Susan tries a different company's customer service line. That company charges only
$2 to be connected to a technician but an additional $4 per minute. What is the linear
function that represents Susan's total cost for a call that lasts x minutes?

The two equations of a system that can be used to find the ages of both girls are y - x = 6 and 3x - y = 0.

A group of two or more equations that must be solved all at once is known as a system of equations. The objective is to determine the values of the variables that make both equations true in a system of two equations with two variables. These numbers represent the system of equations' answer. There are several ways to solve a system of equations, including substitution, elimination, and graphing. They are used to simulate and resolve issues in many branches of mathematics, science, engineering, and other disciplines.

Let us suppose the age of Celine = x.

Let us suppose the age of Cindy = y.

Given that, Celine is 6 years younger than her sister Cindy.

x = y - 6

She is also one third as old as Cindy.

x = 1/3y or y = 3x.

Substitute the value of y in equation 1:

x = 3x - 6

6 = 2x

x = 3

Substitute the value of x:

y = 3(3) = 9

Hence, the two equations that can be used to find the ages of  both girls are y - x = 6 and 3x - y = 0.

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Answer:

1

Step-by-step explanation:

The value of the expression 9 - 3/1/3 + 1 will be 1.

What is Mathematical  expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ 9 - 3/1/3 + 1

Now,

Solve the expression as;

The expression is,

⇒ 9 - 3/1/3 + 1

⇒ 9 - 3 × 3 + 1

⇒ 9 - 9 + 1

⇒ 1

Thus, The value of the expression 9 - 3/1/3 + 1 will be 1.

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Answer:

6 and 7

Step-by-step explanation:

You first want to find the factors of 42. They are:

1,2,3,6,7,14,21,42

The factor pairs are:

The only factor pair with consecutive numbers is 6 and 7. They are both less than 10 as well, so 6 and 7 works.

The quotient of - 3.32 / - 2.2 is 8 ÷5.

Given fraction:

-3.32 / -2.2

First step is to re-write the given fraction which is - 3.52 / - 2.2

3.52 / 2.2

Second step is to convert the decimal to fraction

352 ÷ 100 / 22 ÷10

Third step is to reduce the fraction

reducing 352/100

=(2^5 × 11)/(2^2 × 5^2)

= [(2^5 × 11) ÷ 2^2] / [(2^2 × 5^2) ÷ 2^2]

= (2^3 × 11)/5²

= 88/25

Reducing 22/10

Divide the numerator and denominator by the greatest common divisor

= 22 ÷ 2 / 10 ÷ 2

= 11 /5

Now let determine  or find the quotient

88 ÷ 25 × 11 ÷ 5

= 8 ÷ 5

Therefore we can conclude that 8 ÷ 5 is the quotient.

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Answer:

18. Aileen

19. Edward

20. 25 seconds

21. 40 seconds

22. 55 seconds or 3 minutes, 20 seconds - 4 minutes, 15 seconds

Step-by-step explanation:

Hello! Alright, let's start breaking down the answers one by one!

18.

To begin with 18, we just have to simply compare everyone's time to the actual time! (3 minutes and 46 seconds). To make this easier for us, we should convert everyone's time into the form of minutes/seconds. So it would be:

As you can compare here, the closest person here would be Aileen being 4 seconds off from the actual time.

19.

Based off of what we did in 18, we can use that chart to compare, we just have to find the time differences to see who is more off from the actual time and that would be:

Here in this case, Edward's estimate would be the farthest away with +29 seconds.

20.

To calculate the time difference between these two, we simply just take the data from 18 and compare Aileen and Edward. In this case, it would be a difference of 25 seconds.

21.

Again, we take a look at Alejandra and Chris's estimate and compare the time difference. In this case, it would be 40 seconds.

22.

Finally, to figure out the range, we essentially just need to figure out the time difference between the lowest time and the highest time estimated. So that would be Chris's time (3 minutes, 20 seconds) and Edward's time (4 minutes, 15 seconds) and that would be 55 seconds.

Answer:

4x² + 22x - 12

Step-by-step explanation:

A = bh/2

A = (4x - 2)(2x + 12)/2

A = (8x² + 48x - 4x - 24)/2

A = (8x² + 44x - 24)/2

A = 4x² + 22x - 12

Answer:

you got that

Step-by-step explanation:

wet wet wet

Answer:

{ x : x > 2 }

Step-by-step explanation:

4x - 3 + 6x > 5x + 7 , that is

10x - 3 > 5x + 7 ( subtract 5x from both sides )

5x - 3 > 7 ( add 3 to both sides )

5x > 10 ( divide both sides by 5 )

x > 2

Answer:

C

Step-by-step explanation:

Each year will have 25 student

Foreign direct investment helps improve the economic situation of a recipient country by increasing employment opportunities in the country that the company invests in.

When foreign companies invest in a recipient country, they often establish or expand their operations, which requires hiring local workers. This leads to job creation and reduces unemployment rates in the recipient country.

Increased employment opportunities result in more individuals having access to income and improved standards of living.

Foreign direct investment also contributes to the transfer of technology, knowledge, and skills to the recipient country. Multinational companies often bring advanced technologies, production techniques, and management practices that may not have been available or widely adopted in the recipient country.

Furthermore, foreign direct investment stimulates domestic investment and encourages the growth of local businesses. When foreign companies invest in a recipient country, they often form partnerships or engage in supply chain relationships with local firms.

Overall, foreign direct investment increases employment opportunities, fosters technology transfer, and stimulates domestic investment, all of which contribute to improving the economic situation of a recipient country.

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Answer:

50 + 5.50x <= 100

Step-by-step explanation:

Just did the test

Answer:

Step-by-step explanation:

What are the other colors?

if there are two colors ( red and another color ) then the probability of the pointer landing on red will be 1/2

similarly if there are 3 colors ( red and two other colors) then the probability of the pointer landing on red will be 1/3 ....

depends on how many colors are there

The congruent reason for the triangles is (b) HL theorem

From the question, we have the following parameters that can be used in our computation:

Triangles = FGH and JHK

The SSS similarity theorem implies that the corresponding sides of the two triangles in question are not just similar, but they are also congruent

From the question, we can see that the following corresponding sides on the triangles:

Sides GH and HK

Sides FH and JK

These parameters are given in reasons (2) and (3) and it implies that these sides are congruent sides

For the triangle to be congruent by SSS, the following sides must also be congruent

GH must be congruent to HK

The above statement is true because point H is the midpoint of line GK

This is indicated in reason (2)

Hence, the congruent statement is SSS.

However, we can also make use of the HL theorem in (B)

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Answer:

5,976 workers

Step-by-step explanation:

498 times 12 = 5976

Answer: 41.5

Step-by-step explanation: you have to do 498 divided by 12 and then you will get your answer.

So we will use trigonometry to solve this because it is a right triangle. The hypotenuse is the ladder (h) and the two smallest sides are the floor and the vertical wall (w).

That angular ladder does with the ground= A

sin A = opposite / hypotenuse

No, the ladder will not be safe

Now let's make it safe:

The lenght of the ladder (w) is constant, so it remains 15

So now let's ask in an inequality what height will be safe (70degrees or less)

What does that mean? As long as you position the ladder against the wall so that the height from the ground to the top of the ladder is <14.09 ft

The number she'd have is:

Explanation:

First, let's see which number is in the tens place and which number is in the ones place (the units place).

In the number 548, the place value of 5 is hundreds, the place value of 4 is tens, and the place value of 8 is ones (or units).

So if Sera adds two to the units, she'll have 10. But, since we can't write the number as 5410 (that would be a totally different number), we just write 0 in the units place, and shift 1 to the tens place, which gives us :

550

That's not all, since we also add 1 to the tens:

560

Answer:

Do you mean: When lit, a candle loses 5% of its original height every hour. Jennifer lit a candle with an original height of 8 inches.

Until the candle has been burning for at least _____ hours, the height of Jennifer's candle will be more than 7 inches.

If so your answer is: 2.5!

Answer:

\(\text{f)} \quad y=80(1.1)^x\)

\(\text{g)} \quad y=225(0.8)^x\)

\(\text{h)} \quad y=5(3)^x\)

Step-by-step explanation:

\(\boxed{\begin{minipage}{9 cm}\underline{General form of an Exponential Function}\\\\$y=ab^x$\\\\where:\\\phantom{ww}$\bullet$ $a$ is the initial value ($y$-intercept). \\ \phantom{ww}$\bullet$ $b$ is the base (growth/decay factor) in decimal form.\\\end{minipage}}\)

Given points:

Substitute the given (x, y) points into the exponential function formula to create two equations:

\(\implies 72.73=ab^{-1}\)

\(\implies 106.48=ab^3\)

Divide the second equation by the first equation to eliminate a:

\(\implies \dfrac{106.48}{72.73}=\dfrac{ab^3}{ab^{-1}}\)

\(\implies \dfrac{106.48}{72.73}=\dfrac{b^3}{b^{-1}}\)

Solve for b:

\(\implies \dfrac{106.48}{72.73}=b^3 \cdot b^{1}\)

\(\implies \dfrac{106.48}{72.73}=b^{3+1}\)

\(\implies \dfrac{106.48}{72.73}=b^4\)

\(\implies b=1.09998968...\)

\(\implies b=1.1\)

Substitute the found value of b into one of the equations and solve for a:

\(\implies 72.73=a \cdot (1.09998968...)^{-1}\)

\(\implies a=80.0022499...\)

\(\implies a=80\)

Substitute the found values of a and b into the exponential function formula:

\(\implies y=80(1.1)^x\)

---------------------------------------------------------------------------------------

Given points:

Substitute the given (x, y) points into the exponential function formula to create two equations:

\(\implies 351.56225=ab^{-2}\)

\(\implies 115.2=ab^3\)

Divide the second equation by the first equation to eliminate a:

\(\implies \dfrac{115.2}{351.56225}=\dfrac{ab^3}{ab^{-2}}\)

\(\implies \dfrac{115.2}{351.56225}=\dfrac{b^3}{b^{-2}}\)

