-2x^2-20x-46
How would you solve this?

Answer:quadratic formula

Step-by-step explanation:

Answer:

Completing the square.

Step-by-step explanation:

x^2-8x+(-4)^2=22 can be rewritten as (x-4)^2=22. therefore, the best method would be completing the square.

Answer:

Multiplication:                Division:                  Addition:                Subtraction:

100 * 2/5                      100/2 *5                      89 + 43 - 10             4 - 5 + 7

5 + 3 - 8 * 10                 14 - 4/8                       (4 + 3)/ 2 (idk about this one)

6 * 3 - 8                         15 + 8 / 4 - 6

                                    2/3 + 4 * 2

Hope this helps!

Answer:

100*2/5, 6*3-8, 2/3+4*2, 5+3-8*10 goes to multiplication first. 100/2*5, 14-4/8, 15+8/4-6 goes to division first. (4+3)/2, 89+43-10 goes to addition first. 4-5+7 goes to subtraction first.

Step-by-step explanation:

Follow the order of the operations (Parenthesis, Exponents, Multiplication, Division, Addition and Subtraction.) Addition and subraction, multiplication and division gets determined by reading from left to right. Whichever comes first will be first calculated.

15+8/4= 8/4 is first. Division.

14-4/8= 4/8 is first. Division.

2/3+4*2= 4*2 is first. Multiplication.

100*2/5= Multiplication is first.

100/2*5=100/2. Division.

6*3-8=6*3. Multiplication.

(4+3)/2=(4+3). Addition.

89+43-10= 89+43. Addition.

4-5+7=4-5. Subtraction.

5+3-8*10= 8*10. Multiplication.

Therefore , the solution of the given problem of  ordered pair  comes out to be -7 is the solution.

Two distinct variables that organize themselves in a way that implies a particular sequence are referred to as "ordered pairs". The main or second components, respectively, indicate the coordinates for the x and y positions in an order pair. The sample following employs close parentheses to show the ordered combination.

Here,

In the ordered pair

=>  (6, -7), the number -7 indicates the y-coordinate.

The x-coordinate is represented by number one in the sorted pair,

6, and the y-coordinate is represented by number two, -7.

So, -7 is the solution.

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The answer of the given question based on the number that represents the y-coordinate 6 or -7 is  the number -7 represents the y-coordinate.

In mathematics, a graph is a collection of points, called vertices or nodes, and lines connecting some or all of these points, called edges or arcs. Graphs are used to model and study relationships between objects or events.

Graphs can be used to represent a variety of things, like social networks, road networks, electrical circuits, chemical compounds, and more. They are also used in computer science and data analysis, where they can be used to represent data structures, algorithms, and data relationships.

There are different types of graphs, including directed and undirected graphs, weighted graph and unweighted graphs, and connected and disconnected graphs. The study of graphs is called graph theory, and it has applications in a variety of fields, including computer science, physics, engineering, and social sciences.

In the ordered pair (6, -7), the number -7 represents the y-coordinate.

In an ordered pair (x, y), the x-coordinate represents the horizontal position on the graph, while the y-coordinate represents the vertical position on the graph.

So, in the given ordered pair (6, -7), the number 6 represents the x-coordinate, and the number -7 represents the y-coordinate.

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Answer:

s = 2 1/3 + 1/2

t = 2/3 + 3/2

We have to find the sum of both s and t.

2 1/3 + 1/2 = 2 2/6 + 3/6 = 2 5/6

2/3 + 3/2 = 4/6 +  9/6 = 13/6 = 2 1/6

If we look at the number lines, we can see that c matches with both points.

Answer:

the function that is graphed is y=½CSC(x)

Using double angle identity, we are able to prove tan(x)(1 + cos(2x)) = sin(2x).

To prove the identity tan(x)(1 + cos(2x)) = sin(2x), we can start by using trigonometric identities to simplify both sides of the equation.

