A bookstore sells 2 books for $22.50 which table represents the relationship between number of books and the total price

Answer: The answer is 10 feet of cable.

The statement that accurately describes what Marisol should do next is that Marisol should go back and group the terms in Step1 as (6x³– 22x²) – (9x – 33) and it can be determined by using the factorization method.

Marisol grouped the terms and factored the GCF out of the groups of the polynomial [tex]\rm 6x^3- 22x^2- 9x + 33[/tex].

To factor out the common GCF out of the group, the following steps should have been taken by Marisol.

Marisol grouped the terms and factored the GCF out of the groups of the,

To factor out the common GCF out of the group, the following steps should have been taken by Marisol following all the steps given below.

        [tex]\rm= 6x^3- 22x^2- 9x + 33\\\\= (6x^3-22x^2) - (9x-33)[/tex]

        [tex]= (6x^3-22x^2) - (9x-33)\\\\= 2x^2(3x^2-11) -3(3x-11)\\\\= (2x^2-3) (3x-11)[/tex]

Hence, The statement that accurately describes what Marisol should do next is that Marisol should go back and group the terms in Step1 as (6x³– 22x²) – (9x – 33).

For more details about Polynomial refer to the link given below.

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Answer:

120 cm^3

Step-by-step explanation:

1. 9 times 5 =45

2. 45 divided by 3 = 15

3. 15 times 8 = 120

The number of servings that can be obtained from the 20 oz of nuts is given by the number of 4s and 5s in 20.

Reasons:

The given recipe are;

1 cherry trail mix = 4 oz. of nuts + 3 oz. of dried cherries.

1 sunflower trail mix = 5 oz. of nuts + 2 oz. of sunflower seeds

The number of cherry trail mix Sebastian can make with 20 oz. of nuts is therefore;

[tex]\displaystyle Number \ of \ cherry \ trail \ mix = \mathbf{ \frac{20 \ oz \ of \, nuts}{4 \ oz \, of \, nuts \, per \, cherry \ trail \, mix }} = 5 \ cherry \ trail \ mix[/tex]

The number of cherry trail mix that can be made with 20 oz. of nuts = 5 cherry trail mixes

[tex]\displaystyle Number \ of \ sunflower \ trail \ mix =\mathbf{ \frac{20 \ oz \ of \, nuts}{5 \ oz \, of \, nuts \, per \, sunflower\ trail \, mix }}[/tex]

[tex]\displaystyle \frac{20 \ oz \ of \, nuts}{5 \ oz \, of \, nuts \, per \, sunflower\ trail \, mix } = \mathbf{4 \ sunflower \ trail \ mix}[/tex]

The number of sunflower trail mix that can be made with 20 oz. of nuts = 4 sunflower trail mix

Therefore;

Sebastian can make more cherry trail mix than sunflower trail mix with 20 oz. of nuts.

Learn more about division of numbers in arithmetic here:

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Answer:

m<2 + m<3 = 180°

Step-by-step explanation:

Lines intersected by a transversal are parallel if same-side interior angles are supplementary.

Answer: m<2 + m<3 = 180°

Answer:

80%

Step-by-step explanation:

4/5 = 80/100 = 80%

or

4 divided by 5 = 0.8

0.8 x 100 = 80

Answer:

80%

Step-by-step explanation:

4÷5 = 0.8 = 80%

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Answer:

The correct answer is yes.

Step-by-step explanation:

I can help you. What do you need? :)

Answer: [tex]\frac{3}{4}[/tex]

Have attached the picture for explanation...

The product of the fraction in the simplest form is 3/4

A fraction is a figure that is not a whole number. A fraction usually has a numerator and a denominator. The numerator is the number above. While the denominator is the number below.

2/3 x 9/8 = 18/24 = 3/4

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Answer:

no solution

Step-by-step explanation:

solution would occur where the lines intersect; parallel lines will never intersect

Answer:

It is 2.5 hours.

Step-by-step explanation:

Answer:

  f(x) = x⁵ +4x⁴ +x³ -10x² -4x+8

Step-by-step explanation:

If p is a zero, then (x -p) is a factor. The multiplicity of the zero tells you how many times that is a factor (its exponent).

  f(x) = (x -1)²(x +2)³ = (x² -2x +1)(x³ +6x² +12x +8)

  f(x) = x⁵ +4x⁴ +x³ -10x² -4x+8

_____

Additional comment

You can use the distributive property to write out the 12 terms of the product of the two expanded factors, or you can do a little mental arithmetic based on what you know about the exponent of a product term. (It is the sum of the exponents of its factors.)

