Multiply.
(x - 2)(x + 3)

Answer:

[tex] \displaystyle{ y= - \dfrac{ 3}{2} x+ 1}[/tex]

Step-by-step explanation:

Slope-intercept is in form of y = mx + b where m is slope and b is y-intercept. We simply solve for y in term of x and then we will obtain the slope-intercept form.

Given the linear equation:

[tex] \displaystyle{3x + 2y = 2}[/tex]

First, subtract both sides by 3x:

[tex] \displaystyle{3x + 2y - 3x= - 3x + 2} \\ \\ \displaystyle{2y = - 3x + 2}[/tex]

Then divide both sides by 2:

[tex] \displaystyle{ \dfrac{2y}{2} = \dfrac{ - 3x + 2}{2}} \\ \\ \displaystyle{ y = \dfrac{ - 3x + 2}{2}}[/tex]

Separate fractions (Simplify):

[tex] \displaystyle{ y= \dfrac{ - 3x}{2} + \dfrac{2}{2}} \\ \\ \displaystyle{ y= - \dfrac{ 3}{2} x+ 1}[/tex]

And we have finally converted the equation to slope-intercept form.

Answer:

triangle isn't right angled

Step-by-step explanation:

For a right tangled triangle :

Length of the longest side, hypotenus is given by :

Hypotenus = √(opposite² + adjacent ²)

From.the question :

Hypotenus = 11

Opposite and adjacent = 5 units and 6 units

Let's test :

Hypotenus = √(5² + 6²)

Hypotenus = √(25 + 36)

Hypotenus = √61 units

Hypotenus = 7.8

Hypotenus for a right angled triangle = 7. 8 units and not 11.

Hence, triangle isn't right angled

Answer:

9.06 units (3 s.f.)

Step-by-step explanation:

[tex]\boxed{distance \: between \: 2 \: points = \sqrt{(y1 - y2)^{2} + {(x1 - x2)}^{2} } }[/tex]

☆ (x₁, y₁) is the 1st coordinate and (x₂, y₂) is the 2nd coordinate.

Distance between (-1, -6) and (8, -7)

[tex] = \sqrt{[- 7 - ( - 6)]^{2} + [8 - ( - 1)]^{2} } [/tex]

[tex] = \sqrt{ {( - 7 + 6)}^{2} + (8 + 1) {}^{2} } [/tex]

[tex] = \sqrt{( - 1)^{2} + {9}^{2} } [/tex]

[tex] = \sqrt{1 + 81} [/tex]

[tex] = \sqrt{82} [/tex]

= 9.06 units (3 s.f.)

Answer:

es difícil verdad amigo

Answer:

5% × 12 = ?

5% × 12 =

(5 ÷ 100) × 12 =

(5 × 12) ÷ 100 =

60 ÷ 100 =

0.6

Step-by-step explanation:

can i have b

Answer:

0.6

Step-by-step explanation:

To find 10% of something, you move the decimal point to the left one space. We now have 1.2 = 10%. You can divide this by two to find 0.6, which would equal 5% of 12.

Hope this helps! Have a nice day :)

Answer:

750

Step-by-step explanation:

30/40 students dislike it from the sample, so 0.75

1000 x 0.75 = 750

Answer:

(x,y) = (7,2)

Step-by-step explanation:

Hope it helps

Answer:

(0,5),(2,6) these are the coordinates of the line.

Step-by-step explanation:

I hope this helps.

Therefore , the solution to the given problem of mean comes out to be  the sample size yields the equivalent number of households is 30.

Regardless of whether many elements are discrete or continuous, averages can only be calculated for numeric variables. You may find this by dividing the total number of values in the dataset by the total number of values in the dataset. It is possible to perform computations using either raw data or data that has been compiled into frequency tables. The average value in mathematics is obtained by adding up all the numbers in a set of data and dividing the total by the total number of numbers.

Here,

Given:

Mean = 2

Four pets are two standard deviations away from the mean, and one standard deviation equals one pet.

We can determine that at least

100 (1-1k2)% = 100 (1-1/4)% = 75%

is within 2 standard deviations of the mean using Chebyshev's Rule with

k = 2.

The percentage times the sample size yields the equivalent number of households:

=> 75% x 40 = 30

Therefore , the solution to the given problem of mean comes out to be  the sample size yields the equivalent number of households is 30.

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Answer:

1.36

1. Find the mean of all values. (3)

2. Find the distance of each value from that mean (subtract the mean from each value, ignore minus signs)

3. Find the mean of those distances.

Answer:1.36

Step-by-step explanation:

Answer: C) The mean will increase more than the median, but both will increase.

Step-by-step explanation:

I got it right already! :)

The solution is, The mean will increase more than the median, but both will increase.

[third option listed]

In statistics and probability theory, the median is the value separating the higher half from the lower half of a data sample, a population, or a probability distribution. For a data set, it may be thought of as "the middle" value.

here, we have,

the median of a data set is the number in the middle [when listed from lowest to highest in value]

1 2 3 4 5 6 7 8 9 10 11 12 13

is the current median

let's consider what adding 12 would mean--it would mean that we move the median slightly higher [further along in the data set] because there are more numbers (but let's try this out to confirm:)

1 2 3 4 5 6 7 8 9 10 11 12 12 13

[if a median placement is shared between two numbers, the mean/average of those two numbers is taken, and that is considered to be the median]

so, 7.5 is the current median

(this is an increase of 0.5)

the mean of a data set is what we commonly refer to as the "average"

[you find this value by adding all of the numbers in the data set together and dividing by the number of terms in the data set]

1 2 3 4 5 6 7 8 9 10 11 12 13

mean of original data set:

1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12 + 13 [= 91]

_______________________________________

                                   13

[91 ÷ 13 = 7]

because our number is greater than our original mean [12 > 7], we know that the mean must increase:

[91 + 12 = 103]

[103 ÷ 14 ≈ 9.36]

[we had an increase of 2.36]

so, median increased by 0.5, mean increased by 2.36

so, both values increased, whilst the mean increased by more than the median [as to be expected]

so, we get,

"The mean will increase more than the median, but both will increase." [third option listed]

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Answer:

Option A

Step-by-step explanation:

Min: 72

Q1: 83

Median: 89

Q3: 92

maximum: 94

Answer:

-4.3

Step-by-step explanation:

It is asking for the temperature at midnight so to find out what it is. We simply subtract the starting temperature of 11.4f from 15.7 degrees

( 11.4 - 15.7 ). That would leave us with -4.3f at night.

