Shana, who lives in Canada, and Pearl, who lives in Pennsylvania, were discussing the weather. Shana complained about the cold temperature of Negative 20 degrees Celsius. Pearl, who lives in Pennsylvania, mentioned that her temperature was the opposite of Shana’s. Which is the correct way to represent “the opposite of Shana’s temperature is equal to Pearl’s”?

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.

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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To solve 3 composite functions, you would need to break each function down into its individual components. Then, you would need to combine each component one at a time, starting with the outermost function and working your way inwards.

1. Break each function down into its individual components. This may involve splitting them into simpler functions such as polynomials, exponentials, trigonometric functions, and so on.

2. Start with the outermost function and combine each component one at a time. Make sure to apply the order of operations to each step in order to get the correct result.

3. Evaluate the combined function. This means solving for the output of the function, which may involve plugging in values for certain variables.

4. Repeat the same process for the other two functions.

5. When you have evaluated all three functions, you can combine the results of each to get the answer to the composite functions.

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Answer:

Step-by-step explanation:

[tex]\sqrt{61}[/tex]

Answer:

11. ∠5 and ∠7 are corresponding angles

12. ∠1 and ∠8 are alternate exterior angles

13. ∠3 and ∠6 are alternate interior angles

14. ∠6 and ∠7 are consecutive interior angles.

15. ∠1 = 58

    ∠2 = 122

    ∠3 = 58

    ∠5 = 122

    ∠6 = 58

    ∠7 = 122

    ∠8 = 58

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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:

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,.....,∞

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)

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.

Answer:

So I would say when the number of classes is lower fishing is less expensive and when the number of canoeing classes is lower it's less expensive

Step-by-step explanation:

You have to make sure to pay attention to the label and the points in the graph and the table

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:

denominator - 6234 is math

Step-by-step explanation:

Answer:

Means to Multiply

Step-by-step explanation:

34% times 60

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:

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

Answer:

16 lawns

Step-by-step explanation:

set up a proportion:

(4/5 ÷ 1) = (x÷20)

cross-multiply:

5x = 80

x = 16

Kate can mow lawns at a constant rate of 16 lawns in 20 hour.

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Kate can mow lawns at a constant rate of 4/5 lawns per hour.

Now,

Since, Kate can mow lawns at a constant rate of 4/5 lawns per hour.

Hence, In 20 hours;

Kate can mow lawns = 20 × 4/5

                                 = 16 lawns

Thus, Kate can mow lawns at a constant rate of 16 lawns in 20 hour.

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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:

the answer is C I hope you got this answer

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

Step-by-step explanation:

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: x4 2x 3 is 126x power of 3 + 5

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: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

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]

Answer: -2/3x is the slope and the beginning amount is 5 so the equation would be -2/3x+5.

Step-by-step explanation:

Once you find the slope using the formula rise/run you will get 2/3 but since the slope is going downwards it would be -2/3 which gives you the mx. Now to find the beginning amount look where the line intersects the graph which will give you the equation.

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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The variable in 2x + 3 = 7 is x because rest 2, 3 and 7 are constant terms only x is the variable.

The meaning of such an equations in algebra is just a mathematical expression stating the equality between two mathematical terms. For instance, 6x + 5 = 11 is an equation where 6x + 5 and 11 are two expressions separated by the 'equal' sign.

Identity equations and conditional equations are the two types of equations. For just any value of both the variables, an equality remains true. Only such variables have values that make a condition expression true. Two expressions joined by an equals sign ("=") form an equation.

The variable in 2x + 3 = 7 is x because rest 2, 3 and 7 are constant terms.

if we solve the above equation, we get

2x + 3 = 7

or, 2x = 7 - 3

or, 2x = 4

or, x = 2

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Answer:

Look at my in the photo

Step-by-step explanation: