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(√-4)(4√-25) help me i dont get how to do this

The solution of the quadratic equation will be;

⇒ x = - 1 ± √5 / 8

⇒ x = –1 Plus or minus Start Root Start Fraction 5 Over 8 End Fraction End Root.

An algebraic equation with the second degree of the variable is called an Quadratic equation.

Given that;

The quadratic equation is,

⇒ 8x² + 16x + 3 = 0

Now,

Solve the equation as;

⇒ 8x² + 16x + 3 = 0

⇒ 8x² + 16x = - 3

⇒ 8 (x² + 2x) = - 3

Now, Using completing the square as;

⇒ 8 (x² + 2x + 1) = - 3 + 8

⇒ 8 (x + 1)² = 5

⇒  (x + 1)² = 5 / 8

⇒ (x + 1) = ±√5 / 8

⇒ x = ±√5/8 - 1

⇒ x = - 1 ± √5/8

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Answer:

[tex]\sf \dfrac{-1}{2}[/tex]

Step-by-step explanation:

Find the slope:

(-9 , -5)   ⇒ x₁ = -9  ; y₁ = -5

(-1 , -9)   ⇒ x₂ = -1   ; y₂ = -9

[tex]\sf \boxed{Slope = \dfrac{y_2-y_1}{x_2-x_1}}[/tex]

           [tex]\sf = \dfrac{-9-[-5]}{-1-[-9]}\\\\\\=\dfrac{-9+5}{-1+9}\\\\\\=\dfrac{-4}{8}\\\\\\=\dfrac{-1}{2}[/tex]

Answer:

Slope = -1/2

Step-by-step explanation:

Formula we use,

→ (y2 - y1)/(x2 - x1)

Now the value of slope is,

→ (-9 -(-5))/(-1 -(-9))

→ (-9 + 5)/(-1 + 9)

→ -4/8 = -1/2

Hence, the slope is -1/2.

The best linear regression model for the grade according to the number of hours slept is of:

A. y = 6.38 x + 35.63.

To obtain the linear regression equation, also called line of best fit or least squares regression equation, we need to insert the points (x,y) in a linear regression calculator. These points are given on a table or in a scatter plot in the problem.

For this problem, the points are given in the table given by the image at the end of the answer, and are given as follows:

(8, 83), (7, 86), (7, 74), (8, 88), (6,76), (5, 63), (7, 90), (4, 60), (9,89), (7,81).

Inserting these points into the linear regression equation, the equation is given as follows:

y = 6.38 x + 35.63.

Hence the correct option is given by option A.

The problem is given by the image shown at the end of the answer.

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90° is the least angle measure by which this figure can be rotated so that it maps onto itself.

The correct option is (B)

From the figure,

As the figure has two axis of symmetry, placing x and y axis such that the origin lies on its centroid.

Angle between x axis and y axis is 90°.

So rotating any degree which is a multiple of 90 i.e., 90°, 180°, 270°, 360°...… would yield the original figure.

Therefore, 90° is the least angle measure by which this figure can be rotated so that it maps onto itself.

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Answer: show us the graph

Step-by-step explanation:

As there are three players, the game will be played in cycles of 3 rounds. After each cycle is completed, the round after will be the round where every single player has 1 token less than they did at the beginning of the previous cycle.

After the first round of the game, player one will have 12 tokens, player two will have 15 and player three will have 14 left. Looking at this sequence, it is evident that player one will finish first.

Go a few rounds to establish the pattern:

Beginning chips: A B C

15 14 13

1st round:

12 15 14

2nd round: 13 12 15

3rd round: 14 13 12

So after 3 rounds and successive 3 rounds each player has one less than he started with at the beginning of the 3 round series.

So after 36 rounds each will be down 12 from the beginning:

                                            A B C

                                             3 2 1

On the 37 round A will give up his 3 to end at 0

37

For more clear understanding:

As player has one token less at the beginning of a new cycle than he/she had at the beginning of the previous cycle we go (12∗3)+1=37(12∗3)+1=37 to see how many turns it will take them to reach zero.

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Answer:

x =11

Step-by-step explanation:

report this so that girl in the comments can give you an answer

Answer: -50

Step-by-step explanation:

Answer:

40kg:1kg

Step-by-step explanation:

240kg:6kg

Both sides can be divided by 6 so we that to simplify

40kg:1kg

Hopes this helps please mark brainliest

240 : 6

answer = 1 : 4 the simplest form of 240 : 6

The expression that represents the change in depth is |-45 + 20|

From the question, the endpoints are given as

Initial point = 20 feet below the sea level

Final point = 45 feet below the sea level

Rewrite the endpoints properly

This is done as follows

Initial point = -20

Final point = -45

The distance expression between the endpoints is then calculated as

Distance = |Final point - Initial point|

Substitute the known values in the above equation

So, we have the following equation

Distance = |-45 + 20|

Hence, the distance expression is |-45 + 20|

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The value of PC is 40 when C is the circumcenter of triangle PQR.

