of the real figure or item. In contrast, a scale factor is a number that is multiplied by each component of an item to create an expanded or reduced figure.

Given With a scale factor of 6, the diagram depicts the expansion of a rectangle.

and the new rectangle is 30*6 in size.

The scaling factor is 6

thus,

the length of the original rectangle = 30/6

the length of the original rectangle = 5

the width of the original rectangle = 6/6

the width of the original rectangle = 1

therefore, the dimension of the original rectangle is 5*1.

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Complete question:

What measurements did the initial rectangle have?

Answer:

Step-by-step explanation:

He need $25.85 more to pay.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given:

Charge for week = $170

earnings from leaves raking = 58.35

Earnings from snow shoving = 85.80

Total earnings = 85.80 + 58.35 = $144.15

So, he need more

=170 - 144.15

=$25.85

Hence, He need $25.85 more to pay.

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