Which of the following points are the solutions to the equation 3 x - 4 y - 8 = 1 2

The maximum value of the objective function occurs at (-3, 0). The correct option is (-3, 0).

A function y = f(x) is a one to one relationship between two sets X and Y where the set X is called the domain and Y the range of function f(x) and x ∈ X and y ∈ Y.

The objective function is given as f(x, y) = −2x + y − 1.

For the maximum value all the options are analysed one by one as follows,

(a) Substitute x = 3 and y = 0 in the given objective function to obtain,

-2 × 3 + 0 - 1 = -7

(b) Substitute x = -3 and y = 0 in the given objective function to obtain,

-2 × -3 + 0 - 1 = 5

(c) Substitute x = 0 and y = -3 in the given objective function to obtain,

-2 × 0 + -3 - 1 = -4

(d)  Substitute x = 0 and y = 0 in the given objective function to obtain,

-2 × 0 + 0 - 1 = -1

Hence, the maximum value of the given objective function occurs at (-3, 0).

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Answer: No. The triangles are not congruent because their side lengths are different.

Step-by-step explanation:

NO. Clare is wrong because, after dilation, the corresponding side lengths of triangle ABC (pre-image) and triangle A'B'C' (image) are different. They are not congruent.

Recall:

Thus, after dilation, triangle ABC and triangle A'B'C' cannot be congruent to each other. They are rather similar to each other because the side lengths of the image and pre-image will definitely be different from each other.

In summary, NO. Clare is wrong because, after dilation, the corresponding side lengths of triangle ABC (pre-image) and triangle A'B'C' (image) are different.

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Answer:

4,600

Step-by-step explanation:

A = P(1 + rt)

P = 4000

r = 0.05 (rate in percent form)

t = 3 years

A = 4000(1 + (0.05)(3))

A = 4000(1+0.15)

A = 4000(1.15)

A = 4,600

Using distributive property, the solution to the given expression is: 50v - 40w + 20

The Distributive Property is a term which is an algebra property which is used to multiply a single term and two or more terms inside a set of parentheses.

For example:

4(3 + 5)

According to the distributive property, you first have to multiply out the bracket to get:

4*3 + 4*5 = 12 + 20

= 32

Thus:

5(10v - 8w + 4) = (5 * 10v) - (5 * 8w) + (5 * 4)

= 50v - 40w + 20

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Let l be the length of the rectangular parking lot and let w be its width.

l = 2w - 9

Area = 315

Area of a rectangle = l x w

Substitute for Area and length in the above

315 = ( 2w - 9) x w

315 = (2w - 9)w

315 = 2w² - 9w

Re-arrange

2w² - 9w - 315 = 0

We can now solve for w using factorisation method

2w² - 30w + 21w - 315 =0

2w ( w - 15) + 21( w - 15) = 0

(w - 15)(2w + 21) = 0

Either w - 15 = 0 or 2w + 21 = 0

w = 15 or w =-10.5

But there is no negative dimension, so we will take only the positive value

substitute w = 15 into l = 2w - 9 to get the length

l = 2(15) - 9 = 30 - 9 = 21

Therefore the dimensions are;

length = 21 yards and width = 15 yards

Answer: (1,3)

Step-by-step explanation:

Let's solve this system of equations by elimination. We will multiply one or both equations such that when we combine the equations, one of the variables will completely cancel out.

Let's multiply the whole first equation by -2 to achieve this:

\(-2(x+2y=7)\) now becomes \(-2x-4y=-14\)

Now let's add both equations

\(-2x-4y=-14\)

\(2x-y=-1\)

\(-5y= -15\)

Since we got y into a form we can solve it for, lets divide both sides by -5 to isolate it.

\(\frac{-5y}{-5} = \frac{-15}{-5}\)

\(y=3\)

Now that we have the value of y, we can substitute it into any equation to solve for x. Only if we have both x and y can we make an ordered pair. Let's use the second equation and substitute 3 for y.

\(2x-3=-1\)

We can now solve for x.

\(2x=2\) [Adding 3 to both sides]

\(x=1\) [Dividing by 2 on both sides]

We now have both x and y, so we can put it in an ordered pair to answer the question.

\((1,3)\)

Answer:

Step-by-step explanation: for a party, the family bought 24 pizzas for $12.50 each and 36 bottles of soda for $1.20 each. how much did the family spend on pizza? fill in the blank with the numerical answer only. the family spent $_______ on pizza.

The family spent 300$ on pizza

Answer:

Answer

Step-by-step explanation:

for pizza: $300.00

for soda: $43.20

In all: 343.20

Answer:

a) For Pawnee:

Range = 11, Mean = 3.13, Mean deviation = 2.44

For Chickpee:

Range =  7, Mean = 4.25, Mean deviation = 1.59

b) Pawnee Location has fewer lost days.

c) variation of the Chickpee is less than Pawnee location

Step-by-step explanation:

Data given:

For Pawnee:

3 1 0 0 2 11 5 3

Max = 11

Min = 0

Range = Max - Min

Range = 11-0 = 11

Range = 11

For Chickpee:

3 6 8 4 4 5 3 1

Max = 8

Min = 1

Range = Max - Min

Range = 8 - 1

Range = 7

For mean of Pawnee:

Mean = (3 + 1 + 0 + 0 + 2 + 11 + 5 + 3)/8

Mean = 25/8

Mean = 3.125

For mean deviation, we find the difference from the mean of each point.

