What are the solutions of x^2 + 6 x - 6 = 10?

Answer:

B

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Answer:

(x + 8)(x + 4)

Step-by-step explanation:

x² + 12x + 32                    Rewrite

x² + 4x + 8x + 32             Factor

x(x + 4) 8(x + 4)                

(x + 8)(x + 4)                    Final answer

Hope this helps!

Step-by-step explanation:

if x=1 --> 1 + 12 + 32 = 45

if x=2 --> 4+ 24 + 32 = 60

if x=3 --> 9+36+32 = 77

if x=4 --> 16 + 48 + 32 = 96

...

so, with the same logic we'll find the equation:

(x + 8)(x + 4)  

(because it's related to each of the equations on the top )                

I'm not sure if this is what you're looking for, if not tell me in the comments and I'll change my answer. Otherwise, I hope this answers your problem :)

Answer:

1 hour and 5 minutes

Step-by-step explanation:

1 hour equals 60 minutes

60 plus 30 equals 90

90 plus 40 equals 130

130 divided by 2 is 65

65 is turned into 1 hour and 5 minutes

Hope this helps

Welcome to Brainly Community

Answer:

  caveat: your grader may expect <E, N> coordinates, reversed from these

  A. <N, E> = <-200, 346.410> (plane) and <25.712, 30.642> (wind)

  B. resultant <N, E> = <-174.288, 377.052>

  C. resultant = 415.385∠115°

Step-by-step explanation:

The necessary calculations for vector arithmetic are handily carried out by a suitable calculator. The attached shows a TI-84 work-alike, but there are many other possible choices.

The necessary calculations for doing this "by hand" (without a calculator that does vectors or complex numbers) are ...

  a∠b = a·cis(b) = (a·cos(b) +i·a·sin(b))

  a +i·b = √(a²+b²)∠arctan(b/a) . . . . . with attention to signs and quadrant

__

Ordinarily, bearings are measured clockwise from North, and angles in the x-y or complex plane are measured counterclockwise from +x (East). If you use bearing angles without any translation, the resulting (complex plane) coordinates from rectangular/polar conversion are ...

  (North + i·East)

Coordinates in this system can be added and subtracted in the usual way. When the result is converted back to a distance and direction, that direction can be considered to be a bearing angle. In short, we can use bearing angles in our math with no special treatment, provided we are consistent in that usage.

__

The airplane speed vector in <north, east> coordinates is ...

  400∠120° = 400cos(120°) +i·400·sin(120°) = <-200, 346.410>

Similarly, the wind speed vector is ...

  40∠50° = 40cos(50°) +i·40sin(50°) = <25.712, 30.642>

__

The sum of the vectors is found from the sum of their components:

  plane + wind = <-200 +25.712, 346.410 +30.642> = <-174.288, 377.052>

__

Converting this vector in linear form back to a magnitude and direction gives ...

  magnitude = √((-174.288)² +377.052²) = √172544.644542

  magnitude ≈ 415.385 . . . mph

  direction = arctan(-377.052/174.288) . . . . . 90° < θ < 180°

  direction ≈ 115°

_____

Additional comment

As we discussed above, the vector coordinates used here are <N, E> coordinates. If you translate the bearing angles to Cartesian plane angles (measured CCW from +x), the corresponding coordinates will be <E, N> coordinates. That is, rectangular coordinates will be reversed from those shown here. If you're filling in an answer box, you may want to be aware of that fact.

Answer:

"mix 1 cup of vinegar with 1 gallon of water"

1 cup = 8oz; 1/4 cup = 2oz

You can see that the amount of vinegar is 1/4 of the original amount,

so, we will need 1/4 of the amount of water, which is 1gallon = 128oz

so, 1/4 times 128oz = 32oz, which is one quart

Algebraically, 8oz : 128oz = 2oz : x

8x = 256; x = 32oz

Answer:

A. 9.0 seconds

Step-by-step explanation:

Answer:

[tex] {x}^{2} = {8.6}^{2} + {11.5}^{2} \\ {x}^{2} = 73.96 + 132.25 \\ x = \sqrt{206.21} \\ x = 14.185 \\ x = 14.19[/tex]

14.19

Answer:

8cx - 22ac - 15bx + 45ab +18ax - 6bc.

