Find the y-intercept of the line with equation y= 3/7x -6

The area of this rectangle is 1024 square units.

To solve this problem, we'll need to use the given information about the perimeter and the relationship between the length and width to find the dimensions of the rectangle. Then, we can determine the area.

First, let's use the formula for the perimeter of a rectangle: P = 2L + 2W, where P is the perimeter, L is the length, and W is the width. We know that P = 160 and L = 4W.

Now, let's substitute these values into the formula:
160 = 2(4W) + 2W

Next, we can simplify the equation:
160 = 8W + 2W
160 = 10W

Now, let's solve for W:
W = 16

With the width found, we can now determine the length using L = 4W:
L = 4(16)
L = 64

Finally, we can calculate the area using the formula A = L * W:
A = 64 * 16
A = 1024

The area of this rectangle is 1024 square units.

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If he puts away 10% of his $32,000 salary every year, The total of his 401(k) be in 10 years is: a. $67,266.16.

First step

Contribution=(10% ×$32,000)+ 50% from employer

Contribution=$3,200+ ($3,200×50%)

Contribution=$3,200+$1,600

Contribution=$4,800

Second step

Future value= 4800 (1 + 0.073)^10 – 1/ 0.073

Future value= 4800 (1 .073)^10 – 1/ 0.073

Future value= 4800 (2.0230062274104 – 1) / 0.073

Future value= 4800 (1.0230062274104) / 0.073

Future value=$4,910.42989157/0.073

Future value=$67,226.16

Therefore the total of his 401(k) be in 10 years is: a. $67,266.16.

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Answer:a. $67,266.16.

Step-by-step explanation:edge

This is the simplified form of the expression, taking into account the condition given.

(a) To expand the expression "bij bij", we need to remember that "bij" represents a constant or a variable.

Expanding "bij bij" means multiplying the expression by itself:

bij bij = bij * bij

This is the simplified form of the expression, and it cannot be simplified further unless we have more information about the values of "bij".

(b) To expand the expression "bij yi yj", we need to remember that "bij" represents a constant or a variable, and "yi" and "yj" represent variables or functions.

Expanding "bij yi yj" means multiplying all the terms together:

bij yi yj = bij * yi * yj

Again, this is the simplified form of the expression, and it cannot be simplified further unless we have more information about the values of "bij", "yi", and "yj".

(c) To expand the expression "bij yi yj" when bij = -bji for i is not equal to j only, we need to consider the condition that bij = -bji.

Since bij = -bji, we can substitute -bji for bij in the expression:

bij yi yj = (-bji) yi yj

Now, we can simplify further by distributing the negative sign:

(-bji) yi yj = -bij yi yj

This is the simplified form of the expression, taking into account the condition given.

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Step-by-step explanation:

The composition of two functions, f and g, is denoted as (f.g)(x) and is given by:

(f.g)(x) = f(g(x))

For the given functions f(x) = 2x - 3 and g(x) = 3x - 1, we have:

(f.g)(x) = f(g(x)) = f(3x - 1) = 2(3x - 1) - 3 = 6x - 5

So the composition of f and g is (f.g)(x) = 6x - 5.

The binomials  5x-2yz are a factor of this expression

25x^2-4y^2z^2

This is further explained below.

Generally, A binomial is a kind of polynomial that is used in algebra and is defined as the sum of two terms, each of which is a monomial.

After monomials, this is the sort of sparse polynomial that is the easiest to understand.

The word "binomial" refers to an algebraic expression that consists of just two different terms. This is a polynomial with two terms.

25 x^2-4 y^2 z^2

Rewrite 25 x^2 as (5 x)^2.

(5 x)^2-4 y^2 z^2

Rewrite 4 y^2 z^2 as (2 y z)^2.

(5 x)^2-(2 y z)^2

Since both terms are perfect squares, factor using the difference of squares formula, a^2-b^2=(a+b)(a-b) where a=5 x and b=2 y z.

(5 x+2 y z)(5 x-(2 y z))

Simplify.

(5 x+2 y z)(5 x-2 y z)

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Natalie is paid more each month this year with £3776.

Salary is a fixed amount of money  paid to an employee by an employer in return for work performed. It is usually paid on a regular basis such as weekly, bi-weekly, or monthly. Salaries are typically based on the employee's job title, level of responsibility and the company's budget and compensation policies.

solution

Melissa's salary this year is £2200 + £2200 * 35/100 = £2970.

