Use the grouping method to factor the polynomial below completely.
+3 - 4x² + 3x - 12

Answer:

$21.85

Step-by-step explanation

the equation would be

4.95b+3.50c

b= the number of books (3)

c= the number of candles (2)

plug in the numbers

4.95(3)+3.50(2)=21.85

Answer:

21.85

Step-by-step explanation:

(4.95×3)+(3.50×2)

Answer: 3

step-by-step example:■ The 24th value of the sequence (a24) is 501

■ Sample of the first ten numbers in the sequence: 18, 39, 60, 81, 102, 123, 144, 165, 186, 207

■ Sum of all numbers until the 24th: 6228

■ The mean value of the series: 259.5

■ Standard deviation: 145.3659

Answer:

x = 3.5; perimeter = 59; area = 8

Step-by-step explanation:

isosceles means the two legs equal each other so use same expression later on

6x + 8 = 2x - 6

6x - 2x = -8 - 6

4x = -14

x = 3.5

plug x value in the first expression to find the two sides that are equivalent to each other

6(3.5) + 8

21 + 8

29

plug x value into the second expression (the base)

2(3.5) - 6

7 - 6

1

perimeter = side 1 + side 2 + side 3

perimeter = 29 + 29 + 1

perimeter = 59

area = base × height/2 or bh/2

first plug in x value into height expression

4x + 2

4(3.5) + 2

14 + 2

16

area = 1 × 16/2

area = 16/2

area = 8

Answer: 9.6 N

Step-by-step explanation:

Hey there!

Pressure = 16

Area = 0.6

Force = pressure × area

Force  = 16 × 0.6 = 9.6N

A woman must weigh 9.6N if the pressure exerted while standing on one foot has an area of 0.6m square exerts a pressure of 16 Pascal.

~I hope I helped you! :)~

Answer: ALEKS LINEAR EQUATIONS AND INEQUALITIES

h-23=63  

Step-by-step explanation:

We must translate this sentence into an equation.

Helena's age decreased by 23 is 63.

The words decreased by tell us to subtract.

In particular, Helena's age decreased by 23 means −h23.

The word is means equals.

So we get the following.

h-23=63

If Helena's age decreased by 23 is 63 and the variable h represents Helena's age. The condition followed by the equation will be,h-23 = 63.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

It is given that, Helena's age decreased by 23 is 63.

In mathematics, subtraction is defined as the difference between two quantities. The application of subtraction can be used broadly in different applications to find or solve the problems such as finding differences between two quantities and many more.

If the variable h represents Helena's age. The condition followed by the equation will be,

h-23 = 63

Thus, if Helena's age decreased by 23 is 63 and the variable h represents Helena's age. The condition followed by the equation will be,h-23 = 63.

Learn more about the arithmetic operation here:

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a. The areas of the square is 81m² and for rectangle is 72m²

b. The perimeter of the square is 40m

a. To determine the area of the shapes in which we have that have a perimeter of 36m, we can consider rectangle and square.

For a square;

Perimeter of square = 4L

36 = 4L

L = 9m

The area of the square will be L² = 9² = 81m²

For a rectangle;

The perimeter of rectangle is;

P = 2(L + W)

We can assume that two numbers which will represent the length and width are;

L = 12m, W = 6m or L = 6m, W = 12m

A = 12 * 6 = 72m²

b.

The area of the wire is 100m², the perimeter for this can be calculated when we consider square and rectangle;

Perimeter of square = 4L

Area of square = L² = 100m²

L = 10m

The perimeter of the wire is 4(10) = 40m

Learn more on perimeter and area of rectangle and square here;

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Answer:

Angle RSP and Angle TSU.

Step-by-step explanation:

These angles are across from each other, which is what vertical angles are.

Answer:

[tex]4\sqrt{7}a^3[/tex]

Step-by-step explanation:

[tex]\sqrt{112a^6} \\\\\mathrm{Apply\:radical\:rule\:}\sqrt[n]{ab}=\sqrt[n]{a}\sqrt[n]{b}\\\\=\sqrt{112}\sqrt{a^6}\\\\=4\sqrt{7}\sqrt{a^6}\\\\\mathrm{Apply\:exponent\:rule}:\quad \:a^{bc}=\left(a^b\right)^c\\\\a^6=a^{3\times\:2}=\left(a^3\right)^2\\\\=4\sqrt{7}\sqrt{\left(a^3\right)^2}\\\\\mathrm{Apply\:radical\:rule\:}\sqrt[n]{a^n}=a\\\\\sqrt{\left(a^3\right)^2}=a^3\\\\=4\sqrt{7}a^3[/tex]

Answer: 34

Step-by-step explanation: you would have to add 14 to the other side. In math you have to do the opposite to cancel out sides. So to cancel -14 you would have to add 14 to -14 (making it zero) and 20 (making it 34)

Im bad at explaining but I hope you now kindof get it

Answer:

N = 6

Step-by-step explanation:

1.) 1n - 14 = 20

Instead of just having "n" put a 1 in front of it just to help

Subtract 14 on both sides

2.) 1n = 6

divide 1 on both sides

3.) N = 6

Best of luck

Answer:

268

cause 20 % off of each then added = 268

Answer:

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

Step-by-step explanation:

point slope form

y = y0 + m(x - x0).

m is the slope

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

     ( 7-5)/(6-9)

   2/-3

 =-2/3

The slope is -2/3

Using the point (9,5)

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

Answer:

[tex]y=5-\frac{2}{3}(x-9)[/tex]

Step-by-step explanation:

We are given that the line passes through the two points (9, 5) and (6, 7).

