how do you expand (5x+ 1)(5x-1)​

Answer:

15

Step-by-step explanation:

9^2+12^2=c^2 use pythagorean thereom

225=c^2 use radical to solve

c=15

Answer:

c = 15

Step-by-step explanation:

Using Pythagoras' identity on the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

c² = 9² + 12² = 81 + 144 = 225 ( take the square root of both sides )

c = [tex]\sqrt{225}[/tex] = 15

Answer:

In basic terms, a population is the total number of individuals, animals, items, observation, data, etc. So the sample, in other words, is a portion, part, or fraction of the whole group, and acts as a subset of the population. Samples are used in a variety of settings where research is conducted.

The constant of proportionality, o slope, is the coefficient multiplying [tex]x[/tex] in the equation. The y-intercept is the constant term added at the end, with no variable:

[tex]y=mx+b[/tex]

Answer:

1. m = -3

2. b = 2

Step-by-step explanation:

Using slope-form equation, y = mx+b where m is the gradient of the line and b is the y-intercept. So in the equation, y = -3x + 2, m is -3 and b is 2.

Answer:

-3

Step-by-step explanation:

3*-3=-9

-9-20=-29

To find the number, we can represent it as 'x' and create an equation. By isolating 'x' using addition and division, we find that the number is -3.

To solve this problem, let's represent the number as 'x'. The product of 3 and the number can be written as 3x. According to the problem, 20 less than 3x is equal to -29.

We can write this as: 3x - 20 = -29. To find the value of x, we need to isolate x. Adding 20 to both sides of the equation, we get: 3x = -9.

Finally, dividing both sides by 3, we find that the number is x = -3.

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Answer:

X=5

Step-by-step explanation:

2X+7=5X-8

7=3X-8

15=3X

5=X

Answer:

X=5

Step-by-step explanation:

Answer:

P(at least one Heart)= 37/64

Step-by-step explanation:

Number of cards in the Deck=52

Number of Hearts=13

Number of Non-Hearts Card=52-13=39

Since we require the probability that the person will get at least one heart, we can first find the probability that the person will not pick a heart out of the three cards and find its complement.

P(Picking three Non Heart Cards)=39/52 X 39/52 X 39/52 =27/64

Therefore:

P(at least one Heart)=1-27/64=37/64

To find the probability of getting at least one heart when selecting 3 cards with replacement from an ordinary deck, subtract the probability of not getting any hearts from 1.

To calculate the probability that the person will get at least one heart, we need to find the probability of getting no hearts and subtract it from 1. There are 52 cards in a deck and 13 of them are hearts. So, the probability of not getting a heart on the first draw is 39/52, on the second draw is also 39/52, and on the third draw is again 39/52. Multiply these probabilities together to get the probability of not getting a heart in any of the three draws. Finally, subtract this probability from 1 to find the probability of at least one heart.

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Answer:

The answer on edu is a prism and A horizontal plane,A vertical plane and a pyramid.Step-by-step explanation:the Letter answer D,E

We will only have cross-sections for the following pairs:

We can define a cross-section as a "cut" of a figure. For example, if you take a sphere and cut it, you will see that the shape of the cutted part is a circle.

So the cross-section for a sphere is a circle.

Now, notice that the figures are 3d and the cross-sections are 2d, so, to make a cross-section, we need a figure and a plane.

With that in mind, the two cases that can form cross-sections are:

Where we have the intersection between figures and planes.

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Answer:

f^-1 = {(0, -3), (7, 2), (-2, -1), (2, 5)}

Answer:

The answer is C because of distributive property. To check just multiply the number outside of the parenthesis by each number or variable inside the parenthesis.

Answer:

C. [tex]3(2x^2 - x + 4)[/tex]

Step-by-step explanation:

You must find the GCF (Greatest Common Factor) that can be applied to all the terms.

In this case, you can only divide everything by 3:

[tex]6x^2-3x+12\\3(2x^2-x+4)[/tex]

[tex]\huge \boxed{\boxed{\textbf{See attached graph}}}[/tex]

Adding a constant [+6] to [f(x)] shifts the entire graph of [f(x)] vertically up by 6 units. This means that every y-value of the original function will increase by 6.

We need to identify a few key points on the original graph of f(x). For example the [f(x)] given has points:

[tex]\boxed{\begin{minipage}{7 cm}Applying Transformation \\ \\(0,-2) \xrightarrow[\text{}]{\text{y+6 = -2+6}} (0,4) \\ \\(1,2) \xrightarrow[\text{}]{\text{y+6 = 2+6}} (1,8) \\ \\(2, 6) \xrightarrow[\text{}]{\text{y+6 = 6+6}} (2,12)\end{minipage}}[/tex]

We can shift each point on the original graph 6 units up. For each point  [(x, y)] on [f(x)], plot the new point at [(x, y + 6)]

After plotting the transformed points, connect them to form the new line, which will be parallel to the original line and shifted 6 units up.

[tex]\hrulefill[/tex]

Answer:

  A)  The number of hours spent painting each house

Step-by-step explanation:

You know that the cost of painting will include the product of the hourly cost (55 or 25) and the number of hours.

The equations have x multiplied by 55 or 25, so it is reasonable to assume that ...

  x represents the number of hours spent painting

Answer:

W =1 1/4Step-by-step explanation:

Let W = what

W - 1/2 = 3/4

Add 1/2 to each side

W -1/2 +1/2 = 3/4+1/2

W = 3/4+1/2

Getting a common denominator of 4

W =3/4+1/2*2/2

W =3/4 +2/4

W = 5/4

Changing to a mixed number

W = 4/4 +1/4

W = 1 +1/4

W =1 1/4

To solve the question 'What minus 1/2 equals 3/4', we set up the equation X - 1/2 = 3/4. We then solve for X by adding 1/2 (equivalent to 2/4) to both sides, resulting in X = 5/4 or X = 1 1/4.

To solve the equation What minus 1/2 equals 3/4, you are basically looking for a number that when subtracted by 1/2 gives 3/4. To find this, we can use the basics of algebra.

Let's let the 'What' variable be X. So the equation becomes: X - 1/2 = 3/4. To solve for X, you would add 1/2 to both sides of the equation. The result is:

X = 3/4 + 1/2.

These are both fractions so we add them according to the rules of adding fractions. Finding a common denominator for the fractions, in this case, 4, we rewrite 1/2 as 2/4. The equation now reads X = 3/4 + 2/4.

Adding them gives us X = 5/4, or, written as a mixed fraction, X = 1 1/4.

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Answer:

16.7%

Step-by-step explanation:

The first thing is to mention that they are two independent events, therefore the final probability is the multiplication of the two.

First event, select shirt. In total there are 4 and you must choose one of them, therefore the probability is:

1/4

Second event, select the pants. In total there are 3 and you must choose one of them, but there are two blue types, therefore any of the two is worth what means that the probability is:

2/3

The final probability:

P = 1/4 * 2/3

P = 0.167

Which means that the probability of choosing a white shirt and a blue pant (light or dark) is 16.7%

Answer:

my guy did you repost this as I just answered this about ten minutes ago

Answer:

HE WAS LAST SEEN HEADING NORTH

Step-by-step explanation:

360: A

25×10×40 = 10000: I

(15×10.5×20)/450 = 7: W

(35×16×50)/800 = 35: S

3168/(22×9) = 16: N

cuberoot(64) = 4: R

6.5×15×8.5 = 828.75: G

4×2×3 = 24: E

3885/(18.5×15) = 14: H

3³ = 27: T

½ (7×9×12) = 378: L

30×20×11 = 6600: D

3600/(2×4÷5) = 90: O

Answer:

It is not 37, it is 34

Step-by-step explanation:

\underline{\text{Define Variables:}}

Define Variables:

​

May choose any letters.

\text{Let }s=

Let s=

\,\,\text{the number of student tickets sold}

the number of student tickets sold

\text{Let }a=

Let a=

\,\,\text{the number of adult tickets sold}

the number of adult tickets sold

\text{\textquotedblleft at most 96 people"}\rightarrow \text{96 or fewer tickets}

“at most 96 people"→96 or fewer tickets

Use a \le≤ symbol

Therefore the total number of tickets sold, s+as+a, must be less than or equal to 96:96:

s+a\le 96

s+a≤96

\text{\textquotedblleft no less than \$990"}\rightarrow \text{\$990 or more}

“no less than $990"→$990 or more

Use a \ge≥ symbol

Each student ticket sells for $7.50, so ss student tickets will bring in 7.50s7.50s dollars. Each adult ticket sells for $12.50, so aa adult tickets will bring in 12.50a12.50a dollars. Therefore, the total amount of revenue 7.50s+12.50a7.50s+12.50a must be greater than or equal to \$990:$990:

7.50s+12.50a\ge 990

7.50s+12.50a≥990

\text{Plug in }59\text{ for }a\text{ and solve each inequality:}

Plug in 59 for a and solve each inequality:

Colton worked 59 adult tickets

\begin{aligned}s+a\le 96\hspace{10px}\text{and}\hspace{10px}&7.50s+12.50a\ge 990 \\ s+\color{green}{59}\le 96\hspace{10px}\text{and}\hspace{10px}&7.50s+12.50\left(\color{green}{59}\right)\ge 990 \\ s\le 37\hspace{10px}\text{and}\hspace{10px}&7.50s+737.50\ge 990 \\ \hspace{10px}&7.50s\ge 252.50 \\ \hspace{10px}&s\ge 33.67 \\ \end{aligned}

s+a≤96and

s+59≤96and

s≤37and

​

7.50s+12.50a≥990

7.50s+12.50(59)≥990

7.50s+737.50≥990

7.50s≥252.50

s≥33.67

​

\text{The values of }s\text{ that make BOTH inequalities true are:}

The values of s that make BOTH inequalities true are:

\{34,\ 35,\ 36,\ 37\}

{34, 35, 36, 37}

Therefore the minimum number of student tickets that the drama club must sell is 34.

Answer:

2088

Step-by-step explanation:

The question does not provide sufficient information to work out the perimeter of the track based on the given area. More information or clarification is necessary.

The subject of the question is unclear. Specifically, the mention of a 'track' and its 'perimeter' suggest a geometry-related question but there isn't enough information. Normally, if the track was a rectangle and you know the area as 4000 square meters, you'd need at least one side length to determine the other side and compute the perimeter. The mention of pi, however, indicates a possible circular track that wouldn't fit the context of a rectangular area. Please provide more information or clarify the question so a more accurate guide can be given.

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Answer:

(-2.4,-1)

Step-by-step explanation:

Answer:

(-2.4, -1)

Step-by-step explanation:

When you mirror a point across the y-axis, which is the vertical axis, the x-coordinate changes it's sign from either positive to negative or negative to positive.

When determining the total gross pay, you should use your hourly wage and tips

The total gross pay is the totality of an individual's total earnings throughout a given period prior to the removal of any deductions such as tax and contribution.

The total gross pay can be calculated annually or daily.

Therefore, we can conclude that when determining the total gross pay, you should use your hourly wage and tips

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Answer: His heart rate his slow

Step-by-step explanation:

Because his heart in the graph does not match the table since the second coordinate is somewhere near 128 the line doesn’t go on that side.

Answer:

14 days

Step-by-step explanation:

The half life of a substance is the time required until the object has only half of the inicial mass.

So, to find the inicial mass of the object, we use t = 0 in the equation A(t):

A(0) = 600*e^0 = 600

Half of this mass is 300, so we can use A(t) = 300 and then find the time:

300 = 600e^-0.05t

e^-0.05t = 0.5

ln(e^-0.05t) = ln(0.5)

-0.05t = -0.6931

t = 13.862 days

Rounding to nearest day, we have that t = 14 days

The calculated half-life is approximately 14 days.

To find the half-life of the substance decaying according to the function A(t) = 600[tex]e^{-0.05t}[/tex], we start by utilizing the definition of half-life. The half-life (t1/2) is the time required for the amount of the substance to reduce to half its initial quantity.

Given:

1. At half-life, A(t1/2) = A0 / 2, which means:

600 / 2 = 600[tex]e^{-0.05(t1/2)}[/tex]

2. Simplifying this equation:

300 =  600[tex]e^{-0.05(t1/2)}[/tex]

0.5 =  [tex]e^{-0.05(t1/2)}[/tex]

3. Taking the natural logarithm on both sides gives:

ln(0.5) = -0.05t1/2

ln(0.5) ≈ -0.693

So,

-0.693 = -0.05t1/2

t1/2 = 0.693 / 0.05 ≈ 13.86 days

Rounding to the nearest day, the half-life is approximately 14 days.

Answer:

Let's consider:

Car rent function: [tex]C(x)=240+0.25x[/tex]

Minivan rent function: [tex]M(x)=180+0.40x[/tex]

[tex]C(x)=M(x)[/tex]

[tex]240+0.25x=180+0.40x[/tex]

[tex]60=0.15x\\x=400[/tex]

Finally:  After how many miles is the total charge for each vehicle the same?

After 400 miles.

Answer:

c) 0

Step-by-step explanation:

C) -0.0035A + 70 = -0.0035 * 2000 +70

                       = -70 + 70 = 0

Answer:

D. 5.0

Step-by-step explanation:

When the ball hit the ground, height h =0

So,

h= -4.9t² + 25t

0 = -4.9t² +25t

t(-4.9t+25)=0

t=0 (start) , and -4.9t+25=0,   4.9t =25,    t≈5.1(finish)

D.5.0

Answer:

241 tons

Step-by-step explanation:

312-170=142

142÷2=71

170+71=241

241+71=312

train B weighs 241 tons

Answer:

Step-by-step explanation:

   i believe train A weighs 137 tons and train B weighs 60 tons. sorry took me a while plese dont report

Answer:

42.43  [tex]cm^{2}[/tex]

Step-by-step explanation:

Given:

A circle with a radius of 5 cm sits inside a 11 cm x 11 cm rectangle.

Question asked:

What is the area of the shaded region as shown in the figure ?

Solution:

First of all calculate area of circle and then area of rectangle:-

[tex]Area\ of\ cirle=\pi r^{2}[/tex]

                      [tex]= =\frac{22}{7} \times5\times5\\ \\ =\frac{550}{7}\\ \\=78.571[/tex]

As here length an width both are 11 cm, we can say that this is a square.

[tex]Area\ of\ square=(Side)^{2}[/tex]

                          = [tex]=11\times11=121\ cm^{2}[/tex]

Now, area of shaded region = Area of square - Area of circle

                                               = 121 - 78.571 = 42.429 [tex]cm^{2}[/tex]

Therefore, the area of the shaded region will be 42.43  [tex]cm^{2}[/tex]

Answer:

y=4x+13

y=3x2-x-1

Step-by-step explanation:

the two are only functions given in the option