Question is in the picture

Answer: -25x² + 115x + 108

Concept:

When encountering questions that ask for simplifying polynomial expressions, using the method FOIL would be easier:

Solve:

Given

(5x + 4) (7x + (-12x) + 27)

Combine like terms in the parentheses

=(5x + 4) (7x - 12x + 27)

=(5x + 4) (-5x + 27)

Expand parentheses and apply the FOIL method

=-25x² + 135x - 20x + 108

Combine like terms

= [tex]\boxed {-25x^2+115x+108}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

[tex]\boxed {\boxed {\sf -25x^2+115x+108}}[/tex]

Step-by-step explanation:

We are asked to find an equivalent expression for (5x + 4)(7x+ -12x + 27). Note that we are multiplying 2 polynomials.

[tex](5x + 4)(7x+ -12x + 27)[/tex]

Notice that the second polynomial has like terms. There are 2 terms with an x (7x and -12x) and we can combine them.

[tex](5x + 4)[(7x+ -12x) + 27][/tex]

[tex](5x + 4)[(-5x) + 27][/tex]

[tex](5x+4)(-5x+27)[/tex]

Now we are multiplying 2 binomials. Therefore, we use the FOIL method. We multiply the First terms, the Outside terms, the Inside terms, and the Last terms.

[tex]-25x^2+135x-20x+108[/tex]

Notice there are 2 terms with an x ( 135x and -20x). They are like terms and can be combined.

[tex]-25x^2+(135x-20x)+108[/tex]

[tex]-25x^2+115x+108[/tex]

The equivalent expression in standard form is -25x²+115x+108

Answer:

[tex]4( \sqrt[5]{ {x}^{2} y} ) + 3( \sqrt[5]{ {x}^{2}y } ) \\ [/tex]

factorise out the 5th root of x²y :

[tex] = \sqrt[5]{ {x}^{2}y } (4 + 3) \\ = 7( \sqrt[5]{ {x}^{2} y} )[/tex]

(A)

Step-by-step explanation:

The meal cost $45.25 so 20% of this for tip is

($45.25)(0.20) = $9.05. Since the tip is split between 4 friends, divide this tip by 4 and each one paid ($9.05/4) = $2.26.

Answer:

Step-by-step explanation:

We mark checks as negative and a deposit as positive:

Add up to get the total change of:

Correct choice is D

Answer:

Answer :-

Here, Irene is having a checking account. First she write a check of $160. Then means it has an decrease money. (-160) Now, She deposit $125. This means Now, the balance is -160 + 125 = $-35. She again write a check of $40. (-40). Total change =>

-40 - 35

-75

Option D is correct mate!

Answer:

1 hour 12 minutes

Step-by-step explanation:

1.2 × 60 = 72 minutes

72-60 = 12 minutes

Answer:

[tex](x + 7) \times (3x - 4)[/tex]

Step-by-step explanation:

[tex] {3}^{2} + 17x - 28[/tex]

[tex]3 {x}^{2} + 21x - 4x - 28[/tex]

[tex]3 \times x(x + 7) - 4x - 28[/tex]

[tex]3x \times ( x + 7) - 4(x + 7)[/tex]

[tex](x + 7) \times (3x - 4)[/tex]

Answer:

$9000

Step-by-step explanation:

36000:4=$9000

Answer:

2-x^2-6x

Step-by-step explanation:

2-x(x+6)

2-x^2-6c

Answer:

[tex]radius \: of \: first \: circle \: = \frac{3}{2} = 1.5cm \\ radius \: of \: \: second = \frac{4}{2} = 2cm \\ radius \: of \: third = \frac{6}{2} = 3cm \\ then \: ab \: length \\ = radius \: of \: first + diameter \: of \: second \: +r adius \: of \: third \\ = 1.5 + 4 + 3 \\ = 1.5 + 7 \\ = 8.5 cm\\ thank \: you[/tex]

Answer:

(1 )= ..x = (2)

Step-by-step explanation:

(1) = x = (2)

Answer: 1 ≤ x ≤ 2

Step-by-step explanation:

Given inequality

3 ≤ 6x - 3 ≤ 9

Add 3 on all sides

3 + 3 ≤ 6x - 3 + 3 ≤ 9 + 3

6 ≤ 6x ≤ 12

Divide 6 on all sides

6 / 6 ≤ 6x / 6 ≤ 12 / 6

[tex]\boxed{1}[/tex] ≤ x ≤ [tex]\boxed{2}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer: x = 8

Step-by-step explanation:

Given

(1/3) (3x + 6) + 2x = 26

Expand parentheses and apply the distributive property

(1/3) · 3x + (1/3) · 6 + 2x = 26

x + 2 + 2x = 26

Combine like terms

(x + 2x) + 2 = 26

3x + 2 = 26

Subtract 2 on both sides

3x + 2 - 2 = 26 - 2

3x = 24

Divide 3 on both sides

3x / 3 = 24 / 3

[tex]\boxed{x=8}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

g(x) = [tex]\frac{1}{x+11}-9[/tex] is my choice

Step-by-step explanation:

I. If move right is +x and move down is -y

               then f(x) = [tex]\frac{1}{x}[/tex]

               +x = 11, -y = -9

                so g(x) = [tex]\frac{1}{x+11}-9[/tex]

Hope that help :D

Step-by-step explanation:

The arithmetic mean of a distribution is 5. The second and the third moments about the mean are 20 and 140 respectively. What is the third moment of the distribution about 10?

Call the random variable x.

Now, define a new variable y = x - 5. Note that x - 10 = y - 5.

So, it is clear that (x-10)^3 = (y-5)^3

Also, note that (y-5)^3 can be expanded as follows:

Expand (y-5)³

Result ; y³-15 y²+75 y - 125

Letting E denote expectation with respect to the random variable x, we see that

E[(y-5)^3 ] = E(y^3) -15 E(y^2) + 75 E(y) - 125

Again, recalling that y = x - 5, have

E(y^3) = 140

E(y^2) = 20

E(y) = E(x) - 5 = 5 - 5 = 0

Thus,

E[(y-5)^3 ] = 140 -15(20) + 75(0) -125 = -285

Finally, note that

E[(y-5)^3] = E[({x-5} -5)^3] = E[(x-10)^3]

So, we get E[(x-10)^3] = -285.

Answer:

[tex]25x +10 \\ 25x \\ are \: the \: exprassion \\ thank \: you[/tex]

Answer:

2nd option and last option

Step-by-step explanation:

the first option is an equation: it has a solution.

the second option is an expression, and follows the criteria of an expression (can be made of co-effecients, symbols, operations, numbers, ect.), so it is one of our answers.

the third option is an equation since it has the equal sign, and thus, has a solution.

the fourth option is simply a number- a value. it does not fit as an equation (no solution) or an expression (can be made of co-effecients, symbols, operations, numbers, ect.)

lastly, our fith option is an expression. it is a coefficient (a multiplication problem between a known value and a variable). this is also one of our last answers.

Answer:

The first choice.

Step-by-step explanation:

Domain = x value (first value in a coordinate pair: (x,y))

Range = y value

A function cannot have a repeating Domain value.

This eliminates the last option since -4 is used twice.

The second option has 11 as a y value but it is not in the range.

The third option has 10 as an x value but it is not in the domain.

9514 1404 393

Answer:

  A.  2×10³

Step-by-step explanation:

The ratio of diameters is ...

  (189,869 mm)/(98 mm) ≈ 1927.3 ≈ 2000 = 2×10³

The diameter of the peach became about 2×10³ times as large.

Step-by-step explanation:

since < 5 = < 8, so,

< 7 = < 6 = 29°

and < 5 = 90° - 29° = 61°

Answer: Student ticket cost $2 and an adult ticket cost $3.

257 kids total attended

Step-by-step explanation:

Answer:

1/2 is the answer because its half

Answer:

1 / 2

Step-by-step explanation:

10 is to 5 as  10 (5/10) = 50/10 = 5

8 is to 4 as 8 ( 4/8 ) = 32/8 = 4

6 is to 3 as 6 ( 3/6 ) = 18/6 = 3

Each of the scale factors are 5/10, 4/8, 3/6 which equals 1/2.

Answer:

the point (9,-12) is also on the line

Step-by-step explanation:

by using the 2 points the equation is y=-4/3x

use x of 9

y = -12

it will also represent a direct variation function

so two of the 4 will be correct

Answer:

The point (9,-12) is also on the line

Step-by-step explanation:

Please give brainliest

Answer:

when x = 18. Putting x = 18 into the equation y = 6/x, we have y = 6/18. Simplifying the fraction gives us y = 1/3.

Step-by-step explanation:

Answer:

None

Step-by-step explanation:

Simply, the absence of s^-1 shows the answer as none

Step-by-step explanation:

[tex]\sin(\theta + \phi) = 2\cos(\theta - \phi)[/tex]

Using the addition identity formulas, we can write

[tex]\sin{\theta}\cos{\phi} + \cos{\theta}\sin{\phi} = 2\cos{\theta}\cos{\phi} + 2\sin{\theta}\sin{\phi}[/tex]

Dividing both sides by [tex]\cos{\phi}[/tex], we get

[tex]\sin{\theta} + \cos{\theta}\tan{\phi} = 2\cos{\theta} + 2\sin{\theta}\tan{\phi}[/tex]

Dividing both sides by [tex]\sin{\theta}[/tex], we get

[tex]\tan{\theta} + \tan{\phi} = 2 + 2\tan{\theta}\tan{\phi}[/tex]

or

[tex]\tan{\theta}(1 - 2\tan{\phi}) = 2 - \tan{\phi}[/tex]

Rearranging the terms,

[tex]\tan{\theta} = \dfrac{2 - \tan{\phi}}{1 - 2\tan{\phi}}[/tex]

Answer:

B. [tex]\frac{5}{8}[/tex]

Explanation:

Because the denominators (bottom numbers) of both fractions are the same, we simply just add the numerators (top numbers) and keep 8 as the denominator.

The percentage of 45 out of 120 is 38%  thus 38% calories from fat.

The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.

Given that,

Total calories = 120

Calories from fat = 45

Fraction of calories from fat = 45/120 = 0.38

Percentage of calories from fat out of total calories ⇒

(45/120) × 100 = 38%

Hence "The percentage of 45 out of 120 is 38%  thus 38% calories from fat".

For more about the percentage,

brainly.com/question/13450942

#SPJ5

Answer:

csc x sec x

Step-by-step explanation:

csc = 1/sin

1/sin^2    /  cos/sin    =   1 / sin^2    *  sin/cos       =   1 / sin cos  = csc sec

Answer:

use the formula sn= n(a1+an)/2

Step-by-step explanation:

2982=28(228+an)/2

5964=28(228+an)

5964/28=228+an

213=228+an

an=-15(last term)

to find difference use formula

an = a+(n-1)d

-15=228+(28-1)d

-243=27d

d=-243/27

d=-9

arithmetic sequence  can be found be keep on subtracting 9 from 228

hence the arithmetic sequence is

228, 219, 210, 201, 192, 183, 174........-15

Answer: g(x) = (x+1)-3

Step-by-step explanation: Assuming you are moving from expression f to expression g, the plus one in the equation moves the vertex to the right one. subtracting three outside of the parenthesis moves the vertex down three, giving you a vertex of (1,-3). hope this helps!

9514 1404 393

Answer:

  (a) the diagram is incorrect

Step-by-step explanation:

There is no overlap between the sets of rational and irrational numbers. The diagram is incorrect.