Solve the system of equations by graphing where f(x)=5-2x and g(x)=(2/3)x-2. What is the value of x? 0 1 2 3 4

Using the rational exponent property, an equivalent expression for[tex]\(x^{3/4}\[/tex]  can be written as[tex]\(\sqrt[4]{x^3}\).[/tex]

The rational exponent property states that for any real number a and positive integer[tex]\(n\), \(a^{m/n} = \sqrt[n]{a^m}\)[/tex] . Applying this property to the given expression[tex]\(x^{3/4}\[/tex] ), where (m = 3) and (n = 4), we can rewrite it as [tex]\(\sqrt[4]{x^3}\)[/tex] . This is derived by taking the fourth root of [tex]\(x^3\),[/tex]  which is equivalent to raising [tex]\(x^3\)[/tex] to the power of[tex]\(1/4\).[/tex]

To further understand this, consider the original expression [tex]\(x^{3/4}\).[/tex] This represents the fourth root of [tex]\(x^3\)[/tex] , as the numerator 3 indicates the power to which x is raised, and the denominator 4 indicates the root. Expressing it as [tex]\(\sqrt[4]{x^3}\)[/tex] provides a clearer representation of the same mathematical concept, emphasizing the fourth root of [tex]\(x^3\).[/tex]

In mathematical notation, the rational exponent property is a useful tool for simplifying expressions involving fractional exponents. It allows us to transform expressions between radical form and exponent form, providing flexibility in mathematical manipulations and aiding in the understanding of the underlying concepts.

Answer:

Number of songs played in commercial are 7 and  Number of songs played in movie are 5.

Step-by-step explanation:

Let Number of songs played in commercial be x

and Number of songs played in movie be y.

Total number of songs played =12

Hence,

[tex]x+y=12\ \ \ \ equation \ 1[/tex]

Also

Cost for songs played in commercial = $50

Cost for  songs played in movie = $130

Total Money earned = $1000

Hence,

[tex]\$50x+\$130y=\$1000[/tex]

Dividing by 10 on both side we get;

[tex]\$5x+\$13y=\$100\ \ \ \ equation \ 2[/tex]

Now multiplying equation 1 by 5 we get;

[tex]5x+5y=60 \ \ \ \ equation \ 3[/tex]

Now Subtracting equation 3 from equation 2 we get;

[tex](5x+13y=100)- (5x+5y=60)\\8y=40\\y=\frac{40}{8}=5[/tex]

y = 5

x + y = 12

x + 5 = 12

x = 12 - 5

x = 7

Hence, Number of songs played in commercial are 7 and  Number of songs played in movie are 5.

Answer:

The  number of students not in the marching band is 346.5  

Step-by-step explanation:

Given as :

The total number of children that attend a high school = 450

The percentage of students in the marching band  = 23 %

Let The number of students not in the marching band = x

Now ,

∵ The percentage of students in the marching band  = 23 %

∴ The percentage of students not in the marching band  = 100 % - 23 % = 77 %

So, The number of students not in the marching band = 77 % of the total number of students in the school

I.e  The number of students not in the marching band = 77 % × 450

Or ,  The number of students not in the marching band = [tex]\frac{77}{100}[/tex] × 450

∴ The number of students not in the marching band = 346.5

And The number of students in the marching band = 450 - 346.5 = 103.5

Hence The  number of students not in the marching band is 346.5  Answer

The solution of inequality would be -

c ≥ 1.95

In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. There are two types of inequalities namely strict and slack inequalities.

We have the following inequality -

20 ≥ −3.2(c − 4.3)

It is given that -

20 ≥ −3.2(c − 4.3)

−3.2(c − 4.3) ≤ 20

-3.2c + 13.76 ≤ 20

-3.2c ≤  20 - 13.76

-3.2c ≤  6.24

c ≥ 1.95

Therefore, the solution of inequality would be -

c ≥ 1.95

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Answer:

The graph is shown below.

The time to make the taste to half is 4.265 s.

Step-by-step explanation:

Given:

Initial value of the taste is, [tex]Q_0=1[/tex]

Therefore, the quality of taste over time 't' is given as:

[tex]Q(t)=Q_0(0.85)^t\\Q(t)=1(0.85)^t[/tex]

Now, when the taste reduces to half, [tex]Q=0.5[/tex]

Therefore,

[tex]0.5=1(0.85)^t[/tex]

Taking natural log on both the sides, we get:

[tex]\ln(0.5)=\ln(0.85)^t\\\ln(0.5)=t\ln(0.85)\\t=\frac{ln(0.5)}{\ln(0.85)}=4.265\ s[/tex]

Therefore, the time to make the taste to half is 4.265 s.

