E Homework: 3.1 Homework
Evaluate the following function at the values 2, -3, and x-2.
f(x) = x² +5
f(2)= (Type an integer or a simplified fraction.)

Answer:

The growth model that represents the population of this city is not linear--it is exponential:

\(f(t) = 10000( {1.025}^{t} )\)

\(t = 0 \: represents \: 2010\)

Answer:

x = 20°

Step-by-step explanation:

m∠CBA = 360 - 90 - 160 - 30 = 80

It's an isosceles Δ, therefore the base angles are congruent.

m∠CBA = m∠ACB = 80

Sum of interior angles of a Δ = 180

x = 180 - 80 - 80 = 20

Comparing the median of each box-and-whisker plot, the type of transportation that is LEAST likely to take more than 30 minutes is: d. train.

How to Interpret a Box-and-whisker Plot?

In order to determine the transportation that is LEAST likely to take more than 30 minutes, we have to compare the median of each data set represented on the box-and-whisker plot for each transportation.

The box-and-whisker plot that has the lowest median would definitely represent the the transportation that is LEAST likely to take more than 30 minutes, since median represents the typical minutes or center of the data.

Therefore, from the box-and-whisker plots given, the one for train has the lowest median. Therefore train would LEAST likely take more than 30 minutes.

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Answer:

Step-by-step explanation:

The segment sum theorem tells you the whole is the sum of the parts. That can be used to write an equation for y.

  RS +ST = RT

  (5y +5) +(4y +8) = 67

Simplifying, we get ...

  9y +13 = 67

  9y = 54 . . . . . . . . subtract 13

  y = 6 . . . . . . . . . divide by 9

RS = 5y +5 = 5·6 +5 = 35

ST = 4y +8 = 4·6 +8 = 32

The values of interest are ...

Answer:

midline = 1.5

Step-by-step explanation:

f(x) = d + a*cos (bx+c)

a = amplitude

b = part of the period

c = horizontal shift

d = vertical shift (midline location)

d = 1.5

Answer:

1.5

Step-by-step explanation:

1.5

Answer:

I will need a multiple choice but here is some of the answers that is true

25

50

75

150

225

450

Any of these numbers above is an answer if you see a answer that has any of these choose that number

Step-by-step explanation:

Hope this helps!

Answer:

please this search in Google

Answer:

B

Step-by-step explanation:

Answer:

60%

Step-by-step explanation:

Answer: 60.528

Solve:

  01.94      Line up the decimal points

x  31.20

-----------

605280

In 1.94, move the decimal place to the end, which is moving it 2 places. In 31.20, move the decimal place to the end, which is also moving it 2 places.  So in total, you've moved it 4 places.  In your answer, move the decimal place 4 places to the right.

605280 becomes 60.5280, which is 60.528

More thorough solving:

                  01.94

               x  31.20

                  --------

                  0000    (Multiply 0 and 4, 0 and 9, 0 and 1, & 0 and 0)

                 03880 ←(Multiply 2 and 4, 2 and 9, 2 and 1, & 2 and 0)

                019400 ←(Multiply 1 and 4, 1 and 9, 1 and 1, & 1 and 0)

              0582000 ←(Multiply 3 and 4, 3 and 9, 3 and 1 & 3 and 0)

              60.5280 (You get this when you add the numbers and place the decimal)

Now you're probably wondering where all of the zeroes from the right came from (the zeros that are bolded).

When you finish multiplying with the zero in the number 31.20,

you add a zero on the next line when you start multiplying with the other numbers.

Add one zero because it's the first number on the right.

When you finish multiplying with the 2, add 2 zeros on the line and start multiplying again.

Add two zeroes because it's the second number on the right.

Do the same for when you finish multplying with the 1, except add 3 zeroes and finish multiplying.

Add three zeroes because it's the third number on the right.

Now I know I didn't explain this in a good way, and I'm really sorry.

I'm just not able to take a picture of my work and show it, or make a video and link it or something.

I really recommend getting a teacher to help you or watching a video on how to multiply decimals.

But overall, I wish you luck! :)

Answer:

Hi

Please mark brainliest ❣️

Answer:

c. domain: {-2, 0, 2}, range: {-1, 1, 3}

Step-by-step explanation:

From the given points (negative 2, negative 1), (0, 1), (2, 3), we can determine the domain and range.

The domain represents the set of all possible x-values of the points, and the range represents the set of all possible y-values of the points.

In this case, we can see that the x-values are -2, 0, and 2, and the corresponding y-values are -1, 1, and 3.

Therefore, the correct answer is:

c. domain: {-2, 0, 2}, range: {-1, 1, 3}

Answer:

maximum! hope this helps

Answer:

(2+6)+4 = (8)+4 = 12

Step-by-step explanation:

Add the constant of 6 to the constant of 2

2+6

Add the constant 4 to the terms of (2+6)

(2+6)+4

there you go! there's your algebraic expression!

Mike's claim that (5,28.6) is a point on the exponential function g(x) is incorrect

The points are given as:

(3,6.5) and (4,17.55)

An exponential equation is represented as:

\(y = ab^x\)

Using the given points, we have the following equations:

\(ab^3 = 6.5\)

\(ab^4 = 17.55\)

Divide both equations:

\(ab^4 \div ab^3 = 17.55 \div 6.5\)

Evaluate

b = 2.7

Substitute b = 2.7 in \(ab^3 = 6.5\)

\(a * 2.7^3 = 6.5\)

Solve for a

\(a = \frac{6.5}{2.7^3}\)

Substitute \(a = \frac{6.5}{2.7^3}\) and b = 2.7 in \(y = ab^x\)

\(y = \frac{6.5}{2.7^3} * 2.7^x\)

His point (5,28.6) means that:

x = 5 when y = 28.6

Substitute x = 5 in \(y = \frac{6.5}{2.7^3} * 2.7^x\)

\(y = \frac{6.5}{2.7^3} * 2.7^5\)

Evaluate

y = 47.385

y = 47.385 and y = 28.6 are not the same

Hence, Mike's claim is incorrect

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associate property of multiplication

Step-by-step explanation:

it is the associate property of multiplication

Answer:

$38.08

Step-by-step explanation:

12% of 34.00 as an equation would be \(34*0.12\), \(34*0.12=4.08\) so we add 4.08 to the total of the lunch already. \(34.00+4.08=38.08\). So the answer is $38.08. Hope this helps :)

Answer: 2.88/1

Step-by-step explanation:

The value of the product of the number as given in the task content is; Choice B; 1.

It follows from the task content that the numbers whose product are to be determined are; ¾ and 1⅓.

To effectively multiply, we must convert the mixed number to a fraction as follows;

1⅓ = 4/3.

Hence, the product is; 4/3 × 3/4 = 12/12 = 1.

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Answer:

62 trees = 100%

62 / 2 = 31 trees

100% / 2 = 50%

31 trees = 50%

Step-by-step explanation:

The angle that the ramp makes with the ground is approximately 28.07 degrees.

If you know the lengths of two sides of a right triangle, you can use trigonometric ratios to calculate the measures of one (or both) of the acute angles.

Here,
The sin of the angle θ is the ratio of the opposite side (height of the ramp) to the adjacent side (length of the inclined portion of the ramp):

Sin(θ) = 8/17

We can use a calculator to find the inverse sin of this ratio to get the angle θ:

θ = sin⁻¹(8/17)

θ ≈ 28.07 degrees

Therefore, the angle that the ramp makes with the ground is approximately 28.07 degrees.

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Answer:

41 days

Step-by-step explanation:

In order to solve this you can count or you can create an equation based on the formula y = mx + b.

By doing this you will be able to save yourself time

y - total number of seconds

x - total number of days

m - how much is increased per day

b - initial value

Based on this information you can create the equation below & solve

49 = x + 8

41 = x

Therefore the answer is 41 days

A counter-example to the given conclusion is the difference between the numbers 15 and 25, where both are positive, but the difference gives a negative result.

Here we are shown some differences between positive numbers:

7 - 3 = 4

8 - 5 = 3

9 - 8 = 1

And the conclusion is:

"The difference of two positive numbers is always positive".

To find a counter-example we just need to find two positive numbers such that the difference between these two positive numbers gives a negative number as a result.

An example of that can be the numbers 15 and 25, if we take the difference we will get:

15 - 25 = -10

Here we can see that the difference between two positive numbers gives a negative number as an outcome, so this is our counter-example.

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The inverse of the divisor which can be used to complete the given equation would be 7/1.

The inverse of a divisor is defined as the changing of the numerator with the denominator when division is being carried out in fraction after which it can be multiplied to arrive at an answer.

The given fractions for division are as follows!

= 1/5 ÷ 1/7

= 1/5 × 7/1

= 7/5

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Answer:

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

Given:

To find the arc measure (θ) in radians, we can use the formula:

Now, plug in the given values:

To solve for θ, divide both sides by 4:

Simplify the expression:

So, the arc measure (θ) is 2π/3 radians

The best way to solve an equation of the form Ax+by=c could be either substitution, completing the squares or graphical method depending on the type of equation given.

Quadratic equation

The equation in the form Ax+by=c is a quadratic problem which could be approached in different ways depending on the specific equation given and the information provided.

The methods of approach are substitution, completing the squares or graphical method which all have proven to be suitable ways to arrive at the solution.

Hence, either of the three methods are good ways to solve such equation.

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Answer

Part A: The equation that can be used to determine the dimensions, in meters, of the field is 5500 = 2x² + 10x

Part B: width is 50 meters.

The formula for calculating the area of a rectangle is expressed with the equation;

A = lw

Such that the variables are expressed as;

We then have that;

l = 2x + 10

Substitute the values

5500 = (2x + 10)(x)

expand the bracket

5500 = 2x² + 10x

2x² + 10x - 5500

x² + 5x - 2750

x² + 55x - 50x - 2750

x(x + 55) - 50(x + 55)

x = 50 meters

Length = 2(50) + 10

Length = 100 + 10 = 110 meters

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The graph which correct shows an image and pre-image after reflecting across the line; y = -x as required in the task content is; Option 1.

It follows from the task content that the answer choice which correctly represents an image ajd pre-image after reflecting across the line; y = -x.

First it is noteworthy to know that the line; y = -x is one which passes through the origin and has a negative slope of; -1.

On this note, by observation; when the line y = -x is drawn; the graph which represents the image and pre-image after reflecting across the line; y = -x is; Option 1.

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The value of x in 1st equation is x ≤ 3 i.e.  x ∈ (-infinity,3] and the value of x in 2nd equation is x > 18 i.e.  x ∈ (18,infinity)

Given two equations  1)6x-10<8 and 2) \(\frac{x}{3}\)+6 > 12

Solving the above equations

1) 6x-10≤8

⇒6x ≤ 18

⇒X≤ 3

⇒x ≤ 3 i.e.  x ∈ (-infinity,3]

2)\(\frac{x}{3}\)+6 > 12

⇒\(\frac{x}{3}\) > 6

⇒x>18

⇒ x > 18 i.e.  x ∈ (18,infinity)

Therefore,The value of x in 1st equation is x ≤ 3 i.e.  x ∈ (-infinity,3] and the value of x in 2nd equation is x > 18 i.e.  x ∈ (18,infinity)

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