What is the simplified form of this expression?

(-3x2 + 2x − 4) + (4x2 + 5x + 9)


7x2 + 7x + 5

x2 + 7x + 5

x2 + 7x + 13

x2 + 11x + 1

Answer:

The answer is (4x² - 36x + 81)

Step-by-step explanation:

So,

(2x - 9)² = (2x)² - 2(2x)(9) + (9)²

(2x - 9)² = 4x² - 36x + 81

Thus, The product of (2x - 9)² is (4x² - 36x + 81)

When two rotations are performed on a single figure, the order of the rotations never affect the location of the final image.

In mathematics, rotation is defined as that of the circular movement of an object around with a center, an axis, or a fixed point. Since rotations are rigid transformations, the size, length, shape, and angle measurements of the figure are maintained.

Precession, nutation, and intrinsic rotation are the names of these rotations. The rotation of the earth on its axis is one of the greatest instances of rotation in nature.

There are broad guidelines for rotations of 90, 180, and 270 degrees around the origin that are both clockwise and anticlockwise. Counterclockwise. X and Y are rotated by 90 degrees that means (x , y) ----> (-y , x); Rotation of 180 degrees: (x, y) —- (-x , -y); Rotation of 270 degrees: (x, y) —- (y , -x).

Here two times rotation means 180 degrees that means no change in the final image.

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Answer:

5.6

Step-by-step explanation:

56% = 0.56

5.6 > 56%

Answer:

The intersection of the two intervals = 4, 5, 6,.......∞ = (4, ∞)

The union of the two intervals = -3, -2, -1, 0, 1, 2, 3, 4, 5,.....,+∞ = (-3, ∞)

Step-by-step explanation:

The given intervals are;

First interval  = (-3, ∞)

Second interval  = (4, ∞)

Using the number line, we therefore, the first interval includes, -3, -2, -1, 0, 1, 2, 3, 4, 5,.....,∞

The second interval includes 4, 5,.....,∞

Which gives the intersection as 4, 5, 6,.......∞

The union is the interval that combines the two sets of intervals which is given as follows;

The union of the two intervals = -3, -2, -1, 0, 1, 2, 3, 4, 5,.....,∞

The two statements that are true about the table are:

A) "The range is {15.80, 31.60, 43.45, 57.25} ."

B) "The set of independent values is {4, 8, 11, 15}."

Here we have the table for number of gallons and the costs of these:

g          c

4         15.80

8         31.60

11         43.45

15         57.25

The statements that are true about that table are:

"The range is {15.80, 31.60, 43.45, 57.25} ."

This is true, the cost is the output of the table, thus, the range is that.

"The set of independent values is {4, 8, 11, 15}."

This is also called the domain, which is the input, in this case, the number of gallons of gas.

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Answer: I can't answer that because it's not a question

Step-by-step explanation:

10. a. The sequence is arithmetic as the difference between the next term and the previous term is constant.

b. The 200th term of the sequence is 1382.

c. 100 is not a member of the sequence.

11. a. u₁ is even and d is also even.

b. u₁ is odd and d is even.

An arithmetic sequence is a set of numbers in which every no. next to the previous number has the same common difference

d = aₙ - aₙ₋₁ = aₙ₋₁ - aₙ ₋₂.

In a geometric sequence numbers are written in the same constant ratio(r).

It means every next number is a multiple of a common constant and the previous number.

r = aₙ/aₙ₋₁ = aₙ-₁/aₙ₋₂.

Given, u₁ = - 12 and uₙ₊₁ = uₙ + 7.

So,

u₂ = u₁₊₁ = - 12 + 7 = - 5.

Similarly, u₃ = - 5 + 7 = 2 and u₄ = 9.

So, The terms have a common difference o 7 and hence it is an arithmetic sequence.

We know, uₙ = u₁ + (n - 1)d.

Therefore, u₂₀₀ = u₁ + (200 -1)×7.

u₂₀₀ = - 12 + 199×7.

u₂₀₀ = - 12 + 1393.

u₂₀₀ = 1382.

Now, Determining whether 1000 is a member of the sequence.

Let, 1000 = - 12 + (n - 1)×7.

1012 = 7n - 7.

1019 = 7n, Here is not completely divisible hence 1000 is not a member of the sequence.

11. When all the terms of an AP is even the first term u₁ is even and the common difference would also be even and when all the terms of an AP are odd the first term u₁ would be odd and the common difference d would e even, as odd - odd = even.

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Answer:

denominator - 6234 is math

Step-by-step explanation:

Answer:

13.7

Step-by-step explanation:

[tex]x^2 + 30^2 = 33^2[/tex]

[tex]x^2 + 900 = 1089[/tex]

[tex]x^2 = 189[/tex]

[tex]x = \sqrt{189}[/tex]

[tex]x = 13.7[/tex]

As per the zeros of the function, the value of the function 3x + 1 is  x = -1/3.

Zeros of the function in math is defined as the values of the variable of the function such that the function equals 0.