The function would be h = 270 - 2.5s, where h is the height (in feet) and s it the time (in seconds) that has passed.

The 270 represents the initial value, which is given. We are told that the initial height of the block is 270 feet.

2.5s represents the feet that it has descended. We know the block is lowered at a rate of 2.5 feet per second. Multiplying this by s, the time, will give us how much it has descended.

The height at any point is can be given by function f(s) = 270 - 2.5s.

Given to us,

concrete block top height, H = 270 feet,

speed of the block, v = 2.5 feet/second,

We know that  [tex]\rm \bold{speed = \dfrac{Distance}{Time} }[/tex],

thus,  [tex]\rm \bold{Distance = speed\times Time}[/tex]

So, we can write, height (distance from the top height) covered is "s" seconds as,

[tex]\bold{h = v \times s}=\bold{2.5\times s} = \rm \bold{2.5s}[/tex]

therefore, we can write,

Height at any point = Top height - height covered

                                 = 270 - 2.5s

Hence, the height at any point is can be given by function f(s) = 270 - 2.5s.

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Answer:

353

Step-by-step explanation:

355-42=x-40

I just need to subtract 2 from 355 to get x because I subtracted 2 from 42 to get 40.

355-2=353=x

Answer:

15a-21

Step-by-step explanation:

could be wrong though

Answer:

Tommy has 202 Chocolates with him in, his uncle gave him 50 1/2 bars of Chocolate each bar is further divided in 1/4 pieces to make 1 chocolate. Find the total number of Chocolates Tommy has?

Step-by-step explanation:

Given:

[tex]\frac{50\frac{1}{2}}{\frac{1}{4}}+202[/tex]

The Story can be created as :

Tommy has 202 Chocolates with him in, his uncle gave him 50 1/2 bars of Chocolate each bar is further divided in 1/4 pieces to make 1 chocolate. Find the total number of Chocolates Tommy has?

yes because in a standard form that that equation is in, it'd be y=mx=b. the m represents the constant of proportionality or the rate of change. another name for it is the slope. in this case, the 9/5 is the m & c is x. meaning that, there is one & it is 9/5

Answer:

5 more weeks

Step-by-step explanation:

5 more weeks if he already sold 15. 10 more weeks if you exclude the 15 he already sold.

Answer:

24.5

Step-by-step explanation:

20 + 140-50/20

= 20 + 4.5

=24.5

Answer:

y=1/2x+5

Step-by-step explanation:

y-y/x-x for slope

4-3/-2-(-4) 1/2

Answer:

y= --2/4+5

Step-by-step explanation:

Answer:

(x + 6y)(x - 6y)

Step-by-step explanation:

The expression x² - 36y² can be factored.

Since the expression is a difference (subtraction) between two numbers that are square (x² = x*x and 36y² = 6y*6y), the factoring can be done as a "difference of squares".

The rules is generalized as: [tex]x^{2} - y^{2} = (x - y)(x+y)[/tex]

To factor x² - 36y², take each square roots for each of the numbers and add and subtract between them.

x² - 36y²

= (√x² + √36y²)(√x² - √36y²)

= (x + 6y)(x - 6y)

Answer: 1.5

Step-by-step explanation:

0.72 • 2 = 1.5

Answer:1.50

Step-by-step explanation: 75•2 = 1.50

Answer:

16 times 1440= 23040 blinks a day

Step-by-step explanation:

So umm... 16 blinks a minute so for every minute is 16 blinks so just multiply the 1440 minutes so yeah..

You can look them up on here or other apps/websites.

y = 17.5 when x = 5

Step-by-step explanation:

When two variables are in direct proportion i.e. change in one variable causes change in other variable it can be expressed mathematically as:

y∝x

when the proportionality symbol is removed a proportionality constant is introduced

So,

[tex]y = kx[/tex]

Putting y = 7 and x = 2

[tex]7 = k * 2\\k = \frac{7}{2}\\k = 3.5[/tex]

So the expression will be:

[tex]y = 3.5x[/tex]

Now putting x = 5

[tex]y = 3.5 * 5\\y = 17.5[/tex]

Hence,

y = 17.5 when x = 5

Keywords: Proportion, variables

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Answer: N^5/2 thats the answer thank you :)

Answer: 5/8 11/12 3/10 I think

Step-by-step explanation:

Find common denominators (LCM is 120).

