if the percentage difference was 34.846% and the number of voters were 3066649 in 2016, calculate the number of registered voters (A) in 2011​

Answer:

\(j = 7 \pm \sqrt{44}\)

Step-by-step explanation:

First, move the constant term to the other side of the equation.

\(j\² + 14j + 5 = 0\)

\(j\² + 14j = -5\)

Next, add the coefficient of the first degree j term divided by 2, then squared to both sides.

\(j^2 + 14j + (14/2)^2 = -5 + (14/2)^2\)

\(j^2 + 14j + (7)^2 = -5 + (7)^2\)

\(j^2 + 14j + 49 = -5 + 49\)

\(j^2 + 14j + 49 = 44\)

Now, we can factor the left side as a square.

\((j+7)(j+7) = 44\)

\((j+7)^2 = 44\)

Finally, we can take the square root of both sides to solve for j.

\(\sqrt{(j+7)^2} = \sqrt{44\)

\(j+7=\pm\sqrt{44}\)

\(\boxed{j = 7 \pm \sqrt{44}}\)

Note that there are two solutions, as \(\sqrt{44\) could be positive OR negative because of the even root property:

if \(x^2 = a^2\),

then \(x = \pm a\)

because both \((+a)^2\) and \((-a)^2\) equal \(a^2\).

The equation for the axis of symmetry of the parabola y = - 4 x² + 24 x - 35 is given by x = 3.

We know that the method to find the axis of the symmetry of the parabola is given by:

x = - b / 2 a

We have the general equation of the parabola as:

y = a x² + b x + c

We have the equation of the parabola as:

y = - 4 x² + 24 x - 35

Comparing from this equation, we get that:

a = - 4

b = 24

c = - 35

Now, substituting the values, we get that:

x = - 24 / 2 (- 4)

x = - 24 / - 8

x = 24 / 8

x = 3

Therefore, the equation for the axis of symmetry of the parabola y = - 4 x² + 24 x - 35 is given by x = 3.

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Answer:

0.833

Step-by-step explanation:

After simplifying, your final answer is 3/2. Check the picture above for the work.

Answer:

Step-by-step explanation:

Answer:

y = x + 1

Step-by-step explanation:

Parallel lines have same slope.

y = x - 1

Compare with the equation of line in slope y-intercept form: y = mx +b

Here, m is the slope and b is the y-intercept.

m =1

Now, the equation is,

         y = x + b

The required line passes through (-3 ,-2). Substitute in the above equation and find y-intercept,

        -2 = -3 + b

  -2 + 3 = b

         \(\boxed{b= 1}\)

    Equation of line in slope-intercept form:

                  \(\boxed{\bf y = x + 1}\)      

The equation is :

Solution:

If two lines are parallel to each other, then their slopes are equal. The slope of y = x - 1 is 1. Hence, the slope of the line that is parallel to that line is 1.

We shouldn't forget about a point on the line : (-3, -2).

I plug that into a point-slope which is :

\(\sf{y-y_1=m(x-x_1)}\)

Slope is 1 so

\(\sf{y-y_1=1(x-x_1)}\)

Simplify

\(\sf{y-y_1=x-x_1}\)

Now I plug in the other numbers.

-3 and -2 are x and y, respectively.

\(\sf{y-(-2)=x-(-3)}\)

Simplify

\(\sf{y+2=x+3}\)

We're almost there, the objective is to have an equation in y = mx + b form.

So now I subtract 2 from each side

\(\sf{y=x+1}\)

Answer:

Step-by-step explanation:

For step explanation:

1. write the problem

2. distinguishing the neg sign

3. distributing 3

4. moving like terms next to each other through commutative property

5.  Combining like terms

6. getting rid of parentheses

A candle stick chart shows open and close prices and highs and lows, but over a long time period it can also show pricing trends.

In Mathematics and statistics, a chart is an effective medium that is used to graphically display data in a pictorial form. This ultimately implies that, a chart typically comprises the following elements:

In Financial accounting and statistics, a candle stick chart can be defined as a type of price chart that is typically used in technical analysis to graphically represent the low, high, open, and closing prices of a derivative, security, or currency, over a specific period of time.

In conclusion, a candle stick chart can display pricing trends over a long time period.

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Complete Question:

Select the correct answer from each drop-down menu. Identify the type of chart described and complete the sentence.

A _____ chart shows open and close prices and highs and lows, but over a long time period it can also show pricing ____

Answer:

Step-by-step explanation:

If the diameter is 4 meters, then the radius has to be 2 because the radius is half of the diameter.

Step-by-step explanation:

This is an equation, where we need to find the value of x.

To solve this equation, we can first use the distributive property to expand 3.4(x + 7) which gives 3.4x + 3.4 * 7 = 3.4x + 23.8

Now we have the equation:

3.4x + 23.8 - 2.1 = 35.5

Next, we can add 2.1 to both sides of the equation:

3.4x + 23.8 = 37.6

Then, we can subtract 23.8 from both sides of the equation:

3.4x = 13.8

Finally, we can divide both sides of the equation by 3.4 to find the value of x:

x = 4

Therefore, the value of x that solves the equation is 4.

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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Answer:

see explanation

Step-by-step explanation:

using the tangent ratio in the right triangle

tan A = \(\frac{opposite}{adjacent}\) = \(\frac{BC}{AB}\) = \(\frac{5}{11}\) , then

∠ A = \(tan^{-1}\) ( \(\frac{5}{11}\) ) ≈ 24.4° ( to 1 decimal place )

tan C = \(\frac{opposite}{adjacent}\) = \(\frac{AB}{BC}\) = \(\frac{11}{5}\) , then

∠ C = \(tan^{-1}\) ( \(\frac{11}{5}\) ) ≈ 65.6° ( to 1 decimal place )

using Pythagoras' identity in the right triangle

the square on the hypotenuse is equal to the sum of the squares on the other two sides, that is

AC² = AB² + BC² = 11² + 5² = 121 + 25 = 146 ( take square root of both sides )

AC = \(\sqrt{146}\) ≈ 12.08 ( to 2 decimal places )

Answer:

If we define S as the number Sprinkle's umbrellas, and H as the Hurricane's umbrellas, the profit P can be expressed as:

\(P=3S+5H\)

The restriction for cloth can be written as:

\(S+2H\leq500\)

The restriction for metal can be written as:

\(2S+3H\leq600\)

The restriction for wood can be written as:

\(4S+7H\leq800\)

The condition for S and H to be positive is:

\(S, H \geq0\)

Step-by-step explanation:

We have an objective function that, in this case, we want ot maximize.

This function is the Profit (P).

If we define S as the number Sprinkle's umbrellas, and H as the Hurricane's umbrellas, the profit can be expressed as:

\(P=3S+5H\)

We have 3 restrictions, plus the condition that both S and H are positive.

The restriction for cloth can be written as:

\(S+2H\leq500\)

The restriction for metal can be written as:

\(2S+3H\leq600\)

The restriction for wood can be written as:

\(4S+7H\leq800\)

The condition for S and H to be positive is:

\(S, H \geq0\)

Answer: x = -2, \(\frac{2 }{3}\)

Step-by-step explanation:

     Given:

0 = –3x² – 4x + 4

    The quadratic formula:

\(\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}\)

    Substitute known values:

* a = -3, b = -4, c = 4

\(\displaystyle x=\frac{-(-4)\pm\sqrt{(-4)^2-4(-3)(4)} }{2(-3)}\)

    Simplify with multiplication:

\(\displaystyle x=\frac{4\pm\sqrt{16+48} }{-6}\)

    Simplify:

\(\displaystyle x=\frac{4\pm\sqrt{64} }{-6}\)

\(\displaystyle x=\frac{4+8 }{-6}\),    \(\displaystyle x=\frac{4-8 }{-6}\)

\(\displaystyle x=\frac{12 }{-6}\),    \(\displaystyle x=\frac{-4 }{-6}\)

Answer:

y=2x-6

Step-by-step explanation:

y+4=-2(x-1)

Since the slope intercept form is in the form of:

y=mx+c

Making above equation in this form.

y+4=-2(x-1)

opening bracket

y+4=2x-2

subtracting both side by 4.

y+4-4=2x-2-4

y=2x-6

This equation is the slope intercept form.

Answer:

The second one is the lie adjacent means next to each other there not therefore thats the lie hope that helps!

Answer:

its option 2 because the y values don't repeat

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

(someone passed this to me) 90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you

Answer:

-72

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

12(6 - 12)

Step 2: Evaluate

Answer:

-72 i think. sorry if im wrong... pls mark this as brainliest if i am right! thx

Step-by-step explanation:

have a good day! :)

Answer:

2 Times Remainder 14

Or 2.20895522388 times

Step-by-step explanation:

67 x 2 = 134

148 - 134 = 14

It will go in two times with a remainder of 14

(a) | BD | bisects | AC | (reason : Given)

(b) |AD| ≅ |CD| (reason: |BD| is the perpendicular bisector of segment AC).

(c) ∠ABD ≅ ∠CBD (reason: | BD |  bisects angle ABC)

(d) ∠A ≅ ∠ C (reason: complementary angles of a right triangle)

Congruent angles are the angles that have equal measure. So all the angles that have equal measure will be called congruent angles.

From the first statement, we will complete the flow chart as follows;

line BD bisects line AC (reason : Given)

line AD is congruent to line CD (reason: line BD is the perpendicular bisector of segment AC)

Angle ABD is congruent to angle CBD (reason: line BD bisects angle ABC)

Angle A is congruent to angle C (reason: angle ABD = angle CBD, and both triangles ABD and CBD are right triangles).

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There will be 28 ounces of essential oil is needed for 728 ounces of wax.

what is division method?

A division is a process of splitting a specific amount into equal parts. For example, we can divide a group of 20 members into 4 groups of 5 members each or 5 groups of 4 members each, and so on.

Given that

There are 8 ounces of essential oil which is used for 208 ounces of wax.

now

Number of ounces of essential oil is used in 1 ounces of wax.

= 8÷208

=8/208

=1/26

Therefore , for  728 ounces of wax ,Number of ounces of essential oil is

=728×1/26

=728/26

=28

Thus There will be 28 ounces of essential oil is needed for 728 ounces of wax.

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Answer:  j(x) = (x-1)(x+2)

The x-1 part is because of the root x = 1

The root x = -2 leads to the factor x+2

Answer:

0.3333333333 is right answer

The term of each of the following diagram is below;

Line CA = radius

Angle ADB = 1/2 of ACB

Angle ACB:

AC = CB equal radius

Angle Angle CAB = Angle CBD (isosceles triangle)

Angle ACB = 2 time angle ADB.

Line EF = Tangent

The tangent of a circle is a line drawn to be perpendicular to the radius of a circle because they are always at a right angle.

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By looking at the graph of the linear equation, we conclude that the y-value for x = -3, is y = -9

Here we have the graph of a linear equation. What the graph tells us is "what is the value of y for each value of x".

So, if we  want to find the value of y when we have x = -3, then:

Following these steps, you should be able to see that, when x = -3, the value of y is -9

So we conclude that the y-value for x = -3, is y = -9

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Answer:

the last one

Step-by-step explanation:

.................

Answer:

Step-by-step explanation:

x+9

Let x, be 4

4+9=13

given condition,

x+9<4x

4+9<4(4)

13<16

The answer is:

Work/explanation:

Our inequality is:

\(\sf{x+9 < 4x}\)

Flip it

\(\sf{4x > x+9}\)

Solve

\(\sf{4x-x > 9}\)

Combine like terms

\(\sf{3x > 9}\)

Divide each side by 3

\(\sf{x > 3}\)