Part 1: Identify each pair of angles adjacent vertical complementary supplementary and/or a linear pair

Part 2: use the figure at the right to answer each question

The solution of the quadratic equation -2x² + 4x = 5 is; x = 1 ± (1/2)√-6

We are given the quadratic equation;

-2x² + 4x = 5

-2x² + 4x - 5 = 0

Quadratic formula for an equation of the form ax² + bx + c = 0 is given as; x = [-b ± √(b² - 4ac)]/(2a)

From the given quadratic equation, we can see that;

a = -2

b = 4

c = -5

Thus;

x = [-4 ± √(4² - 4*-2*-5)]/(2*-2)

x = [-4 ± √(16 - 40)]/-4

x = -4/-4 ± (1/4)√-24

x = 1 ± (2/4)√-6

x = 1 ± (1/2)√-6

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Total hay eaten by horse is 983 pounds.

given,

handy ate 779 pound hay in first month .

in the next month handy ate 204 pounds of hay,

we have to add both the numbers ,204+779

=983pounds.

so,

the total amount of hay eaten by handy is 983 pounds.

The addition formula is the statement that shows an addition fact and is expressed as, addend + addend = sum.

Long addition is a process for adding numbers together.

Stack your numbers and align the columns by place value.

Add all numbers column by column from right to left.

Record the sum in the answer space for each column.

If the sum of any one column is greater than nine, carry the additional digits to the next highest column.

The addition is the process of adding 2 or more numbers to get a final result. The 4 main properties of addition are commutative, associative, distributive, and additive identity. Commutative refers that the result obtained from addition is still the same if the order changes.

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Answer:

C is correct! for the slope, N is represented.

Step-by-step explanation:

The slope of the line that contains the points (1, 9) and (3, 4) is 4−93−1=−52.

slope=y2−y1x2−x1=4−93−1=−52

The negative reciprocal is 25, which is the slope of the perpendicular line.

The intersection of M and F is {d}.

The union of M and F is {b, d, e, h, j}

A set is a collection that is used to model a collection of different things. A set can be described as a collection of objects whose elements are fixed and cannot be changed.

To write a set in a roster form, the elements in the set are written in a row within curly brackets - { }. The elements in the set would be separated by commas.

The intersection represents only elements that are common to two or more sets. Th sign used to represent intersection is ∩. The union of sets are all the elements in the set. The sign used to represent union is U.

The intersection of M and F = d.

It is only d that is in both set M and set F.

The union of M and F = {b, d, e, h, j}

Here is the complete question:

The sets M and F are given below.

M= ( b, d, h)

F= (d, e, j)

find the union of M and F. Find the intersection of M and F.

Write your answers using set notation (in roster form).

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Answer:

Step-by-step explanation:

x³-6x²+x-5

but it is divided by x+2

x+2=0.

x=-2.

(-2)³-6(-2)²+(-2)-5.

-8-6*4-2-5.

-8-24-7

-15-24

Shown in pic

Source: Trust me

Yes the relation is a function because each input value has only one output value

Function is a type of relation, or rule, that maps one input to specific single output.

The x circle contains the numbers -6, -1, 4, and 0. The y circle contains the numbers -2, -1, and 3.

The mapping is of numbers from x to numbers from y. There are arrows going from 6 to -1, from -1 to 2, from 4 to 3, and from 0 to 3.

Thus, we conclude that yes the relation is a function because for each element of the set X there is only one correspondent element in the set Y.

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Answer: c

Step-by-step explanation: i did the test C:

Answer:

;( no se tu problema

Answer:

1491.94

Step-by-step explanation:

7.1/100 = x/1605.96

=114.02

1605.96-114.02=1491.94

Answer:

12

Step-by-step explanation:

4.18/6  *  5 over 5

72/6 *5 over 5

72/6 * 5 divided by 5

12.5 divided by 5

12 times 5 over 5

60/5

60 divided by 5

60 more cases of coke is needed to maintain the required inventory.

Total inventory for the coke needed = 120

Number of cokes in then cooler = 17

Number of coke in the floor display = 43

Number of coke needed more to maintain the required inventory will be calculated by using subtraction.

= 120 - 17 - 43

= 103 - 43

= 60

Therefore, 60 more cases of coke is needed to maintain the required inventory.

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Answer:

7ab(b^4-8)

Step-by-step explanation:

(7ab)(b^4-8)

The graph of saving function f(x) = 40 - 1.25x has been plotted with a slope of -1.25.

A graph is a diagram that shows the fluctuation of one variable in relation to one or more other variables.

In order to plot the graph, we need to find out y's values corresponding to x's value

Given the function,

f(x) = 40 - 1.25x

Now to plot it we need to put x = 0

f(0) = 40 so y-intercept is (0,40)

Now keep f(x) = 0

Then 0 = 40 - 1.25x

x = 40/1.25 = 32

So x-intercept is (32,0)

So plot a straight line using points (0,40) and (32,0).

Hence "The graph of saving function f(x) = 40 - 1.25x has been plotted".

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Answer: 9) 0.42, 2/5, 4.5%

10) 3.34, 3 1/3, 300%

Step-by-step explanation:

In rectangular pyramid VWXYZ where WX>XY, then slant height VA shorter than the slant height VB.

As given,

In rectangular pyramid VWXYZ,

WX>XY

⇒(WX/2)>(XY/2)

⇒AX>BX

Draw perpendicular height VM and join AM and BM such that MAXB is a rectangle

AM=BX and BM=AX

So, BM>AM  __(1)

In right triangle VMA and VMB,

VA and VB are slant height (hypotenuse)

VM=perpendicular height

AM and BM are base

VA=√VM² + AM²

VB=√VM² + BM²  __(2)

From (1) and (2)

VA<VB

Therefore, in rectangular pyramid VWXYZ where WX > XY, then slant height VA shorter than the slant height VB.

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The solution to the composite functions are as follows:

The composite functions can be solved as follows:

f(x) = x² / 2

g(x) = x + 2

Therefore,

f(g(x)) = (x + 2)² / 2

f(g(x)) = (x + 2)(x + 2) / 2

f(g(x)) = x² + 2x + 2x + 4 / 2

f(g(x)) = x² + 4x + 4 / 2

Therefore,

g(f(x)) = x² / 2 + 2

g(f(x)) = x² / 2 + 2

Therefore, the solution to the composite functions are as follows:

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The ruler postulate is that A. the distance between two points can be determined by the absolute value of the difference of the real number values of the two points.

The set of points on a line can be arranged in such a way that the set of real numbers and the set of points correspond exactly, and the distance between any two points is equal to the absolute value of the difference between the corresponding numbers.

Therefore, the ruler postulate is that the distance between two points can be determined by the absolute value of the difference of the real number values of the two points.

In conclusion, the correct option is A.

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Answer:

1. y = 2x - 5

2. y = (-1/3)x

3. y = -4

4. y = (-3/4)x + 7

5. x = 6

6. y = -3x - 8

Step-by-step explanation:

1.

Point 1: (0, -5) Point 2: (-1, -7)

            (x₁, y₁)                (x₂, y₂)

        y₂ - y₁        -7 - (-5)     -7 + 5       -2

m = ------------ = ----------- = ---------- = ------ = 2

        x₂ - x₁         -1 - 0           -1           -1

y - y₁ = m (x - x₁)

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

y + 5 = 2x - 0

   -5           -5

y = 2x - 5

----------------------------------------------------------------------------------------------------------

2.

Point 1: (0, 0) Point 2: (3, -1)

            (x₁, y₁)             (x₂, y₂)

        y₂ - y₁        -1 - 0            -1

m = ------------ = ----------- = ----------

        x₂ - x₁         3 - 0            3

y - y₁ = m (x - x₁)

y - (0) = (-1/3)(x - 0)

y - 0 = (-1/3)x - 0

   -0                -0

y = (-1/3)x

----------------------------------------------------------------------------------------------------------

3.

Point 1: (0, -4) Point 2: (-5, -4)

            (x₁, y₁)                (x₂, y₂)

        y₂ - y₁        -4 - (-4)   -4 + 4         0

m = ------------ = ----------- = ---------- = ------ = 0

        x₂ - x₁         -5 - 0          -5          -5

y = -4

----------------------------------------------------------------------------------------------------------

4.

Point 1: (0, 7) Point 2: (4, 4)

            (x₁, y₁)             (x₂, y₂)

        y₂ - y₁        4 - 7            -3

m = ------------ = ----------- = ----------

        x₂ - x₁         4 - 0            4

y - y₁ = m (x - x₁)

y - 7 = (-3/4)(x - 0)

y - 7 = (-3/4)x - 0

   +7               +7

y = (-3/4)x + 7

----------------------------------------------------------------------------------------------------------

5.

Point 1: (6, 0) Point 2: (6, 3)

            (x₁, y₁)              (x₂, y₂)

        y₂ - y₁        3 - 0             3

m = ------------ = ----------- = ---------- = undefined

        x₂ - x₁         6 - 6           0

x = 6

----------------------------------------------------------------------------------------------------------

6.

Point 1: (0, -8) Point 2: (-4, 4)

            (x₁, y₁)                (x₂, y₂)

        y₂ - y₁        4 - (-8)      4 + 8       12

m = ------------ = ----------- = ---------- = ------ = -3

        x₂ - x₁         -4 - 0          -4         -4

y - y₁ = m (x - x₁)

y - (-8) = -3(x - 0)

y + 8 = -3x - 0

   -8           -8

y = -3x - 8

I hope this helps!