The mental exercise can be made easier by writing the coefficients of the factors as though they were two cubics. It works well to write them in two rows:

  [tex]\left[\begin{array}{cccc}0&1&-2&1\\1&6&12&8\end{array}\right][/tex]

The columns are in order of decreasing powers of x. A relatively simple and symmetrical pattern of sums of cross products is used to find the coefficients of the final polynomial. Working in order of decreasing exponents, we have ...

coefficient of x^6 = (0)(1) = 0

coefficient of x^5 = (0)(6) +(1)(1) = 1

coefficient of x^4 = (0)(12) +(1)(-2) +(1)(6) = 4

coefficient of x^3 = (0)(8) +(1)(1) +(1)(12) +(6)(-2) = 1

coefficient of x^2 = (1)(8) +(6)(1) +(-2)(12) = -10

coefficient of x^1 = (-2)(8) +(12)(1) = -4

coefficient of x^0 = (1)(8) = 8

Answer:

The pythagorean theorem is:

H = [tex]\sqrt{s_1^2 + s_2^2}[/tex]

With H being the hypotenuse, s1 one side, s2 the other one. He already has a side and the hypotenuse so he has to calculate the inverse formula:

s2 = [tex]\sqrt{H^2 - s_1^2}[/tex]

So the real side will be:

square root of (15^2 - 10^2) = square root of (225 - 100) = 125 m

Jason made a mistake calculating the squares of the hypotenuse and the side, he didn't subtract and didn't take the root of the result.

Answer:

130

Step-by-step explanation:

correct me if im wrong

tnx

love ya

Answer:

Adam has found highest common factor as 22 because he didn't multiply 2×2 as 4 but he directly written 2×2 as 22

Step-by-step explanation:

100=10×10

=2×5×2×5

=2×2×5×5

112=4×28

=4×4×7

=2×2×2×2×7

so highest common factor = 2×2 =4

Answer:

hope this helped

Step-by-step explanation:

y = mx + b

b, the y-intercept, = 3 because when x is 0, y is 3

find m, slope:

(0,3) (2,2)

2 - 3/2 - 0

-1/2

-0.5 or -/2

y = -1/2x + 3

or

y = -0.5x + 3

Answer:

[tex]\text{(C).} ~~y=-2x+3[/tex]

Step-by-step explanation:

Answer: 2.5

Step-by-step explanation:

Answer:

How many different types of triangles are there?

There are 6 types of triangles.

[tex]\begin{gathered}\end{gathered}[/tex]

Draw and name the 4 different triangles.

[tex]\green\implies[/tex] The diagram of 4 different triangles is in the given pic. So, please check out the attachment.

The name of four triangles are :

[tex]\begin{gathered}\end{gathered}[/tex]

Write the properties of each triangle.

1. Acute-angled Triangle

[tex]\pink\implies[/tex] Each of the angles is below 90⁰, and the sum of those angles is always 180⁰. 

2. Right-angled Triangle

[tex]\pink\implies[/tex] One side being 90⁰, the other angles have to be acute. It is because the addition of all internal angles always produce 180⁰. 

3. Obtuse-angled Triangle

[tex]\pink\implies[/tex] Naturally, the other two angles have to be smaller than an obtuse angle. It is so that the internal sum of all the angles remains 180⁰.

4. Equilateral Triangle

[tex]\pink\implies[/tex] Since the internal angles add up to 180⁰, each angle has to be equal in an equilateral triangle. In this case, each angle of this triangle is 60⁰.

5. Isosceles Triangle

[tex]\pink\implies[/tex] Since two sides have the same length, the third side has to have a different length. On top of that, the angle of the other side is also dissimilar to the previous angles. 

6. Scalene Triangle

[tex]\pink\implies[/tex] In this case, the lengths of the three sides are diverse. However, the sum of dissimilar internal angles also has to be 180⁰. 

[tex]\begin{gathered}\end{gathered}[/tex]

Draw a circle and name the different parts of the circle.

[tex]\green\implies[/tex] The diagram of circle is in the given pic. So, please check out the attachment.

Parts of circle :

A circle can have different parts and based on the position and shape, these can be named as follows:

[tex]\begin{gathered}\end{gathered}[/tex]

Find the relationship between radius and diameter.

[tex]\pink\implies[/tex] The relationship between radius and diameter is the diameter of a circle is twice of its radius.

[tex]\underline{\rule{220pt}{3pt}}[/tex]

[tex]\dfrac{2x -3}{5} - \dfrac x3 \leq 2\\\\\implies \dfrac{6x-9-5x}{15} \leq 2\\\\\implies x-9 \leq 15 \times 2\\\\\implies x -9 \leq 30\\\\\implies x \leq 30 +9 \\\\\implies x \leq 39\\\\\text{Interval,}~ (-\infty, 39 ][/tex]

Answer:

x

Step-by-step explanation:

Refer to '<' as ' less than or equal to '

Whenever you are deal with these types of inequalities / equations, nake sure to equate the denominators of both entities involved in the operation be it ( -, × , ÷ ,+ )

with that in mind

* 2x - 3/5 - x/3 < 2 has 2 different denominators i.e - 5 & 3

so to equate both sides, let's multiply each by the denominator they are lacking.

* 2x - 3/5 lacks 3 compared to -x/3.

* similarly, -x/3 lacks 5 compared to 2x - 3/5

multiply both by what they lack (2)

thus, (2x - 3 )×3 /(5) × 3 - (x × 5) × 5/ (3) × 5 < 2

* 6x - 9/ 15 - 5x/15 < 2

we can now combine the numerators since we now have a common denominator which is 15.

* 6x - 9 - 5x/ 15 < 2 (6x-9-5x) is equal to -9 + x = x - 9.

criss cross

* x - 9 < 30

* x < 39

The cost of book has to be less than or equal to 26.39.

The amount of money Elena can buy has to be less than or equal to $30. Thus, the inequality sign to be used is the less than or equal to sign.

(1 + tax)cost of books + cost of bus fare ≤ value of the gift

1.08c + 1.5 ≤ 30

In order to determine the maximum cost of books, take the following steps:

Combine similar terms

1.08c  ≤ 30 - 1.5

Add similar terms together

1.08c  ≤ 28.50

Divide both sides of the equation by 1.08

c  ≤ 28.50 / 1.08

c  ≤ 26.39

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Answer:

B)154

Step-by-step explanation:

98:7=x:11

x=154

Answer: its 73,000

Step-by-step explanation: the answer sheet has the answers...

Answer:

3x²-4

Step-by-step explanation:

1 distribute

(-4x²-2x-6)+7x²+2x+2

2 eliminate redudant parentheses

-4x² -2x - 6+7x² +2x+2

3 Add the numbers

-4x²-2x-4+7x²+2x

4 Combine like terms

3x²-2x-4+2x

5 Combine like terms

3x²-4

Answer:

[tex]3x^{2} -4[/tex]

Step-by-step explanation:

Before solving this you have to know that,

( - ) × ( - ) = ( + )

( + ) × ( + ) = ( + )

( - ) × ( + ) = ( - )

Let us solve now.

[tex](-4x^2-2x-6)-(-7x^2-2x-2)[/tex]

[tex](-4x^2-2x-6)+7x^{2} +2x+2[/tex]

[tex]-4x^2-2x-6+7x^{2} +2x+2[/tex]

Now combine like terms

[tex]-4x^{2}+7x^{2} -2x+2x-6+2[/tex]

[tex]3x^{2} -4[/tex]

Hope this helps you .

Let me know if you have any other questions :-)

Answer:

5 because 20 percent in a fraction is 1/5 so you would just divide 25 by 5. Or you could do 25 times .2 and your answer is still 5.

Step-by-step explanation:

20% of 25 is 5

25 Percentages

1% = 0.25

5% = 1.25

10% = 2.5

15% = 3.75

20% = 5

Answer:

Slope of the line (m): 2.0

Y-intercept of the line (b): 2.0

Slope Intercept Form (y = mx + b): y = 2x + 2

Step-by-step explanation:

Slope intercept calculator lol

Answer:

24

Step-by-step explanation:

We have a system of equations, so we can start with the second equation:

[tex]x-y=2[/tex]

And move y to the other side to isolate x:

[tex]x=2+y[/tex]

Now we can replace x into the first equation:

[tex](2+y)^{2} -y^{2} =48\\ (2+y)(2+y)-y^{2} =48\\ 4+4y+y^{2} -y^{2} =48[/tex]

Notice that we can cancel out the y squared terms:

[tex]4+4y=48\\ 4y=44\\ y=11[/tex]

Now we just need to find x by replacing y into the second equation:

[tex]x-11=2\\ x=13[/tex]

And finally, add them:

[tex]x+y=11+13\\ x+y=24[/tex]

Hope this helps.

Answer:

x= 13

y=11

x^2 - y^2 = 48        and       x - y = 2

                                           x = 2 + y

(2 + y)^2 - y^2 = 48

(2 + y) (2 + y) - y^2 = 4

(4 + 2y +2y + y^2) -y^2 = 48

4 + 4y + y^2 - y^2 = 48

4 + 4y = 48

4y = 48 -4

4y = 44

y= 44/4

y= 11

Plug y back into the original equation:

x^2 - y^2 = 48

x^2 - 11^2 = 48

x^2 - 121 = 48

x^2 = 121 + 48

x^2 = 169

The square root of 169 is 13

So x= 13

x + y

13 + 11 = 24

Answer:

f(n) = 7 - 3n + 3 and

f(n) = 10 - 3n or

f(n) = -3n + 10

Step-by-step explanation:

Answer: True

Step-by-step explanation: