On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, 3) and (3, 4). Everything above the line is shaded. The second dashed line has a positive slope and goes through (0, negative 2) and (1, 1). Everything to the right of the line is shaded.
Which system of linear inequalities is represented by the graph?

Answer:

¾

Explanation:

A number is said to be rational if it can be expressed in the form p/q, where q is not 0.

In the given options, only ¾ fulfills this criteria.

Answer:

it's answer is c.......

The equation of the tangent plane to the surface z = 1 + y at the point P(1, 3, 2) is z = y - 1 with coefficients accurate to at least 2 significant figures.

To find the tangent plane to the surface z = 1 + y at the point P(1, 3, 2), we need to calculate the partial derivatives with respect to x and y, and then use the equation of the plane.

Step 1: Find the partial derivatives.
∂z/∂x = 0 (since there's no x term in the equation)
∂z/∂y = 1 (the coefficient of y is 1)

Step 2: Use the point-slope form of the equation of the plane.
z - z0 = (∂z/∂x)(x - x0) + (∂z/∂y)(y - y0)

Step 3: Substitute the point P(1, 3, 2) and the partial derivatives into the equation.
z - 2 = (0)(x - 1) + (1)(y - 3)

Step 4: Simplify the equation.
z - 2 = y - 3

Step 5: Rearrange the equation to find the equation of the tangent plane.
z = y - 1

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Answer:

im sorry but can you post like something to go with it cause i dont get it like you only put numbers

Step-by-step explanation:

a) Jay will consume 50 barrels of beer.b) Jay will spend $2500 on beer.c) Jay's consumer surplus from beer consumption is $1250 where demand function is given.

a) To determine how many barrels of beer Jay will consume at a price of $50 per barrel, we can substitute this price into his demand function:

D(p) = 100 - p

D(50) = 100 - 50

D(50) = 50

Therefore, Jay will consume 50 barrels of beer.

b) To calculate how much money Jay will spend on beer, we multiply the price per barrel by the quantity consumed:

Money spent on beer = Price per barrel * Quantity consumed

Money spent on beer = $50 * 50

Money spent on beer = $2500

Jay will spend $2500 on beer.

c) The consumer surplus represents the difference between the maximum price a consumer is willing to pay and the actual price paid. In this case, Jay's consumer surplus can be calculated by finding the area of the triangle formed by the demand curve and the price axis. Since Jay's demand function is a straight line, the consumer surplus can be calculated as:

Consumer surplus = (1/2) * (Quantity consumed) * (Price per barrel)

Consumer surplus = (1/2) * 50 * $50

Consumer surplus = $1250

Jay's consumer surplus from beer consumption is $1250.

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The given equation is y + 2√y = x, with the constraints 1 ≤ y ≤ 2. The line intersects the y-axis.

The equation y + 2√y = x can be rewritten as √y = x - y. By squaring both sides, we get y = x^2 - 2xy + y^2.

Rearranging the equation, we have x^2 - 2xy = y - y^2.

This equation represents a quadratic curve. To determine the range of values for y, we look at the given constraints, 1 ≤ y ≤ 2. This means the curve is restricted between y = 1 and y = 2.

To find the intersection of the curve with the y-axis, we set x = 0 in the equation. This gives y = 0^2 - 2(0)(y) + y^2, which simplifies to y = y^2. Solving for y, we find two possible solutions: y = 0 and y = 1.

Therefore, the line intersects the y-axis at two points, namely (0, 0) and (0, 1).

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Answer:

A) vertical

Step-by-step explanation:

Vertical angles are a pair of opposite angles formed from intersecting lines. In this picture, A and B are on the opposite sides of the intersecting lines and are congruent as well, so this is a vertical angle.

Step-by-step explanation:

If t and w are inversely proportional, it means that as one variable increases, the other variable will decrease by the same factor. In this case, we have the equation t = 4/w, which means that if we multiply w by a certain factor, t will be divided by the same factor.

If we multiply w by 6, the new value of w will be 6 times the original value:

w' = 6w

To find the new value of t, we can substitute w' into the equation:

t' = 4/w'

t' = 4/(6w)

t' = 2/3w

So we see that t has been divided by 6/1 = 6. Therefore, the value of t will decrease by a factor of 6 if the value of w is multiplied by 6.

The frequency table shows that:

To construct frequency table with a range of 6 classes, we will determine range of the data which is difference between the largest and smallest value in the data set.

Data are: 42, 43, 46, 46, 47, 47, 48, 49, 49, 50, 51, 51, 51, 51, 51, 52, 52, 54, 54, 54, 54, 54, 55, 55, 55, 55, 56, 56, 56, 57, 57, 57, 57, 58, 60, 61, 61, 61, 62, 64, 64, 65, 68, 69

Age Interval     Frequency

40 - 45                    2  

46 - 51                    13

52 - 57                   31

58 - 63                    6

64 - 69                    5

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Both -5 and 1 are extraneous solution to the equation

A quadratic equation is a second-order polynomial equation in a single variable x ax2+bx+c=0. with a ≠ 0 . Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.

c²+2c-4-1-2c = 0

c²+2c-2c -4-1 = 0

c²-5 = 0

Therefore both -5 and 1 are extraneous solution in the equation.

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Answer:

-1/3

step-by-step explanation:

-21=-39k+-24

39k = -24 + 21

39k = -3 (divide each side by 39)

k = -1/3

Answer:

350

Step-by-step explanation:

Answer:

28.56 inches

Step-by-step explanation:

you need to find the circumference of a circle with a diameter of 4, ∴ radius is 2

C = 2πr

C = 4(3.14)

C = 12.56

Now add 12.56 to the two sides that are 6 inches and also add the four 1 inch segments to the right and left of each semi-circle.

12.56 + 2(6) + 1(4) = 12.56 + 12 + 4 which totals 28.56

The above question is a mathematical proof of the relationship between Lines and angles related to a Rhombus. See the proof below.

We know,

A Rhombus is a parallelogram with four sides (that is a quadrilateral). It's sides however are all of equal length.

we have,

∠DEC ≅ ∠BFC  Reason = All Right Angles with Equal dimensions are congruent.

∠C ≅ ∠C  Reason = It is the same angle for the two Right angles above which are congruent, hence Reflexive Property.

Δ DEC ≅ Δ BFC  Reason = Angle Angle Side. The triangles are said to be congruent when two angles and a non-included side of one triangle match the corresponding angles and sides of another triangle.

 ≅   Reason = The corresponding parts of congruent triangles are congruent. Also, it is a parallelogram with all congruent sides.

ABCD is a Rhombus Reason = Its sides are all congruent.

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complete question:

Given: ABCD is a parallelogram, FC is congruent to EC, DE bisects BC and BF bisects DC Prove: ABCD is a rhombus

Answer:

b = −0.5

Step-by-step explanation:

Let's solve your equation step-by-step.

−3b+2.5=4

Step 1: Subtract 2.5 from both sides.

−3b+2.5−2.5=4−2.5

−3b=1.5

Step 2: Divide both sides by -3.

-3b/-3 = 1.5/-3

The value of 'b' in the equation given is -0.5

Given the expression for which we could solve for the unknown:

Subtract 2.5 from both sides

-3b = 4 - 2.5

-3b = 1.5

divide both sides by -3 to isolate b

-3b/-3 = 1.5/-3

b = -0.5

Therefore, the value of b in the equation given is -0.5

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Answer:

Kindly check attached picture

Step-by-step explanation:

Based d on the instruction given.

1.)

-3 * 6 = 18

6 * - 2 = - 12

-3 * - 2 = 6

2.)

We use logical reasoning to find 2 numbers whichbwhen multiplied gives the number in the box in between :

The answers are given in the picture attached.

Answer:

ahhhhhhhhhhh

Step-by-step explanation:

Okay so for the present imagine it as x-3-×=13, then 2x=16, x=8. So the present box represents 8. When applied to the other questions you will find it that the squirrel is 6, the carrot is 2, and the snowman/green question mark is 5.

