(PLEASE HELP ASAP)
Solve the given system using your choice of either graphically or algebraically. Show and explain all work.
-4x + 9y = 14
12x - 10y = - 8

f(g(7))

        you can see that f(7) = 4, so plug in f(7) = 4 in the equation

       you can see that f(4) = 9

Answer to this function is 9 A)

Hope it helps!

Answer: The perimeter of the shape is approximately 18.0 feet.

Step-by-step explanation:

The shape you described is a triangle, with one side of 8 feet and two sides of 5 feet. To find the perimeter of a triangle, we add up all the side lengths:

Perimeter = 8' + 5' + 5'

Perimeter = 8' + 10'

Perimeter = 18'

Rounding to the nearest tenth:

18 feet is the same as 18.0 feet rounded to the nearest tenth.

So, the perimeter of the shape is approximately 18.0 feet.

Answer:

I don't know the answer to this question

Figure A appears to be a polygon under certain conditions.

We are given the following information in the question:

Figure A is a square

Figure B is a parallelogram

Figure C is a right triangle.

Figure D is a trapezoid

We have to find which are the regular polygons.

A regular polygon is a polygon with all the sides equal and all the interior angles equal measure.

That is a regular polygon is equiangular and equilateral.

Figure A  square appears to be a polygon because

The opposite sides are parallel. All four sides are equal, and all angles measure 90°.

Figure B can be a regular pentagon provided it is equiangular and equilateral

A regular polygon is a polygon with all the sides equal and all the interior angles equal measure.

Figure C cannot be a regular polygon because a right angle follows the Pythagoras theorem and all three sides can never be equal in a right-angled triangle.

Figure D is a trapezoid Trapezoids are four-sided polygons, so they are all quadrilaterals.

Figure A appears to be a polygon under certain conditions.

Thus square looks to be a regular.

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Answer:

Just put

a)

b)

c)

in the first column.

Next, substitute the values in the respective places.

For example, next to the a) and -3, put the value of y = x² + 1

In this case, 9 + 1 or 10

So, put 10 in the top left of the white spaces.

Hope you know what to do now.

Thanks

Answer:

Step-by-step explanation:

On solving the provided question, we can say that  10% condition is met,

There are two separate random samples available.

selected at random (purely random, unpredictable). Every member of the population being polled ought to have an equal probability of getting chosen. She randomly selected 25 names from a pool of 250 employees as an example of a simple random sample. Since there are 250 of her employees in total, and each one has an equal probability of being chosen, the sample in this instance is random. Using simple random sampling, which is a form of probability sampling, researchers choose individuals at random from a population. There is an equal opportunity for selection for every person in the population.

There are two separate random samples available.

The 10% requirement is satisfied.

For both samples, 24, 26, 29, and 31 triumphs and failures are anticipated.

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The actual perimeter is 2934. The perimeter of a rectangle is calculated as P = length + breadth + length + breadth. Alternatively, P = 2(length + breadth).

Perimeter=2(l + b)

=2[6.3cm +10cm) = 2x16.3 cm 32.6cm

Scale 1 cm = Actual 90m.

32.6cm 32.6x90m

= 2934 m

We sum the lengths of all four sides to determine the perimeter of a rectangle. Because opposing sides of a rectangle are always equal, we must obtain the length and breadth measurements to calculate the perimeter of a rectangle. The perimeter of a rectangle is equal to double the sum of its length and breadth.

To calculate the perimeter, or distance around the rectangle, sum all four side lengths. This may be done quickly by adding the length and breadth and then multiplying the total by two because each side length has two lengths. The perimeter formula is perimeter = (length + width)2.

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Answer:

We know that the distance between Paris and Nice is about 920,000 meters. To convert this distance to kilometers we divide by 1000: 920,000/1000= 920 kilometers

We also know that the train travels at a speed of 230 kilometers per hour. To find out how long it will take Lola to travel from Paris to Nice, we divide the distance by the speed:

920/230 = 4 hours

So it will take Lola 4 hours to travel from Paris to Nice by train.

Answer: 4 hours actually kinda ez not gonna lie

Step-by-step explanation: 230 kilometers = 230000 meters. 230 * 1000 = 230000. Distance / speed = time. 920000/230000 = T(as in time). T = 4

Using the formula of length of an arc, the radius of the circle is 3 units

The length of an arc is a measure of the distance along the curved path of the arc. It is a portion of the circumference of the circle of which the arc is a part.

It can be calculated using the following formula:

Length of arc = (Arc angle / 360) * Circumference of the circle

Where:

Arc angle is the measure of the angle formed by two radii at the center of the circle. It is measured in degrees.

Circumference of the circle is the distance around the circle. It is calculated using the formula C = 2πr, where r is the radius of the circle and π is a mathematical constant approximately equal to 3.14.

Alternatively, the length of an arc can also be calculated using the formula :

Length of arc = (Arc angle/360) * 2πr

Also, the formula of length of an arc is given as

s = rθ

s = length of arc

r = radius of arc

θ = angle in radians

In the question given, we can substitute the values and solve for the radius.

s = rθ

3π / 2 = r * π/2

r = (3π / 2) / (π / 2)

r = 3

The radius of circle is 3 units

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a power boat takes 30 minutes to travel 10 miles downstream. the return trip takes 50 minutes then the speed of the current is 4mph

distance = speed × time

In this instance, the distance going downstream and upstream is equal. All we need to do is express speed to solve:

Find the speed going upstream and downstream:

10 / 30 = 1/3 mi / min * 60 min / 1 hour  = 20 mph

10 / 50 = 1/5 mi / min * 60 min / 1 hour = 12 mph

Find the speed of the current by expressing a downstream current as + c and upstream current as -c. The speed of the boat (s), without current, would be the same.

s + c = 20

s - c = 12

We can isolate s to solve for c:

s = 20 - c

s = 12 + c

Set the two equations equal to each other:

20 - c = 12 + c

Add c to both sides:

20 = 12+ 2c

Subtract 20 from both sides:

8= 2c

Divide both sides by 2:

c = 4 mph.

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The probability that none of the five students chosen at random are mechanical engineering majors is 0.0111 or about 1.11%.

The probability that none of the five students chosen at random are mechanical engineering majors is

=(51/100) * (50/99) * (48/98) * (47/97) * (46/96)

= 0.0111

This means that the probability is about 1.11%

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

The probability means that the chances of an event to occur or do not occur and it lies between the range of 0 and 1.

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Answer: [tex]18p^{4}[/tex]

Step-by-step explanation:

I wrote the steps in the image

height = 14.5 ft and width = length = 3.2 ft  in a box with the largest possible volume

Let the side of the square base is a and the height of the box is h.

The material required to make the box is equal to the total surface area of the box.

Area of base = a²

Cost of square base is $ 2 per ft²

So, the cost of making base = 2a²

Area of four walls + area of top = 2 (a² + ah + ah) + a² =  3a² + 2ah

Cost of making walls and the top is $ 1 per ft²

So, the cost of making walls and the top = 1 x ( 3a² + 2ah)

Total cost of making the box = 2a² + 3a² + 2ah = 5a² + 2ah

According to the question

144 = 5a² + 2ah

    .... (1)

The volume of the box is V = length x width x height

V = a x a x h

V = 72 a - 2.5 a³     from equation (1)

Differentiate both sides with respect to a.

dV/da = 72 - 7.5 a²

Put, it equal to zero for maxima and minima

7.5 a² = 72

a = 3.2 ft

Put in equation (1)

h = 14.5 ft

So, the dimensions of the box are

height = 14.5 ft

width = length = 3.2 ft

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If you went to college and earned a four-year degree, then 70% more money would you expect to earn each year than if you did not graduate from high school.

The pursuit of a college education is such a crucial life goal that it has taken center stage in the "American Dream." Attend college, secure a career, purchase a home, and start a family. Even if it isn't usually that easy, it all begins with your college education.

According to a study conducted across the country and released by the State Higher Education Executive Officers Association (sheeo.org), the average pay for high school graduates is close to $30,000. Graduates with a bachelor's degree typically make a little over $50,000 per year.

The average annual salary for those with higher level degrees (master's, doctoral, or professional) is also close to $70,000. This results in a sizable wage discrepancy over the course of a person's lifetime.

Hence, if you went to college and earned a four-year degree, then 70% more money would you expect to earn each year than if you did not graduate from high school.

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Answer:

There are 6 workers in the team.

Step-by-step explanation:

Let's call the number of workers "n".

We know that the team of workers could have completed the job in 24 hours if they had worked together. We also know that the resulting work time would have been reduced by 6 hours if all but 5 workers had worked together from the start.

So, if n workers worked together from the start, the work time would be 24 - 6 = 18 hours.

We also know that the workers joined one by one, starting with 1 worker and ending with n workers working together.

The total work time can be calculated using the arithmetic series formula:

work time = n/2 * (1 + n)

So, if we set the work time to 18 hours:

18 = n/2 * (1 + n)

We can solve this equation for n:

18 = n/2 * (n+1)

36 = n^2 + n

n^2 + n - 36 = 0

We can solve this quadratic equation by factoring it.

(n-6)(n+6) = 0

So the solutions are n = 6 and n = -6.

But the number of workers can not be negative, so the answer is n=6.

Therefore , the solution of the given problem of linear equation comes out to be chris sold = g/8 -17.

A model of linear regression is one that follows the algebraic formula y=mx+b. The y-intercept is m, and the slope is B. Although both y and x are distinct parameters, the foregoing sentence is sometimes referred to as a "mathematical equation with two variables." Bivariate linear equations only have two variables. Application areas of linear equations result in zero in all cases. The equation for one linear equation is Y=mx+b where m is the slope and b is the y-intercept. Y=mx+b is the formula for an equation, where m stands for slopes and b for the y-intercept.

Here,

Given : there are 8 employees on the game .

chris sold 17 fewer games than what the team averaged per employee.

Thus,

g be the number of total employee selling games:

=> chris sold = g/8 -17

Therefore , the solution of the given problem of linear equation comes out to be chris sold = g/8 -17.

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Answer:

A) 4x4 – 3x3y + 8x2y2 – 7xy3

Step-by-step explanation:

The polynomial written in standard form is: 4x4 + 8x2y2 - 3x3y - 7xy3. Option C

In standard form, a polynomial is written with the highest exponents first and positive numbers in front of each term.

This means that the term with the greatest power comes first, followed by the terms in decreasing order of powers.

The polynomial is organized in option C like this.

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If Zack deposited $4,533 in an account earning 5.9% interest compounded annually. The amount he will have in 1 year is: $4,807.79.

Using this formula to find the compounded amount

A = P(1+r/n)^nt

Where:

A = Amount = ?

P = Principal = $4,533

R = Interest rate = 5.9% or 0.059

n = Number of months = 12

t = Time = 1 years

Let plug in the formula

A = $4,533 (1+ 0.059/12)^1×12

A = $4,533 (1+.004916)^12

A = $4,533 (1.004916)^12

A = $4,533 (1.0606)

A = $4,807.79

Therefore the amount he will have in 1 year is: $4,807.79.

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let's keep in mind that a conjugate is no more than the same "pair" but with a different sign between, so the conjugate of meow + quack is simply meow - quack, and so on, let's also recall that i² = -1.

[tex]\textit{difference of squares} \\\\ (a-b)(a+b) = a^2-b^2 \\\\[-0.35em] ~\dotfill\\\\ -1-\sqrt{5}i\hspace{5em}\stackrel{conjugate}{-1+\sqrt{5}i} \\\\\\ (-1-\sqrt{5}i)(-1+\sqrt{5}i)\implies (-1)^2~~ - ~~(\sqrt{5}i)^2\implies (-1)^2~~ - ~~(\sqrt{5})^2 i^2 \\\\\\ 1~~ - ~~(\sqrt{5^2})i^2\implies 1~~ - ~~(5)(-1)\implies 1-(-5)\implies 1+5\implies \text{\LARGE 6}[/tex]

A one-to-one function is a function that assigns a unique output for each input in its domain, and the graph of a one-to-one function will have no vertical asymptotes, cusps, or self-intersections, and will pass the horizontal line test.

A function is said to be one-to-one (or injective) if no two distinct inputs in the domain of the function produce the same output. In other words, a function is one-to-one if it assigns a unique output to each input in its domain.

A graph of a one-to-one function will have the following properties:

The graph will pass the horizontal line test; no horizontal line will intersect the graph more than once.

The graph will have no vertical asymptotes, which would indicate that the function is not defined for certain inputs.

The graph will have no cusps or self-intersections, which would indicate that the function assigns multiple outputs to the same input.

A one-to-one function has a inverse function, which is also a function and satisfies the same properties as the original function.

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Answer:

116.58

Step-by-step explanation:

([tex]\frac{w2x - 3}{10}[/tex]) z  Substitute in what you know

[tex](\frac{(-6)(2)(1.2) - 3}{10})[/tex] (-67)

[tex](\frac{-14.4-3}{10})[/tex](-67)

[tex](\frac{-17.4}{10})[/tex](-67)

-1.74(-67)

116.58

Answer:

116,58

Step-by-step explanation:

((-6)·2·1,2-3)÷10·(-67)

(-14,4-3)÷10·(-67)

-17,4÷10·(-67)

-1,74·(-67)

116,58

The total number of different collections of pets your roommate can take is 10 + 10 = 20.

In this scenario, your roommate has two options for which pets to take with him: either the dog or the cat. If he takes the dog, he can take any two of the remaining five pets (fish, turtle, rock, pony). There are 5 choose 2 = 10 ways for him to do this. If he takes the cat, he can take any two of the remaining five pets (fish, turtle, rock, pony, dog). There are 5 choose 2 = 10 ways for him to do this.

Therefore, the total number of different collections of pets your roommate can take is 10 + 10 = 20.

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Answer: x is 90 and y is 41

Step-by-step explanation: Since angle C is equal to 49 degrees, and angle D is noticeably 90, we can do the following:

90 + 49 = 139

180 - 139 = 41

Therefore, our answer is x = 90 and y = 41

first off let's take a looksie at the picture above, hmmm the vertex is at (-1 , 0) and it has another point at (0 , 1) ok hmmm

[tex]~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{a~is~negative}{op ens~\cap}\qquad \stackrel{a~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} h=-1\\ k=0\\ \end{cases}\implies y=a(~~x-(-1)~~)^2 + 0\hspace{4em}\textit{we also know that} \begin{cases} x=0\\ y=1 \end{cases}[/tex]

[tex]1=a(~~0-(-1)~~)^2 + 0\implies 1=a(1)^2\implies 1=a \\\\\\ y=1(~~x-(-1)~~)^2 + 0\implies {\Large \begin{array}{llll} y=(x+1)^2 \end{array}}[/tex]

Answer:

The scatter plot provided shows a relationship between the independent variable (x) and the dependent variable (y) that appears to be non-linear. The data points seem to be scattered around the graph. The best fit line would be a polynomial equation, the degree of the equation depends on the shape of the data points. It is not possible to give an exact equation of the line of best fit without knowing the data points.

(a) It is not possible to give an approximate equation of the line of best fit without knowing the data points or a more detailed information of the graph.

(b) Without a clear equation to predict values, it is not possible to predict the value of y for x = 10.

James gets 140 pounds.

What is a ratio?

A ratio is a mathematical comparison of two or more values. A ratio can be written in various ways, such as "5 to 3" or "5:3", which means that for every 5 parts, there are 3 parts. Ratios can also be simplified to their lowest form, just like fractions.

In this case, Carly and James share money in a ratio of 5:3, meaning that for every 5 parts of the money that Carly gets, James gets 3 parts. If Carly gets £70 more than James, we can set up the equation as:

x + 70 = 5/8 * x

Where x is the amount James gets.

Solving this equation we get:

x = 140

Hence, James gets 140 pounds.

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Despite appearing to be 6 cm long on a scale drawing, puppies are actually 54 cm long.

Distance between two sites can be determined by a measurement called length. Aside from height and width, it also determines how long an object is. In math classes, kids will study about length to assist them in solving real-world problems both as a part of their education and outside of it. the largest or longest dimension of a thing; a measurable length or width. Dimensions: 10 ft. Table of the Metric System, Weights and Measures Table: the characteristic of length. The definition of length is the distance or measurement between two points. In other terms, the largest two or highest three dimensions of a geometric shape or item.

given

Puppy drawn to scale measures 6 cm in length.

due to the scale's 1:9 cm

Utilize the ratio approach to determine the puppy's true length.

1 = 6 cm

9 = 6×9 = 54 cm

Despite appearing to be 6 cm long on a scale drawing, puppies are actually 54 cm long.

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Isolate the absolute value on one side of the equation, Then set its contents equal to both the positive and negative value of the number on the other side of the equation and solve both equations.

Piecewise Definition: with respect to a number of discrete intervals, sets, or pieces.

[tex]|a|=\left \{ {{a if a > =0} \atop {-aifa < =0}} \right.[/tex]

Square root definition:

|a|=√a²

There are a few Rules to define absolute value:

1.  |–a| = |a|

2.  |a| ≥ 0

3.  Products: |ab| = |a|*|b|

4.  Quotients: |a / b| = |a| / |b|

5.  Powers: |an| = |a|n

6.  Triangle Inequality: |a + b| ≤ |a| + |b|

7.  Alternate Triangle Inequality: |a – b| ≥ |a| – |b|

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A:  y = 2x³, is a non-linear function.

B: y = x + 5, is a linear function.

C: y = x² − 3, is a non-linear function.

D: 5x + 5y = 25 and y = x² / 2, is a linear and non-linear function.

What is a function?

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

If the degree of the function is one. Then the function will be a linear function.

If the degree of the function is not one. Then the function will be a non-linear function.

Hence,

A:  y = 2x³, is a non-linear function.

B: y = x + 5, is a linear function.

C: y = x² − 3, is a non-linear function.

D: 5x + 5y = 25 and y = x² / 2, is a linear and non-linear function.

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A:  y = 2x³, is a non-linear function.

B: y = x + 5, is a linear function.

C: y = x² − 3, is a non-linear function.

D: 5x + 5y = 25 and y = x² / 2, is a linear and non-linear function.

A statement, idea, or rule that creates a link between two variables is known as a function. Mathematics has functions, which are necessary for the creation of meaningful connections.

if the function has a degree of one. The function will thereafter be linear in nature.

if the function's degree is not one. The function will then be non-linear in that case.

As a result, the function A: y = 2x3 is not linear.

B: The linear function y = x + 5 is given.

C: The non-linear function y = x2 3 is.

D: The equation 5x + 5y = 25 has a linear and nonlinear component, y = x2 / 2.

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According to the formula of area of rectangle, the length of each piece is 1.49 inches.

The formula to calculate the area of the rectangle is written as,

A = l x b

where l refers the length and b refers the breadth of the rectangle.

Here we have know that Allie is creating an art project using pieces of paper that are each 8. 06 inches long.

Here we also know that she tapes 5. 4 pieces together end-to-end.

Here the value 8.06 refers the total area of the paper and the value 5.4 refers the breadth of the paper.

Then according to the formula, the length is calculated as,

=> l = 8.06/5.4

=> 1.49

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