A student was asked to simplify the expression 2(x+3)+(4x−8)−7x.
Identify the line which contains the initial error.
1: 2(x+3)+(4x−8)−7x
2: 2x+6+4x+8−7x
3: (2x+4x−7x)+(6+8)
4: −x+14

[tex](8-15i) +(11+24i) = 19+9i\\\\(8-15i)-(11+24i)=-3-39i=-3(1+13i)[/tex]

[tex]y = - x {}^{2} + 6x - 15[/tex]

[tex]y {}^{ \gamma } = - 2x + 6[/tex]

[tex]y {}^{ \gamma } = 0[/tex]

[tex] - 2x + 6 = 0[/tex]

[tex] - 2x = - 6[/tex]

[tex]2x = 6[/tex]

[tex]x = 3[/tex]

[tex]y = - (3) {}^{2} + 6(3) - 15[/tex]

[tex]y = - 9 + 18 - 15[/tex]

[tex]y = - 9 + 3[/tex]

[tex]y = - 6[/tex]

[tex]==============================[/tex]

In order to find the vertex of a parabola, we use the following formula:

[tex]\mathfrak{\displaystyle\frac{-b}{2a} }[/tex]

Please remember that a parabola looks like this:

[tex]\tt{y=ax^2+bx+c}[/tex]

Now you know what a and b stand for.

In this case, a = -1, and b is 6:

[tex]\mathfrak{\displaystyle\frac{-6}{2(-1)} }[/tex]

Simplify:

[tex]\mathfrak{\displaystyle\frac{-6}{-2}}[/tex]

[tex]\mathfrak{3}\\=======================================[/tex]

[tex]\mathcal{DiAmOnD}\\\tt{A~Creative~Helper}}}}[/tex]

Answer:

6

Step-by-step explanation:

A=(bh)/2

a=(4*3)/2

a=12/2

a=6

Answer: 12 units 2

Step-by-step explanation:base times hight

The 7 unit side and the unit 10

since they are both perpendicular to the same 8 unit side

:)

Answer:

288 ft³

Step-by-step explanation:

The formula to find the volume of a rectangular prism is :

Volume = length × width × height

Let us find it now.

Volume = 4 ft × 12 ft × 6 ft

Volume = 48 ft² × 6 ft

Volume = 288 ft³

square two sides

x+8=(x+8)2

x+8=x2+16x+64

x2+16x+64-x-8=0

x2+15x+56

then rule a2+-l

Associative property:-

Lets check one by one

#1

Here the rule is

Hence Yes associative property

#2

Here the rule is

Hence no it's distributive property

#3

Yes

#4

No

Associative property meaning rearranging the parentheses in an expression which will not change the result.

✔A)

[tex]\rightarrow \sf (1\dfrac{2}{5} \ x \ 3\dfrac{1}{2} ) \ x \ 4 = 1\dfrac{2}{5} (3\dfrac{1}{2} \ x \ 4 )[/tex]

[tex]\rightarrow \sf \dfrac{98}{5} = \dfrac{98}{5}[/tex]

This uses associate property as it is rearranged in a different way and result same.

B)

[tex]\rightarrow \sf 2.5 \ x \ (1.8 +6.3) = (2.5 \ x \ 1.8)+(2.5 \ x \ 6.3 )[/tex]

This property is called distributive property. a(b + c) = a(b) + a(c)

✔C)

[tex]\sf \rightarrow 10(4.6 \ x \ 3) = (10 \ x \ 4.6) \ x \ 3[/tex]

[tex]\sf \rightarrow 138 = 138[/tex]

associate property as the following is rearranged inside the parentheses

D)

[tex]\rightarrow \sf 6.3 \ x \ 1 = 6.3[/tex]

This does not fall under any method or else multiplicative identity property.

Answer:

11

Step-by-step explanation:

To find the mean:

Add up all data values to get the sum then count the number of values in your data set. Lastly, divide the sum by the count.

Solution:

Thus,

2+ 5+7+7+8+9+11+ 14+22+25=110

110/10 = 11

Therefore, the mean is 11.

~lenvy~

Answer:

Step-by-step explanation:

just put them in order from least to greatest then find the middle number

2x - 5

I just know and am positive with my answer. Hope this helped and have a good one!

15% decrease means the bill would be 85% of the original bill ( 100% -15% = 85%)

multiply the current bill by 85%

2100 x 0.85 = 1.785

the bill would be $1,785

Answer:

9

Step-by-step explanation:

Add all numbers together: 36

divide by the amount of numbers in the list: 9

                                      :)

Answer:

-5(x+2)

Step-by-step explanation:

Answer:

35.5 is the average of 34 and 37

Step-by-step explanation:

Answer:

-35.5

Step-by-step explanation:

-34 + -37 = -71

-71/2 = -35.5

I hope this helps!

Answer:

a. maximum value

b. x = 5

c. domain = all reals , range = y is less than or equal to 72

Step-by-step explanation:

a. maximum because it is a negative function and thats the highest value

b. thats the x value of the vertex which is the highest point

Using proportions, it is found that she spent 25.76 hours at Yoga.

A proportion is a fraction of a total amount.

Researching the problem on the internet, it is found that the circle graph shows that she spent 28% of her time of 92 hours on yoga, hence:

h = 0.28 x 92 = 25.76.

Hence, she spent 25.76 hours at Yoga.

More can be learned about proportions at https://brainly.com/question/24372153

The average value of f(x, y) over the given region (I'll call it T) is

[tex]\dfrac{\displaystyle \iint_T f(x,y) \, dA}{\displaystyle \iint_T dA}[/tex]

In other words, it's the ratio of the integral of f(x, y) over the region to the area of the region.

The set T can be expressed as

[tex]T = \left\{(x,y) \,:\, 0\le x\le9 \text{ and } 0\le y\le -\dfrac29x+x\right\}[/tex]

Since it's a triangle, the denominator is easily computed to be

[tex]\displaystyle \iint_T dA = \frac12 \times 9 \times 2 = 9[/tex]

In the numerator, we have

[tex]\displaystyle \iint_T (10x+3y) \, dA = \int_0^9 \int_0^{-2x/9+2} (10x+3y) \, dy \, dx \\\\ = \int_0^9 \left(\frac32\left(-\frac{2x}9+2\right)^2+10x\left(-\frac{2x}9+2\right)\right) \, dx = 288[/tex]

and hence the average value is 288/9 = 32.

Answer:   i think it will take 48 hours

Step-by-step explanation:

here's how to get 48 so basically 450-400-2= 48

now if you end up doing 400 - 450 then you will get -50 if you do 400-450-2 you will get a -52 so you want to make sure you do the biggest number first and then do the smaller numbers to get 48 like 450 - 400 - 2 and then you will have 48

i hope this helps!

Answer: 2495

Step-by-step explanation:

9x + 7(325)-7x = 2495

    2x = 220

     x = 110 adults  and 215  senior citizens

CHECKING our answer***

$990 + $1505 = $2495

Wish You the Best in your Studies.

[tex]\orange\bigstar \bold{ solution}[/tex]

[tex]\bold{f(x) = x³ - \frac{1}{x³ } }[/tex]

[tex]\bold{f ( \frac{1}{x} )= \frac{1}{x³} -x³ } [/tex]

[tex]\bold{f (x) + f (\frac{1}{x}) = (x³- \frac{1}{x³} ) + ( \frac{1}{x³} -x³)}[/tex]

[tex]\bold{ = 0 }[/tex]

79.45401²

[tex]1)\ V=B\ Sh[/tex]

[tex]\therefore\ V=3.15\times 3.75\times 5.65[/tex]

[tex]=79.403125[/tex]

[tex]\approx 79,45\ cm^3[/tex]

I hope this helps you

:)

Rounded to the nearest hundredth, the volume of the prism is approximately 79.50 cm^3.

To find the volume of a prism, we use the formula:

Volume = Base Area * Height

In this case, the prism has a square base with each side of length 3.75 cm and a height of 5.65 cm. The formula for the area of a square is:

Base Area = Side Length^2

So, the base area can be calculated as:

Base Area = 3.75 cm * 3.75 cm = 14.0625 cm^2

Now, we can find the volume using the formula:

Volume = Base Area * Height

Volume = 14.0625 cm^2 * 5.65 cm

Volume ≈ 79.5025 cm^3

To know more about volume:

https://brainly.com/question/32006008

#SPJ2

Answer:

y=2

Step-by-step explanation:

add 5 to 0 then divide 5 with 2

Answer:

  (A) 308 clocks

  (B) 423 clocks

Step-by-step explanation:

The contribution margin is the amount by which the selling price of the clock exceeds the cost of the clock. The contribution margin is used to figure the break-even point, and the amount of profit from sales.

  contribution margin = selling price - variable cost - purchase price

  contribution margin = $84 -5 -53 = $26

__

To break even, the contribution margin from 'b' clocks must equal or exceed the owner's fixed cost:

  26b ≥ 8000

  b ≥ 8000/26

  b ≥ 307.7

The owner must sell 308 clocks each month to break even.

__

To make a profit of $3000, the owner must sell enough clocks to cover the $8000 fixed cost and contribute an additional $3000. That is, the total contribution margin from selling p clocks must be about $3000+8000 = $11000.

  26p ≈ 11000

  p ≈ 11000/26 ≈ 423.08

The owner must sell about 423 clocks each month to earn a profit of about $3000.

__

Additional comment

Selling 423 clocks will yield a profit of $2998.

Answer: ok? whats the question

Step-by-step explanation:

Answer:

I think u forgot to mention the question?

Step-by-step explanation:

The polynomials in factored form are listed below:

In this question we must factor polynomials as there are both numerical and analytical methods. Mathematically speaking, factoring polynomials is represented by the following formula:

[tex]\sum^{n}_{i = 0} \,c_{i}\cdot x^{i} = \prod^{n}_{i=1}(x-r_{i})[/tex], [tex]\forall\,x, r_{i}\in \mathbb{C}[/tex]   (1)

Where:

Regarding fourth order polynomials we can solve them by Ferrari's method and third order polynomials by Descartes' method. Then, the solutions of each polynomials are given below:

f(x) = (x - 4) · (x - 3) · (x - 1) · x

f(x) = (x - 2.236) · (x - 2) · (x + 2.236) · (x + 4)

f(x) = (x + 3) · (x - 5) · (x - 1)

f(x) = (x - 4) · (x - 3) · (x - 1) · x

To learn more on polynomials, we kindly invite to check this verified question: https://brainly.com/question/17822016

The table represents linear because the x represent the exponential functions

Answer:

There is 43 20¢ in the coin bank.