I don’t know can somebody help me out

The mathematical operation which took place between the first step and the second step from the derivation of the quadratic formula is: B. completing the square.

A quadratic equation can be defined as a mathematical expression (equation) that can be used to define and represent the relationship that exists between two or more variable on a graph. In Mathematics, the standard form of a quadratic equation is given by;

ax² + bx + c = 0

Mathematically, the quadratic formula can be derived as follows:

x² + b/ax +c/a = 0

x² + b/ax  = -c/a

x² + b/ax + (b/2a)² = - c/a + (b/2a)² [completing the square]

(x + b/2a)² = b²/4a² - c/a

x + b/2a = √(b²/4a² - c/a)

[tex]x = \frac{-b\; \pm \;\sqrt{b^2 - 4ac}}{2a}[/tex]

In conclusion, the step which is shown in the image above for the derivation of the quadratic formula was derived by using completing the square method.

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Answer:   THE CORRECT ANSWER IS    Factoring a perfect square trinomial

Step-by-step explanation:

Answer:

Step-by-step explanation:

The correct answer by using divisibility rules is:

a) Exactly one of these statements is false.

Statement 1: If two numbers are co-primes, at least one of them must be prime.

This statement is true. Two numbers are considered co-prime if their greatest common divisor (GCD) is 1. If both numbers are not prime, it means they have factors other than 1 and themselves. In that case, their GCD would be greater than 1, contradicting the definition of co-prime numbers. Therefore, at least one of the two co-prime numbers must be prime.

Statement 2: If a number exactly divides two numbers, then it must also divide their sum.

This statement is false. Just because a  number divides two other numbers, it does not necessarily mean that it will divide their sum. For example, consider the numbers 6, 8, and 14. 6 and 8 are both divisible by 2, but their sum, 14, is not divisible by 2.

Based on the analysis above, exactly one of these statements is false.

Therefore, the correct answer by using divisibility rules is:

a) Exactly one of these statements is false.

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Answer:

There would be a 25% percent chance for each card.

Step-by-step explanation:

5 cards.

You pick 1 and didn't put it back in the deck and mix the cards again

There would be 4 cards left and 100 ÷ 4 would be 25.

There are 4 possible outcomes.

Possible outcomes are the possible results of an experiment. For example, when you flip a coin, the coin could land on heads or the coin could land on tails.

Given that, there are 5 cards they are colored red, yellow, green, white, and black. you mix up the cards and select one of them without looking. then, without putting that card back, you mix up the remaining cards and select another one.

We need to find the possible outcomes,

The initial cards = 5

One is being picked and removed,

5-1 = 4

Hence, there are 4 possible outcomes.

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Answer:

None of the options represent the right answer. (Real answer: [tex]y = 24\cdot x^{2}[/tex])

Step-by-step explanation:

The parabola shown above is vertical and least distance between focus and directrix is equal to [tex]2\cdot p[/tex]. Then, the value of p is determined with the help of the Pythagorean Theorem:

[tex]2\cdot p = \sqrt{(0-0)^{2}+[6-(-6)]^{2}}[/tex]

[tex]2\cdot p = 12[/tex]

[tex]p = 6[/tex]

The general equation of a parabola centered at (h,k) is:

[tex]y-k = 4\cdot p \cdot (x-h)^{2}[/tex]

It is evident that parabola is centered at origin. Hence, the equation of the parabola in standard form is:

[tex]y = 24\cdot x^{2}[/tex]

None of the options represent the right answer.

Answer:

  y equals 1 divided by 24 x squared  

Step-by-step explanation:

Just took the test

Answer:

a

Step-by-step explanation:

its a because i looked it up and it said a

Answer:

169.6

Step-by-step explanation:

We can use trig to find the missing side (sin specifically).  sin(x)=opposite/hypotenuse.  where x is the angle.  VWX is 20 degrees.  The side opposite to that angle is VX or 58.  We dont know the hypotenuse.  If we were to substitute values into sin(x)=opposite/hypotenuse, we would get sin(20)=58/hypotenuse.  sin(20) in the calculator is 0.342020143...  so we can rewrite the equation as 0.342020143=58/hypotenuse.  Lets call the hypotenuse h.  If we multiply h on both sides, we can try to find what h is equal to.  0.342020143h=58.  Now we can divide 0.342020143 on both sides to isolate h.  h=169.58... or if we round it, we get 169.6

Answer:

x stands for the number of cars washed with the supplies.

Step-by-step explanation:

Given;

Profit equation; y = 4x - 45

Price of supplies = $45

Amount received per car wahed = $4

From the equation given, we can notice that the higher the value of x the higher the profit generated.

Since, for washing a car brings $4, 2 car is $8 and so on... So the value of x is the number of cars washed with the supplies.

x stands for the number of cars washed with the supplies.

For example, if we wash 15 cars. x = 15

y = 4(15) - 45 = 60 - 45

y = $15

Answer:

[tex] 12.0^\circ [/tex]

Step-by-step explanation:

Think of a right triangle. It may help you to draw it.

Start at a point. Draw a point and label it point A. That is where the plane takes off from. Now draw a diagonal segment tilted up to the right and stop at a point and label it B. Segment AB is the path of the airplane. Now draw a segment down  vertically to a point you will label C, so that points A and C are on the same horizontal line. Connect points A and C.

You now have a right triangle. Angle C is the right angle. AB is the hypotenuse and is 5.4 km. That is the actual distance the plane traveled. BC is 1.12 km (since 1120 m = 1.12 km) and is a leg of the right triangle. The angle you are looking for is angle A.

For angle A, BC is the opposite leg. AB is the hypotenuse.

The trig ratio that relates the opposite leg to the hypotenuse is the sine.

[tex] \sin A = \dfrac{opp}{hyp} [/tex]

[tex] \sin A = \dfrac{1.12~km}{5.4~km} [/tex]

[tex] \sin A = 0.2074 [/tex]

[tex] A = \sin^{-1} 0.2074 [/tex]

[tex] A = 12.0^\circ [/tex]

Answer: 12.0 degrees

Answer:

4/7

Step-by-step explanation:

Since there are 7 possible outcomes because there are 7 triangles the denominator will be 7. Since there are 4 white squares the chances of landing on one is 4/7

Answer:

[tex]g^{-1} (7)=5[/tex]

Step-by-step explanation:

We are asked to find [tex]g^{-1} (7)[/tex].

One thing to remember about the inverse of a function is what exactly an inverse means.

If we have the ordered pair [tex](a,b)[/tex] of function [tex]g[/tex], then the corresponding ordered pair of [tex]g^{-1}[/tex] would be [tex](b,a)[/tex].

As we are asked to find [tex](7,b)[/tex] of  [tex]g^{-1}[/tex], we can instead find [tex](b,7)[/tex] of [tex]g[/tex].

This means that we are looking for where [tex]g(b)=7[/tex].

From the graph, we can see that for this to be true, [tex]b=5[/tex]

This means that [tex]g^{-1} (7)=5[/tex]

The value of g^-1(7) is 5.

What is the value of g^-1(7)?

A function f from a set X to a set Y is said to be invertible if for every y in Y and x in X, there exists a function g from Y to X such that f(g(y)) = y and g(f(x)) = x. function is invertible only if each input has a unique output. That is, each output is paired with exactly one input. That way, when the mapping is reversed, it will still be a function.

Given that:

One thing to remember about the inverse of a function is what exactly an inverse means.

If we have the ordered pair (a, b) of function g , then the corresponding ordered pair of g^-1 would be (b, a).

As we are asked to find (7,b)  of  g^-1, we can instead find (b, 7) of g .

This means that we are looking for where  g(b)=7.

From the graph, we can see that for this to be true, b=5.

So, the value of g^-1(7) is 5.

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Answer:

344.2m/s

Step-by-step explanation:

The parameters given are:

Distance=895meter

Time=2.6seconds

Therefore the speed of sound is:

Speed of sound= distance/time taken

= 895/2.6

=344.23

=344.2m/s ( to the nearest tenth)

Answer:

d 344.2 meters per second

Step-by-step explanation:

edge 2021

Distance formula: d = √(x2-x1)^2 + (y2-y1)^2

d = √(5-2)^2 + (10-6)^2

d = √3^2 + 4^2

d = √9 + 16

d = √25

d = 5

The distance is 5 units.

Best of Luck!

Answer:

All of the above

Step-by-step explanation:

dy/dt = y/3 (18 − y)

0 = y/3 (18 − y)

y = 0 or 18

d²y/dt² = y/3 (-dy/dt) + (1/3 dy/dt) (18 − y)

d²y/dt² = dy/dt (-y/3 + 6 − y/3)

d²y/dt² = dy/dt (6 − 2y/3)

d²y/dt² = y/3 (18 − y) (6 − 2y/3)

0 = y/3 (18 − y) (6 − 2y/3)

y = 0, 9, 18

y" = 0 at y = 9 and changes signs from + to -, so y' is a maximum at y = 9.

y' and y" = 0 at y = 0 and y = 18, so those are both asymptotes / limiting values.

Answer: 13% :D

Step-by-step explanation: Hope it helps

Answer:

13%

Step-by-step explanation:

:D

The answer would be 1.03! hopes this helps!

Answer:

1.03

Step-by-step explanation:

i did the assignment on edg 2020/2021

Answer:

Check Explanation

Step-by-step explanation:

The diagram for this question is missing, but from the setup of the question, it is evident that the triangle to obtain cos α from is a right angled triangle.

It is evident from the options provided that the right angled triangle is one with dimensions of 20, 21 and 29.

These three dimensions perfectly form a Pythagorean triple.

So, the value of cos α now depends on the setup of the triangle.

From trigonometric relations, if α is an angle in the right angled triangle, cos α is given mathematically as

Cos α = (Adj/Hyp)

For this Pythagorean triple,

Hyp = hypotenuse side = 29

Adj = Adjacent side = 20 or 21, depending on the triangle's setup.

If the adjacent is 20,

Cos α = (20/29), option A is correct.

If the adjacent is 21,

Cos α = (21/29), option C is correct.

Hope this Helps!!!

Answer:

Option (3).

Step-by-step explanation:

This question is incomplete; find the compete question in the attachment.

Equation (1):  q = d + n

"Total number of quarters is equal to the sum of number of dimes and nickels."

Equation (2): 0.25q + 0.10d + 0.05n = 6.05

"Total value of the coins in the jar is $36"

Equation (3) : q + d + n = 36

"There are a total of 36 coins in the jar."

By comparing the options given, we find the third option which matches with equation (3)

Therefore, option (3) is the correct answer.

Answer:l think it's 6

Step-by-step explanation:

You 1/2×4×3

=6

Answer:

12 pi

Step-by-step explanation:

First find the area of  full circle

A = pi r^2  where r is the radius

A = pi (4)^2

A = 16 pi

This is 3/4 of a circle so multiply the area by the fraction of a circle

3/4*16pi = 12 pi

Answer:

[tex]12\pi[/tex] or 37.70 (rounded)

Step-by-step explanation:

To work this out you would first need to work out the area of this circle. You can do this by multiplying pi by the radius of 4 squared, this gives you 50.27 or [tex]16\pi[/tex].

Then in order to work out the area of this part of the circle you would have to divide the area 50.27 or 16pi by 4, this gives you 4 pi or 12.57. This is because the angle of the missing part is 90 degrees or a right angle, and because 360 divided by 4 is 90 this meant that the question is asking to work out [tex]\frac{3}{4}[/tex]of a circle and so by dividing it by 4 we are working out the area of one quadrant.

Then the final step is to multiply 4 pi or 12.57 by 3, this gives you 12 [tex]\pi[/tex] and 37.70.

1) Multiply pi by 4 squared.

[tex]\pi*4^{2} =16\pi or 50.27[/tex]

2) Divide 50.27 by 4.

[tex]16\pi or 50.27 /4=4\pi or 12.57[/tex]

3) Multiply 12.57 by 3.

[tex]12.57*3=12\pi or 37.70[/tex]

The piece of wood would sink if a piece of wood with a mass of 48 grams and a volume of 47.4 cubic cm, and a density is 1 g/cm³.

It is defined as the mass-to-volume ratio. The density indicates the object's density and is represented by the symbol. The density is measured in kilograms per cubic meter.

We have:

Mass of the piece of wood = 48 grams

The volume of the piece of wood = 47.4 cubic cm

As we know, from the definition of density, density is the mass-to-volume ratio.

d = mass/volume

d = 48/47.4

d = 1.01 g/cm³ ≈ 1 g/cm³

As we know,

It will float if the volume is larger than the mass and sink if the reverse is true.

Thus, the piece of wood would sink if a piece of wood with a mass of 48 grams and a volume of 47.4 cubic cm, and a density is 1 g/cm³.

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Answer:

idk

Step-by-step explanation:

idk :)

The ordered pair that has a rise of -2 and a run of 3, and also lies on the same line as the point (6, 2) is: d) (9,0) and (12, -2)

The rise of the ordered pair, (9,0) and (12, -2):

Rise = change in y =  -2 - 0 = -2.

The run of the ordered pair, (9,0) and (12, -2):

Run = change in x = 12 - 9 = 3.

Therefore, the ordered pair that has a rise of -2 and a run of 3, and also lies on the same line as the point (6, 2) is: d) (9,0) and (12, -2)

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Answer:

11000

Step-by-step explanation:

Answer:

[tex]76.0m^2[/tex] (you have to have the .0 since it says to round to the nearest tenth)

Step-by-step explanation:

The formula for the surface area of a rectangular prism is:

[tex]A=2(wl+hl+hw)[/tex]

So just plug in the values.

Height= 4

Width=2

Length=5

[tex]A=2((2)(5)+(4)(5)+(4)(2))\\A=2(10+20+8)\\A=2(38)\\A=76m^2[/tex]

answer:  

82.0476 i think

Step-by-step explanation:

Answer:

82.04 dollars

i hope this was helpful

Step-by-step explanation:

Answer:

[tex]x = \frac{53}{8} [/tex]

alternative form:

[tex]x = 6 \frac{5}{8} \: or \: x = 6.625[/tex]

Step-by-step explanation:

[tex] \frac{7}{2} x + \frac{1}{2} x = 22 + \frac{9}{2} \\ add \: \frac{7}{2}x \: to \: \frac{1}{2} x \\ \\ 4x = 22 + \frac{9}{2} \\ add \: 22 \: to \: \frac{9}{2} \\ \\ 4x = \frac{53}{2} \\ divide \: both \: sides \: by \: 4 \: \\ \\ x= \frac{53}{8} [/tex]

Answer:

Y = $2x + 8

Step-by-step explanation:

Variable cost per line = $2.00

For 3 lines, the Variable cost = $2 x 3 = $6

Total cost for 3 lines = $14.00

Fixed Charges = $14 - $6 = $8

Using the formula, total cost, Y = $2x + $8 = $14

Where x = number of lines needed.

Therefore, total cost, Y = ($2 x 3) + $8 = $14

Answer:

43750 pesos

Step-by-step explanation:

The first thing is to establish the formula in this case as it is a normal distribution is as follows:

z = x - m / sd

where x is the point value, m the mean, sd the standard deviation and z is the z score, we can calculate the z score by means of this 4% and it is found in the normal distribution table.

for 4%. z = 1.75

replacing:

1.75 = (70000 - m) / 15000

m = -1.75 * 15000 + 70000

m = -26250 + 70000

m = 43750

therefore we have that the average is 43750 pesos

Answer:

30%

Step-by-step explanation:

Answer:

33.333333333333%

Step-by-step explanation:

Function f likely had more residuals near the y-axis than function g

A residual is the difference between the observed y-value (from scatter plot) and the predicted y-value (from regression equation line). It is the vertical distance from the actual plotted point to the point on the regression line.

Given here function g plots the model more accurately than function f thus this can only be when function f has more residuals because g plots the model more accurately.

Hence, Function f likely had more residuals near the y-axis than function g

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