Given that,

Consider the complete question is

C is the circumcenter of triangle PQR.

PC=3x-7

RC=5x-15 &

QC= 51-x

We have find the side PC.

A triangle's vertices are equidistance spaced from its circumcenter.

PC=RC=QC

RC=QC

5x-15= 51-x

5x+x= 51+15

6x=66

x=11

The value of x is 11.

We must determine PC's worth.

Substitute x=11 in the above equation.

PC= 3x+7

PC= 3(11)+7

PC=33+7

PC= 40

Therefore, The value of PC is 40 when C is the circumcenter of triangle PQR.

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Answer:

solve for u= 6v/7

solve for v= 7u/6

Step-by-step explanation:

The expression that shows number of remote control cars on the display self is 16s.

Mathematical expressions are formed using at least two numbers,  variables, and there must be one arithmetic operation, and a statement. If there are x items are given in one self and there are n number of self and we have to find total number of items in all self, then we have to multiply x by n.

Here, there are 16 remote control cars on a display self. The number of display shelves is s.

So, the total number of cars will be 16 times of s.

Number of cars on display = 16s

Therefore, the expression that shows the number of cars on display is 16s.

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Answer:

It is 16s

Step-by-step explanation:

Answer:

x + x + 2 = x + 3

2x + 2 = x + 3

x = 1

x + 2 = 3

x + 3 = 4

A swimming pool shaped like a rectangular prism has a volume of 124 cubic meters.

Rectangular prism is a three-dimensional shape that has 6 rectangle faces, 12 edges and 8 vertices.

Volume is defined as the amount of space that a three-dimensional shape occupies.

The volume of a rectangular prism can be calculated using the formula below.

V = l x w x h

where V = volume

l = length

w = width

h = height or depth

Plug in the values to the formula, multiply by the conversion factor, and solve for the volume.

V = l x w x h

V = (26 feet)(14 feet)(12 feet)(0.305 meter/foot)³

V = 124 cubic meters

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Answer:

a = (c - by) / x

Step-by-step explanation:

ax + by = c

ax = c - by

a = (c - by) / x

Answers: A, A, A

1)A rectangle has an area of 405 cm square and width of 15 cm. The length of the rectangle is: 27 cm

15cmx 27cm= 405 cm

2)The x- and y- intercepts of the graph of the line 5x - 3y - 15 = 0 are, respectively: 3 and 5

(I don't really know how to explain this.......)

3)The expression that simplifies to 11x + 2y is: 4x+3y+7x-y

 4x+7x=11x

  3y-y = 2y

Therefore, it will equal to 11x+2y.

I really hope this helps!

Please Mark Me Brainliest!!!

(I'm in 5th Grade Honors but I learn MS)

Answer:

All the answer are A

Step-by-step explanation:

Area = length times width

405 = x15  Divide both sides by 15

27 = x

For the x intercept  Let y = o and solve for x

5x - 3y -15 = 0

5x - 3(0) -15 = 0

5x -15 = 0  Add 15 to both sides of the equation

5x = 15  Divide both sides by 5

x = 3

The x intercept is (3,0)

For the y intercept Let x = 0 and sole for y

5x -3y -15 = 0

-3y -15 = 0  Add 15 to both sides of the equation

-3y = 15  Divide both sides by -3

y = -5

The y intercept is (0,-5)

4x + 3y + 7x - y  Combine the like terms

(4x + 7x) = (3y -y)

11x + 2y

The total number of roots for the given polynomial is for f(x)= 3x^6+2x^5+x^4-2x^3+6 is 6  and for g(x) =  5x-12x^2+3 is 2

Since for finding the number of roots, we just  need to see what is the degree fro the given polynomial, where the degree of the polynomial is nothing but the highest exponent.For the function f (x) = 3x6 2x5 x4 - 2x3, here the degree is 6, and the respective function is having 6 numbers of roots, which be real roots and complex roots too.For the function g(x) =  5x-12x^2+3, here the degree is 2, so the respective function has 2 roots.

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Answer:

f (x) = 3x6 + 2x5 + x4 - 2x3 = 6 roots g(x) = 5x - 12x2 + 3 = 2 roots f (x) = (3x4 + 1)2 = 8 roots g(x) = (x - 5)2 + 2x3 = 3 roots

The solution of the linear equation 3.5g - 2.7g = -6 will be negative 7.5.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

If the maximum power of the equation is one. Then the equation will be a linear equation.

The linear equation is given below.

3.5g - 2.7g = -6

Simplify the equation, then we have

3.5g - 2.7g = -6

0.8g = -6

g = - 6 / 0.8

g = - 7.5

The solution of the linear equation 3.5g - 2.7g = -6 will be negative 7.5.

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Answer:

A

Step-by-step explanation:

Translation of 3 units is a plus 3 away from the x

Which one of the following is NOT equivalent to 3/4?

