What are the values of x in the equation x2 – 6x + 9 = 25? x = –2 or x = 8 x = –1 or x = –11 x = 1 or x = 11 x = 2 or x = –8

Answer:

Number of terms  = 31.

Step-by-step explanation:

Sum of n terms of an A S with first term 1 and common difference 1:-

496 = (n/2)(2(1) + 1(n - 1))

496 = (n/2)(n + 1)

n^2/2 + n/2 = 496   Multiply through by 2:-

n^2 + n = 992

n^2 + n - 992 = 0

(n - 31)(n + 32) = 0

n = 31   (we ignore the negative).

You have to see if the polynomial is factorable

In this case, it isn't, so now see the grade of the polynomial, we can see that is grade 2, so we can use the quadratic formula to find the roots:

the polynomial is in the form:

So, replace

So we have two imaginary roots

Answer:

For Brand A:

1 Oz: 0.9 cents

For Brand B:

1 oz: 0.12 cents

Step-by-step explanation:

You take the price of the cheese then divide it by how many ounces there is.

Please give me brainliest.

Answer:

Step-by-step explanation:

Let's assume the length of the shorter side of the rectangular garden is x, then the length of the longer side will be 2x.

The distance between the centres of the adjacent sides of the garden is the hypotenuse of a right-angled triangle whose other two sides are x and 2x/2 = x.

Therefore, by the Pythagorean theorem:

(√(x^2 + x^2))^2 = (20)^2

2x^2 = 400

x^2 = 200

x = √(200) ≈ 14.14

So the length of the shorter side is approximately 14.14 meters, and the length of the longer side is approximately 28.28 meters.

The perimeter of the garden is:

2(shorter side + longer side) = 2(14.14 + 28.28) = 84.84 meters

The area of the garden is:

shorter side × longer side = 14.14 × 28.28 = 400 square meters

Answer:

-1 < x < 2

interval notation: (-1, 2)

Step-by-step explanation:

Given the open circles on the x-values of -1 and 2, this means that these endpoints are not included in the solution set. Since the bounded intervals are between -1 and 2, then it implies that the x values for the solution must be between these values, not including -1 and 2.  

Therefore, the inequality statement for the given figure is: -1 < x < 2, which can be written in the following interval notation: (-1, 2).

Please mark my answers as the Brainliest if my explanations were helpful :)

Answer:

Sue rode 1885 miles total

Step-by-step explanation:

There are 31 days in March, 30 in April, and 30 in May.

31 * 12 + 30 * 12 + 30 * 12 = 1092

There are 30 days in June and 31 in august.

30 * 13 + 31 * 13 = 793

Now we find the total:

1092 + 793 = 1885

Answer:

10

Step-by-step explanation:

Answer:

10 apples

Step-by-step explanation:

20% of 50 = 10

10 apples

Answer:

x=7 and y=3

Step-by-step explanation:

Step: Solve x−3y=−2 for x:

x−3y=−2

x−3y+3y=−2+3y(Add 3y to both sides)

x=3y−2

Step: Substitute3y−2for x in x+3y=16:

x+3y=16

3y−2+3y=16

6y−2=16(Simplify both sides of the equation)

6y−2+2=16+2(Add 2 to both sides)

6y=18

6y

6

=

18

6

(Divide both sides by 6)

y=3

Step: Substitute3foryinx=3y−2:

x=3y−2

x=(3)(3)−2

x=7(Simplify both sides of the equation)

Answer:

x=7 and y=3

Answer:

Step-by-step explanation:

2x = 14

x = 7

7 + 3y = 16

3y = 9

y = 3

(7, 3)

answer is A

The expressiοn that we can use tο find the tοtal revenue is 90x + 120y - 5n  

An algebraic expressiοn is a cοmbinatiοn οf numbers, variables, and mathematical οperatiοns, such as additiοn, subtractiοn, multiplicatiοn, and divisiοn. Algebraic expressiοns can be used tο represent a wide range οf mathematical relatiοnships

Given that

A trader sells x pencils at 90 each,

Then selling price οf 'x' pencils = 90x

The trader sοld y pens at 120

Then the selling price οf y pens = 120y

5 erasers are sοld at N

Cοst οf 5 erasers = 5 × N = 5N  

Hence, the tοtal revenue = 90x + 120y - 5n

Therefοre,

The expressiοn that we can use tο find the tοtal revenue is 90x + 120y - 5n.

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Indeed, one hour after the jet has taken off, the jet has caught up with the cargo plane.

The time it takes the cargo plane to cover 450 miles is 2.5 hours (450/180).

The time it takes the jet to cover 450 miles is 1 hour (450/450).

The two planes will catch up with each other in 2 hours, by which time the cargo plane has done only 360 miles while the jet has covered 450 miles.

Speed of the cargo plane = 180 miles per hour

Total distance to travel to Jamesville from McHale Airport = 500 miles

Speed of the jet = 450 miles per hour

Remaining distance after one hour = 320 miles (500 - 180)

After the cargo plane runs another hour of 180 miles, the jet must have caught up with and overtaken the cargo plane.

In two hours, the cargo plane covers 360 miles (180 x 2).

The time it takes the cargo plane to cover 450 miles is 2.5 hours (450/180).

Thus, one hour after the jet took off, the jet caught up and overtook the cargo plane.

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On solving the linear equations we get the result  as

x1   + x2   − 2x3 + 3x4 + 2x5 = 6

3x1 + 3x2 − x3   + x4   + x5   = 12

2x1 + 2x2 − x3   + x4   − 2x5 = 5

4x1 + 4x2 + x3    +0x4 − 3x5 = 16

8x1 + 5x2 − 2x3 − x4   + 2x5 = 29

where ,

x1 =  5,x2 = -1, x3 =  3 ,x4 =  2 , x5 =  1

Finding the value of an equation's unknown variable can be done by solving the equation. If an equation contains a "equal to" sign, it is considered to be balanced. This equation so shows that the two quantities on both sides of it are equal. Left hand side and right hand side are the two sides of the equation (Right hand side).

One equation is x - 4 = 5, for instance. It illustrates that x - 4 (LHS) = 5. (RHS). Here, x is an unknowable quality or variable. Therefore, in order to determine the value of x, we must solve this equation.

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Answer:

only god knows

Step-by-step explanation:

because they didn't give us an answer on how many text messages anyone sent

Answer:

The answer is the 3rd one, not equivalent. 8x+4y=4(2x+y)

From the graph attached below, the solution to the system of linear inequalities are (1, 4)

A system of linear inequalities is a collection of linear inequalities in the same variables. The solution is any ordered pair that satisfies each of the inequalities.

In the problem given;

y < - x + 5 ...eq(i)

y ≥ 3x + 1 ...eq(ii)

To determine the solution to the system of linear inequalities, it is easier for us to use graphical method. This is simply done by plotting the points and determine the coordinate at which both inequalities intersect.

From the graph of the system of linear inequalities, the solution to this is (1, 4) which is option E

Kindly find attached graph below

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Answer:

Hope this helps

Step-by-step explanation:

MRK ME BRAINLIEST PLZZZZZZZZZZZZZZ

The area οf the actual bridge deck in square feet is 1,280 square feet.

Area refers tο the measurement οf the size οf a twο-dimensiοnal surface, usually measured in square units such as square inches, square feet, οr square meters. It represents the amοunt οf space that is inside the bοundary οf a flat οbject οr shape.

The scale οf the drawing is 40:1, which means that the dimensiοns οf the scaled bridge deck are 40 times smaller than the actual bridge deck. Tο find the area οf the actual bridge deck in square feet, we need tο cοnvert the dimensiοns οf the scaled bridge deck frοm inches tο feet and then multiply by the square οf the scale factοr (40² = 1600).

