I need help with this problem can someone help me solve this.

Answer:

9

Step-by-step explanation:

3x^2 + 3x - 9

Substitute x = 2 into the equation.

3(2)^2 + 3(2) - 9

3(4) + 6 - 9

12 + 6 - 9

18 - 9 =

9

The required values:

(a). The weights of the 15 students are;

72, 74, 81, 81, 82, 85, 87, 88, 92, 94, 97, 98, 103, 123, 125.

(b). The weight of the lightest student in the class is 72 pounds.

(c). The weight of the heaviest student in the class is 125 pounds.

(d). The plot of the histogram is given in the attached image.

The frequency distribution of a few data points for one variable is shown graphically by a histogram. Data is frequently divided into different "bins" or "range groups" via histograms, and the number of data points in each bin is counted.

The stem and leaf plot gives the weights in pounds of all 15 students in the Algebra 1 class at East Junior High.

(a). The weights of the 15 students are;

72, 74, 81, 81, 82, 85, 87, 88, 92, 94, 97, 98, 103, 123, 125.

(b). The weight of the lightest student in the class is 72 pounds.

(c). The weight of the heaviest student in the class is 125 pounds.

(d). The plot of the histogram is given in the attached image.

Hence, all the required values are given above.

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Answer:

Step-by-step explanation:

To calculate the probability of winning any amount of money, we need to sum up the probabilities of winning each individual prize.

Given the probabilities stated on the game card:

Probability of winning $10 prize = 0.2

Probability of winning $5 prize = 0.1

Probability of winning $0 prize = 0.7

To find the probability of winning any amount of money, we add these probabilities together:

0.2 + 0.1 + 0.7 = 1

The sum of the probabilities is 1, which indicates that the total probability of winning any amount of money is 1 or 100%.

Therefore, the probability of winning any amount of money in this game is 100%.

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Answer:

a) Her rate is 1 mile per hour  for Monday’s run

b) 0.447 m/second

c) In fraction  20467m/180000 seconds

Step-by-step explanation:

Speed = distance / time = 1 mile/ 1 hour  

           = 1 mile per hour

Her rate is 1 mile per hour  for Monday’s run

part A. According to the question, the unit rate is to be expressed in miles per hour units.

Part B.

Speed = distance / time = 1 mile/ 1 hour  

           = 1 mile per hour

But 1 mile = 1609.34 m

and 1 hour = 3600 seconds

There fore  

1 mile/ 1 hour  = 1*1609.34/ 1*3600 seconds

                    = 0.447 m/second

Part C.

1 mile/ 1 hour  =1609.34/ 3600 seconds

                     = 1609.34 * 100/100 * 1/3600  ( multiplying and dividing by 100 to remove the decimal)

                     = 160934/360000

                      = 20467m/180000 seconds

The first five multiples of 1 are 2,3,4,5,6,7,8, 9......

The LCM of 1 and 1 is 1

Answer:

It is not a function

Step-by-step explanation:

A function is a rule from x to y that applies to all elements of x. Every element of x should have one image only.

Here, element "1" has two images 3 and 7. Therefore it's not a function.

A cruise ship travelled 84 km in 3.5 h. 3.5 h 43.75h It will take 43.75h to travel 1050 km.

The vertex form of the quadratic equations in standard form are, respectively:

Case 9: y = 2 · (x + 2)² - 12

Case 10: y = - (1 / 2) · (x + 3 / 4)² + 33 / 32

Case 11: y = 3 · (x - 4 / 3)² - 16 / 3

Case 12: y = - 3 · (x - 3)²

Case 13: y = (x - 4)² + 3

Case 14: y = (x - 1)² - 7

Case 15: y = (x + 3 / 2)² - 9 / 4

Case 16: 2 · (x + 1 / 4)² - 1 / 8

Case 17: y = 2 · (x - 3)² - 7

Case 18: y = - 2 · (x + 1)² + 10

In this problem we find ten cases of quadratic equation in standard form, whose vertex form can be found by a combination of algebra properties known as completing the square. Completing the square consists in simplifying a part of the quadratic equation into a power of a binomial.

The two forms are introduced below:

Standard form

y = a · x² + b · x + c

Where a, b, c are real coefficients.

