What’s the first step

Answer:

The answer:

A. [tex]x= \frac{-5+ \sqrt{-11} }{2}[/tex]

F.[tex]x= \frac{-5- \sqrt{-11} }{2}[/tex]

Step-by-step explanation:

Step 1: Solve with quadratic formula

Step 2: Simplify

Step 3: Separate the solution

Answer:

[tex]\large {\textsf{A and F}}\ \implies \bold{x_1}=\dfrac{-5-\sqrt{-11}}{2},\ \bold{x_2}=\dfrac{-5+\sqrt{-11}}{2}[/tex]

Step-by-step explanation:

Quadratic Formula: [tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

Standard Form of a Quadratic Equation: ax² + bx + c = 0, where a ≠ 0.

Given polynomial: x² + 5x + 9

⇒ a = 1, b = 5, c = 9

Step 1: Rewrite to Standard Form.

⇒ x² + 5x + 9 = 0

Step 2: Substitute the values of a, b, and c into the formula.

⇒ a = 1, b = 5, c = 9

[tex]x=\dfrac{-5\pm\sqrt{\bold{5^2}-4\bold{(1)(9)}}}{\bold{2(1)}}\\\\x=\dfrac{-5\pm\sqrt{25\bold{\ - \ 4(9)}}}{2}\\\\x=\dfrac{-5\pm\sqrt{\bold{25-36}}}{2}\\\\x=\dfrac{-5\pm\sqrt{-11}}{2}[/tex]

Step 3: Separate into two possible cases.

[tex]x_1=\dfrac{-5-\sqrt{-11}}{2}\\\\x_2=\dfrac{-5+\sqrt{-11}}{2}[/tex]

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The number of passwords that would be allowed if users were allowed to reuse the letters and numbers is 30891577600

The given parameters are:

Password length = 8

Letters = 6

Numbers = 2

There are 26 letters and 10 digits.

Since the letters and the numbers can be repeated, then the number of passwords is:

Count = 26^6 * 10^2

Evaluate

Count = 30891577600

Hence, the number of passwords that would be allowed if users were allowed to reuse the letters and numbers is 30891577600

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Answer:

if I'm correct it's where the 2 lines meet, which would mean the answer to be (-3,2)

Answer: x = 7

Step-by-step explanation:

First, we will plug 4 in for y. Then, to solve we will isolate the variable "x" in the equation.

  Given:

8x – 2y = 48

  Plug in the y value of 4:

8x – 2(4) = 48

  Multiply -2 times 4:

8x – 8 = 48

  Add 8 to both sides of the equation:

8x = 56

  Divide both sides of the equation by 8:

x = 7

Answer:

x=7

Step-by-step explanation:

8x – 2y = 48

Let y=4

8x -2(4) = 48

8x - 8 = 48

Add 8 to each side

8x-8+8= 48+8

8x = 56

Divide by 8

8x/8 = 56/8

x = 7

The value of RXV = 35.

A set of equation which have common factor that satisfies them are called system of equations.

It is given that

RXS=15

SXT=3

TXV=7

RXV=??

RX = 15/S

S = 3/XT

XT = 7/V

On solving we get

RX = 15 * XT/3

RX =15 *7/3 V

RXV = 35

Therefore the value of RXV = 35.

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For the mode to be 6, there has to be at least two 6s.

For the median to be 6, with two 6s, there must be at least one number above 6.

For the mean to be 6, the sum is 30, so the three remaining numbers must total 18.

The expression which is equal to the expression [tex]x^{2} yx^4} y^{3} xy^{2}[/tex] is as [tex]x^{7} y^{6}[/tex].

Given Expression   [tex]x^{2} yx^4} y^{3} xy^{2}[/tex] and we have to find the expression equal to this.

Two variables are present in the given expression x and y but both are in different form or powers.

x is having power 2 , 4 and 1 so because the base is same for all and they are in multiplied form so we will add the powers to form [tex]x^{4+2+1}\\[/tex]

=[tex]x^{7}[/tex]

Now y is having 1,3,2 powers so because the base is same for all and they are in multiplied form so we will add all the powers to form [tex]y^{6}[/tex]

Now multiply both to get the required expression which is [tex]x^{7} y^{6}[/tex].

Hence the expression which is equal to the given expression is [tex]x^{7} y^{6}[/tex].

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Answer:

The third option: y=4x-2

Step-by-step explanation:

Slope-intercept form formula is: y=mx+b

First option is not correct because it has a number before the y value.

Second option is not correct because x is on the left of the equal side instead of the right.

Third option is correct.

Fourth option is not correct because it is written in standard form.

Hope this helps!

If not, I am sorry.

The graph second represents the line that is perpendicular to the line y = 4x - 2 option  (B) is correct.

The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

The question is incomplete:

The complete question is:

Consider the equation y = 4x - 2 Which graph shows a line that is perpendicular to the line defined by the given equation?

Please refer to the attached picture.