Step-by-step explanation:

(8c-9b)(x-5a)+(3x+3c)(6a-2b)

= 8c (x-5a) -9b(x-5a) + 3x(6a-2b) + 3c(6a-2b)

= 8cx - 40ac -9bx + 45ab + 18ax - 6bx + 18ac - 6bc

Combining like terms:

=  8cx - 22ac - 15bx + 45ab +18ax - 6bc.

Answer:

8cx + 45ab + 18ax - 2bc - 15bx - 22ac

Step-by-step explanation:

Answer:

so on the graph you can

Step-by-step explanation:

first the y axis number comes first so you look at that the you do the x axis it should look like 2,3 or 2,-3 hope this works

Answer: 2x3=y. 2x3=6

Step-by-step explanation:

one: figure out what the question is asking you. Two: do 2x3 and then get the answer. Last: switch it around to find your answer.

Answer:

(x,y)=(-3,-7)

Step-by-step explanation:

step 1

y=2x-1

y=3x+2

=

2x-1=3x+2

Answer:

Step-by-step explanation:

The degree of each term in a polynomial is the exponent of the variable. If there are multiple variables in a term, the degree is the sum of their exponents. The degree of the polynomial is the highest of the degrees of the terms.

__

The three terms of the polynomial given here have degrees of 2, 0, and 3. Since the highest degree is 3, the polynomial is 3rd-degree, or "cubic." The "leading term" is the one of highest degree, and its coefficient is the "leading coefficient." The constant term is the one with degree 0 (no variables).

"The expression represents a cubic polynomial with 3 terms. The constant is -2, the leading term is 1/4x³, and the leading coefficient is 1/4."

The side of the square that is twice the area of one triangle (0.18 units²) is: 0.6 unit.

Area of a square = s², where s is the side length of the square.

1 square = 2(areas of triangles)

1 square = 2(0.18)

1 square = 0.36 units²

s² = 0.36

s = √0.36

s = 0.6 unit.

Length of the side of the square = 0.6 unit.

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Answer:

Discriminant = 120

Number of x intercepts = 2

=========================================================

Explanation:

The equation is of the form ax^2+bx+c with:

a = -7

b = 8

c = 2

The discriminant is

d = b^2 - 4ac

d = 8^2 - 4(-7)(2)

d = 64 + 56

d = 120

The discriminant is positive, meaning there are 2 different x intercepts.

If d = 0, then we'd have only one x intercept.

If d < 0, then there wouldn't be any x intercepts.

The amount needed in Tina's account in order for her to reach her goal round to the nearest cent is given by: Option B: $866,442.02 approximately.

Suppose we're given that:

Then, we get:

[tex]P = \dfrac{r\times P_v}{1 - (1 + r)^{-n}}[/tex]

Why do we need this loan paying formula?

It is because we can simulate this situation with above condition.

Suppose the balance in her account is loan that she has given to someone. Let it be x, so [tex]P_v[/tex] = x dollars

The loan is increasing compoundly per year(here period of time is year wise). r = 2.2% = 0.022

That loan taker will pay off(since she need money only for 35 years) the loan in 35 years by giving $35756 = P payments each year.

We need to find the value of that initial loan amount (which refers to the amount that she needs to keep in her account).

Putting values in the aforesaid formula, we get:

[tex]P = \dfrac{r\times P_v}{1 - (1 + r)^{-n}}\\\\\\35756 = \dfrac{0.022 \times x}{1 - (1+0.022)^{-35}}\\\\\\x = \dfrac{35756 \times (1 - (1+0.022)^{-35})}{0.022} \approx 866442.02 \: \rm dollars[/tex]

Thus, the amount needed in Tina's account in order for her to reach her goal round to the nearest cent is given by: Option B: $866,442.02 approximately.

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The other person is correct! The answer is B: $866,442.02.