Answer:

what do you need there's no image or question

Answer:

answer is yes points thanks

Step-by-step explanation:

The unit rate of change of the proportional relationship is given as follows:

2.25.

The graph of the proportional relationship is given by the image presented at the end of the answer.

A proportional relationship is a linear function with an intercept of zero modeled as follows:

y = kx.

In which k is the constant of proportionality.

The input and output variables for this problem are given as follows:

The constant k, representing the unit rate, is obtained by the division of the output of the input from the table, hence:

k = 4.5/2 = 6.73/3 = 9/4 = 2.25.

Meaning that the function is defined as follows:

y = 2.25x.

The function is graphed for a domain of x ≥ 0, as the number of cups of sugar must be a countable, non-negative amount.

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Answer:

He scored an average of 4.8 points per minute.

Answer:

Step-by-step explanation:

3n3

we have to combine like terms

n5-n2 is n3 (dividing exponents means subtracting)

this could be 1/3 n3 or 3 n3

Answer:

a. [tex]m^{10}[/tex]

Step-by-step explanation:

The amount he estimated (11 gallons). 11 - 8.16 = 0.21 gallons.

Estimation is the process of making an educated guess about the value of something, such as a quantity, cost, or other measurement, based on the available information. It's used in many fields, including mathematics, engineering, economics, business, and project management. Estimation is an important skill which can help people make decisions and solve problems quickly.

Mr. Langley was away from his estimation by 0.21 gallons of paint. This is calculated by subtracting the total amount of paint he actually used (7.5 + 0.66 = 8.16 gallons) from the amount he estimated (11 gallons). 11 - 8.16 = 0.21 gallons.

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Answer:

A.(-2,4) and (11,-7) ...

I hope I'm correct

Answer:

20

Step-by-step explanation:

Answer:

600

Step-by-step explanation:

Step-by-step explanation:

0.40x = 35 ---> x = (35 /0.40) = 87.5

Step-by-step explanation:

x= -1

y= 2

r = √(-1)²+2² =√1+4=√5

sin a = 2/√5

cos a = -1/√5

tan a = 2/-1= -2

sec a = √5/-1 =-√5

csc a = √5/2

cot a = -1/2

Yes, N2 equal to Avogadro's number. The symbol for Avogadro's number is N₂

Avogadro's number is a fundamental constant of physics and chemistry, defined as the number of atoms, ions or molecules in one mole of substance. It is approximately 6.022 x 10^23 and is used in many calculations in chemistry and physics, such as the number of atoms in a sample of an element, the number of ions in a salt, or the number of molecules in a gas sample. The constant is named after Amedeo Avogadro, an Italian scientist who first proposed the concept in 1811.

Yes, Avogadro's number is defined as the number of atoms, ions or molecules in one mole of substance, and is approximately 6.022 x 10^23. The symbol for Avogadro's number is N₂.

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The expression equivalent to -3 - 3x -1x is 4 - 2x.

An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation. This math operation can be addition, subtraction, multiplication, or division. For example, x + y is an expression, where x and y are terms having an addition operator in between. In math, there are two types of expressions, numerical expressions - that contain only numbers; and algebraic expressions- that contain both numbers and variables.

To get to this you can combine like terms:

-3 - 3x - 1x = -3 - (3x + 1x)

= -3 - (4x)

= -3 - 4x

= -4x - 3

= 4 - 2x

Hence  4 - 2x is equivalent to -3 - 3x -1x

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Answer:

No.

Step-by-step explanation:

No because the dot is not in the area where BOTH red AND blue cover. It is only in the red area, not in BOTH red AND blue.

50 cm is the required perimeter of shape B.

A closed path that covers, encircles, or outlines a one-dimensional length or a two-dimensional shape is called a perimeter.

A circle's or an ellipse's circumference is referred to as its perimeter.

There are numerous uses in real life for perimeter calculations.

We must sum up the lengths of the rectangle's four sides in order to get its perimeter.

So, according to the given figures:

Shape A's circumference is 60 cm.

Let x cm be the length of each square.

The total length of shape A's free bounds is equal to 12x.

Consequently, 12x = 60.

x = 5 cm

Currently, the length surfaces of form B equal 10x.

Shape B's perimeter equals 10x.

= 10(5)

= 50 cm

Therefore, 50 cm is the required perimeter of shape B.

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Correct question:
Shape A and Shape B are each made from 5 identical squares.

The perimeter of shape A is 60cm. Work out the perimeter of Shape B

Answer:

A. 7.1 meters

Step-by-step explanation:

12 ÷ 360 = [tex]\frac{1}{30}[/tex]

C = Dπ = 68π

[tex]\frac{68π}{30}[/tex] = 7.120

Round down to 7.1

Answer:

It is

Step-by-step explanation:

Parralel Lines. Since they have the same opposite angles, they will never touch, being parallel