The matching of each system of equations to the inverse of its coefficient matrix: (refer to the picture given below)

After matching each system of equations to the inverse of its coefficient matrix: (refer to the picture given below)

Therefore, the matching of each system of equations to the inverse of its coefficient matrix: (refer to the picture given below)

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The complete question is given below:
Match each system of equations to the inverse of its coefficient matrix, A^-1and the matrix of its solution, X.

Answer:

shown in picture

Step-by-step explanation:

Answer:

Respuesta (ab³+))

The time taken to exhaust the money will be 33 days.

Total amount = 100

Let the number of days be represented by x.

Therefore, the appropriate expression will be:

(3 × x) = 100

3x = 100

Divide

x = 100/3

x = 33.33

Therefore the time taken will be 33 days.

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The range of the function y = x^2 + 4x + 7 is y >= 3

The equation of the function is given as

y = x^2 + 4x + 7

Start by differentiating the above function

So, we have

y' = 2x + 4

Set the above equation to 0

So, we have

2x + 4 = 0

Divide through the equation by  2

So, we have

x + 2 = 0

Evaluate the like terms:

x = -2

Substitute x = -2 in y = x^2 + 4x + 7

y = (-2)^2 + 4(-2) + 7

Evaluate the expression

y = 3

The leading coefficient of the equation y = x^2 + 4x + 7 is positive

This means that the vertex is a minimum

So, the range is

y >= 3

Hence, the range of the function y = x^2 + 4x + 7 is y >= 3

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The amount of external financing Tobin Supplies Company have to seek assume there is no increase in liabilities other than that which will occur with the external financing is $58,250

What is the appropriate formula for external financing?

The formula that models the amount of external financing Tobin supplies company requires is a function of its increase in assets minus the retained earnings which would be used to part-fund the increase in assets

external funds needed=increase in assets-retained earnings

increase in assets=$105,000

retained earnings=net income-dividends

net income=sales*profit margin

net income=$550,000*10%

net income=$55,000

dividend payout ratio=15%

dividends=$55,000*15%

dividends=$8250

retained earnings=$55,000-$8250

retained earnings=$46,750

external funds needed=$105,000-$46,750

external funds needed=$58,250

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1. The Lisa pay for the filet mignon she purchased at $6.99 per pound is $30.41 pounds.

2. The amount she will pay for the shrimp is $11.8125.

3. The total amount Lisa will pay for the filet mignon and the shrimp is $42.2225.

1. The local grocery store has filet mignon on sale for $6.99 per pound. Lisa bought 4.35 pounds of steak for the dinner party. The amount paid will be:

= 4.35 × $6.99

= $30.41 pounds.

2. Lisa also purchased 2.25 pounds of shrimp at $5.25 per pound. The amount she will pay for the shrimp is:

= 2.25 × $5.25

= $11.8125

3. The total amount Lisa will pay for the filet mignon and the shrimp is:

= $11.8125 + $30.41

= $42.2225

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Answer:

$42.2225

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

there are 15 pieces of candy and 5 people, so all you have to do is divided 15 by 5 which gives you 3 meaning each person gets 3 pieces.

Answer:

3

Step-by-step explanation:count them all together 15 put them into separate groups

Answer:4/3

Step-by-step explanation:from point (0,-1) to (4,4)

From first point on the y it goes up 5and 4 to the right

Or you can use formula m= y2-y1 / x2-x1

(X1,y1) (x2,y2).                  m= 4- -1/4-0 m= 5/4

(0,-1).   (4,4)

In linear equation, 95 is Meghan's amount of money is changing .

What in mathematics is a linear equation?

Based on the given conditions, formulate ( 1100  - 720 ) ÷ 4

Calculate the sum or difference = 380/4

Cross out the common factor = 95

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In order to compare the lengths from the shortest to the longest, we need to convert all the fractions into decimals.

We are given the different lengths of the spool of twine that is being cut.

We have those lengths as:

5 / 6 foot

0.75 foot

4 / 5 foot.

To compare the lengths from the shortest to the longest, we need to first convert all the fractions into decimals.

So, we get that:

5 / 6 foot = 0.83 foot

4 / 5 foot = 0.80 foot

Now, we can arrange the lengths from the shortest to the longest.

0.75 foot, 0.80 foot, o.83 foot.

Therefore, we get that, in order to compare the lengths from the shortest to the longest, we need to convert all the fractions into decimals.

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Your question was incomplete. Please refer the content below:

Sakura is making a mobile. She has a spool of twine that she cuts into

lengths of 5/6 foot, 0.75 foot, and 4/5 foot. The mobile will have pieces twine in lengths in order from shortest to longest. A. What do you need to do before you can compare the lengths?

The value of the function f(6) on the graph of the linear equation is -1

Linear equations are equations that have constant average rates of change.

Note that the constant average rates of change can also be regarded as the slope or the gradient

The equation of the function is given as

f(x) = 1/3x - 3

The graph of the function is added as an attachment

From the graph, we can see that when x = 6, the value of the function is -1

This means that f(6) = -1

Hence, the value of the function f(6) on the graph of the linear equation is -1

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