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Have a great day and God bless! :D

Answer:

21

Step-by-step explanation:

You can tell that AB=2x7

BC=4x7

So, you're increasing each by multiplying each by 7.

3x7=21.

Answer:

A. The farmer plants 195 rows of beets and has 25 beet plants left over

Step-by-step explanation:

The quotient 195 is the number of full rows the farmer can make. That takes up 195*40 = 7800 plants so far. Then there's an extra 25 left over because 7825-7800 = 25 that can't make up an extra full row.

Answer:

40, or if you need it unrounded 40.3

Step-by-step explanation:

Answer:

x = 109°

Step-by-step explanation:

x = 64+45 = 109°

it looks simple, but that's the answer

Answer:

19

Step-by-step explanation:

you get the answers by counting all the x. every sttudent markes 1 x so the answer is 19

Answer:

—8, —5, —2, 1, 4

Step-by-step explanation:

Check out the attached photo

Answer:

supply and demand

Step-by-step explanation:

if we take 340 as the 100%, what is 425 off of it in percentage?

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 340 & 100\\ 425& x \end{array} \implies \cfrac{340}{425}=\cfrac{100}{x} \implies \cfrac{4}{5}=\cfrac{100}{x} \\\\\\ 4x=500\implies x=\cfrac{500}{4}\implies x=125[/tex]

The solutions of the equations are the point of intersection of the equations

The solutions are located at points (-2,7) and (1,1)

The equations are given as:

y = –2x + 3 and y = x2 – x + 1

Next, we plot the graph of both equations

From the graph of the equations (see attachment), we have the solution to be:

(x,y) = (-2,7) and (1,1)

Hence, the solutions are located at points (-2,7) and (1,1)

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Answer:

D.

(–2, 7) and (1, 1)

Step-by-step explanation:

I took the algebra exam

Answer:

5x5x5x5

Step-by-step explanation:

The expression that has the same value as [tex]5^4[/tex] is 25² or 625.

Exponents and powers are ways used to represent very large numbers or very small numbers in a simplified manner.

We have [tex]5^4[/tex].

Usually exponents can be expand using the number the power is raised.

As, if we have 9³ then it means 9 is multiplies by itself three times.

So, 9³ = 9 x 9 x 9= 729

Now, we have to expand  [tex]5^4[/tex] as

= 5 x 5 x 5 x 5

= 5² x 5²

= 25 x 25

= 25²

= 625

So, the Equivalent value to  [tex]5^4[/tex] is 25² or or 5² x 5² or 625.

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[tex]-3(2x+2) < 10\\\\\implies -6x -6 < 10\\\\\implies -6x < 10 +6\\\\\implies -6x < 16 \\\\\implies x > -\dfrac{16}6\\\\\implies x > -\dfrac{8}3[/tex]

Answer:

6 deluxe pizzas

Step-by-step explanation:

200-5=195

195 is the total cost of pizzas

195=11.50x+15.25y

y=−0.75x+12.79

(the y intercept and slope are rounded)

x is reg. pizzas. y is deluxe

x+y=15

y=-x+15

if you plot both y=-x+15 and y=-0.75+12.79 you get coordinates that round to 9,6

9 pizzas

6 deluxe pizzas.

Answer:

55

Step-by-step explanation:

cell phone plan charges $50 per month for 400 minutes of talk time. The plan charges $0.10 for each additional minute you talk.

Let the monthly charge be y and x be the number of additional minutes.

So, the equation becomes,

y = 50 + 0.10(x)

For, The given month the additional minutes are 50.

so, y = 50 + 0.10(50) = 55

Answer:

here;

per month-50$ for 400 m

now'

50*0.10$

5$

again;

monthly + additional

50+5

$55

Answer:

Step-by-step explanation:

the angle of measure 4x + 12 and the angle of measure 64 are Vertically opposite angles then they are equal in measure

therefore

4x + 12 = 64

⇔ 4x = 64 - 12

⇔ 4x = 52

⇔ x = 52/4

⇔ x = 13