The given line:

y = 4x - 2

The slope of the line m = 4

The slope of the line which is perpendicular to the above line:

M = -1/4 = -0.25

The graph second has a slope of -0.25

[tex]\rm y\ -2\ =\ \dfrac{\left(2-0.5\right)}{-4-2}\left(x+4\right)[/tex]

y - 2 = -0.25x - 1

y = -0.25x + 1

Thus, the graph second represents the line that is perpendicular to the line y = 4x - 2 option  (B) is correct.

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Answer:

length = 10 in, width = 6 in

Step-by-step explanation:

Let the width be x.

Then, length = (x+4)

Area = 60 in²

Area of a rectangle = width × length

60 = x × (x+4)

60 = x² + 4x

x² + 4x - 60 = 0

Splitting the middle term :-

x² + 10x - 6x - 60 = 0

x (x + 10) - 6 ( x + 10) =0

(x + 10) ( x - 6)

x = -10 (doesn't fulfill our requirement)

x = 6

So, width = 6 in

length = 6+4 = 10 in

The average rate of change of the function in the given interval -3 ≤ x ≤-1 is 10.

The average Rate of Change of the function f(x) can be calculated as;

[tex]f(x) = \dfrac{f(b) - f(a)}{b-a}[/tex]

Interval -3 ≤ x ≤-1

a = -3, b = -1

f(a) = f(-3) = -20

f(b) = f(-1) = 0

Step 2: Find Average

[tex]f(x) = \dfrac{f(b) - f(a)}{b-a}\\\\\\f(x) = \dfrac{f(-1) - f(-3)}{-1-(-3)}\\\\\\f(x) = \dfrac{0 - (-20)}{2}\\\\f(x) = 10[/tex]

Therefore, the average rate of change of the function in the given interval -3 ≤ x ≤-1 is 10.

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Answer:

x^2-3x-1

Step-by-step explanation:

So we have the equation:

x^3-2x^2-4x-1/x+1

First factor the equation:

(x+1)(x^2-3x-1)/x+1

Then cancel the common factor: x+1 to solve the equation:

x^2-3x-1

Answer:

LKO = NMO

Step-by-step explanation:

This is because both of the angles lie on the same "vertical angle", the line segment that connects M to K. The segment MN is also parallel to segment LK. If you have two congruent line segments, then the measure of the angles are congruent.

Answer:

Son's Age: 11

Mary's Age: 33

Step-by-step explanation:

Let set Mary and her son as variables,

M = Mary's age

S  = Mary's son age

Breakdown:

"Mary is three times as old as her son"

M = 3S

"In 12 years, Mary's age will be one less than twice her son's age"

M + 12 = 2(S + 12) - 1

we add 12 to both sides as it will be in 12 years for both

We know that M = 3S, so we plug this in

3S + 12 = 2(S + 12) - 1

Now solve for S (son's age),

3S + 12 - 12 = 2(S + 12) - 1 - 12

3S = 2(S + 12) - 13

3S = 2S + 24 - 13

3S - 2S = 2S - 2S + 24 - 13

S = 24 - 13

S = 11

To find Mary age, plug in her son age ,

M = 3S

M = 3(11)

M = 33

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Answer:

please suscribe my chsnnal

clue technical

Answer:

6.2172

Step-by-step explanation:

sin129=h/8

h=8(sin129)

8 x 0.77714596... =

6.2172

I just did it.

The Sine or Sinθ in a right-angle triangle is the ratio of its perpendicular to its Hypotenuse. The height of the triangle is 6.2172 cm.

The Sine or Sinθ in a right-angle triangle is the ratio of its perpendicular to its Hypotenuse. it is given as,

Sin(θ) = Perpendicular/Hypotenuse

where,

θ is the angle,

Perpendicular is the side of the triangle opposite to the angle θ,

The hypotenuse is the longest side of the triangle.

In the given diagram let the centre of the circle be represented by O, while the point at which line segment h and the circle intersect be represented by B. Also, the point at which the 90° angle is formed is represented by A.

Now, in the ΔABO, for the ∠AOB, the sine ratio of the trigonometric function can be written as,

sin(θ) = perpendicular / Hypotenuse

sin(51°) = AB / OB

sin(51°) = h/ 8 cm

8cm × sin(51°) = h

h = 6.2172 cm

Hence, the height of the triangle is 6.2172 cm.

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Step-by-step explanation:

Brackets is the bigger version of parentheses, you first solve the questions inside the parentheses, then move onto brackets.

For example, this question:

[tex]x=-1\\y=-2\\z=3[/tex]

[tex]5x-y[7-4(z-y)][/tex]

plug in x, y, and z.

[tex]5(-1)-(-2)[7-4(3-(-2))][/tex]
[tex]5(-1)-(-2)[7-4(5)][/tex]

[tex]5(-1)-(-2)[7-20][/tex]

[tex]5(-1)-(-2)[-13][/tex]

[tex]-5-(-2)[-13][/tex]

[tex]-5-26[/tex]

[tex]-31[/tex]

I hope you understand better now.

Answer:

If you're asking for the interest:

a) 960

b) 80

c)2.63 approx.

Step-by-step explanation:

interest = principal x rate x time OR [tex]I = prt[/tex]

TIME IS IN YEARS.

Thus, the first would be [tex]I = 4000 *4 *6%[/tex]% = 960

Second: 4 months = [tex]\frac{1}{3}[/tex] year

I = 4000x[tex]\frac{1}{3}[/tex]x6% = 80

Third: t = 4 days =[tex]\frac{4}{365}[/tex]year

I = 4000x6%x[tex]\frac{4}{365}[/tex] ≈ 2.63

Answer:

B=hyperbolic geometry

The missing statements with regard to the mathematical proof are:

It is to be noted that an intercepted arc is the arc that sits inside the inscribed angle. See the attached image.

Thus, it is correct to state that

The missing statements with regard to the mathematical proof are:

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Answer:

Volume = (1/2)[tex]x^{3}[/tex]           [(1/2)x^3]

Step-by-step explanation:

The volume of a right rectangular prism is given by:

Volume = (length)*(width)*(height)

Volume = (x)*(x)*((1/2)x)

Volume = (1/2)[tex]x^{3}[/tex]

[tex] \frac{15}{4} - 7x = 9 \\ \\ \frac{15}{4} - 9 = 7x \\ \\ 7x = \frac{15 - 36}{4} \\ \\ 7x = \frac{ - 21}{4} \\ \\ x = \frac{ - 21}{4 \times 7} \\ \\ x = \frac{ - 3}{4} .[/tex]

The unit rate is the rate for one of something (Taken from HMHCO).

For instance, you could say that Bob can make 6 gift cards in 3 hours. The unit rate would be 2 gift cards per hour. We solved for this by dividing both values by 3.

3 dollars per toy

This is a unit rate. Why? Because it gives us the rate, 3 dollars, and it is for one of something, which this case would be toys.

1 toy per 5 dollars

This is not a unit rate. Why? We still get the rate, 1 toy, but this time it isn't for one of something, which in this case is dollars. It is a rate for 5 dollars, not 1 dollar.

1 toy per 5 dollars

Answer:

84/5 should be the answer

Step-by-step explanation:

cross multiply

The area bounded by the curves y = 8x – x² and y = 7 will be 36 square units.

The complete question is given below.

When the two curves intersect then they bound the region is known as the area bounded by the curve.

The curves are given below.

y = 8x – x²

y = 7

By solving the equations 1 and 2, then we have

       8x – x² = 7

x²  – 8x + 7 = 0

(x – 1)(x – 7) = 0

                 x = 1, 7

Then the area bounded by the curves y = 8x – x² and y = 7 will be

[tex]A = \int _1^7 [(8x - x^2) - 7] \ dx\\\\A = \left [ 4x^2 - \dfrac{x^3}{3} - 7x \right ]_1^7\\\\A = \left [ 4 * 7^2 - \dfrac{7^3}{3} - 7*7 \right ] - \left [ 4*1^2 - \dfrac{1^3}{3} - 7*1 \right ]\\\\[/tex]

On further solving we have

A = 32.667 + 3.333

A = 36 square units

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Answer:

B. Similar discs

Step-by-step explanation:

Definitions

Cone: A three-dimensional solid figure that has a circle at one end (the "base"), a point at the other end (the [tex]\sf a\:\!pex[/tex]), and a curved side.

Right Cone:  A cone where the [tex]\sf a\:\!pex[/tex] is aligned on the center of the base.

Oblique Cone:  A cone where the [tex]\sf a\:\!pex[/tex] is not centered over the base.

Horizontal Cross-section: The intersecting plane parallel to the base of the solid figure.

Congruent:  The same shape and size.

Similar:  When one shape can become the other after being resized, reflected, translated or rotated.

Disc: The region in a plane bounded by a circle.

Polygon: A two-dimensional closed shape with a minimum of 3 straight sides.

Therefore, the horizontal cross-sections of an oblique cone are similar discs.

Answer:

Step-by-step explanation:

The events "male” and "buys lunch” are not independent because P(male | buys lunch) = 0.4 and P(male) = 0.3.

James surveyed people at school and asked whether they bring their lunch to school or buy their lunch at school more often. The results are shown below.

Bring lunch: 46 males, 254 females

Buy lunch: 176 males, 264 females

The events "male" and "buys lunch" are not independent because

The number of male students is:

Male = 46 + 176

Male = 222

The number of female students is:

Female = 254 + 264

Female = 518

The total student is:

Total = 222 + 518

Total = 740

Next, calculate the probability of selecting a male student

P(Male) = 222/740

P(Male) = 0.3

Of all the 440 that buy lunch, 176 are male,

So, we have:

P(male | buy lunch) = 176 / 440

P(male | buy lunch) = 0.4

Because

P(male | buy lunch) and P(male) are not equal.

Then, the events "male” and "buys lunch” are not independent

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