Vertex form

y - k = C · (x - h)²

Where:

Now we proceed to determine the vertex form of each quadratic equation:

Case 9

y = 2 · x² + 4 · x - 4

y = 2 · (x² + 2 · x - 2)

y = 2 · (x² + 2 · x + 4) - 12

y = 2 · (x + 2)² - 12

Case 10

y = - (1 / 2) · x² - 3 · x + 3

y = - (1 / 2) · [x² + (3 / 2) · x - 3 / 2]

y = - (1 / 2) · [x² + (3 / 2) · x + 9 / 16] + (1 / 2) · (33 / 16)

y = - (1 / 2) · (x + 3 / 4)² + 33 / 32

Case 11

y = 3 · x² - 8 · x

y = 3 · [x² - (8 / 3) · x]

y = 3 · [x² - (8 / 3) · x + 16 / 9] - 3 · (16 / 9)

y = 3 · (x - 4 / 3)² - 16 / 3

Case 12

y = - 3 · x² + 18 · x - 27

y = - 3 · (x² - 6 · x + 9)

y = - 3 · (x - 3)²

Case 13

y = x² - 8 · x + 19

y = (x² - 8 · x + 16) + 3

y = (x - 4)² + 3

Case 14

y = x² - 2 · x - 6

y = (x² - 2 · x + 1) - 7

y = (x - 1)² - 7

Case 15

y = x² + 3 · x

y = (x² + 3 · x + 9 / 4) - 9 / 4

y = (x + 3 / 2)² - 9 / 4

Case 16

y = 2 · x² + x

y = 2 · [x² + (1 / 2) · x]

y = 2 · [x² + (1 / 2) · x + 1 / 16] - 2 · (1 / 16)

y = 2 · (x + 1 / 4)² - 1 / 8

Case 17

y = 2 · x² - 12 · x + 11

y = 2 · (x² - 6 · x + 9) - 2 · (7 / 2)

y = 2 · (x - 3)² - 7

Case 18

y = - 2 · x² - 4 · x + 8

y = - 2 · (x² + 2 · x - 4)

y = - 2 · (x² + 2 · x + 1) + 2 · 5

y = - 2 · (x + 1)² + 10

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Answer:

B, C, G

Step-by-step explanation:

If we look at the graph, it shows that if an employee works for 5 hours, then they will earn $36.25.

We can take 36.25 and divide that by 5 to get the hourly wage.

36.25 ÷ 5 = 7.25

We now know that employees get $7.25 every hour.

Using this we can look back to the graph.

'A' says that if an employee does not work, they will earn $7.25.

We know that this is wrong because if you do not work, then you do not earn money.

Let's look at 'B'.

If employees work for one hour, they will earn $7.25

We know this is correct because we now know the hourly wage.

Let's look at 'C'

If employees work for 4 hours, then they will get a revenue of $29.

We can figure this out by using this equation.

number of hours × hourly wage = total payment

4 × 7.25 = 29

Then this means that this is correct.

Let's look at 'D'

It says that if employees work for 10 hours, they will earn $73

Let's use that same equation again.

10 × 7.25 = 72.5

Employees earn $72.5 for working 10 hours, not $73.

So, this is obviously incorrect.

Let's look at 'E'

It says that if employees work for 3.5 hours, they will get a revenue of $21.75.

3.5 × 7.25 = 25.375

Therefore, this is incorrect.

Now let's take a look at 'F'.

It says that if employees work for 7.25 hours, then they earn $1.

This is incorrect.

And lastly, 'G'.

We know that if you do not work, then you do not earn money.

Therefore, A, B and G are the correct answers.

Answer:

angle 1 is 45 degrees

Step-by-step explanation:

all triangles are equal to 180 degrees

59+76 + x = 180

x =45

Answer:

\(\frac{1}{16}\)

Step-by-step explanation:

Given;

\(\frac{1}{4}\div \:4\)

Solve;

\(\mathrm{Convert\:element\:to\:fraction}:\quad \:4=\frac{4}{1}\)

\(=\frac{1}{4}\div \frac{4}{1}\)

\(\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}\)

\(\frac{1}{4}\times \frac{1}{4}\)

\(\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}\)

\(=\frac{1\times \:1}{4\times \:4}\)

\(\mathrm{Multiply\:the\:numbers:}\:1\times \:1=1\)

\(=\frac{1}{4\times \:4}\)

\(\mathrm{Multiply\:the\:numbers:}\:4\times \:4=16\)

\(=\frac{1}{16}\)

Number line given below:

~Learn with Lenvy~

The solution is : the value of y is 7.

Here, we have,

The perimeter of a rectangle is found by

P = 2 (l+w)

P = 2( 3y+3+2y)

Combine like terms

P = 2(5y+3)

We know the perimeter is 76

76 = 2(5y+3)

Divide each side by 2

76/2 = 2/2(5y+3)

38 = 5y+3

Subtract 3 from each side

38-3 = 5y+3-3

35 = 5y

Divide each side by 5

35/5 = 5y/5

7 =y

We want the length of AD = BC = 2y

AD = 2y=2*y = 14

Hence, The solution is : the value of y is 7.

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Answer:

if you divide -10 by -2/5 your answer is 25

Answer:

The equation of this line is y = -4.

Answer:

y=-4

Step-by-step explanation:

zero slope m=0

y-y1=m(x-x1)

y-(-4)=0(x-(-9))

y+4=0

y=-4

Answer:

great! what else?

