A group of 30 individuals are trying out for the soccer team. Only the top 11 make it in the team. Find the number of possible teams?

Answer:

x=7/2 and x=-2/7

Step-by-step explanation:

By the Zero Product Property, we will set both expressions equal to 0 and solve:

p(x) = (2x-7)(7x+2)

0 = (2x-7)(7x+2)

2x-7=0 and 7x+2=0

2x=7 and 7x=-2

x=7/2 and x=-2/7

The factors of the polynomial are (2x – 7) and (7x + 2). Then the zeroes will be 7/2 and negative 2/7.

It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.

The polynomial is given below.

p(x) = (2x – 7)(7x + 2)

Then the zeroes of the polynomial will be

The factor of the polynomial is already given. Then the zeroes will be

x = 7/2, -2/7

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Answer:

Expressions A, C, D are equivalent

Step-by-step explanation:

Equivalent expressions:

Two expressions are equivalent if they give the same result. So

Option A:

3(2 + 4x)  =3*2 + 3*4x = 6 + 12x

So equivalent

Option B:

3(2 + 6x) + 2x = 3*2 + 3*6x + 2x = 6 + 18x + 2x = 6x + 20. So not equivalent

Option C:

5(1+2x) + 1 + 2x = 5*1 + 5*2x + 1 + 2x = 5 + 10x + 1 + 2x = 6 + 12x.

Equal, so equivalent

Option D:

7*(1+2x) - 2x - 1 = 7*1 + 7*2x - 2x - 1 = 7 + 14x - 2x - 1 = 6 + 12x

Equal, so equivalent.

Option E:

7*(1+2x) + 2x - 1 = 7*1 + 7*2x - 2x - 1 = 7 + 14x + 2x - 1 = 6 + 16x

Different, so not equivalent.

Answer:

Find an interquartile range for an odd set of numbers: Second ... — (1, 2, 5, 6, 7, 9), (9, 12, 15, 18, 19, ... Box Plot interquartile range: How ... Example question: Find the interquartile ... Q1 is represented by the left ... (GPA) in the following data set: ... The “1” in this Excel formula(A2:A10,1) represents the ...

Step-by-step explanation:

Answer:

D. 22

Step-by-step explanation:

Your answer is correct sir :)

Answer:

11

Step-by-step explanation:

27.5/2.5

Answer:

$1.55

Step-by-step explanation:

(0.92/4) + (4 x 0.24) + (0.72/2) = 1.55

Answer:

C) 418 cm

Step-by-step explanation:

19*11=209

209*2=418

formula for volume= l*w*h

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Answer:

Step-by-step explanation:

First divide 6 from the left size so it gets cancelled.

Basically 6 (t + 12) = 114 becomes (t + 12) = 114/6

Which becomes (t + 12) = 19

Now, (t + 12) - 12 = 19

Therefore, t = 19 - 12

Answer: t = 7

(whatever you do to one side, most be done to the other side too).

To check,

6(t+12)=114

6(7+12)=114

Solve brackets first, 6(19)=114

114=114

The first operation will be multiplying 6 with t and 6 with 12 and then adding both the terms also t is equal to 7.

This property states that multiplying the total of two or more addends by a number will produce the same outcome as multiplying each addend by the number separately and then adding the results together.

As per the given data:

To apply distributive property in  6 (t + 12) = 114

Distributive property: A (B + C) = A × B + A × C

Now for, 6 (t + 12) = 114

First operation will be multiplying 6 with t and 6 with 12 and then adding both the terms:

6 × t + 6 × 12 = 114

6t + 72 = 114

6t = 114 - 72

6t = 42

t = (42/6) = 7

Hence, the first operation will be multiplying 6 with t and 6 with 12 and then adding both the terms also t is equal to 7.

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Answer:

C

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:

Her gross earnings for that week were $ 363.24.

