Ben drove 230 kilometers in 3 hours, and Pia drove 250
kilometers in 3 hours. Without making any calculations,
who drove faster? Explain how you know.

The value of x in the considered inequality's solution set is given by -10.

What is  inequality ?

In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign ()" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than.

We have;

3(x - 4) ≥ 5x + 2

By solving;
3(x - 4) ≥ 5x + 2

3x - 12 ≥ 5x + 2

Adding -3x-2 on both sides we get ;

-12-2 ≥ 5x-3x

-14 ≥ 2x

Dividing both sides by 2,we get;

-14/2 ≥ 2x/2

-7 ≥ x

x ≤ -7

As a result, any numbers that are less than or equal to -7 comprise the solution set for this inequality.

There is currently only the value -10 in the solution set because -10 ≤ -7.

As a result, the value of x in the collection of solutions to the inequality under consideration is provided by -10.

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Answer:

The answer to the question provided is option 2.

Step-by-step explanation:

f(x) = x² - 3x + 5

f(-2) = (-2)² - 3.(-2) + 5

f(-2) = 4 + 6 + 5

f(-2) = 15

Answer:

Step-by-step explanation:

Comment

In general, f(x) can be thought of as being y. So the equation could read as "Let x = - 2" when y = x^2 - 3x + 5.

Another way of thinking of it is by saying f(-2), wherever you see an x on the right hand side, substitute the value given on the left side (in this case x = - 2

Solution

f(-2) = (-2)^2 - 3x + 5

f(-2) = 4 - 3(-2) + 5                   Combine

f(-2) = 4 + 6 + 5                        Add

f(-2) = 15

A relation that has more than one output of each input. That is not a function. A function only has one output of each input. Function a and function b are linear functions. Function a is represented by the table values. function b is represented by the equation y=3x+4.

Domain, is a term that is used to measure the independent variable’s values. Also known as the “x” values. It tells you what values of “x” are applicable in the function. What values will satisfy the function.

Range, is a term used to measure the dependent variable’s values. Also known as the “y” values. It tells you what values of why does the graph of the function extends till.

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Answer:

In the screenshots down below

Step-by-step explanation:

In the screenshots

The required domain and range is 0 ≤ x ≤ 40 and 60 ≤ y ≤ 180 respectively.

Given that,
A construction crew lengthened a road. It took 40 days. The graph shows the total length of the road (in kilometers) versus time (in days).
To determine the domain and the range of the function shown.

The range is the set of values that come out to an outcome for certain mathematical operations.

Here,
The curve on the graph shows a function,
And its endpoints of the horizontal axis is 0 and 40, and the vertical endpoints are 60 and 180,
So,
Domain = 0 to 40 on x or 0 ≤ x ≤40
Range = 60 to 180 on y or 60 ≤ y ≤ 180

Thus, the required domain and range is 0 ≤ x ≤ 40 and 60 ≤ y ≤ 180 respectively.

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n 44

chhetri a noob phathau vhanako science and technology

Answer:

Step-by-step explanation:

Subtract 11 from n. Then, divide by 4.

(n - 11) : 4 =

(n - 11) * 1/4 =

\(\frac{1}{4} n - 11/4\\\)

Answer:

11.25

Step-by-step explanation:

7+2=9, 9÷\(\frac{4}{5}\)=11.25

Answer:

The number is 11¼.

Step-by-step explanation:

\( \frac{4}{5} \times x - 2 = 7 \\ \frac{4}{5} x - 2 = 7 \\ \frac{4}{5} x = 7 + 2 \\ \frac{4}{5} = 9 \\ \frac{ \frac{4}{5} }{ \frac{4}{5} } x = \frac{9}{ \frac{4}{5} } \\ x = 11 \frac{1}{4} \)

The function values are f(10) = 198 and g(-6) = 24/7; the range of h(x) is 3/5 < h(x) < 31/25 and the inverse function is p-1(x) = -(1 + 3x)/(5 + x)

Given that

f(x) = 2x^2 - 2

g(x) = 4x/(x - 1)

So, we have

f(10) = 2(10)^2 - 2 = 198

g(-6) = 4(-6)/(-6 - 1) = 24/7

Here, we have

h(x) = (7x - 4)/5x

Where

1 < x < 5

So, we have

h(1) = (7(1) - 4)/5(1) = 3/5

h(5) = (7(5) - 4)/5(5) = 31/25

So the range is 3/5 < h(x) < 31/25

Here, we have

P(x) = (5x - 1)/(3 - x)

So, we have

x = (5y - 1)/(3 - y)

This gives

3x - xy = 5y - 1

So, we have

y(5 + x) = -1 - 3x

This gives

y = -(1 + 3x)/(5 + x)

So, the inverse function is p-1(x) = -(1 + 3x)/(5 + x)

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Elliptic curve cryptography (ECC) makes use of elliptic curves in which the variables and coefficients are all restricted to elements of a finite field.

ECC is a type of public-key cryptography that is based on the difficulty of solving the elliptic curve discrete logarithm problem (ECDLP), which is a variant of the discrete logarithm problem in which the group operation is performed on points on an elliptic curve.

ECC is particularly useful in settings where computational resources are limited, such as mobile devices and smart cards, as it provides the same level of security as other public-key cryptographic systems but with smaller key sizes.

ECC also offers other advantages over traditional public-key cryptography such as faster computation times, lower power consumption, and smaller message sizes.

ECC is widely used in a variety of applications, including digital signatures, encryption, and key exchange. It is implemented in many cryptographic standards, such as the Transport Layer Security (TLS) protocol used to secure internet communications, and is considered to be one of the most promising cryptographic techniques for the future.

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Complete question is:

___________ makes use of elliptic curves in which the variables and coefficients are all restricted to elements of a finite field.

Answer:

No image

Step-by-step explanation:

Answer: Benchmark numbers can be used to state that the square root of 60 is between 6 and 7.

Answer: 50 and 100

Step-by-step explanation:

( sorry if this is not what you meant ;-; )

Answer:

£ 11.20

Step-by-step explanation:

Cost of charge per mile = 60 p

Cost of charge for 12 miles = 0.60 * 12

                                             = £7.20

Charge paid by Antoni = 4 + 7.20 = £ 11.20

Answer:

C = 132°

Step-by-step explanation:

(5y + 28) = 12y

5y - 5y + 28 = 12y - 5y

28 = 7y

y = 4

12 (4)

= 48

48 + C = 180°

48 - 48 + C = 180 - 48

C = 132°

Answer:

The COP is between 45.57 and 3 is 15.19 (I think)

Step-by-step explanation:

It is pretty simple, you just divide 45.57 and 3 to get an answer for just a single digit, in this case, it would be 1-15.19 just like 3-45.57.

the assumption is that "3" is the value of the independent variable whilst 45.57 is the result, thus if that's the case, then we can say that

\(\qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad \stackrel{\textit{constant of proportionality}}{y=\stackrel{\downarrow }{k}x~\hfill } \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \textit{we know that} \begin{cases} x=3\\ y=45.57 \end{cases}\implies 45.57=k(3)\implies \cfrac{45.57}{3}=k\implies 15.19=k\)

Step-by-step explanation:

Given the polynomial function P(x)=x^{5}-2x^{4}-7x^{3}+x^{2}+20,

p(10) is gotten by substituting x = 10 into the function and evaluating the output as shown;

P(10)=10^{5}-2(10)^{4}-7(10)^{3}+(10)^{2}+20

P(10)=100,000-2(10,000)-7(1000)+(100+20

P(10)=100,000-20,000-7,000+120

P(10)=80,000-7000+120

P(10)=73000-120

P(10)= 72, 880

When x = -8

P(-8)=(-8)^{5}-2(-8)^{4}-7(-8)^{3}+(-8)^{2}+20

P(-8)= -32,7682+2(4096)-7(512)+64+20

P(-8)= -32,7682+8192-3584+64+20

P(-8) = -322,990

Answer:

Step-by-step explanation:

7 / 15 as a decimal is 0.4667

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Hi there!

~

\(\frac{7}{15} = 0.4667\)

Decompose \(\frac{7}{15}\) into a difference of fractions whose representations we already know:

\(\frac{7}{15} = \frac{10}{15} - \frac{3}{15} = \frac{2}{3} - \frac{1}{5} = 0.6 - 0.2 = 0.4667\)

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we make a ratio between the number of the selected snakes and the total of snakes

selected snakes

are 3 feet long or bright orange

4 are 3 feet long and 6 are orange, but 2 oranges are 3feet long too, then we count

Answer:

scale factor from A to B = 3

Step-by-step explanation:

the scale factor is the ratio of corresponding sides, image to original

scale factor = \(\frac{9}{3}\) = 3 ( measure of horizontal sides )

The starting price of a hotem room is $48.00.

After 1 year, this price increases by 5.1%, meaning it's increased by a factor of 1.051 or 1 + 0.051:

$48.00 (1 + 0.051) ≈ $50.45

After another year, this price increases by another 5.1%, so the previous amount is increased by a factor of 1.051, which is equivalent to 1.051² times the initial price:

$50.45 (1 + 0.051) = $48.00 (1 + 0.051)² ≈ $53.02

After another year, another increase:

$53.02 (1 + 0.051) = $48.00 (1 + 0.051)³ ≈ $55.72

And so on. You should start to see where the given formula comes from,

\(y = a(1+r)^t\)

where a = $48.00 is the starting price, r = 0.051 is the rate at which the price increases, and t is number of years.

Then in 32 years, the price of the room will be

$48.00 (1 + 0.051)³² ≈ $235.79

Given the rhombus labelled ABCD as shown;

Note that the adjacent side of the parallelogram are parallel to each other i.e AD//BC and AB//CD

You will see that the line AD is parallel to line BC and since teo parallel li nes has the same slope, hence the slope of tghe line AD will be the same as that of BC.

Given

Since slope of AD as 2/3, hence the slope of the line BC will also be 2/3

The value of a for the given expression will be -3.31.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the expression is 3.6= − a/0.8 − 1.6 − 0.8 a ​ −1.6. The value of a will be calculated as below,

3.6 = − a/0.8 − 1.6 − 0.8 a ​ −1.6

3.6 + 1.6 + 1.6 = -a / 0.8  - 0.8a

6.8 = ( -a - 0.64a ) / 0.8

5.44 = -1.64a

a = -3.31

Therefore, the value of a will be -3.31.

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The measurement that is represented on the x-axis is Time and the unit it is measured in is hours

From the question, we are to determine the measurement that is represented on the x-axis

On a cartesian plane, the x -axis is the horizontal line and the y-axis is the vertical line

In the given diagram,

The measurement that is shown on the x-axis (horizontal axis) is Time. It is measured in hours

and

The measurement that is shown on the y-axis (vertical axis) is Distance. the distance is measured in miles

Hence, the measurement that is represented on the x-axis is Time and the unit it is measured in is hours

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Add the half circle to the rectangle and subtract the triangle.

Area of half circle = 1/2 x pi x 8.5^2 = 113.4325

Area of rectangle = 11 x 17 = 187

Area of triangle: 1/2 x 3 x 17 = 25.5

Total area: 113.4325 + 187 - 25.5 = 274.9325 square m

Perimeter: outside dimension for 1/2 circle = 1/2 x 3.14 x 17 = 26.69

Perimeter = 26.69 + 11 + 11 + 9 + 9 = 66.69 m

Answer:

choosing the correct number between 1 and 10

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Answer:

The approximate user base of the social media site 10 months from now would be approximately 52,374.

Step-by-step explanation:

To calculate the approximate user base of the social media site 10 months from now, considering a 4% increase per month, we can use the following steps:

1. Calculate the monthly growth factor: 1 + (4% / 100) = 1 + 0.04 = 1.04

2. Apply the growth factor to the current user base for each month:

  Month 1: 35,930 * 1.04 = 37,387.2 (approx.)

  Month 2: 37,387.2 * 1.04 = 38,868.49 (approx.)

  ...

  Month 10: Previous Month * 1.04

By repeating this calculation for each month, we can determine the approximate user base 10 months from now.

Month 1: 37,387.2

Month 2: 38,868.49

Month 3: 40,391.33

Month 4: 41,957.61

Month 5: 43,569.34

Month 6: 45,228.24

Month 7: 46,936.32

Month 8: 48,695.44

Month 9: 50,507.45

Month 10: 52,374.40 (approx.)

Therefore, the approximate user base of the social media site 10 months from now would be approximately 52,374.

Answer:

5x + 25

General Formulas and Concepts:

Pre-Algebra

Distributive Property

Algebra I

Step-by-step explanation:

Step 1: Define

5(x + 5)

Step 2: Expand

Answer:

Step-by-step explanation:

dang thats hard

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

The only transformation that would make a shape smaller or bigger is dilation.

Since this dilation is going from bigger to smaller you will have to use a number from in between 0 and 1.

\((x,y)-->(\frac{1}{2}x,\frac{1}{2}y)\)

Answer:

-23

Step-by-step explanation:

15 + 2n = -31

15 + 2n - 15 = -31 - 15

2n = -46

n = -23