The dimensiοns οf the scaled bridge deck in feet are:

24 inches = 2 feet

4 and 4/5 inches = 0.4 feet

Sο, the area οf the scaled bridge deck in square feet is:

2 feet x 0.4 feet = 0.8 square feet

Tο find the area οf the actual bridge deck in square feet, we need tο multiply the area οf the scaled bridge deck by the square οf the scale factοr:

Area οf actual bridge deck = 0.8 square feet x (40²) = 1280 square feet

Therefοre, the area οf the actual bridge deck in square feet is 1,280 square feet.

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Answer:

Step-by-step explanation:

The scale factor indicates the actual bridge is 40 times larger than the drawing.

Increase the scale dimensions by the factor of 40.

24 times 40 = 960"

4.8 times 40 = 192" (I changed 4 4/5 to 4.8)

Area = length times width

960 times 192 = 184320 sq inches actual bridge deck in square inches

Divide 183320 by 144 (sq inches in a square foot) = 1280 sq feet

For the function f(x) = 7/8x² - 14, the x-intercepts are x = -4 and x = 4.

What is a function?

In mathematics, a function is a unique arrangement of the inputs (also referred to as the domain) and their outputs (sometimes referred to as the codomain), where each input has exactly one output and the output can be linked to its input.

To find the x-intercepts of the function f(x), we need to solve the equation f(x) = 0.

f(x) = 7/8x² - 14

Substitute f(x) with 0 -

0 = 7/8x² - 14

Add 14 to both sides -

7/8x² = 14

Multiply both sides by 8/7 -

x² = 16

Take the square root of both sides -

x = ±4

Therefore, the x-intercepts of the function f(x) are x = -4 and x = 4.

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slope intercept:

y=3/4x-7

point slope form:

I used the y intercept (0,-7) as a point to plug into point slope form.

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

The linear equation of the line is y = 3/4x -  7 and y + 7 = 3/4(x - 0)

The slope is given as:

m = 3/4

The y-intercept is given as:

c = -7

A linear equation in slope intercept form is represented as:

y = mx + c

So, we have:

y = 3/4x -  7

The equation in point slope form is calculated as follows:

y = 3/4x -  7

Add 7 to both sides

y + 7 = 3/4x

Express 3/4x as 3/4(x)

y + 7 = 3/4(x)

Subtract 0 from x

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

Hence, the linear equation of the line is y = 3/4x -  7 and y + 7 = 3/4(x - 0)

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A. True.

In a two-column proof, the left column consists of statements, which are the facts or assumptions that lead to the proof of the theorem, while the right column consists of the reasons or justifications that explain how each statement logically follows from the previous one. Therefore, the left column states your reasons is a true statement.

The answer to the student's question is True. In a two-column proof, the left column contains the statements (steps) and the right column contains the corresponding reasons (justifications).

The answer to the question, 'True or false? In a two-column proof, the left column states your reasons', is A. True.

A two-column proof is organized into two columns. The left column contains the 'Statements' and the right column contains the corresponding 'Reasons'. The 'Statements' are the steps that lead to the conclusion of the proof, while the 'Reasons' justify each of those steps according to rules or laws of mathematics.

For example, if we want to prove that the opposite angles of a parallelogram are equal. The left column (Statements) could contain the first step 'ABCD is a parallelogram' and the right column (Reasons) would give the explanation 'Given'. Therefore, in a two-column proof, the left column does represent statements, not reasons.

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Answer:

Y = 3x - 6

Step-by-step explanation:

- 3y = -9x + 18

divide by -3

y = 3x - 6

Answer:

65+x=150

he has 65 so if he keeps adding to it which is x and then he will get 150.

Here is the code that can be used to find the MLE of M allele in the 206th row of Mourant dataset using the HardyWeinberg package in R:

# Load HardyWeinberg package

library(HardyWeinberg)

# Load Mourant dataset

data(Mourant)

# Extract the genotype counts for the 206th row

counts <- Mourant[206, 2:4]

# Calculate the MLE of M allele frequency

mle <- hw_mle(counts)

# Extract the MLE of M allele frequency

mle_M <- mle$p[2]

Note that the code assumes that the Mourant dataset is already installed and loaded in R. If the dataset is not installed, you can install it by running install.packages("HardyWeinberg") in R.