Natalie's salary this year is £3200 + £3200 * 18/100 = £3776.

Therefore, Natalie is paid more each month this year with £3776.

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Answer:

0,06

Step-by-step explanation:

Tỷ lệ phế phẩm = 10% = 0,1

Tổng số sản phẩm thử nghiệm được chọn = 5

Xác suất nhận được ba bị lỗi = 3/5 * 0,1

3/5 * 0,1 = 0,06

Answer:

If the circle is inside the square the area of the square is 144

Step-by-step explanation:

The diameter of a circle is equal to the side length of a square.

So \(d = 2r\)  the diameter of the circle is 2(6)=12

so one side length of the equals 12

Area of square = \(s^{2}\)    \(12^{2} = 144\)

Answer:

70, 89, 64, 96, 82

Step-by-step explanation:

You can translate 3/5 into a whole number because 5 goes into 100, 20 times. So if you figure out the 3/5 is 60, you can use any numbers between that and 100.  

Answer:

6.231 × 10³

= 6.231 × 1000

= 6231

Step-by-step explanation:

brainliest plz

Step-by-step explanation:

Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=2x f - 1 ( x ) = 2 x is the inverse of f(x)=12x f ( x ) = 1 2 x .

Replace f(x)f(x) with yy.

y=12xy=12x

Interchange the variables.

x=12yx=12y

Solve for yy.

Rewrite the equation as 12y=x12y=x.

12y=x12y=x

Multiply both sides of the equation by 22.

2⋅12⋅y=2⋅x2⋅12⋅y=2⋅x

Simplify 2⋅12⋅y2⋅12⋅y.

Cancel the common factor of 22.

Cancel the common factor.

2⋅12⋅y=2⋅x2⋅12⋅y=2⋅x

Rewrite the expression.

1⋅y=2⋅x1⋅y=2⋅x

Multiply yy by 11.

y=2⋅xy=2⋅x

Solve for yy and replace with f−1(x)f-1(x).

Replace the yy with f−1(x)f-1(x) to show the final answer.

f−1(x)=2xf-1(x)=2x

Set up the composite result function.

g(f(x))

Answer:

2/3 x 4/5 = 8/15

Step-by-step explanation:

Answer:

Step-by-step explanation:

65, due to vertical angles theorem

Answer: tan V = 12/5

Step-by-step explanation:

The yearly salary, considering the proportions, is given as follows:

R184,320.

The yearly salary is obtained applying the proportions in the context of the problem.

The monthly expenses are given as follows:

Hence the monthly fraction that is used for expenses is given as follows:

1/12 + 1/16 + 5/6 = (4 + 3 + 40)/48 = 47/48.

The remaining amount of R320 is 1/48 of your monthly salary, which is 1/12 of your yearly salary, which is given as follows:

48 x 12 x 320 = R184,320.

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Answer:

y = 3/2x -5/2

Step-by-step explanation:

Slope intercept form is

y = mx+b  where m is the slope and b is the y intercept

3x- 2y = 5

Solve for y

Subtract 3x from each side

3x -3x- 2y =-3x+ 5

-2y = -3x+5

Divide by -2

-2y/-2 = -3x/-2 +5/-2

y = 3/2x -5/2

The cheapest price for ten (10) rolls would be = £25.50. That is option B.

The wallpapers are those designed paper materials that are used in decoration of a room.

The total number of wall paper that Salima needs to buy= 10 rolls.

A single roll of wallpaper = £9.20

A pack of 3 rolls= £25:50

That is 1 roll = X

make X the subject of formula;

£x = 25.50/3

£x = £8.5

A pack of 5 rolls = £43.05

That is 1 roll = X

make X the subject of formula;

£x = 43.05/3

£x = 14.35

Therefore, the cheapest price that can be used to buy 10 rolls would be = £25.50 because one roll would be = £8.5.

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Answer:

Pack of 3 rolls (total of £85.70

Step-by-step explanation:

25.5+25.5+25.5+9.20= £85.70

Answer:

3rd option

Step-by-step explanation:

-8 ≥ -5x + 2 > -38 subtract 2 from all three expressions

-10 ≥ -5x > -40 divide by 5

-2 ≥ -x > -8 now multiply by -1

2 ≤ x < 8

Y = 3x -11 is the equation where the slope is 3 and the coordinates pass through (2,-5)

What determines a line's steepness is its slope. Gradient overflow is a mathematical expression for the gradient (the change in y divided by the change in x). The slope is the proportion of the vertical increase (rise) over the distance between the two points to the width change (run) over the same distance. Slope-intercept form about an equation is used to express a straight line's equation, which is written as y = mx + b. A point on the line where the slope is m, b is b, and the y-intercept is placed is (0, b). An illustration would be the slope and y-intercept of the formula y = 3x - 7 (0, 7). At the location of the y-intercept, the line has a slope of m, b, and c. (0, b).

given

Substituting the values of the supplied point for x and y in the equation

=  line y = mx + b with m = 3 is known as substitution.

=  -5 = 3(2) + b.

= b = -11

Y = 3x -11 is the equation where the slope is 3 and the coordinates pass through (2,-5) .

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The complete question is :- Find the equation of line whose slope is 3 and passes through ( 2, - 5) .

Answer:

-10

Step-by-step explanation:

I hope this helps!

Answer:

-10

Step-by-step explanation:

To find the answer to -2 - 8, we have to remember that when you subtract numbers, they go towards the negatives. So, since it is -2 - 8, you basically just add together the numbers but keep the negative sign, so the answer would be:

-2 - 8 = -10

Hope this helps :)

the vertical asymptοtes οf the functiοn are given by: x = 3 and x = -3.

Asymptοtes are lines that a curve apprοaches but dοes nοt intersect as it extends infinitely in οne οr mοre directiοns. They can be vertical, hοrizοntal, οr οblique.

Vertical asymptοtes οccur when the denοminatοr οf a ratiοnal functiοn is equal tο zerο and the numeratοr is nοt equal tο zerο. This creates a pοint οf discοntinuity in the functiοn, where the functiοn apprοaches infinity οr negative infinity as it apprοaches the vertical line.

The functiοn y = 5tan(0.1x) has vertical asymptοtes whenever the tangent functiοn is undefined, which οccurs at οdd multiples οf π/2.

the vertical asymptοtes οf y = 5tan(0.1x) are given by:

x = (2n+1)π/2*10, where n is an integer.

Fοr Explοratiοn 4.3.3, Questiοn 2, the given functiοn is:

\(y = (x^2 - 5x + 6)/(x^2 - 9)\)

Tο find the vertical asymptοtes οf this functiοn, we need tο determine where the denοminatοr becοmes zerο. This οccurs at x = 3 and x = -3.

Therefοre, the vertical asymptοtes οf the functiοn are given by: x = 3 and x = -3.

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Answer:

The third one for the first picture and the second one for the second picture

Step-by-step explanation:

Answer:

1:7 , 2:14, 4:28, 8:56

Step-by-step explanation:

Ratios act just like fractions, because of this, you can simplify ratios just as you would simplify a fraction. In addition, because they asked for the ratio of boys to girls, we know that they want the (number of boys): (number of girls)

HOPE THIS HELPS!!!

The domain is:

This comes from the fact that the function will go in both ways of the plane.

Therefore the answer is B.

Answer:

Step-by-step explanation:

I don't see the choices, but I will make the equations that seems to be correct to me.

Known facts:

Let's make the equations:

m + n = 4.5

35m + 60n = 225

Hope that helps!

Answer:

$4.11

Step-by-step explanation:

i think

Answer:. Then either A = C and B = D, or A = D and B = C.

Step-by-step explanation:

Answer:

D) -22 < 25

Step-by-step explanation:

If the number is 47 units to the right, then the number will be larger than -22, because negative values get larger the closer they are to zero.

47 units right from -22 is the same as: -22 + 47, which equals 25.

So, we can conclude that -22 < 25 is the inequality.

hope this helps!

The value of the sample statistic is used to estimate the value of the population parameter.

The sample statistic is the value that is calculated from the sample data, which is used to make inferences about the population parameter. Sample statistics are used to estimate population parameters. A sample statistic is an estimate of a population parameter that is obtained from a sample, whereas a population statistic is a value that is computed from a population.

Therefore, the correct answer is a. sample statistic.

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