Step-by-step explanation:

Since Stacy Arrington is paid $ 0.73 for sewing a jacket collar, $ 0.86 for a sleeve with cuffs, and $ 0.94 for a lapel, and one week she sewed 318 jacket collars, 112 sleeves with cuffs, and 37 lapels, to find her gross earnings you must perform the following calculations:

(318 x 0.73) + (112 x 0.86) + (37 x 0.94) = X

232.14 + 96.32 + 34.78 = X

363.24 = X

Therefore, her gross earnings for that week were $ 363.24.

Answer:

Step-by-step explanation:

hello :

here is an solution

Answer:

The answer is b

Step-by-step explanation:

Answer:

The final price will be $12.67

Step-by-step explanation:

Discount = Original Price x Discount %/100

Discount = 14.9 × 15/100

Discount = 14.9 x 0.15

You save = $2.24

Final Price = Original Price - Discount

Final Price = 14.9 - 2.235

Final Price = $12.67

hope this helps and is right. p.s. i really need brainliest :)

Answer: 5

Step-by-step explanation:

Answer:

[tex]C_{22} = 389[/tex]

[tex]Max(A_{31}) =376[/tex]

Step-by-step explanation:

Given

See attachment for complete question

Solving (a): The entry C22

First, matrix C represents the inventory at the end of July.

The entry of C is calculated as:

[tex]C = Inventory - Sales[/tex]

i.e.

[tex]C = \left[\begin{array}{ccc}543&356&643\\364&476&419\\376&903&409\end{array}\right] - \left[\begin{array}{ccc}102&78&97\\98&87&59\\54&89&79\end{array}\right][/tex]

[tex]C = \left[\begin{array}{ccc}543-102&356-78&643-97\\364-98&476-87&419-59\\376-54&903-89&409-79\end{array}\right][/tex]

[tex]C = \left[\begin{array}{ccc}441&278&546\\266&389&360\\322&814&330\end{array}\right][/tex]

Item C22 means the entry at the second row and the second column.

From the matrix

[tex]C_{22} = 389[/tex]

Solving (b): The maximum A31 possible.

From the given data, we have:

[tex]Inventory = \left[\begin{array}{ccc}543&356&643\\364&476&419\\376&903&409\end{array}\right][/tex]

[tex]Unit\ Sales = \left[\begin{array}{ccc}102&78&97\\98&87&59\\54&89&79\end{array}\right][/tex]

From the matrices above.

A31 means entry at the 3rd row and 1st column.

So, the possible values of A31 are:

[tex]A_{31} = 376[/tex]

and

[tex]A_{31} = 54[/tex]

By comparison, 376 > 54

So:

[tex]Max(A_{31}) =376[/tex]  

Answer:

a. True

Step-by-step explanation:

By ∝= 5% we mean that there are about 5 chances in 100 of incorrectly rejecting a true null hypothesis. To put it in another way , we say that we are 95% confident in making the correct decision.

In the given question the null hypothesis is

H0: u ≤ 1 hour and Ha:  u > 1 hour

So there is a 5% chance that the erroneous conclusion will be made that students spend on average more than 1 hour per assignment.

The given statement is true.

The secant of the angle A is 13/4

The given parameter is:

[tex]\tan(A) = -\frac{\sqrt{153}}{4}[/tex]

Using the trigonometry identity, we have:

[tex]\sec^2(A) = \tan^2(A) + 1[/tex]

This gives

[tex]\sec^2(A) = (-\frac{\sqrt{153}}{4})^2 + 1[/tex]

Evaluate the exponent

[tex]\sec^2(A) = \frac{153}{16} + 1[/tex]

Evaluate the sum

[tex]\sec^2(A) = \frac{169}{16}[/tex]

Take the square root of both sides

[tex]\sec(A) = \pm \frac{13}{4}[/tex]

Secant in quadrant IV is positive.

So, we have:

[tex]\sec(A) = \frac{13}{4}[/tex]

Hence, the secant of angle A is 13/4

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Answer:

Range = 45

Median = 75

Step-by-step explanation:

Based on the attached box and whisker plot :

From the plot :

Maximum value = 95

Minimum value = 50

The median value can be obtained from the box and whisker plot. The median value from the plot is ; the green dotted point inside the box :

This point is marked 75.

