help me please i will heart the first correct comment​

y≤−5x−10 and y>x+2 The shaded region satisfies both inequalities and represents the solution to the system of linear inequalities.

To graphically solve this system of linear inequalities, we can start by graphing each inequality on the same coordinate system:

First, let's graph the inequality y ≤ -5x - 10. We can start by graphing the line y = -5x - 10, which is the boundary line of the inequality. We can plot two points on this line, say (-2,0) and (0,-10), and draw a straight line passing through them.

Next, we need to determine which side of the line satisfies the inequality y ≤ -5x - 10. We can choose any point on one side of the line, say (0,0), and test it in the inequality. If y ≤ -5x - 10 is true for (0,0), then that side of the line satisfies the inequality. Otherwise, the other side satisfies the inequality. Testing (0,0), we have:

0 ≤ -5(0) - 10

0 ≤ -10

This is false, so the side of the line containing the origin does not satisfy the inequality. The other side of the line does.

Now, let's graph the inequality y > x + 2. We can start by graphing the line y = x + 2, which is the boundary line of the inequality. We can plot two points on this line, say (-2,0) and (0,2), and draw a straight line passing through them.

Next, we need to determine which side of the line satisfies the inequality y > x + 2. We can choose any point on one side of the line, say (0,0), and test it in the inequality. If y > x + 2 is true for (0,0), then that side of the line satisfies the inequality. Otherwise, the other side satisfies the inequality. Testing (0,0), we have:

0 > 0 + 2

This is false, so the side of the line containing the origin does not satisfy the inequality. The other side of the line does.

Now, we can shade the region that satisfies both inequalities. The shaded region is the region that is below the line y = -5x - 10 (including the line itself) and above the line y = x + 2 (excluding the line itself).

The shaded region is shown below:

Graph of y≤−5x−10 and y>x+2

The shaded region satisfies both inequalities and represents the solution to the system of linear inequalities.

for such more question on linear inequalities.

https://brainly.com/question/5370236

#SPJ11

Answer:

associative property of addition !!

Step-by-step explanation:

this is because you are ASSOCIATING the two numbers together

think of it like this

in a trio friendship there could be two friends that are closer

the 8 and the 10 in the second half of the equation are closer

BUT in the first half the 3 and the 8 are closer too

hope that made sense lol

option D

Given;

larger cube edge length  -  3x+2 units

smaller cube edge length -  2x-1 units

We know that  volume of a cube  = (Edge of the cube)3

volume of larger cube = (3x+2 )³

                                     =27x³+8 +54x²+36x

volume of smaller cube=(2x-1)³

                                        =8x³-1 -12x²+6x

Volume difference = volume of larger cube -volume of smaller cube

volume difference =( 27x³+8+54x²+36x)-(8x³- 1 - 12x²+6x)

                                = 19x³+9+66x²+30x

                                 =19x³+66x²+30x+9

Hence volume of larger cube is greater by (19x³+66x²+30x+9)

To see similar problem on Mensuration click the link given below

brainly.com/question/23409099?

#SPJ1

Answer:

22

Step-by-step explanation:

3.85+2.75= 6.6

6.6÷0.30= 22

Answer:

The answer is 22 loaves of bread.

Step-by-step explanation:

You add 3.85 pounds + 2.75 pounds to get the total number of pounds she bought, which is 6.6 pounds of bananas.

Then you divide your total answer of 6.6 pounds by 0.30 pounds for each loaf, to get 22 loaves of bread.

Angle WZY is 50 degrees, angle WZX is also 50 degrees, and angle XZW is 160 degrees.

What is the inscribed angle theorem?

The inscribed angle theorem, also known as the central angle theorem, states that an angle formed by two chords in a circle is half the measure of the arc they intersect, or subtend, inside the circle.

To find all other angles in the circle with quadrilateral WXYZ inscribed in it and WY going through the center Q:

Since WY goes through the center, angle WYZ and angle WXY are both right angles (90 degrees)

By the inscribed angle theorem, angle WZY is equal to half the measure of the arc WX.

Since angle XYZ is given as 50 degrees, the measure of the arc WX is 2 times 50 degrees, which is 100 degrees.

Therefore, angle WZY is 50 degrees.

By the same logic, angle WZX is also 50 degrees.

Since angles WYZ and WXY are right angles, angles XZY and WZX are also right angles.

Finally, we can find angle WZY + angle XYZ + angle XZW + angle WZX = 360 degrees (sum of angles in a quadrilateral), and we can solve for angle XZW which is 160 degrees.