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The product of −3 1/4 and −1 1/2  as a mixed number is \(4\frac{7}{8}\).

The product of −3 1/4 and −1 1/2  as a simplified form is \(\frac{39}{8}\)

Thew products between two terms can be described as the multiplication operation of the the two terms to give a term which is been performed by the use of the operation sign (*) between the two terms.

The mixed number can be defined as the numbers that contains whole numbers as well as the denominators and numerator.

It should be noted that the product of −3 1/4 and −1 1/2  can be done as (\(-3\frac{1}{4} * -1\frac{1}{2} = -\frac{13}{4} * \frac{-3}{2} = \frac{39}{8} = 4\frac{7}{8}\)

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Based on the percent of red paint, Casho's purple paint will be redder than Isaiah's.

To determine whose purple paint will be redder based on the percent of red paint, we need to compare the ratios of red paint to the total paint used by Isaiah and Casho.

Isaiah's Ratio:

Isaiah mixes 3 cups of blue paint and 7 cups of red paint, making a total of 3 + 7 = 10 cups of paint.

To calculate the percent of red paint, we divide the amount of red paint (7 cups) by the total amount of paint (10 cups) and multiply by 100 to get the percentage:

Red paint percentage for Isaiah = (7 cups / 10 cups) * 100 = 70%

Casho's Ratio:

Casho mixes 4 cups of blue paint and 13 cups of red paint, making a total of 4 + 13 = 17 cups of paint.

To calculate the percent of red paint, we divide the amount of red paint (13 cups) by the total amount of paint (17 cups) and multiply by 100 to get the percentage:

Red paint percentage for Casho = (13 cups / 17 cups) * 100 = 76.47% (rounded to two decimal places)

Comparing the percentages, we can see that Casho's purple paint will be redder because Casho's paint has a higher percentage of red paint (76.47%) compared to Isaiah's paint (70%).

Therefore, based on the percent of red paint, Casho's purple paint will be redder than Isaiah's.

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Answer:

50.41 feet

Step-by-step explanation:

Hypotenuse = length of ladder

31 = opposite side of angle

sin(angle) = (opposite)/(hypotenuse)

sin(78) = (36)/(hypotenuse)

hypotenuse = sin(78)/ (36)

hypotenuse = 50.41 feet

length of ladder = 50.41 feet

The inequalities for the given word problems are:

g) p/q ≤ 6

h) 1/w ≥ 9

Inequality word problems are statements or words used to describe specific inequalities.

g) We are told that the quotient of p and q is at most 6. Thus, it is a maximum of 6. Therefore, we can write the inequality as:

p/q ≤ 6

h) We are told that the reciprocal of w is at least 9. Thus, the inequality is expressed as:

1/w ≥ 9

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Answer:  

I think the answer is -3/4

Step-by-step explanation:

Let x = a number

(2x)(5) = 9x - (3/4)

10x = 9x - (3/4)

Subtract 9x on both sides of equation.

x = -3/4

Answer:

221.0 m

Step-by-step explanation:

First, find x using trigonometric ratio formula:

Reference angle = angle of depression = angle of elevation = 64°

Opposite side length = 142 m

Adjacent side length = x

Thus:

tan(64) = 142/x

x*tan(64) = 142

x = 142/tan(64)

x = 69.3 (nearest tenth)

Next, find distance from top of the hill to the buoy using Pythagorean Theorem.

Let the distance be y.

We would have:

y² = 142² + (69.3 + 100)²

y² = 20,164 + 28,662.49

y² = 48,826.49

y = √48,826.49

y = 221.0 m (nearest tenth)

Step-by-step explanation:

This is basically an inscribed angle in a circle which encompasses twice as many degrees of arc (246) as the angle measure : angle 3 = 123 degrees