sum of 4(3x + 2) – 9 this is for algebra 2

A composite function that represents the number of Mexican pesos equivalent to x Chinese yuan. h(x) = ( [tex]\frac{x}{14.07}[/tex] )/ 0.15

x yuan to y dollars = f(x)

f(x) = 0.15 x

y dollars to x yuan

y= 0.15 x

x =  y / 0.15

y dollars to x pesos =g(y)

g(y) =14.07 y

x pesos to y dollars

x = 14.07 y

y = x / 14.07

Substituting the result of second into first,

pesos → dollars → yuan

Lets call this function, h(x) = converts x pesos into y yuan.

h(x) = ( [tex]\frac{x}{14.07}[/tex] )/ 0.15

= 0.474 x

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The area of her garden where Riya is applying Mulch is 0.25m³.

To understand this answer, we will analyze the information in the question statement. So, we know that Riya is applying Mulch to her Garden. The application of Mulch is at the rate of 250 000 cm^3 for every m^2. Now to find the rate for every m^3, we will use the basic conversion formula for converting cm to m:
we know that,

100 cm = 1m

Now we can write this formula as follows,

1 cm = 1 / 100 m

1 cm = 0.01 m

We will use the same relation for the values given to us in the question:
250, 000 cm^3 = 250, 000 x 1 cm x 1cm x 1cm

1 cm^3 = 1 cm x 1cm x 1cm

250, 000 cm^3 = 250, 000 x 0.1 x 0.1 x 0.1

From, 1 cm = 0.01 m

250, 000 cm^3 = 250, 000 x 0.000001

250, 000  cm^3 = 0.25 m^3

Hence Riya is applying at 0.25 m^3 per m^2 (meter square).

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Answer:

A linear function is of the form f(x)= mx+b

well, we know the commission is 6.5% from all sales, and when the sales are $3790, well, what's 6.5% of that?

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{6.5\% of 3790}}{\left( \cfrac{6.5}{100} \right)3790}\implies 246.35[/tex]

For the matrix:

[tex]\left[\begin{array}{ccc}4&-1\\8&2\\\end{array}\right][/tex]

The determinant is equal to 16.

Remember that for a general 2 by 2 matrix:

[tex]\left[\begin{array}{ccc}a_1&b_1\\a_2&b_2\\\end{array}\right][/tex]

The determinant is given by the simple formula:

D  = a₁*b₂ - b₁*a₂

This is the only thing we need to use in this problem, we will use this formula to find the determinant of the given 2 by 2 matrix.

In this case we have the matrix:

[tex]\left[\begin{array}{ccc}4&-1\\8&2\\\end{array}\right][/tex]

Then we can just use the given formula for the determinant, we will get

D = 4*2 - (-1)*8

We just need to solve that expression, we will get:

D = 8 - (-8) = 8 + 8 = 16

We can see that the determinant of the given matrix is equal to 16.

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The answers are:

Domain:  [-7, ∞)

Range: [-3, ∞)

Increasing: [-7, -2] U [4, ∞]

Decreasing: [-2, 4]

Positive: [-5, 2] U [6, ∞)

Negative: [-7, -5] U [2, 6]

The domain is the set of the possible inputs of the function, by looking at the graph we can see that the graph starts at x = -7 and keeps going to the right, so the domain is:

D: [-7, ∞)

The range is the set of the outputs, in this case, the minimum value is y = -3 and then it keeps going up.

R: [-3, ∞)

Now, the graph increases when it goes upwards, in this case the graph increases in:

[-7, -2] U [4, ∞]

And decreases on:[-2, 4]

And it is negative on the intervals where the function is below the horizontal axis: [-7, -5] U [2, 6]

And it is positive on the intervals: [-5, 2] U [6, ∞)

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8x+3y-6x+4y

=8x-6x+3y+4y

=2x+7y

Answer:

Quotient = 60

Remainder = 3

Full calculation: 783 = 13 × 60 + 3

Answer:

Step-by-step explanation:

Remainder = 3

Quotient = 60

Full calculation: 13 × 60 + 3=783

I don't know I really needed help on this one

If scores on an exam follow an approximately normal distribution with a mean of 76.4 and a standard deviation of 6.1 points, then the minimum score you would need to be in the top 2% is equal to 88.929.

A problem of this type in mathematics can be characterized as a normal distribution problem. We can use the z-score to solve it by using the formula;

Z = x - μ / σ

In this formula the standard score is represented by Z, the observed value is represented by x, the mean is represented by μ, and the standard deviation is represented by σ.

The p-value can be used to determine the z-score with the help of a standard table.

As we have to find the minimum score to be in the top 2%, p-value = 0.02

The z-score that is found to correspond with this p-value of 0.02 in the standard table is 2.054

Therefore,

2.054 = x - 76.4 ÷ 6.1

2.054 × 6.1 = x - 76.4

12.529 = x - 76.4

12.529 + 76.4 = x

x = 88.929

Hence 88.929 is calculated to be the lowest score required to be in the top 2%.

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Answer:

m=-1

Step-by-step explanation:

20m+5-2m=-13

18m=-18

m=-1

Answer:

[tex] \sf \: m=−1[/tex]

Step-by-step explanation:

5(4m+1)-2m=-13

Step 1: Simplify both sides of the equation.

5(4m+1)−2m=−13

(5)(4m)+(5)(1)+−2m=−13(Distribute)

20m+5+−2m=−13

(20m+−2m)+(5)=−13(Combine Like Terms)

18m+5=−13

18m+5=−13

Step 2: Subtract 5 from both sides.

18m+5−5=−13−5

18m=−18

Step 3: Divide both sides by 18.

18m/18 = −18/18

m=−1

The output values of  x = -2, 0, and 5 in the given function are -5, -7 and -12 respectively.

Given the data in the question;

When x = -2. replace all the occurrence of x with -2 in the function and simplify to determine the output value.

r(x) = -x - 7

r(-2) = -(-2) - 7

r(-2) = 2 - 7

r(-2) = -5

When x = 0. replace all the occurrence of x with 0 in the function and simplify to determine the output value.

r(x) = -x - 7

r(0) = -(0) - 7

r(0) = 0 - 7

r(0) = -7

When x = 5. replace all the occurrence of x with 5 in the function and simplify to determine the output value.

r(x) = -x - 7

r(5) = -(5) - 7

r(5) = -5 - 7

r(5) = -12

Therefore the output values of  x = -2, 0, and 5 in the given function are -5, -7 and -12 respectively.

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According to the given statement;

The statement is False. Data at the ordinal level can be qualitative or quantitative.

Ordinal data is a form of categorical statistical data where the distances between the categories are unknown and the variables have naturally occurring, ordered categories.

Ordinal is the second of four levels of measurement in a hierarchy that also includes nominal , ordinal , interval , and ratio. The degrees of measurement show how well the data were recorded.

In contrast to nominal and ordinal variables, which are categorical, interval and ratio variables are quantitative.

According to the given data,

The statement is False.

Data at the ordinal level can be qualitative or quantitative.

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the linear equation such that it is parallel to the line:

y = -2x + 5

And that it passes through the point (-2, -4) is y = -2*x - 8

Here we want to find a linear equation such that it is parallel to the line:

y = -2x + 5

And that it passes through the point (-2, -4)

Remember that two lines are parallel if and only if the lines have the same slope and different y-intercept.

Then our line is something like:

y = -2*x + b

To find the value of b, we replace the values of the given point:

-4 = -2*-2 + b

-4 = 4 + b

-4 - 4 = b = -8

We conclude that the linear equation is y = -2*x - 8

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When the garden is recording the heights of its available trees. the display that can be used to represent the data by a Bar chart, because tree height is numerical. The correct option is A.

A bar chart or bar graph uses rectangular bars with heights or lengths proportional to the values they represent to show categorical data. A bar plot could be either vertical or horizontal. A vertical bar graph is sometimes known as a column chart.

A bar chart is used to show the distribution of data points or to compare metrics across different subgroups of your data. We may see how different groups compare to one another and which groupings are most common or prevalent using a bar graph.

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Answer:

Step-by-step explanation:

i think its A., bart chart

Answer:

Step-by-step explanation:

If a polygon does not have 5 sides, then it is not a pentagon.: TRUE

Answer:

dat it

116cm times 7=812

128cm times 8=1024

1024-812=212cm

We will know 8 complete names after 2 days and 20 complete names after 8 days. Whether or not this function represents your learning rate will vary from person to person.

Here, we are given an exponential function: f(t)= c{1- e^(-kt)}

where

f(t) = number of tasks learned.

c = total number of tasks to be learned

k = rate of learning

t = time

Now, when we move to a new school, number of names we need to learn ⇒ c = 25

learning rate for new tasks = 20%

⇒ k = 0.2

and time = 2 days

⇒ t = 2

Substituting these values in the function we get-

f(2) = 25{1- [tex]e^{-0.2 * 2}[/tex]}

= 25{1- [tex]e^{-0.4}[/tex]} [tex]e^{-0.4}[/tex]

= 0.67

Thus, f(2) = 25( 1-0.67 )

f(2) = 25(0.33)

f(2) = 8.25

Thus, we will be able to learn 8 complete names in 2 days.

If t = 8f(8) = 25{1- [tex]e^{-0.2*8}[/tex]}

= 25{1- [tex]e^{-1.6}[/tex]}

= 25(1- 0.20)

= 25(0.80)

= 20

Thus, we will be able to learn 20 complete names in 8 days. Whether of not this function describes your own learning rate will vary from person to person. Some people are fast learners whereas others take their time. A fast learner will have a higher learning rate whereas a slow learner will have a lower learning rate as depicted by k. You can change the value of k to adjust the function as per your learning abilities.

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Your question was incomplete, check for full content below-

Psychologists use an exponential model of the learning process, f(t)= c(1-e -kt) , where c is the total number of tasks to be learned, k is the rate of learning, t is time, and f(t) is the number of tasks learned.

a. Suppose you move to a new school, and you want to learn the names of 25 classmates in your homeroom. If your learning rate for new tasks is 20 % per day, how many complete names will you know after 2 days?

b. After 8 days?

c. Does this function seem to describe your own learning rate? If not, how could you adapt it to reflect your learning rate?

Answer:

1. -1    2. -22 i think may be wrong   3. -20

Step-by-step explanation:

good ol integers payin off

Answer:

-3

Step-by-step explanation:

p(0) = (0^2) + 5(0) - 3

p(0) = 0 + 0 - 3

p(0) = -3

Answer: 1.3

Step-by-step explanation:

Answer:

1.3

Step-by-step explanation:

9 is the hundredth and we round up with 8 so we’d round up 1 and we get 1.3

The area of the square is found as -8 unit².

Distance between two coordinates (x₁, y₁) and (x₂, y₂)  are-

d = √[(x₁ - x₂)² + (y₁ - y₂)²]

Consider two given coordinates;

(x₁, y₁) = H(1,-3) and

(x₂, y₂) = G(3,-1)

Put the values in the given distance formula;

d = √[(1 - 3)² + (-3 + 1)²]

d = √[(-2)² + (-2)²]

On solving,

d = 2√2 unit

Thus, one side of the square is found as 2√2 unit.

The area of the square is given as;

Area = side²

Area = (2√2)²

Area = 8 unit²

Therefore, the area of the square given by the coordinates if found to be 8 unit².

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The complete question is-

The coordinates of square are given, find the area of the square-

H(1,-3)

G(3,-1)

F(5,-3)

E(3,-5)

Estimation of  [tex]\sqrt{18}[/tex] to nearest integer is 4.

Integer For every two same numbers multiplied inside the square root, one number can be taken out of the square root.

For every three same numbers multiplied inside the cube root, one number can be taken out of the cube root. The same procedure can be followed for fourth root and more.

Perfect squares are numbers that are the products of integers by themselves. In other words, when an integer is multiplied by itself, the resulting product is termed as a perfect square of the given number. For example, 36 is a perfect square because it is the product of 6 by itself.

[tex]\sqrt{18}[/tex] is not a perfect square.

nearest to 18 , 16 and 25 are the perfect squares

So, [tex]\sqrt{18}[/tex] lies in  between [tex]\sqrt{16}[/tex] and [tex]\sqrt{25}[/tex] .

[tex]\sqrt{18}[/tex] lies in  between 4 and 5.

Nearest integer is 4.

So , estimation of  [tex]\sqrt{18}[/tex] to nearest integer is 4.

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The measure of all the angles are :

∠1 = 119°, ∠2 = 61°,  ∠3 = 61° , ∠4 = 119° , ∠5 = 119° , ∠6 = 61° and ∠7 = 61°

According to the question we have been given two parallel lines which is cut by a transversal line. There total 8 angles and given is the measure of

∠8 = 119°.

We need to find the measure of all other 7 angles.

Note that when two parallel lines are cut by a transversal then

i) corresponding angles are equal that is

                 ∠1 = ∠5, ∠2 = ∠6, ∠3 = ∠7, and ∠4 = ∠8

ii) alternate interior angles are equal that is

                  ∠3 = ∠6, and ∠4 = ∠5

iii) alternate exterior angles are equal that is

                  ∠1 = ∠8, and ∠2 = ∠7

iv) Consecutive interior angle sum is 180°

           ∠4 + ∠6 = 180°, and ∠3 + ∠5 = 180°.

So according to the rules given above the measure of all the angles are:

 ∠1 = 119°, ∠2 = 61°,  ∠3 = 61° , ∠4 = 119° , ∠5 = 119° , ∠6 = 61° and ∠7 = 61°

Hence measure of all the angles is given above

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Answer: 10,000 less of 84.562 = −

9915.438 | 10000 more of 84.562 = 10084.562

Step-by-step explanation:

10000 less:

Just subtract 10000 from 84.562.

10000 More:

Just add 10000 to 84.562

Answer:

A) No solution

B) No solution

Step-by-step explanation:

[tex]A)[/tex]  [tex]\mathrm {If}\:|u|\: < \:a,\:a > 0\:\mathrm{then}\:-a\: < \:u\: < \:a[/tex] (Which in this case leads to no solution because c cannot be less than 0 logically)

[tex]B)[/tex]  [tex]\mathrm {If}\:|u|\: < \:a,\:a > 0\:\mathrm{then}\:-a\: < \:u\: < \:a[/tex] (Whether you change the </> sign or not, c cannot be any less than 0 or it will lead to no solution.)

Answer:

All real numbers im pretty sure

Step-by-step explanation:

Using addition, Total length of wire used by the electrician is 76 feet.

Through addition, items are combined and counted as a single large group. The process of adding two or more numbers together is known as addition in mathematics. The terms addends and total both refer to the numbers that are added and the result of the operation.

One of the four fundamental operations of mathematics is addition, which is typically denoted by the plus sign (+). The other three are subtraction, multiplication, and division. The entire amount or sum of the two whole numbers is obtained by adding them.

We will use simple addition here,

Total length used by electrician is

(9 + 13 + 42 + 12) feet.

= 76 feet

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Answer:

either the top right or bottom left

Step-by-step explanation:

Hey there!

In order to find out which graph the equation is representing, we must first know what each part is and means

-3x: This is the slope of the line, meaning how much it moves by

Slope is always rise over run: -3/1

This means, it moves down 3 and to the right 1

2: This is the y-intercept of the line

The y-intercept of the line shows where the line intersects the y-axis

In this case, it is 2

With this information, we can tell that it is either the top right or bottom left

(*The image is a little blurry and unclear. All I know is that it is either top right or bottom left*)

~Sorry for the inconvenience~

The equation for the parabola with the vertex (1, 2) and passes through the point (3, 14) is y - 2 = 3 · (x - 1)².

Mathematically speaking, parabolas are represented by second order polynomials, whose vertex form is shown below:

y - k = C · (x - h)²

Where:

If we know that (h, k) = (1, 2) and (x, y) = (3, 14), then the vertex constant is:

14 - 2 = C · (3 - 1)²

12 = C · 2²

12 = 4 · C

C = 3

Then, the equation for the parabola is y - 2 = 3 · (x - 1)².

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Answer:

n=30

Step-by-step explanation:

n+30+2n-10+70=180

We move all terms to the left:

n+30+2n-10+70-(180)=0

We add all the numbers together, and all the variables

3n-90=0

We move all terms containing n to the left, all other terms to the right

3n=90

n=90/3

n=30