And we want to find the equation of the line in point-slope form:

[tex]y=y_0=m(x-x_0)[/tex]

First, let's find the slope. The slope is given by the formula:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Let's let (9, 5) be (x₁, y₁) and let (6, 7) be (x₂, y₂). Substitute these values into the slope formula:

[tex]m=\frac{7-5}{6-9}[/tex]

Subtract:

[tex]m=2/-3[/tex]

Simplify:

[tex]m=-2/3[/tex]

So, our slope is -2/3.

Note, we can use the point-slope form. Notice that we also need an (x₀, y₀).

We can use either of our two known points. So, let's let (9, 5) be (x₀, y₀).

Substitute 9 for x₀, 5 for y₀, and -2/3 for m yields:

[tex]y=5-\frac{2}{3}(x-9)[/tex]

And we're done!

Answer:

x = 8

Step-by-step explanation:

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. First, multiply 12 and x to both sides of the equation:

(3/12)(12)(x) = (2/x)(12)(x)

3 * x = 2 * 12

3x = 24

Isolate the variable, x. Divide 3 from both sides of the equation:

(3x)/3 = (24)/3

x = 24/3

x = 8

x = 8 is your answer.

~

Step-by-step explanation:

the answer to this question is 2/8, x is 8

in order to do this proportion, you have to

1.Cross multiply:

3 * x = 12 * 2

2.

Simplifying

3 * x = 12 * 2

3.

Multiply 12 * 2

3x = 24

4.

Solving

3x = 24

5.

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

6.

Divide each side by '3'.

x = 8

7.

Simplifying

x = 8

meaning that 3/12 = 2/8

Answer:

the answer is   9.879

Answer:

We know that the shaded region is the area of intersection of the areas below/above the 2 lines

We will first find the equation of the increasing line using the slope-intercept formula

We can see that it intersects the y-plane at y = 4

Hence, it's y-intercept is 4

Now we will find the slope of the line:

Since the slope of a line is given by the formula slope = rise/run

since the rise of this line is equal to its run,

we can say that the slope of this line is 1

Equation of line 1:

ignoring the inequalities and using the slope-intercept formula, we get

y = x + 4

Now, we will talk about the inequality symbol

We know that the shaded area on the graph is the intersection of the inequalities

Since the shaded area is under the line, the area of this inequality is under the line, which means the area covers values which are lower than the value of the line

Hence, we can say that there will be a less-than (<) sign

We can also see that the line is not dotted, this means that the values of the   inequality include the values on the line

Which means that instead of a less-than (<) sign, we will have a less-than or equal-to sign (≤)

Which means that the equation of line 1 will be:

y ≤ x + 4

Now on to the next line:

We can see that the y-intercept of this line is y = 1

Now, finding the slope:

Slope = Rise / Run

We notice that the rise = run = 1

Hence, slope of line 2 is also 1

but since this line is going down, its slope will be negative

Slope = -1

Equation of line 2:

Ignoring the inequality, the equation of this line according to the slope-intercept formula the equation of this line will be:

y = -x + 1      OR      y = 1 - x

Now, we will talk about the inequality symbol:

We know that the area on the graph is the area of intersection of the areas of both the lines

Since the area of intersection is above this line,

we know that there will be a greater-than (>) sign

We also see that the line is not dotted, which means that the values on the line are also included in the area of the inequality

Which adds an equal-to to the sign

Hence, the symbol of inequality for line 2 is greater-than or equal-to (≥)

Therefore the equation of line 2:

y ≥ 1 - x

Finally, the 2 equations in this system of inequality are:

y ≥ 1 - x       and         y ≤ x + 4

Answer:

geometric

Step-by-step explanation:

The sequence is geometric. In a geometric sequence, the ratio between any two consecutive terms is constant. In this sequence, the ratio between any two consecutive terms is 1.2, which is constant. Therefore, the sequence is geometric.

Here is the proof:

480/400 = 1.2

576/480 = 1.2

691.2/576 = 1.2

829.44/691.2 = 1.2

As you can see, the ratio between any two consecutive terms is always 1.2. Therefore, the sequence is geometric.

Answer:

do you expect me to flip sideways just to help you cheat on ur homework

Step-by-step explanation:

Answer:

1/16 or 0.0625

Step-by-step explanation:

Divide 20 by 320 and you get 1/16 or 0.0625

Answer:

4/8

Step-by-step explanation:

You add 3 and 1 thats 4 then you add 5 and 3 and thats 8

please mark brainliest

Answer:

4/8

Step-by-step explanation:

pretty sure because I'm pretty sure that's the correct answer

Answer:

794 it's letter A. I don't really know if it's really right

Answer:Gross pay is what the employee makes before taxes.

Net pay is what the employee actually takes home.

Step-by-step explanation:

Answer:

it is 1-2 the second one

explanation:

give me brainiest i answered it

Answer:

Commutitave property of addition

Step-by-step explanation:

Answer: Commutative Property of Addition

Explanation: The Commutative Property of Addition states that numbers can be added in any order and you will get the same result.

Answer:

Step-by-step explanation:

Three or more points that lie on the same line are collinear points.

I have highlighted the points so you can see where they lay on the lines. You can see only one set of points is on 2 different lines.

Please mark Brainliest when able.

Answer:

c. Angle- Angle Similarity theorem

Answer:

97.6

Step-by-step explanation:

you multiply 24.4 and 4 to get your answer

Answer:

Yes it is correct

Step-by-step explanation:

Answer:

yes its correct

Whole numbers are located at the right side of the number line .

0 is the smallest whole number

negative numbers are not whole numbers

Hope that helped

Step-by-step explanation:

Answer

His new position is 3.75 meters 12.25-8.5=3.75 her new position is 20ft 9 1/2 +10 1/2=20

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

You could easily put this in a calculator!

Answer:

Step-by-step explanation:

9^1/2 = √(9) = 3