Starting with the left-hand side (LHS):

tan(x)(1 + cos(2x))

We know that tan(x) = sin(x) / cos(x) and that cos(2x) = cos²(x) - sin²(x). Substituting these values, we get:

LHS = (sin(x) / cos(x))(1 + cos²(x) - sin²(x))

Next, we can simplify the expression by expanding and combining like terms:

LHS = sin(x) / cos(x) + sin(x)cos²(x) / cos(x) - sin³(x) / cos(x)

Simplifying further:

LHS = sin(x) / cos(x) + sin(x)cos(x) - sin³(x) / cos(x)

Now, let's work on the right-hand side (RHS):

sin(2x)

Using the double angle identity for sine, sin(2x) = 2sin(x)cos(x).

Now, let's compare the LHS and RHS expressions:

LHS = sin(x) / cos(x) + sin(x)cos(x) - sin³(x) / cos(x)

RHS = 2sin(x)cos(x)

To prove the identity, we need to show that the LHS expression is equal to the RHS expression. We can combine the terms on the LHS to get a common denominator:

LHS = [sin(x) - sin³(x) + sin(x)cos²(x)] / cos(x)

Now, using the identity sin²(x) = 1 - cos²(x), we can rewrite the numerator:

LHS = [sin(x) - sin³(x) + sin(x)(1 - sin²(x))] / cos(x)

    = [sin(x) - sin³(x) + sin(x) - sin³(x)] / cos(x)

    = 2sin(x) - 2sin³(x) / cos(x)

Now, using the identity 2sin(x) = sin(2x), we can simplify further:

LHS = sin(2x) - 2sin³(x) / cos(x)

Comparing this with the RHS expression, we see that LHS = RHS, proving the identity.

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Answer:

2775

Step-by-step explanation:

Hope this helped :)

Answer:

the answer for this question is 18

The solution of the equations y = x + 5 and y = 2x − 13 will be (18, 23). Then the correct option is D.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The equations are given below.

y = x + 5                ...1

y = 2x - 13            ...2

From equations 1 and 2, then we have

2x - 13 = x + 5

2x - x = 5 + 13

x = 18

Then the value of the variable 'y' is given as,

y = 18 + 5

y = 23

The solution of the equations y = x + 5 and y = 2x − 13 will be (18, 23). Then the correct option is D.

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Answer:

E[N] = 1

Step-by-step explanation:

Here is the hint we are given on this problem - " Write N = \(1_{A_1}\) + \(1_{A_2}\) + · · · + \(1_{A_{ 13}\)where \(A_k\) is the event that a match occurs on deal k. "

_____

Now the standard thing is to do is let \(X_i\) = 1, if there is a match on the \(i\)-th pick and 0 otherwise. The number of matches is given to be \(X_1\) + \(X_2\) . . . + \(X_{13}\). Knowing that, we can use the linearity of expectation -

There are 13 cards and for \(i\)-th pick, the probability of having a card with \(i\) number is 1 / 13. Therefore, E[N] = E[\(X_1\) + \(X_2\) . . . + \(X_{13}\)] = 1

_____

Solution: E[N] = 1

Answer:

  b.  $154,810

Step-by-step explanation:

You want to know the price of a home that can be purchased for a monthly payment of $879.32 on a 30-year loan at 5.5%.

The given table tells you the multiplier m used to find the monthly payment p from the loan amount P for different time periods and interest rates.

  p = (P/1000)×m

The table value for a 30-year loan at 5.5% is m = 5.68. Solving the equation for P, we have ...

  1000p/m = P

  1000(879.32/5.68) = P ≈ 154,809.86 ≈ 154810

You qualify for a loan of $154,810.

__

Additional comment

The multiplier 5.68 is found on row 2 (5.5%) of column 4 (30 years).

By answering the presented question, we may conclude that As a result, equation the answer is (b) $154,810.

A mathematical equation is a formula that connects two statements and denotes equivalence with the equals symbol (=). An equation is a mathematical statement that shows the equality of two mathematical expressions in algebra. In the equation 3x + 5 = 14, for example, the equal sign separates the variables 3x + 5 and 14. A mathematical formula describes the connection between the two sentences that occur on opposite sides of a letter. The symbol and the single variable are frequently the same. As in 2x - 4 Equals 2, for instance.

To establish the purchase price of a property, we must use the monthly payment and the table supplied to determine the mortgage amount that corresponds to the monthly payment.

According to the data, the monthly payment per $1000 of mortgage for a 30-year fixed mortgage at a 5.5% interest rate is $5.68.

Hence, to calculate the mortgage amount for a $879.32 monthly payment, we may apply the following formula:

Mortgage amount = monthly payment / mortgage payment per $1000

$879.32 mortgage amount / $5.68 per $1000

Loan amount = $154,810

As a result, the purchasing price of a house is $154,810.

As a result, the answer is (b) $154,810.

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The expressions equivalent to the given expressions are; (2y+12), 4(y/2+3) and 4(y/2-4+7)

An algebraic expression consists of unknown variables, numbers and arithmetic operators. It does not contain any equality or inequality symbols.

Given an expression, 4(7/8y-4-3/8y+7)

4(7/8y-4-3/8y+7) = 7/2y-16-3/2y+28

= 1/2(7y-32-3y+56)

= 1/2(4y+24)

= 2y+12

or, 4(1/2y+3) or 4(1/2y-4+7)

Hence, The expressions equivalent to the given expressions are; (2y+12), 4(y/2+3) and 4(y/2-4+7)

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Answer:

Option 3, 57+32=32+57

Step-by-step explanation:

Communitive Property of Addition is where the equation is the same except the numbers swap places. In this case, that would be 57+32=32+57.

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Answer:The inequality represented by the equation y = -11/7x - 4 can be written as:

y ≤ -11/7x - 4

This represents a less than or equal to inequality, indicating that the values of y are less than or equal to the expression -11/7x - 4.

Step-by-step explanation: .

The images best represents the result is image W.

We have, the image is rotated about the x-axis.

Now, rotating around x axis can give the other half of the image.

Also, rotating about x axis gives the mirror image of the figure.

So, the rotation leads to a circle.

and, In three dimensional we can say that Sphere.

Thus, the required image is W.

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Answer:

$2690.28

Step-by-step explanation:

2862 decrease 6% =

2862 × (1 - 6%) = 2862 × (1 - 0.06) = 2690.28

Answer:

2700

Step-by-step explanation:

106%-> 2862

100%->2700

Answer:

The first step is to calculate the average daily balance for the billing cycle. This is done by adding up the daily balances for each day of the billing cycle and then dividing by the number of days in the billing cycle. In this case, the billing cycle is from July 7 to August 6, so there are 31 days in the billing cycle.

The daily balances are as follows:

* July 7: $216.71

* July 14: $268.75

* July 17: $284.37

* July 21: $116.71

* July 24: $260.74

The average daily balance is therefore $226.81.

The next step is to calculate the finance charge. This is done by multiplying the average daily balance by the interest rate and then by the number of days in the billing cycle. In this case, the interest rate is 1.25% and the number of days in the billing cycle is 31 days.

The finance charge is therefore $7.43.

The final step is to calculate the new balance. This is done by adding the finance charge to the previous balance. In this case, the previous balance is $216.71 and the finance charge is $7.43. The new balance is therefore $224.14.

Here is the solution in mathematical form:

* Average daily balance = (216.71 + 268.75 + 284.37 + 116.71 + 260.74) / 31 = 226.81

* Finance charge = 226.81 * 0.0125 * 31 = 7.43

* New balance = 216.71 + 7.43 = 224.14

Step-by-step explanation:

The Gini coefficient is 2(−13/30) = -13/15.

The Lorenz curve L(p) can be expressed as the cumulative distribution function of a random variable X. The Gini coefficient is then given by the area between the diagonal line (representing perfect equality) and the Lorenz curve L(p).

In other words, the Gini coefficient is the ratio of the area between the diagonal line and the Lorenz curve to the total area under the diagonal line.

The Lorenz curve for the state can be given as L(p)=p^4/3.Ron can compute the Gini coefficient by finding the area between the diagonal line and the Lorenz curve.

The diagonal line goes from (0,0) to (1,1).The area under the diagonal line is 1/2.

The area between the diagonal line and the Lorenz curve is given by∫[0,1](L(p)−p)dp=

∫[0,1](p^4/3−p)dp

=(1/15)−(1/2)

= -13/30

The Gini coefficient can be negative when the Lorenz curve lies above the diagonal line, which indicates that the distribution is more equal than the hypothetical distribution of perfect equality.

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Explanation:

Both points have the same identical x coordinate, so this line is completely vertical. Vertical lines are always of the form x = k, where k is some constant.

The equation must be x = -8 since we want both x coordinates to be -8.

Side note: The slope of this line is undefined, which applies to any vertical line.

By using exponent, 3.p.p.p.3.3 can be written as 3³ · p³

In Mathematics, laws of indices can be defined as the standard principles and rules that are used for simplifying a mathematical equation or expression that involves powers  of the same base.

This ultimately implies that, a product that has repeated factors can be expressed as a power by using an exponent and a base.

An exponent can be defined as a mathematical operation that is used to raise a quantity to the power of another and it is generally written as bⁿ.

3.p.p.p.3.3 = 3 × p × p × p × 3 × 3

3 × p × p × p × 3 × 3 = 3 × 3 × 3 × p × p × p

3 × 3 × 3 × p × p × p = 3¹ × 3¹ × 3¹ × p¹ × p¹ × p¹

3¹ × 3¹ × 3¹ × p¹ × p¹ × p¹ = 3⁽¹ ⁺ ¹ ⁺ ¹⁾ × p⁽¹ ⁺ ¹ ⁺ ¹⁾

3⁽¹ ⁺ ¹ ⁺ ¹⁾ × p⁽¹ ⁺ ¹ ⁺ ¹⁾ = 3³ × p³

3³ × p³ = 3³ · p³

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So ummm. I kind of got this wrong, and I had to delete my answer, I swear, I am SOOOO sorry. If there is a way I can give your points back I will do so.

So um yeah, just ignore this.

Answer:

go left for times and go down 7 .

Step-by-step explanation:

Answer:

(-4,7)

Step-by-step explanation:

I hope this helps :)

Answer:

4m is the answer.

Step-by-step explanation:

a = 3m

b = ?

c = 5m

According to the Pythagoras theorem,

a² + b² = c²

3² + b² = 5²

9 + b² = 25

b² = 25 - 9

b² = 16

b = 4m

∴ The distance between the ladder and the bottom of the slide is 4m.

So with the given information, I make the length equal x and the width equals x+61. Remember a rectangle has two pairs of equal sides.

So then the equation is 4x+122=406

Do systems and you will find that x equals 71.

The length is 71cm

The width is 71+61=132cm

Answer:

b. 4

c. 90⁰

Step-by-step explanation:

a. is in the diagram

Hey there! I'm happy to help!

To find the volume of a cube, you simply cube the side length (multiply it by itself three times). This is because all of the sides of a cube are the same and if you multiply the length by the width by the height it is the same number multiplied by itself three times.

We already know that the volume is 91.125 cubic inches. To find the side length, we simply do the cube root on our calculator, which tells us what number we cube to get 91.125.

∛91.125=4.5

Therefore, the side length of the sandbox is 4.5 inches.

I hope that this helps! Have a wonderful day! :D

10.

Yes, because if we multiply the shortest commercial by 3, we obtain the length of the largest commercial:

3 x 1/2 = 1 1/2

12. It is logical, there's no way to improve his reasoning.