Answer: y=3x-2

Step-by-step explanation:

3y-9x=-6

First you will need to add 9x to the other side so your equation will look like 3y=9x-6. Then you need to divide all the numbers by 3. So 3y divided by 3 and 9 divided by 3 and -6 divided by 3. Your final answer should be y=3x-2.

Answer:

This equation in slope intercept form would be y = 3x - 2

Step-by-step explanation:

The following is how to solve this equation:
3y - 9x = -6
+9x +9x
----------------------
3y = 9x - 6
divide each of the numbers by 3

So the answer is y = 3x - 2

Answer:

14

Step-by-step explanation:

The area of a parallelogram is

A = bh where b is the base and h is the height

140 = b*10

Divide each side by 10

140/10 = 10b/10

14 = b

The equation of the line containing the paints A and B is y = -1/3x + 4

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

The graph

Where, we have

(6, 2) and (0, 4)

A linear equation is represented as

y = mx + c

Where

c = y when x = 0

So, we have

y = mx + 4

Using the other points, we have

6m + 4 = 2

So, we have

6m = -2

Evaluate

m = -1/3

So, we have

y = -1/3x + 4

As an equation, we have

y = -1/3x + 4

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Answer:25$ per shirt

Answer:

The value is   \(Z_{\frac{\alpha }{2} } =  1.96\)

Step-by-step explanation:

From the question we are told the confidence level is  95% , hence the level of significance is    

      \(\alpha = (100 - 95 ) \%\)

=>   \(\alpha = 0.05\)

Generally from the normal distribution table the critical value  of  \(\frac{\alpha }{2}\) is  

   \(Z_{\frac{\alpha }{2} } =  1.96\)

3. Given, y = (1/2)x + 5

we need to find its parallel lines. For parallel lines, their slopes are equal If we compare the equation with y = mx + c where m indicates slope and c indicates intercept cut at y axis, then we see that slope of the parallel lines are 1/2. for the x intercept we can take any positive or negative number for example:

two more parallel lines are: y = (1/2)x + 4 & y = (1/2)x - 2

part(1) randomly input values in the equation for x. For example if we take x=2, y becomes, y = (1/2)*2 + 5 = 6. So the point becomes (2,6). In the same way take at least another value to get two point and draw the graph. Here it'd be better to take even numbers for x as in that way you avoid fractional values. Graphing fractional values can be a tedious job.

part(2): I think we covered this at the very beginning

part(3): Let's take the equations from 3.

y = (1/2)x + 4 & y = (1/2)x - 2

here we see that their slope is same when we compare them to y = mx+c

which is 1/2. Thus they are parallel lines

Answer:

Step-by-step explanation:

Therefore, the interest portion of the seventh payment is:7,000 x (1 + r + r2 + r3 + r4 + r5 + r6) / r7 - 7,000.

We have the following payments and their corresponding times of payment:At the end of year 1: $1,000At the end of year 2: $2,000At the end of year 3: $3,000At the end of year 4: $4,000At the end of year 5: $5,000At the end of year 6: $6,000At the end of year 7: $7,000

At the end of year 8: $8,000At the end of year 9: $9,000At the end of year 10: $10,000The present value of these payments is:PMT x [(1 - (1 + r)-n) / r]where PMT is the payment, r is the interest rate per year, and n is the number of years till payment.

For the first payment (end of year 1), the present value is:1,000 x [(1 - (1 + r)-1) / r]which equals

1,000 x (1 - 1 / (1 + r)) / r = 1,000 x ((1 + r - 1) / r) = 1,000

For the second payment (end of year 2), the present value is:2,000 x [(1 - (1 + r)-2) / r]which equals 2,000 x (1 - 1 / (1 + r)2) / r = 2,000 x ((1 + r - 1 / (1 + r)2) / r) = 2,000 x (1 + r) / r2

For the seventh payment (end of year 7), the present value is:

7,000 x [(1 - (1 + r)-7) / r]

which equals

7,000 x (1 - 1 / (1 + r)7) / r = 7,000 x ((1 + r - 1 / (1 + r)7) / r) = 7,000 x (1 + r + r2 + r3 + r4 + r5 + r6) / r7

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Answer:

D

Step-by-step explanation:

The domain, range, x-intercept, or y-intercept of g(x) = f(x + 4) + 8. The features of g depend on the corresponding features of f.

Given the function g(x) = f(x + 4) + 8, let's examine its features:

Domain:

The domain of the function g will be the same as the domain of the function f, which depends on the restrictions or constraints of f.  However, it is important to note that shifting the input by 4 units (x + 4) does not inherently change the domain unless there are specific restrictions imposed by f.

Range:

Similar to the domain, the range of the function g will depend on the range of the function f.

x-intercept:

The x-intercept of a function is the point where the graph intersects the x-axis, meaning the y-coordinate is zero (y = 0). To find the x-intercept of g(x), we set g(x) = 0 and solve for x.

0 = f(x + 4) + 8

By subtracting 8 from both sides:

-8 = f(x + 4)

Since the exact value of x that makes f(x + 4) equal to -8. The x-intercept will depend on the behavior of f.

y-intercept:

The y-intercept of a function is the point where the graph intersects the y-axis, meaning the x-coordinate is zero (x = 0). To find the y-intercept of g(x), we substitute x = 0 into the function:

g(0) = f(0 + 4) + 8

g(0) = f(4) + 8

Again, the specific value of f(4) will depend on the behavior of the function f.

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Answer:

= 2/3

Step-by-step explanation:

10 / (5*3)

= 10/15

= 2/3

Answer: \($m=-\frac{1}{22}$\)   \($b=\frac{15}{22}$\)

Step-by-step explanation:

To find the equation of the tangent line to the curve \($xy^3+xy= 14$\) at the point \($(7,1)$\) we need to first find the derivative of the equation with respect to x using implicit differentiation.

Taking the derivative of both sides with respect to x:

\($\frac{d}{dx}(xy^3+xy)=\frac{d}{dx}(14)$\)

Using the product rule and chain rule:

\($y^3+x(3y^2\frac{dy}{dx}+y)=0$\)

Simplifying and solving for \($\frac{dy}{dx}$\)

\($\frac{dy}{dx}=-\frac{y}{3y^2+1}$\)

Now we can substitute x=7 and y=1 into this equation to find the slope of the tangent line at the point (7,1):

\($m=\left.-\frac{y}{3y^2+1}\right|_{(7,1)}=-\frac{1}{22}$\)

So the slope of the tangent line is \($-\frac{1}{22}$\)

To find the y-intercept, we can use the point-slope form of the equation of a line:

\($y-1 = m(x-7)$\)

\($y=mx+(1-7m)$\)

Therefore, the equation of the tangent line to the curve \($xy^3+xy=14$\) at the point (7,1) can be written as:

\($y=-\frac{1}{22}x+\frac{15}{22}$\)

So \($m=-\frac{1}{22}$\) and \($b=\frac{15}{22}$\)

Answer:

This year there were 1250 - 450 = 800 more burgers sold.

800/450 * 100 is about 178%.

You need to deposit $20000 in the account each month.

Given that, future value = $30000, n = 17 years and r = 8%.

The future value simple interest formula is the addition of the principal amount that we have in the beginning and the interest earned on that principal amount after the completion of the period.

Future value = \(Annuity \times (\frac{(1+r)^n -1}{r} )\)

Now, future value = \(Annuity \times (\frac{(1+\frac{r}{m} )^{mt} -1}{r} )\)

⇒ 600,000 = \(Annuity \times (\frac{(1+\frac{0.04}{12} )^{12 \times 20} -1}{0.04} )\)

⇒ 600,000 = Annuity × \((\frac{(1.0033)^{240}-1}{0.04} )\)

⇒ 600,000 = Annuity × (2.20-1)/0.04

⇒ 600,000 = Annuity × 30

⇒ Annuity = 600,000/30

⇒ Annuity = $20000

Therefore, you need to deposit $20000 in the account each month.

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Answer:

Step-by-step explanation: evagline has 3/5 of box of nuts.she uses it to fill 6 bowls

The inequality expression that corresponds to the solution of the inequality graph is x² + 3x - 3 < 0.

option B.

The inequality expression that corresponds to the solution of the inequality graph is determined by simplifying the equations as follows;

The solution of the graph,

x > -4 and x < 1

The first equation with "≥" is ruled out because the graph doesn't have a thick dot.

Let's simplify the second expression;

x² + 3x - 3 < 0

solve using quadratic formula;

x > -3.79 or x < 0.79

The third expression is ruled out since its solution will be complex.

For the last expression;

x² + 3x - 3 > 0

x < -3.79 or x > 0.79

Thus, the correct inequality expression is x² + 3x - 3 < 0.

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Using proportions, the table is filled as follows:

A proportion is a fraction of a total amount, and the measures can be related using a rule of three, which derives from proportional relationships.

Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures, involving operations such as division and multiplication, as they involve unit rates.

The rates are given as follows:

Hence, for 9/10 = 0.9 hours, the price is given as follows:

3 x 0.1 + 2 x (0.8/0.1) = 16.3.

For 4 hours, the price is given as follows:

3 x 0.1 + 2 x (3.9/0.1) = 78.3.

For 3 and 9/10 hours = 3.9 hours, the price is given as follows:

3 x 0.1 + 2 x (3.8/0.1) = 76.3.

For 7 hours, the price is given as follows:

3 x 0.1 + 2 x (6.9/0.1) = 138.3.

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