16/24 = 2/3

15/20 = 3/4

6/8 = 2/3

24/32 = 3/4

Answer: 16/24 and 24/32 are not equivalent to 3/4

Step-by-step explanation:

Equivalent fractions represent the same value, even though they look different.

Here, when we convert every fraction to its simplest form, we can verify if they are equal.

(16/24) ÷ (8/8) = 2/3

(15/20) ÷ (5/5) = 3/4

(6/8) ÷ (2/2) = 3/4

(24/32) ÷ (4/4) = 6/7

As the simplest forms of 16/24 and 24/32 are not 3/4, they are not equivalent fractions of 3/4.

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Answer:

For x = -2, y would equal -3.

For x = -1, y would equal -2.

For x = 0, y would equal -1.

For x = 1, y would equal 0.

For x = 2, y would equal 1.

Step-by-step explanation:

So what we have to do is plug in the x-values from the table into the equation.

1) y = -2 -1 => y = -3

2) y = -1 - 1 => y = -2

3) y = 0 - 1 => y = -1

4) y = 1 - 1 => y = 0

5) y = 2 - 1 => y = 1

The measure of the angle ∠C is 17°.

The angle having a measure equal to 32° and the angle ∠B form a linear pair. They are supplementary angles. When two lines cross, they generate a pair of neighbouring angles called a linear pair. A linear pair's two angles are always supplementary, which means their measurements add up to 180 degrees. The sum must be equal to 180°.

32° + ∠B = 180°

∠B = 180° - 32° = 148°

Now, we will use the angle sum property of a triangle. The sum of all the angles in a triangle is equal to 180°.

∠B + ∠C + 15° = 180°

148° + ∠C + 15° = 180°

∠C + 163° = 180°

∠C = 180° - 163° = 17°

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The ratios of lines to pages are proportional in both books.

From the information, in In one book, there are 15 lines per page.

In another book, there are 90 lines in every 6 pages. Therefore, the number of lines per page will be:

= Number of line / Number of page

= 90 / 6

= 15 lines per page

Therefore since they're the same for both books as we got 15 lines, they're proportional.

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ANSWER :

[tex] \rm{1.)16a {}^{3}b {}^{17} }[/tex]

= (2ab^5)^4

= 2ab^5×2ab^5×2ab^5×2ab^5

= 16a^4b^9

= 16a^4b^9/ab^3

= 16a^3b^17

[tex] \rm2.) \frac{x {}^{6} y {}^{10} }{a {}^{2}b {}^{14} } [/tex]

= (x^3y^5)^2

= (x^6y^10)

= (ab^7)^2

= (ab^14)

= (x^6y^10)/ab^14

[tex] \rm3.)4mn {}^{7} [/tex]

= 5mn^7 - 1

= 4mn^7

The height h of the triangle is equal 6.2cm

Trigonometric ratios are the ratios of the length of sides of a triangle. These ratios in trigonometry relate the ratio of sides of a right triangle to the respective angle. The basic trigonometric ratios are sin, cos, and tan, namely sine, cosine, and tangent ratios.

In this case, we have some data and we can easily plug in those values and find the height.

We can apply the sine ratio to this problem and solve.

sinθ = opposite / hypothenuse

sin 51 = h /8

h = 8 sin 51

h = 6.2cm

Using trigonometric ratio, the value of h is 6.2cm

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a) A mathematical equation that represents the total cost, t, for a adult tickets and c child tickets is t = $5a + $3c.

b)No, she cannot buy 2 adult tickets and 7 child tickets.

Mathematical equations are relationships between two expressions that are equal on both sides of the equal to sign. An equation is, for instance, 3y = 16.

Given,

Maymont Middle School is selling tickets for the winter musical. Adult tickets cost $5 each and child tickets cost $3 each.

a) Mathematical equation:

represents the total cost, t, for a adult tickets and c child tickets

t = $5a + $3c

A mathematical equation that represents the total cost, t, for a adult tickets and c child tickets is t = $5a + $3c.

b) Ciera has $28.

a = 2 c = 7

Equating values in equation,

= $5(2) + $3(7)

= $10 + $27

= $37

No, she cannot buy 2 adult tickets and 7 child tickets.

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The other end point with the given endpoint (-5, 1) and midpoint (3, -4) is  (11, -9)

A midpoint is a point lying between two points and is in the middle of the line joining the two points.

The mid point formula is represented as follows;

(xₙ, yₙ) = (x₁ + x₂ / 2, y₁ + y₂ / 2)

Let's find the other end point with the given endpoint (-5, 1) and midpoint (3, -4).

Hence,

(3, -4) = (-5 + x₂ / 2, 1 + y₂ / 2)

Therefore,

3 = -5 + x₂ / 2

cross multiply

6 = -5 + x₂

x₂ = 6 + 5

x₂ = 11

-4 =  1 + y₂ / 2

cross multiply

-8 = 1 + y₂

y₂ = -8 - 1

y₂ = - 9

Therefore, the endpoint is (11, -9)

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