3/10 = 36/120

11/12 = 110/120

5/8 = 75/120

Now, we can put them from least to greatest.

3/10, 5/8, 11/12

______

Best Regards,

Wolfyy :)

Answer:

b is the right answer

Step-by-step explanation:

because the ratio of 98÷10=9.8

when we did the ration of 1078÷110=9.8

we can say that both ratio is same.

Answer: [tex]\frac{98}{10}[/tex] ; x = 110

Step-by-step explanation:

Since the ratio of weight to mass is constant , it implies:

[tex]\frac{490}{50}[/tex] = [tex]\frac{1078}{x}[/tex]

490x = 1078 X 50

490x = 53900

x = 53900/490

x = 110

Therefore the ratio of weight to mass will be :

1078/110

98/10

Answer:

No

Step-by-step explanation:

For the relation to be a function

Each value of x from the domain ( values on left ) must map to exactly one unique value of y in the range ( values on the right )

Here x = 0 → 0 and 1 ( that is 2 values from the range )

Thus this does not represent a function

Answer:

THE ANSWER IS 1.5

Step-by-step explanation:

13.5 is the 3rd and last value. 6 is the first value.

The formula you need to use is an= 3r^n-1

13.5=3r^3-1

THE REASON YOU USE 3 IS BECAUSE IN TOTAL THERE ARE 3 TERMS AND WE ARE SOLVING FOR ONE MISSING TERM.

Now we bring 3 over to 13.5 to get r alone because we are solving for r

13.5/3 =r^2

Now we want to get rid of the square root. So we...

√13.5/3 =√r^2

The final answer is 1.5=2

Answer:

x=y^2

Step-by-step explanation:

cause the definition of equation is one x correspond to one y,but one y can correspond to 2 x,

the picture I give to you a x correspond to 2 y

The function that does not represent the straight curve and has a varying rate of change are nonlinear functions.

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

here,
According to the question,
A nonlinear equation is given as,
y = x²

Now plotting the curve,
When we see that the relationship does not contain a straight line, and has a varying rate of change are nonlinear functions.
So this function is not linear.

Thus, the function that does not represent the straight curve and has a varying rate of change are nonlinear functions.

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good morning,

Answer:

2,6,18

Step-by-step explanation:

6/2=3 and 18/6=3 then 2,6,18 represent a geometric series.

6/2=3 and 10/6≠3 then 2,6,10 doesn’t represent a Géométric series.

:)

Step-by-step explanation:

7 minutes are 7*60=420 seconds

420+24=444

444:2=222 seconds

222 seconds are 3minutes and 42 seconds

Answer:3.7 is half of 7 minutes and 24 seconds

Step-by-step explanation:

Answer:

2:7

Step-by-step explanation:

There are 4 boys and 14 total students. That ratio is 4:14, and to find the simplest form you divide both numbers by the greatest common factor, which is 2. That leaves you with 2:7, the final answer.

Answer: simple just put boys=4ovrwhole class =14 put it in fraction 4/14 simplify you get 2/7

Step-by-step explanation:

Answer:

(:5) 5p=1/15 (:5)

p=1/3

Answer:

p= .3333333

Step-by-step explanation:

About 2.0 feet space will be left for aisle.

Step-by-step explanation:

Width of airliner = 9.34 feet

Width on one seat = 1.46 feet

Seats to install = 5

Width of 5 seats = 5*1.46 = 7.3 feet

Space left for aisle = Width of airliner - width of 5 seats

[tex]Space\ left\ for\ aisle=9.34-7.3\\Space\ left\ for\ aisle=2.04\ feet[/tex]

Rounding off to nearest 10th

Space left for aisle = 2.0 feet

About 2.0 feet space will be left for aisle.

Keywords: multiplication, subtraction

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To find the space left for the aisle, we first calculate the total seat width (5 seats × 1.46 feet/seat) and subtract it from the airliner width (9.34 feet), resulting in 2.0 feet of space for the aisle when rounded to the nearest tenth.

To calculate the available space for the aisle in an airliner, we first determine the total width consumed by the seats. Since each seat is 1.46 feet wide and there are 5 seats in a row, we multiply the width of one seat by the number of seats:

1.46 feet/seat × 5 seats = 7.3 feet

Next, we subtract the total width of the seats from the total width of the airliner to find the space left for the aisle:

9.34 feet (total width) - 7.3 feet (width of seats) = 2.04 feet

Therefore, rounded to the nearest tenth, there would be approximately 2.0 feet of space left for the aisle.