To know more about the inscribed angle theorem visit:

brainly.com/question/16120801

#SPJ1

Answer: Sorry!

Step-by-step explanation:

Hello! I can help you if you can add the photo and fix the typos.  

Answer:

Step-by-step explanation:

For all Plato users.

We have to find the sum of the series has been given as.

\(\sum_{k=1}^{8}5(\frac{4}{3} )^{k-1}\) -----(1)

If the series has been given as,

\(\sum_{n=1}^{k}a(r)^{n-1}\) -------(2)

It's a geometric series with first term 'a' and common ratio 'r'.

Comparing both the expressions (1) and (2),

\(a=\) 5

\(r=\frac{4}{3}\)

Number of terms 'n' = 8

Sum of the k terms of this series is given by,

Sum = \(\frac{a(r^k-1)}{r-1}\)

       = \(\frac{5[(\frac{4}{3})^8-1)]}{\frac{4}{3}-1 }\)

       = \(\frac{5(9.98872-1)}{\frac{1}{3}}\)

       = \(\frac{44.9436}{\frac{1}{3} }\)

      = 134.83

Therefore, Option (B) is the correct option.

Learn more,

https://brainly.com/question/21087466

Answer:

11/8

Step-by-step explanation:

The following weights (in pounds) are within 1.5 units of the standard deviation of the mean:

A. 4.4

B. 4.6

D. 5.2

E. 6.9

F. 7.6

The mean weight of the chickens in this population is 6.3 pounds, and the standard deviation is 1.2 pounds. To be within 1.5 units of the standard deviation, we need to look at the range of weights that are 1.2 +/- 1.5, which is 4.7 to 7.9 pounds.

This means that the weights within this range are 4.4, 4.6, 5.2, 6.9, 7.6, and any other weights that fall within the range. Therefore, the weights within 1.5 units of the standard deviation of the mean are:

A. 4.4, B. 4.6, D. 5.2, E. 6.9, and F. 7.6.

The standard deviation measures the spread of the data from the mean. In this case, the mean is 6.3 pounds and the standard deviation is 1.2 pounds. This means that the data points on either side of the mean will be 1.2 pounds away from it.

To learn more about standard deviation of the mean, use the link:

brainly.com/question/16030790

#SPJ4

Answer:980,507

Step-by-step explanation:

Answer:

980,507

Step-by-step explanation:

hope this helps :)

Part 1: Marlene's pay for health insurance = $480

Part 2: Marlene's pay for life insurance = $180

Part 3: Marlene's contribution to here 401(k) plan = $4320

Part 4: Marlene's projected take home for the year = $34,020

Part 5: Marlene's take home for each of her twice-monthly paychecks = $1417.5

Marlene's expected gross income = $54000

Her employer covers 90% of the cost of a $4800-per-year health insurance plan

Since her employer covers 90% of the cost, Marlene will pay 10% of the cost

Marlene's pay for health insurance = 10% of $4800

Marlene's pay for health insurance = (10/100) x $4800

Marlene's pay for health insurance = $480

Her employer pays 80% of the cost of a $900-per-year life insurance plan.

Marlene will pay 20% of the cost of a $900-per-year life insurance plan.

Marlene's pay for life insurance = (20/100) x $900

Marlene's pay for life insurance = $180

Marlene also expects to contribute 8% of her gross income this year to her 401(k) plan

Marlene's contribution to here 401(k) plan = (8/100) x $54000

Marlene's contribution to here 401(k) plan = $4320

Marlene's projected take home for the year = (Marlene's expected gross income) - (Deductions) - (Health insurance pay) - (Life insurance pay) - ( 401(k) plan)

Marlene's projected take home for the year = $54000 - $15000 - $480 - $180 - $4320

Marlene's projected take home for the year = $34,020

She will receive her twice-monthly paychecks 24 times in a year

Marlene's take home for each of her twice-monthly paychecks = $34020/24

Marlene's take home for each of her twice-monthly paychecks = $1417.5

The solution is Option A.

The coordinate of the triangle after the translation is given by A' ( 0 , -3 ) with 4 units right and 4 units down

A translation moves a shape up, down, or from side to side, but it has no effect on its appearance. A transformation is an example of translation. A transformation is a method of changing a shape's size or position. Every point in the shape is translated in the same direction by the same amount.