Note: all the negative values will be taken as 0.

Differences from the mean of each point =

(3-3.13)=0.13, (1-3.31) = 2.13 ,

(0-3.13)=0, (0-3.13)=3.13,

(2-3.13)=1.13, (11-3.13)=7.87,

(5-3.13)=1.87, (3-3.13)=0.13

So, our differences are:

(0.13, 2.13, 0, 3.13, 1.13, 7.87, 1.87, 0.13 )

Mean deviation =  Sum of all differences/8

Mean deviation = (0.13+2.13+3.13+3.13+ 1.13+ 7.87+ 1.87+ 0.13)/8

Mean deviation = 2.44

For mean of Chickpee:

Mean = (3+6+8+4+4+5+3+1)/8

Mean = 34/8

Mean = 4.25

Similarly, we need to find mean deviation for Chickpee, for that we need to find the differences first as done above for Pawnee.

Note: all the negative values will be taken as 0

Differences from the mean:

(3-4.25) = 1.25, (6-4.25) =1.75,

(8-4.25) = 3.75, (4-4.25)=0.25,

(4-4.25)=0.25, (5-4.25)= 0.75,

(3-4.25)=1.25, (1-4.25) =3.25

So, the differences are:

Differences = (1.25,1.75,3.75,0.25,0.25,0.75,1.25,3.25)

Mean deviation = (1.25+ 1.75+ 3.75+ 0.25+ 0.25+ 0.75+ 1.25+ 3.25)/8

Mean deviation = 1.59

b) which location has fewer lost days:

This can be found out by the total number of days of Pawnee and chickpee.

Pawnee = Sum of values = (3 + 1 + 0 + 0 + 2 + 11 + 5 + 3) = 25 days

Chickpee = Sum of values = (3+6+8+4+4+5+3+1) = 34 days

Hence, Pawnee Location has fewer lost days.

C) which location has less variation?

Formula for variation = ∑(\(\frac{x^{2} }{8}\)) - (\(mean^{2}\))

where x = values of the set.

For Pawnee:

\(mean^{2}\) = \(3.13^{2}\) = 9.8

Sum of square of all the data points of Pawnee = 169

Variation = 169/8 - 98 = 11.325

Similarly,

For Chickpee:

\(mean^{2}\)  = \(4.25^{2}\) = 18.06

Sum of square of all the data points of Chickpee = 176

Variation = 176/8 - 18.06

Variation = 22-18.06

Variation = 4

Hence, variation of the Chickpee is less than Pawnee location

The volume of the square prism = height * area of the base

Given:

Volume = 512 cubic centimeters

And height = 32 cm

So,

512 = 32 * area of the base

so, area of the base = 512/32 = 16 square cm

But the base is a square

Area of the square of length x is x^2

so, x^2 = 16

x = √16 = 4

so, the length of each side of its square base = 4 cm

===================================================

The volume of the sphere = (4/3) * (pi) * r^3

So, 972 pi = (4/3) * (pi) * r^3

r^3 = (3/4) * 972 = 729

r = 9

so, the diameter = 2r = 18

part (b) : part b says if the diameter is halved, what is its volume in terms of pi

so the ne

Answer:

x = 30°

Step-by-step explanation:

the first triangle is equilateral.

An equilateral triangle has also congruent angles whose measure is 60°

The vertex of the under triangle is the supplementary of the angle of the equilateral triangle

180 - 60 = 120°

the triangle is isosceles because the two oblique sides are congruent

An isosceles triangle has two congruent base angles

120 + 2x = 180

2x = 180 - 120

2x = 60

2 / 2 x = 60/2

x = 30°

Answer:

x = 30

y = 5

Step-by-step explanation:

The triangle to the left has all congruent angles.

Since the sum of the measures of the angles of a triangle is 180°, and all angles are congruent, then each angle measures 180°/3 = 60°.

An equiangular triangle (all angles are congruent) is also an equilateral triangle (all sides are congruent.

Since one side of the left triangle measures 40, then all sides of the left triangle measure 40.

Now let's look at the triangle on the right side. One side measures 40. The left side also measures 40 since we know from the triangle at left. Opposite angles of congruent sides are congruent. The bottom right angle of the triangle to the right also measures x°. The upper angle is the supplement of 60°, so it measures 120°.

x + x + 120 = 180

2x = 60

x = 30

The upper left small triangle is equilateral.

8y = 40

y = 5

Answer:

y=-1/4x+2

Step-by-step explanation:

So the forumla for slope/intercept equation is:

y=mx+b

Y equals the y coordinates on the graph. This is the value that you plug in x to solve for.

m equals the slope of the graph. (In this case -1/4)

x equals the x coordinates. This will always be just x when writen in a slope intercept equation, since x is the value you plug in to solve for y.

b equals the y intercept. This is different from the y coordinates. This is a known value, which can be found when x=0. (In this case 2)

Now, using this lets plug in our numbers for the differet variables:

y=mx+b

We know that m, the slope, is -1/4. So:

y=-1/4x+b

We also know that b, the y inteercept, is 2. Since we have the coordiantes (0x, 2y). So:

y=-1/4x+2

This is all you have to do! This is because y is the number you solve for, and x is the value you plug.

Hope this makes sense and helps! :)

33% in fraction is 33/100.

Please mark as brainliest ~

The incorrect statement is:

B. The three-part inequality - 5x < 15x^2 < 3 is equivalent to - 6 ≤ 5 - x < 6.

In the given statement, there is an error in the inequality. The correct statement should be:

The three-part inequality - 5x < 15x^2 < 3 is equivalent to - 6 ≤ 5 - x and 5 - x < 6.

When solving the three-part inequality - 5x < 15x^2 < 3, we need to split it into two separate inequalities. The correct splitting should be:

- 5x < 15x^2 and 15x^2 < 3

Simplifying the first inequality:

- 5x < 15x^2

Dividing by x (assuming x ≠ 0), we need to reverse the inequality sign:

- 5 < 15x

Simplifying the second inequality:

15x^2 < 3

Dividing by 15, we get:

x^2 < 1/5

Taking the square root (assuming x ≥ 0), we have two cases:

x < 1/√5 and -x < 1/√5

Combining these inequalities, we get:

- 5 < 15x and x < 1/√5 and -x < 1/√5

Therefore, the correct statement is that the three-part inequality - 5x < 15x^2 < 3 is equivalent to - 6 ≤ 5 - x and 5 - x < 6, not - 6 ≤ 5 - x < 6 as stated in option B.

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Answer:

π/6 and 5π/6

Step-by-step explanation:

Graphing the equation or using a unit circle, we can find these values out pretty easily

Answer:

-4.4c+1.1

Step-by-step explanation:

Answer:

23.077%

Step-by-step explanation:

To find the percentage we have to create a similar equation

\(\frac{9}{39}=\frac{x}{100}\\\)

Now we cross multiply

\(9 * 100 = 39 * x\\39x=900\\x= \frac{900}{39}= 23.077\)

23.077/100 = 23.077%

Answer:

23.0769231% (23.08% rounded).

Step-by-step explanation:

To find a percent of a fraction or number, you have to multiply it by 100. But first, we have to divide 9 by 39 to get a fraction, which is 0.23076923076. (0.2308 rounded) Then, you multiply the number by 100 and you get 23.0769231% (23.08% rounded).

1+3+5+5+1+3+5+0+0

4+5+5+1+3+5

9+5+1+3+5

14+1+3+5

15+3+5

18+5

23

23/9

the mean is 2 and 5/9

Answer:

600 units of for snack-size, 1800 units for family-size

Step-by-step explanation:

The least common denominator needed to solve the equation is given as follows:

D. x(x - 3).

The equation in this problem is given as follows:

1/x + 2/(x - 3) = 5.

The denominators of each expression are given as follows:

x and x - 3 are not factors of each other, hence we multiply them and the least common denominator needed to solve the equation is given as follows:

D. x(x - 3).

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Step-by-step explanation:

You can sketch a trapezoid with the points;

(1, 1) (5, 1) (2,3) (4, 3)

For the dilations you can choose a scale factor 2 and 1/2. then apply these dilations to the points. (multiply each induvial number into the point by these the scale factor)

Answer:

11 minute

Step-by-step explanation:

22 min/2 miles

11 min/ 1 mile

22 minutes ÷2=11 minutes for 1 mile

11 ×11=121 for 11 miles

Answer:

Step-by-step explanation:

it can contain ≥ 3 triangles.

Answer:c

Step-by-step explanati

Answer:

The square root of 7 and the square root of 2

Step-by-step explanation:

Answer:

20.68976

Step-by-step explanation:

Convert the percentage into decimal :

58% = 0.58

0.58 × x = 12

Divide both sides by 0.58 :

x = 12÷0.58

x = 20.689655...

x = 20.68976

So the method to these types of question is to make the question into an equation by converting the percentage into a decimal, rearrange to make the unknown number the subject and solve .

Hope you understood and have a good day

Answer:

x=-27

Step-by-step explanation:

2x-2=-52

2x=-54

×=-27

have a good day

Answer:

x = - 27 is the correct answer

Step-by-step explanation:

2x + 2 = -52

or, 2x = -52 -2

or, 2x = -54

or, x = -54 ÷ 2

therefore, x = -27

hope this answer will help u

Answer:

I am pretty sure it is 4.

Answer: 6x\(6x{2}+93x-126andx{2}+84\)

Step-by-step explanation: The only thing you do is just to keep multiplying until you get your answer.

The value of x using the theorem of intersecting secants is 10

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

intersecting secants

Using the intersecting secants equation, we have

8 * (8 + x) = 6 * (6 + 18)

Evaluate the like terms

So, we have

8 * (8 + x) = 6 * 24

Divide both sides by 8

8 + x = 6 * 3

So, we have

8 + x = 18

Subtract 8 from both sides

x = 10

Hence, the value of x is 10

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