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Answer:

the last option: 6x^3 -33x^2 +45x - 6

Step-by-step explanation:

Distribute parentheses

= 3x times 2x^2 + 3x (-7x) +3x times 1 -6 times 2x^2 -6 (-7x) -6 times 1

Simplify

3x times 2x^2 +3x (-7x) +3x times 1 -6 times 2x-2 -6 (-7x) -6 times 1

Answer:

6x^3 -33x^2 +45x - 6

Answer:

a and b

Step-by-step explanation:

for A just do 3*4

For B just find out what 36*4 is

Answer:

The fraction can be written as 43/50

Step-by-step explanation:

Place the Percentage Value at the top over 100.

= 86/100

On reducing the fraction, we get the exact form: 43/50

Answer:

43/50

Step-by-step explanation:

Place the Percentage Value at the top over 100.

= 86/100

On reducing the fraction, we get the exact form: 43/50

Answer:

Step-by-step explanation:

Option A

Option B

Option C

Option D

Factoring an expression involves rewriting the expression in simpler forms

The factorized expressions are [tex]9a^4b^{10}(4 - 9a^{12}b^{10})[/tex] and [tex](6a^2b^5 - 9a^8b^{10})(6a^2b^5 + 9a^8b^{10})[/tex]

The expression is given as:

[tex]36a^4b^{10} - 81a^{16}b^{20}[/tex]

Factor out the common factors

[tex]9a^4b^{10}(4 - 9a^{12}b^{10})[/tex]

The expression is given as:

[tex]36a^4b^{10} - 81a^{16}b^{20}[/tex]

Rewrite as a difference of two squares

[tex](6a^2b^5)^2 - (9a^8b^{10})^2[/tex]

Express as difference of two squares

[tex](6a^2b^5 - 9a^8b^{10})(6a^2b^5 + 9a^8b^{10})[/tex]

Hence, the factorized expressions are [tex]9a^4b^{10}(4 - 9a^{12}b^{10})[/tex] and [tex](6a^2b^5 - 9a^8b^{10})(6a^2b^5 + 9a^8b^{10})[/tex]

Read more about factorized expressions at:

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Answer: 30

Step-by-step explanation:

Let the middle number = x. Then the three consecutive numbers are x - 1, x, and x + 1.

Therefore, x - 1 + x + x + 1 = 93

3x = 93

x = 31.

The smallest of the 3 numbers is x - 1 = 31 - 1 = 30

Answer:

12.75

Step-by-step explanation:

The first number, 51, is called the dividend.

The second number, 4 is called the divisor.

Answer:

go throw it get it try your best

Step-by-step explanation: you can do it

Let other 2 angles be d

44 + 2d = 180°

(sum of triangle)

2d = 180 -44

2d = 136

d = 136/2

d = 68

x = 68 + 44 (exterior angle is equal to sum of interior opposite angles)

x = 112°

l

2. part

let the other angles be d

3d = 180° (sum of angles of triangle)

d = 60°

x = 60 + 60

x = 120°

Answer:

Step-by-step explanation:

Find the equation of AB using the coordinates of the endpoints:

Find the slope:

Use one of the points and point-slope equation to get the line:

Now find the y - coordinate of F when x is 5:

Part B can't be solved as the picture is unclear

Answer:

41.6 or 42

Step-by-step explanation:

1% of 160 is 1.6. now if you do 1.6 x 26(1% of 160 26 times)= 41.6. or you can round up to 42.

Answer:

Its 38.4

Step-by-step explanation:

Answer:

Step-by-step explanation:

x = 20%

y = 3/4 x 64

= 16 x 3

= 48

answer is

Step-by-step explanation:

x = 20%

y = 3/4 x 64

= 16 x 3

= 48

Answer:

A. 500 m x 250 m

Step-by-step explanation:

Answer:

the answer is A.

Step-by-step explanation:

I took the test, heheh. sorry, I don't actually have an explanation.

Expressions are mathematical statements without the equation sign

The possible integer values of q, r, and z are 3, -4 and -1

The expressions are given as:

x^2 + zx - 12

(x + q)(x + r)

Both expressions are equal.

So, we have:

[tex]x^2 + zx - 12 = (x + q)(x + r)[/tex]

Expand

[tex]x^2 + zx - 12 = x^2 + (q + r)x + rq[/tex]

By comparison, we have:

[tex]q + r = z[/tex]

[tex]rq = -12[/tex]

Assume that q = 3.

So, we have:

[tex]3r = -12[/tex]

Divide by 3

[tex]r = -4[/tex]

Recall that:

[tex]q + r = z[/tex]

So, we have:

[tex]z = 3 -4[/tex]

[tex]z = -1[/tex]

Hence, the possible integer values of q, r, and z are 3, -4 and -1

Read more about expressions at:

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Answer:

1. 8.2

2. 6*8.2 = 49.2

Compose the quadratic condition in standard shape, ax2 + bx + c = 0. Recognize the values of a, b, c. Write the Quadratic Equation. At that point substitute within the values of a, b, c. Simplify. Check the arrangements.

Answer:

D. 2 ≤ x ≤ 5

The domain is the x values of the graph.

       Here, we have points with x values at 2 and 5. Since the function stays within these two points, our domain is;

D. 2 ≤ x ≤ 5

We always use the y values as the range of a function on a graph while x values gives us the Domain . So , by looking at the above graph we can say that , [tex]{\pmb{\bf x \in [2,5]}}[/tex] or can further written as [tex]{\bf 2\leq x\leq 5}[/tex] .

Henceforth , Option D) [tex]{\bf 2\leq x\leq 5}[/tex] is correct

Answer:

10.5%

Step-by-step explanation:

.105 x 200 = 21

By solving given equation and then finding discriminant we get that this system of equations have 2 solutions

Collection of two or more equations with a same set of unknowns is called system of equations.

Given equation

[tex]$$y=-2 x+2\ \ ...(1)\\\\y=x^{2}-3 x$$\ \ \ ...(2)[/tex]

From equation (1) and (2)

[tex]x^{2}-3 x=-2 x+2\\\\x^{2}-3 x+2 x-2=0\\\\x^{2}-x-2=0[/tex]

This is a quadratic equation

So discriminant

[tex]D=b^2-4ac[/tex]

[tex]D=(-1)^2-4(1)(-2)\\D=1+8\\D=9[/tex]

As D is >0 so we will get two values of x

and two values of y corresponding to values of x

By solving given equation and then finding discriminant we get that this system of equations have 2 solutions

To know more about quadratic equations visit: https://brainly.com/question/2263981

Answer:

a - b

Step-by-step explanation:

Assuming you mean:  [tex](a^\frac12-b^\frac12)(a^\frac12+b^\frac12)[/tex]

Apply Difference of Two Squares formula [tex](a-b)(a+b)=a^2-b^2[/tex]:

[tex]\implies (a^\frac12-b^\frac12)(a^\frac12+b^\frac12)=(a^\frac12)^2-(b^\frac12)^2[/tex]

Apply the exponent rule [tex](a^b)^c=a^{bc}[/tex] :

[tex]\implies (a^\frac12)^2-(b^\frac12)^2=a^1-b^1=a-b[/tex]

Answer: 6

Step-by-step explanation:

2 free books7 purchased books=? free books21 purchased booksCompare the denominators.2 free books7purchased books=? free books21purchased booksTo get from 7 to 21, multiply by 3. Multiply the numerator and denominator by 3 to find the number of free books Larry got.2 free books37 purchased books3=6free books21 purchased booksLarry got 6 free books

Answer: $12.27

Step-by-step explanation:

She spent a total of $15.56

Vegetables cost $12.27

Milk cost $3.29

Subtract the total bill by the amount of the milk and you have the total for the vegetables which is $12.27

Answer: 5sqrt(35)

Step-by-step explanation:

If the ratio of the side lengths is 1:4, since the ratio of the areas is the square of the ratio of the side lengths, the ratio of the areas is 1:16.

This means the area of square ABCD is 14000/16 = 875.

Therefore, AB=sqrt(875)=5sqrt(35).

Answer:

0.95

Step-by-step explanation:

The points after the decimal place are SF (significant figures/digits)

Answer:

0.6

Step-by-step explanation:

i hope this helps! have a wonderful rest of ur day :)

Answer:

0.6

Step-by-step explanation:

Answer:

It is either A or B           But I think/ Believe it is A

Step-by-step explanation:

Have a good day =)

The numbers are 20 and 28.

Step-by-step explanation:

Let the number be X and y,

X = 8 + y

4x = 6y - 8

Now,

4x = 6y - 8

or, 4(8 + y) = 6y - 8

or, 32 + 4y = 6y - 8

or, 32 + 8 = 6y - 4y

or, 2y = 40

so, y = 20

now,

X = y + 8 = 20 + 8 = 28