Here we have given the function 3x + 1.

Now, we have to equate the function with zero, in order to solve it, then we get,

=> 3x + 1 = 0

Now, we have to subtract 1 on both sider to individualize the x value then we get the rewritten expression as,

=> 3x = -1

Now, we have to divide each side by 3, then we get the value of x as,

=> x = -1/3

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Answer:

$24,893.40

Step-by-step explanation:

Year 1

50,000 x 0.16 =  8,000

50,000-8,000 = 42,000

Year 2

42,000 x 0.16 = 6,720

42,000-6,720 = 35,280

Year 3

35,280 x 0.16 = 5644.80

35,280-5644.80= 29,635.2

Year 4

29,635.2x0.16 = 4,741.6

29,635-4,741.6 = $24,893.40

Answer:

I think I got the answer. See picture attached : )! Also sorry if my handwriting is bad! I hope this gives you a better understanding,have a good day!

Answer:

Look at my in the photo

Step-by-step explanation:

b = $3.5 the cost of each pound of jelly beans.

a = $1, the cost of each pound of almonds

What is the elimination method?

The elimination approach involves taking one variable out of the system of linear equations by utilizing addition or subtraction together with multiplication or division of the variable coefficients.

Here,

We let a be the almond and b be the jelly bean.

5a + 2b = $12....(1)

3a + 8b = $31....(2)

...Solving by elimination method.

5a = 12 - 2b

a = (12 - 2b)/5

Now, we put the value of a in equation(2)

3a + 8b = $31

3(12 - 2b)/5 + 8b = 31

(36 - 6b)/5 + 8b = 31

36 - 6b + 40b = 155

34b = 155 - 36

34b = 119

b = $3.5 the cost of each pound of jelly beans.

a = $1, the cost of each pound of almonds.

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Answer:

b

Step-by-step explanation:

The standard error of the distribution of sample proportions is 0.084

The correct option is (B).

Standard error is calculated by dividing the standard deviation of the sample by the square root of the sample size.

Given:  population parameter: 0.7, n=30

Standard error:  √[p (1 - p) / n]

= √[0.7 (1 - 0.7) / 30]

=  √[0.7*0.3 / 30]

=  √0.21 / 30

= √0.007

=0.0836

=0.084

Hence, the standard error is 0.084.

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The value of a variable from one equation is substituted in the other equation when using the substitution method.

The graphic approach and the algebraic method are the two main categories into which simultaneous linear equations can be solved. One of the categories of the algebraic approach is the substitution method. The algebraic approach to solving simultaneous linear equations is known as the substitution method. The value of one variable from one equation is substituted in the second equation in this procedure, as the name implies. By doing this, a pair of linear equations are combined into a single equation with a single variable, making it simpler to solve.

Steps for Substitution method:

Therefore in the Substitution method, The value of a variable from one equation is substituted in the other equation.

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Answer:

Means to Multiply

Step-by-step explanation:

34% times 60

Answer:

I believe the answer is 3

Step-by-step explanation:

because NO and KL are parallel, they have the same length which is 3 as given in the question description. We also know that KL and NM have the same length. Therefore, NM is also 3.

We can plot in the coordinate plane if an ordered pair is known to us.

The space or plane in where location of points is represented by a pair of numerical terms with respect to some reference lines or reference direction is called coordinate plane.

let we have some pair of numerical terms such as A (4, 9) and B (6, 10)

that is needed to plot in the coordinate plane.

At first, we will plot the point A (4, 9)

we will start from the origin and move horizontally along the direction of X axis up to 4 unit. In the next, start again and move up vertically in the direction of y axis up to 9 unit. And we will draw a point at the final location.

By the same way, we can plot the point B.

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Answer:320

Step-by-step explanation:

for any square or rectangle the formula for area is l*w means length times width so for this particular square the length is 16 and the width is 20 so multiply the two and you get 320 hope this helps

There are no solutions for the equation 3x106 3x12.

The equation 3x106 3x12 can be rearranged to 3x106 - 3x12 = 0. This is a linear equation and can be solved using the equation ax+b=0, where a is the coefficient of the variable and b is the constant.

In this case, a = 3 and b = -3x106. To solve this equation, we can use the quadratic formula, which states that x = -b ± √b2 - 4ac / 2a.

Substituting the values for a, b, and c yields x = -(-3x106) ± √(3x106)2 - 4(3)(-3x106)/2(3). Simplifying this yields x = 3x106 ± √9x1012 - 36x1012/6.

This simplifies to x = 3x106 ± √-27x1012/6. Since the square root of a negative number is not a real number, this equation has no real solutions. Therefore, there are no solutions for the equation 3x106 3x12.

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Answer:

[tex]\huge\boxed{Que \ es \ un \ variable \ ?\hookleftarrow}[/tex]

✐ En matemáticas, una variable es un símbolo que funciona como marcador de posición para expresiones o cantidades que pueden variar o cambiar; se utiliza a menudo para representar el argumento de una función o un elemento arbitrario de un conjunto. Además de los números, las variables se utilizan comúnmente para representar vectores, matrices y funciones.

Answer:

Choice B. 2395.83 cm^3

Step-by-step explanation:

V = [tex]\frac{lwh}{2}[/tex] = [tex]\frac{(25)(12.5)(23)}{2}[/tex] = 2395.83333 = 2395.83cm^3

Answer:

oki! hope this explanation will help you! my last answer was deleted sooo...

Step-by-step explanation:

To find the volume of the pyramid, the formula is 1/3 x height x base

In this case...

the height:23 cm

the base:312.5 [tex]cm^{2}[/tex]

and the equation is 1/3 x 23 x 312.5

which will be 2395.8333333(and more 3!)

We round it in the hundreths place and get 2395.83(aka option B) as the answer!

The equation of line passing through (-9,-10) and(7,-3) will be y = (7/16)x - 1

Slope is a measure of the steepness of a line, and it is also known as the "gradient." It is a ratio of the vertical change (rise) to the horizontal change (run) between two points on a line. It is often represented by the letter "m" in the slope-intercept form of a linear equation, y = mx + b, where m is the slope and b is the y-intercept (the point where the line crosses the y-axis).

The formula to find the equation of a line given two points is:

y - y1 = m(x - x1)

where (x1,y1) and (x2,y2) are the coordinates of the two points on the line, and m is the slope of the line, which can be calculated using the formula:

m = (y2 - y1) / (x2 - x1)

m = (y2 - y1) / (x2 - x1)

where (x1,y1) and (x2,y2) are the coordinates of the two points.

so the slope m = (-3 - (-10)) / (7 - (-9)) = 7/16

We can use point slope form to get the equation of the line passing through the two points:

y - y1 = m(x - x1)

so the equation of the line is y - (-10) = (7/16)(x + 9)

=> y = (7/16)x + (-10) + (9 * 7/16)

=> y = (7/16)x - 1

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Answer:

Option B

Step-by-step explanation:

Given quadratic equation is,

12a² + 9a + 7 = 0

By comparing this equation with standard quadratic equation,

hx² + kx + c = 0

h = 12, k = 9 and c = 7

By using quadratic formula,

a = [tex]\frac{-k\pm\sqrt{k^2-4hc}}{2h}[/tex]

  = [tex]\frac{-9\pm\sqrt{9^2-4(12)(7)}}{2(12)}[/tex]

  = [tex]\frac{-9\pm\sqrt{81-336}}{2(12)}[/tex]

  = [tex]\frac{-9\pm\sqrt{-255}}{24}[/tex]

  = [tex]\frac{-9\pm i\sqrt{255}}{24}[/tex]

a = [tex]\frac{-9+ i\sqrt{255}}{24},\frac{-9- i\sqrt{255}}{24}[/tex]

Therefore, Option B will be the correct option.

The length of each of the four walls of the birdhouse is 5.5 inches, so the total length of all four walls is approximately 4 x 5.5 = 22 inches. Therefore, Javi's board is long enough to be cut into the four walls of the birdhouse.

Walls. Utilize the conventional equation Length x Width = Area to get the area of a wall. Next, apply the same calculation to each window and door's specific area. Subtract the area of the windows and doors from the overall size of the wall once you have recorded all of these dimensions.

The birdhouse must have four walls that are each 5.5 inches thick.

one room needs four walls because of the length of its four walls.

4*5.5=22

A board measuring 24.5 inches long is in Javi's possession. In order to cut through the birdhouse's four walls, it is sufficient.

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Step-by-step explanation:

a line passing through 2 points get a slope just by these 2 points.

all we can do is to verify that the given slope is the same as the slope defined by the 2 points.

the slope is the ratio

y coordinate change / x coordinate change

when going from one point on the line to another.

for our 2 points that gives us

x changes by + 2 (from 2 to 4).

y changes by -2 (from -7 to -9).

the slope is therefore

-2/+2 = -1

the question asks for a slope of -5.

that is a contradiction. there is no line possible to pass through both points and have a slope of -5.

Answer:

C = 10

Step-by-step explanation:

Find the last side of the triangle using the Pythagorean theorem.

[tex]a^{2} +b^{2} =c^{2}[/tex]

You have a and b already, a = 6, b = 8

[tex]6^{2} +8^{2} =c^{2} \\\\[/tex]

solve this to get

[tex]64 + 36 = \sqrt{100}[/tex]

C = 10

Apply the same to the other 2 triangles. C is your longest side!

Answer:

A=0 B=2/3 C= 1/4 D=1/6 E=1/12 F=1

Step-by-step explanation:

P means the probability

A there is no 0 so the p will be 0

B there is 8/12 odd numbers so simplified is 2/3

C  there are 3/12 3s so simplified is 1/4

D there are 2/12 2s so simplified is 1/6

E there is 1/12 1s

F all numbers are less than 6