Given data ,

Let the coordinate of the triangle be represented as A

Now , the coordinate A = A ( -4 , 1 )

Now , the coordinate of the triangle after translation is A' ( 0 , -3 )

when there is a translation of the coordinate A by 4 units to the right , we get

A to 4 units right = A ( -4 + 4 , 1 )

The new coordinate of A = A ( 0 ,  1 )

Now , A to 4 units down , we get

The coordinate of A' = A' ( 0 , 1 - 4 )

The coordinate of A' = A' ( 0 , -3 )

Hence , the translated coordinate is A' ( 0 , -3 )

To learn more about translation click :

https://brainly.com/question/19007400

#SPJ1

In case whereby Jake rides his bicycle 6 miles in 3/5 of an hour. At this rate, the number of miles could he ride in 3 hours is 30 miles

The distance = bicycle 6 miles

number of hours =3/5 of an hour

then the rate = 6/ (3/5)

Then we can calculate the number of miles with the 6milesi n 3/5 hours  as;

= (6 * 5/3 )

=30/3

=10

Then the rate will be 10 miles in 1 hour , hence the number of miles he will ride in 3hrs

=10 * 3 hours

= 30 miles

Learn more about miles at:

https://brainly.com/question/29806974

#SPJ1

Answer:

50!

Good luck!

Answer:

I don't know figure it out XD

Step-by-step explanation:

Answer:

Step-by-step explanation:

First you should figure out factors of 24 so there is an even number of hours per shift, and so the hours per shift are whole numbers.

Factors of 24 are: 1,2,3,4,6,8,12,24

You can use these numbers. I hope this helps you

Part A: To find the x-intercepts of the graph of f(x), we set f(x) equal to zero and solve for x:

2x² - x - 10 = 0

This equation can be factored as:

(2x + 5)(x - 2) = 0

Setting each factor equal to zero, we get:

2x + 5 = 0 => 2x = -5 => x = -5/2

x - 2 = 0 => x = 2

Therefore, the x-intercepts of the graph of f(x) are x = -5/2 and x = 2.

Part B: The vertex of the graph of f(x) can be determined using the formula x = -b/2a, where a and b are the coefficients of the quadratic equation in standard form (ax² + bx + c = 0).

In this case, a = 2 and b = -1. Plugging these values into the formula, we have:

x = -(-1) / (2 * 2) = 1/4

To determine if the vertex is a maximum or a minimum, we can examine the coefficient of the x² term. Since the coefficient a is positive (a = 2), the parabola opens upwards, and the vertex represents a minimum point

Therefore, the vertex of the graph of f(x) is (1/4, f(1/4)), where f(1/4) can be obtained by substituting x = 1/4 into the equation f(x).

Part C: To graph f(x), we can follow these steps:

Plot the x-intercepts: Plot the points (-5/2, 0) and (2, 0) on the x-axis.

Plot the vertex: Plot the point (1/4, f(1/4)) as the vertex, where f(1/4) can be obtained by substituting x = 1/4 into the equation f(x).

Determine the direction of the graph: Since the coefficient of the x² term is positive, the graph opens upwards from the vertex.

Determine additional points: Choose a few x-values on either side of the vertex and calculate their corresponding y-values by substituting them into the equation f(x). Plot these points on the graph.

Draw the graph: Connect the plotted points smoothly, following the shape of the parabola. Ensure the graph is symmetrical with respect to the vertex.

The answers obtained in Part A (x-intercepts) and Part B (vertex) provide crucial points to plot on the graph, helping us determine the shape and position of the parabola.

For more question Graph

https://brainly.com/question/26858589

#SPJ8

The x-intercepts from the graph attached are

The vertex  from the graph attached is

Part A: To find the x-intercepts of the graph of f(x), we set f(x) equal to zero and solve for x:

2x² - x - 10 = 0

x = (-b ± √(b² - 4ac)) / (2a)

a = 2, b = -1, c = -10

Plugging these values into the quadratic formula:

x = (-(-1) ± √((-1)² - 4 * 2 * (-10))) / (2 * 2)

x = (1 ± √(1 + 80)) / 4

x = (1 ± √81) / 4

x = (1 ± 9) / 4

x₁ = (1 + 9) / 4 = 10 / 4 = 2.5

x₂ = (1 - 9) / 4 = -8 / 4 = -2

Therefore, the x-intercepts of the graph of f(x) are 2.5 and -2.

Part B

To find the coordinates of the vertex, we can use the formula:

x = -b / (2a)

x = -(-1) / (2 * 2) = 1 / 4 = 0.25

we substitute this value back into the original function:

f(0.25) = 2(0.25)² - 0.25 - 10

f(0.25) = 0.125 - 0.25 - 10

f(0.25) = -10.125

Therefore, the vertex of the graph of f(x) is located at (0.25, -9.125).

Part C: The steps to graph f(x) include:

Plotting the x-intercepts: Based on the results from Part A, we know that the x-intercepts are 2.5 and -2. We mark these points on the x-axis.

Plotting the vertex: Using the coordinates from Part B, we plot the vertex at (0.25, -9.125). This represents the minimum point of the graph.

Drawing the shape of the graph: Since the coefficient of the x² term is positive, the graph opens upward. From the vertex, the graph will curve upward on both sides.

Additional points and smooth curve: To further sketch the graph, we can choose additional x-values and calculate their corresponding y-values using the equation f(x) = 2x² - x - 10. Plotting these points and connecting them smoothly will give us the shape of the graph.

By using the x-intercepts and vertex obtained in Part A and Part B, we have the necessary information to draw the graph accurately and show the key features of the quadratic function f(x)

Learn more about quadratic function  at

https://brainly.com/question/1214333

#SPJ1

The relation that can not be supported by the evidence in the image is option B

Corresponding angles are those that are located on the same side of the transversal and in identical relative positions to the parallel lines. Angles that correspond to one another have the same measure.

Alternate interior angles are those that are located on the transverse and within the area between the parallel lines, respectively. Congruent alternate interior angles exist.

Alternate external angles are those that are outside of the space between the parallel lines and on the opposing sides of the transversal. Congruent external angles exist between the two.

Learn more about transversal:https://brainly.com/question/17987539

#SPJ1

The surface area of a rectangular prism is 48 5/6 mi².

In Mathematics and Geometry, the surface area of a rectangular prism can be calculated and determined by using this mathematical equation or formula:

Surface area of a rectangular prism = 2(LH + LW + WH)

Where:

By substituting the given side lengths into the formula for the surface area of a rectangular prism, we have the following;

Surface area of rectangular prism = 2[6 × 2 1/3 + (1 1/4 × 6) + (1 1/4 × 2 1 /3)]

Surface area of rectangular prism = 2[14 + 15/2 + 35/12]

Surface area of rectangular prism = 48 5/6 mi².

Read more on surface area of a rectangular prism here: brainly.com/question/28185251

#SPJ1

Answer:

inflationary expenditure gap of $500

Step-by-step explanation:

At AE2 there is an inflationary expenditure gap of $500 (assuming full-employment output is $2000). The fiscal authority could increase taxes or decrease expenditures, which will shift the aggregate expenditures schedule down to AE0.

Hope this helps please mark as brainlist

You can use the formula y=mx+b, where m is the slope.

Your gradient is -3/2.

A mathematical statement that has a "equal to" symbol between two expressions with equal values is called an equation.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

We have LHS = RHS (left hand side = right hand side) in every mathematical equation.

To determine the value of an unknown variable that represents an unknown quantity, equations can be solved.

A statement is not an equation if it has no "equal to" sign.

According to our question-

y=-3/2x+1

Your slope in the second equation is -3/2 since y=-3/2x+5 is already in the form y=mx+b and m is the slope.

learn more about equations click here:

brainly.com/question/2972832

#SPJ1

Answer:

8????? I dont really know.....

ok but what's the question? u gave us info but what's the question

The surface area for each of the cylinders is given as follows:

13. 126 yd².

14. 490 m².

15. 283 mm².

16. 297 cm².

The surface area of a cylinder of radius r and height h is given by the equation presented as follows, which combines the base area with the lateral area:

S = 2πrh + 2πr²

S = 2πr(h + r)

Item 13:

r = 2 yd and h = 8 yd, hence the surface area is given as follows:

S = 2π x 2(2 + 8)

S = 126 yd².

Item 14:

r = 6 m and h = 7 m, hence the surface area is given as follows:

S = 2π x 6(6 + 7)

S = 490 m².

Item 15:

r = 3 mm and h = 12 mm, hence the surface area is given as follows:

S = 2π x 3(3 + 12)

S = 283 mm².

Item 16:

r = 3.5 mm and h = 10 mm, hence the surface area is given as follows:

S = 2π x 3.5(3.5 + 10)

S = 297 cm².

More can be learned about cylinder at brainly.com/question/9554871

#SPJ1

Answer:

It could be +₹250​ if positive or -₹250 ​if negative

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

None of these answer choices you have are correct. you have to do parentheses first, which gives you 9 + (3)2/3, then you do division which gives you .6666666666, then you multiply that by 3 and you get 2 and add that to 9

Recall the half-angle identity,

cos²(x/2) = (1 + cos(x))/2

This means

\(\cos^2\left(\dfrac12 \arccos\left(-\dfrac{12}{13}\right)\right) = \dfrac{1 + \cos\left(\arccos\left(-\frac{12}{13}\right)\right)}2 = \dfrac{1 - \frac{12}{13}}2 = \boxed{\frac1{26}}\)

Answer:

The motor oil retailer needs 15 gallons of oil, so he will have to use both tanks, and still have 1 gallon of oil short.

Step-by-step explanation:

Since a motor oil retailer needs to fill 60 one quart bottles, and he has two tanks: one that contains 12 gallons of oil and one that contains 2 gallons of oil, to determine which will need to fill the bottles, the following calculation must be performed:

Quart to gallon = 4: 1

1/4 x 60 = X

60/4 = X

15 = X

Therefore, the motor oil retailer needs 15 gallons of oil, so he will have to use both tanks, and still have 1 gallon of oil short.

1. In this case, we want the reliability to be 95%, so the probability of not breaking down is 0.95.

2. Probability of no breakdowns = (reliability of a single machine)^3. Probability of at least one breakdown = 1 - Probability of no breakdowns

1. To determine how often the computer should be scheduled for maintenance, we need to consider the reliability and the desired level of operational condition. Since the duration for trouble-free operation follows a gamma distribution with a mean of 40 days, this means that, on average, the computer can operate for 40 days before a breakdown occurs.

To ensure operational condition with a 95% probability, we can calculate the maintenance interval using the concept of reliability. The reliability represents the probability that the machine will not break down within a certain time period. In this case, we want the reliability to be 95%, so the probability of not breaking down is 0.95.

Using the gamma distribution parameters, we can find the corresponding reliability for a specific time duration. By setting the reliability equation equal to 0.95 and solving for time, we can find the maintenance interval:

reliability = 0.95

time = maintenance interval

Using reliability and the gamma distribution parameters, we can calculate the maintenance interval.

2. To calculate the probability that at least one of the three machines will break down within the first scheduled maintenance time, we can use the complementary probability approach.

The probability that none of the machines will break down within the first scheduled maintenance time is given by the reliability of a single machine raised to the power of the number of machines:

Probability of no breakdowns = (reliability of a single machine)^3

Since the breakdown times between the machines are statistically independent, we can assume that the reliability of each machine is the same. Therefore, we can use the reliability calculated in the first part and substitute it into the formula:

Probability of at least one breakdown = 1 - Probability of no breakdowns

By calculating this expression, we can determine the probability that at least one of the three machines will break down within the first scheduled maintenance time.

For more such questions on Probability

https://brainly.com/question/23286309

#SPJ8

Let \(f(x) = x^3 - 2x - 2\). Then differentiating, we get

\(f'(x) = 3x^2 - 2\)

We approximate \(f(x)\) at \(x_1=2\) with the tangent line,

\(f(x) \approx f(x_1) + f'(x_1) (x - x_1) = 10x - 18\)

The \(x\)-intercept for this approximation will be our next approximation for the root,

\(10x - 18 = 0 \implies x_2 = \dfrac95\)

Repeat this process. Approximate \(f(x)\) at \(x_2 = \frac95\).

\(f(x) \approx f(x_2) + f'(x_2) (x-x_2) = \dfrac{193}{25}x - \dfrac{1708}{125}\)

Then

\(\dfrac{193}{25}x - \dfrac{1708}{125} = 0 \implies x_3 = \dfrac{1708}{965}\)

Once more. Approximate \(f(x)\) at \(x_3\).

\(f(x) \approx f(x_3) + f'(x_3) (x - x_3) = \dfrac{6,889,342}{931,225}x - \dfrac{11,762,638,074}{898,632,125}\)

Then

\(\dfrac{6,889,342}{931,225}x - \dfrac{11,762,638,074}{898,632,125} = 0 \\\\ \implies x_4 = \dfrac{5,881,319,037}{3,324,107,515} \approx 1.769292663 \approx \boxed{1.769293}\)

Compare this to the actual root of \(f(x)\), which is approximately 1.769292354, matching up to the first 5 digits after the decimal place.