Answer:

A

Step-by-step explanation:

Simply guess and check, meaning the boys category must be divisible by 2 and the girls category must be divisible by 3

A: 24 boys ÷ 2 = 12 (equals a whole number so it is divisible; not a decimal)

36 girls ÷ 3 = 12 (both of the boys and girls are divisible by their corresponding numbers)

Yes

Now make sure the boys are a lower count than the girls as the ratio says it should be 2 to 3, meaning there are more girls than boys

B: 20 ÷ 2 = 10 (divisible)

35 ÷ 3 = 11.666 (this is a decimal answer so it is not divisible)

No

C: 36 ÷ 2 = 18

24 ÷ 3 = 8

Yes, they are divisible

Now lets check if boys have a lower count than girls

36 boys > 24 girls

This is not the solution as it doesn't reflect the correct ratio of less boys than girls

D: 35 ÷ 2 = 17.5 (not divisible)

20 ÷ 3 = 6.66 (not divisible)

The given regression model is Y = 25.7 + 5.5x1 + 78x2, where Yrepresents the estimated value of the response variable y. The model includes two predictor variables, x1 and x2. x1 is a quantitative variable, and its value is less than 20. x2 is not explicitly defined in the given information. The estimated regression equation was obtained from a sample of 30 observations.

The summary of the answer is that the estimated regression equation is Y = 25.7 + 5.5x1 + 78x2, where x1 is a quantitative variable with a value Yess than 20, and x2 is not specified. The estimated equation represents the relationship between the predictors x1 and x2 with the response variable y based on the sample of 30 observations.

In the second paragraph, we explain that the estimated regression equation provides a mathematical representation of the relationship between the predictors (x1 and x2) and the response variable (y) based on the given sample of 30 observations. The coefficients in the equation, 5.5 and 78, represent the estimated effects of x1 and x2 on the response variable, respectively. The constant term, 25.7, is the estimated intercept of the regression line. By plugging in specific values for x1 and x2 into the equation, we can estimate the corresponding value of y. It is important to note that the information about the variable x2 is not provided, so we cannot make specific interpretations about its effect on y based on the given information.

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The probability of having to try three or more times is = 431/46656.

To find the probability of having to try three or more times to get all three dice to show the same number, we need to consider the probabilities of different outcomes.

On the first roll, all three dice can show any number with equal probability, so the probability of not getting a match on the first roll is 1.

On the second roll, we want to calculate the probability of not getting a match again. There are two cases to consider:

Since we want to calculate the probability of having to try three or more times, we are interested in the event where we do not get a match on the first two rolls.

Therefore, the probability of this event is \((215/216)^2\) = 46225/46656.

Thus, the probability of having to try three or more times is 1 - 46225/46656

= 431/46656.

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Here's link to the answer:

tinyurl.com/wpazsebu

Answer:

It is 9

Step-by-step explanation:

2÷18=9

x=9

Hope ld this helped you

A rule that could represent this dilation of a hexagon on a coordinate grid with the origin as the center is: (x, y) → (kx, ky), where k is the dilation factor (0 < k < 1) for creating a smaller hexagon.

The rule that could represent this dilation is to multiply the coordinates of each vertex of the original hexagon by the scaling factor (the factor by which the hexagon is being dilated) and the distance from the origin. Since the origin is the center of the dilation, the distance from the origin to any point on the hexagon remains constant. Therefore, the rule for dilating a hexagon with the origin as the center of dilation can be written as:
New Vertex = Scaling Factor x Distance from Origin x Old Vertex

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The rule that represents the dilation of the hexagon with the origin as the center of dilation is:
\((x\prime, y\prime) = (xr, yr)\)
r is the ratio of the side lengths of the image to the pre-image, and (x, y) are the coordinates of a point on the pre-image.

A hexagon means to scale it up or down in size while maintaining its shape.

The hexagon will be made smaller.

The center of the dilation is the origin, which means that the hexagon will be scaled equally in all directions from the center.
To find the rule that represents this dilation, we can use the formula for dilation.