Solve for b:

\(\implies\dfrac{115.2}{351.56225}=b^3 \cdot b^{2}\)

\(\implies \dfrac{115.2}{351.56225}=b^{3+2}\)

\(\implies \dfrac{115.2}{351.56225}=b^5\)

\(\implies b=0.800000113...\)

\(\implies b=0.8\)

Substitute the found value of b into one of the equations and solve for a:

\(\implies 115.2=a(0.800000113...)^3\)

\(\implies a=224.999904\)

\(\implies a=225\)

Substitute the found values of a and b into the exponential function formula:

\(\implies y=225(0.8)^x\)

---------------------------------------------------------------------------------------

Given points:

Substitute the given (x, y) points into the exponential function formula to create two equations:

\(\implies 405=ab^4\)

\(\implies 98415=ab^9\)

Divide the second equation by the first equation to eliminate a:

\(\implies \dfrac{98415}{405}=\dfrac{ab^9}{ab^4}\)

\(\implies 243=\dfrac{b^9}{b^4}\)

Solve for b:

\(\implies 243=b^9 \cdot b^{-4}\)

\(\implies 243=b^{9-4}\)

\(\implies 243=b^{5}\)

\(\implies b=3\)

Substitute the found value of b into one of the equations and solve for a:

\(\implies 405=a \cdot 3^4\)

\(\implies 81a=405\)

\(\implies a=5\)

Substitute the found values of a and b into the exponential function formula:

\(\implies y=5(3)^x\)

By answering the presented question, we may conclude that As a result, the slope of \(y_3\) = -4(x - 5) is -4.

The slope of a line indicates how steep it is. The term "gradient overflow" refers to a mathematical equation for the gradient (the change in y divided by the change in x).

The slope is defined as the ratio of the vertical change (rise) between two places to the horizontal change (run). The slope-intercept form of an equation is used to express a straight line's equation, which is written as y = mx + b.

The y-intercept is found where the slope of the line is m, b is b, and (0, b). For example, the slope and y-intercept of the equation y = 3x - 7 (0, 7). The slope of the line is m. b is b at the y-intercept, and (0, b).

The above equation is in point-slope form: y - \(y_1\)= m(x - \(x_1\)), where (\(x_1\), \(y_1\)) is a point on the line and m is the slope.

We can see by comparing the provided equation to the point-slope form that \(x_{1} ,y_1\)) = (5, 3) and m = -4.

As a result, the slope of \(y_3\) = -4(x - 5) is -4.

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Answer:

y = 2x + 7

Step-by-step explanation:

y + 1 = 2 ( x + 4 )

y = 2x + 8 - 1

y = 2x + 7

The "M" in M-value stands for "Maximum." For a given ambient pressure, an M-value is defined as the maximum value of inert gas pressure (absolute) that a hypothetical "tissue" compartment can "tolerate" without presenting overt symptoms of decompression sickness (DCS).

Hope this helps you if it does pls mark me brainiest

Answer:

number is 2

Step-by-step explanation:

let the number be n then 8 times the number is 8n, subtract 1 from this and

8n - 1 = 15 ( add 1 to both sides )

8n = 16 ( divide both sides by 8 )

n = 2

that is the number is 2

Answer: 519 120

Step-by-step explanation:

84*84=7056

7056/7=1008

1008*515=519 120

Answer:

4.2

Step-by-step explanation:

In a 45°45°90° triangle, the ratios of the sides to the hypotenuse is x : x√2

So if x√2 = 6, x = 3√2

3√2 is approximately 4.2

Hope this helps.

Answer:

AA Similarity

i hope this helps :)

Answer:

37.50

Step-by-step explanation:

hope this helps!!

Answer:

z=26

Step-by-step explanation:

4z-8+3z+6=180

7z-2=180

7z=182

z=26

Answer:

z=26

Step-by-step explanation:

add the 2 equation together to equal 180

4z-8+3z+6

combine like terms

7z-2=180

add 2 to both sides

7z=182

divide by 7 to isolate z

z=26

Find the x-and y-intercepts of the graph of the function f(x) = x^4 − 1

Answer: The given equation is

f(x) = x^{4} - 1

x- and y-intercept of the graph of the function f(x) = x^4 - 1 is

x-intercept(s): (1,0), (−1,0)

y-intercept(s): (0, −1)

A graph of the above point is attached

Step-by-step explanation:

Given equation, f(x) = x^{4} - 1

let's assume the above equation with respect to y to find intercept i.e

y = x^{4} - 1 .........................(i)

Now, for the x-intercept put y = 0 in eq.(i)

So, we get,

0 = x^4 - 1

x^4 = 1

x = -1, +1

from above we get the x-intercept (1,0), (−1,0)

Now, for the y-intercept put x = 0 in eq.(i)

So, we get

y = 0^4 - 1

y = -1

from above we get the y-intercept (0, -1)

Therefore, from all above

x-intercept(s): (1,0), (−1,0)

y-intercept(s): (0, −1)

Graph of the given equation f(x) = x^4 - 1 with intercept is