Hence, median value = 75

Range = maximum - minimum

Range =. 95 - 50 = 45

Answer:

4 feet

Step-by-step explanation:

MN/RT=MO/RS

6/3=8/RS

6RS=24

RS=24/6

RS=4

SORRY IF LATE AND WRONG!!!

Answer:

First term of the given series = 4

The last term of the given series = 11

Step-by-step explanation:

Explanation

Given that the sum of the series

                  ∑⁸ₙ₋₁  (n+3)

The [tex]n^{th}[/tex] term of the given sequence

           aₙ = (n+3)

Put n=1

         a₁ = 1+3 = 4

Put n=2

        a₂ = 2+3 =5

Put n=3

       a₃ = 3+3 = 6

Put n=4

     a₄ = 4+3 =7

Put n=5

    a₅ = 5+3 =8

Put n=6

   a₆ = 6+3 =9

Put n=7

  a₇ = 7+3 = 10

Put n=8

  a₈ = 8+3 =11

The sequence of the given series

          4,5,6,7,8,9,10,11

Final answer:-

First term of the given series = 4

The last term of the given series = 11

Answer:

Step-by-step explanation:

Equation: (3x+7) + (10x+17) = 180

*These are consecutive interior angles and they add to 180 degrees

1.) Add like terms

13x + 24 = 180

2.) Subtract 24 from both sides

13x = 156

3.) Divide each side by 13

x = 12

*Substitute x in both expressions to get angle measures

Value of x: 12

3(12)+7 = 36+7 = 43

10(12)+17 = 120+17 = 137

*Check 43+137 = 180

Angle Measures: 1st angle: 43 degrees

2nd angle = 137 degrees

Answer:

10

Step-by-step explanation:

Can't do that. I have to write some sort of explanation or the mods have a fit.

Side opposite = 5 √3

Sin(60) = √3 /2

Hypotenuse = x

Sin(60) = √3/2 = 5√3 / x

√3/2 = 5√3 / x                  Multiply both sides by x

x √3/2 = 5√3                    Divide both sides by √3

x/2 = 5

x = 10

The hypotenuse is 10 units long.

Answer: 1:2

Since it is a half, we can simply use 1:2 since it is a one-to-two ratio.

A regular polygon has equal side lengths and congruent interior angles.

The sum of the interior angles of any regular polygon is determined using the formula: (n - 2)180, where n is the number of sides.

Thus, given polygon GHIJK has 5 sides, we would have the following:

The polygon is a regular pentagon.

Sum of all its interior angles = (5 - 2)180 = 540°.

Each interior angle = 540/5 = 108°

Therefore, the statement that is true about the regular polygon are:

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Answer: b, c, e

Step-by-step explanation:

Answer:

Slope = ⁵/7

Step-by-step explanation:

Slope (m) = change in y / change in x

Using two points on the graph, (-4, -4) and (3, 1),

Slope (m) = (1 - (-4))/(3 - (-4)) = 5/7

Slope (m) of the line = 5/7

Answer:

7, 12, 13

Step-by-step explanation:

Use the Pythagorean theorem equation on all of them. The one that does not make the equation true is the  answer.

a^2 + b^2 = c^2

A.

a^2 + b^2 = 18^2 + 80^2 = 6724

c^2 = 82^2 = 6724

Right triangle.

B.

a^2 + b^2 = 7^2 + 12^2 = 193

c^2 = 13^2 = 169

Not a right triangle.

C.

a^2 + b^2 = 3^2 + 4^2 = 25

c^2 = 5^2 = 25

Right triangle.

D.

a^2 + b^2 = 45^2 + 60^2 = 5625

c^2 = 75^2 = 5625

Right triangle.

Answer: 7, 12, 13

Answer:

(b + 3) + 6 = b + 9

Explanation:

The order in which you add numbers together doesn't matter.

Answer:

Step-by-step explanation:

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