The formula for dilation is:
\((x\prime, y\prime) = k(x, y)\)
(x, y) are the coordinates of a point on the pre-image (the original hexagon), \((x\prime, y\prime)\) are the coordinates of the corresponding point on the image (the smaller hexagon), and k is the scale factor.
The center of dilation is the origin, which means that the coordinates of the center of the pre-image and the image are both (0, 0). Since the hexagon is being scaled down, the scale factor k must be less than 1.
To find the value of k, we need to know the ratio of the side length of the image to the side length of the pre-image. Let's say that the side length of the pre-image is s, and the side length of the image is \(s\prime\).

The scale factor k can be found using the formula:
\(k = s\prime / s\)
Since the hexagon is being scaled down, we know that\(s\prime < s.\)

Let's say that the ratio of the side lengths is r, where:
\(r = s\prime / s\)
Then we can rewrite the formula for k as:
\(k = r / 1\)
The center of dilation is the origin, the coordinates of each point on the pre-image are equal to the length of their respective sides.

The vertices of the pre-image using the following coordinates:
A = (0, s)
\(B = (s\sqrt 3/2, s/2)\)
\(C = (s\sqrt 3/2, -s/2)\)
\(D = (0, -s)\)
\(E = (-s\sqrt3/2, -s/2)\)
\(F = (-s\sqrt3/2, s/2)\)
The coordinates of the corresponding vertices on the image, we can substitute these coordinates into the formula for dilation:
\(A\prime = k(0, s) = (0, rs)\)
\(B\prime = k(s\sqrt3/2, s/2) = (s\sqrt3/2 r, s/2 r)\)
\(C\prime = k(s\sqrt3/2, -s/2) = (s\sqrt3/2 r, -s/2 r)\)
\(D\prime = k(0, -s) = (0, -rs)\)
\(E\prime = k(-s\sqrt3/2, -s/2) = (-s\sqrt3/2 r, -s/2 r)\)
\(F\prime = k(-s\sqrt3/2, s/2) = (-s\sqrt3/2 r, s/2 r)\)

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As per inequality, it means that the value of x can be less than or equal to y.

Inequality in Mathematics

The two expressions that make up an equation or an inequality are connected in a mathematical statement. The equal sign (=) in an equation denotes the equality of the two expressions. The symbols >, <, ≤, or ≥ are used to denote an inequality, when the two expressions aren't always equal.

Type of Inequality

The given expression, x <= y denotes the type of inequality where the possible values of x are either less than y or equal to less. The value of x cannot be greater than y in any case.

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Answer:

2

Step-by-step explanation:

Answer:

yes he does have enough to buy the tv

Step-by-step explanation:

Work Shown:

\((x-5)^2+2=11\\\\(x-5)^2=11-2\\\\(x-5)^2=9\\\\x-5=\pm\sqrt{9}\\\\x-5=\pm3\\\\x=5\pm3\\\\x=5+3 \text{ or } x = 5-3\\\\x=8 \text{ or } x = 2\\\\\)

The equation to find the cost of the apples per pound is (9-3/4)*X=15

The cost of apples per pound is $1.82

What is the total cost of apples bought?

The total cost of apples remaining can be determined as the price per apple multiplied by the number of apples left, in other words, based on the quantity of apples left and the unknown price per pound as well as the cost of the remaining apples we can derive the following formula:

(9-3/4)*X=15 ........... (the required equation)

9-0.75)*X=15

8.25X=15

X=15/8.25

X=$1.82

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Select Stat >Basic Statistics >1-Sample Z to run a hypothesis test for the population mean when the population standard deviation is provided.

If your data is already organized in a column, type its name into the Samples in columns: box. Alternatively, if you are familiar with the summary statistics, click the arrow next to Summarized data and type the values for the Sample size and Mean into the appropriate fields. In all situations, fill out the Standard deviation box with the population standard deviation value. In the box labelled "Test mean:," type the value from the null hypothesis. Then, from the Alternative box, click the Options button and choose the relevant alternate theory. In each window, press OK. The output, which contains the p-value for the test, will show up in the Session window. You can decide something based on this p-value.

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Answer:

17 lunches

Step-by-step explanation: