Which of the following is a situation in which a quadratic equation cannot be
solved using the quadratic formula?

Answer:

If you want 915/7 simplified, it is 130.714285714.

Step-by-step explanation:

==========================================

Work Shown:

The scalar (2/5a+6) multiplies with the matrix on the left side to get the matrix on the right side

So this is what your steps could look like

[tex](\frac{2}{5}a+6)\begin{bmatrix}3 \\ -2 \\ 7\end{bmatrix}=\begin{bmatrix}15 \\ -10 \\ 35\end{bmatrix}\\\\\\\begin{bmatrix}(\frac{2}{5}a+6)*3 \\ (\frac{2}{5}a+6)*(-2) \\ (\frac{2}{5}a+6)*7\end{bmatrix}=\begin{bmatrix}15 \\ -10 \\ 35\end{bmatrix}\\\\\\[/tex]

[tex]\begin{bmatrix}\frac{2}{5}a*3+6*3 \\ \frac{2}{5}a*(-2)+6*(-2) \\ \frac{2}{5}a*7+6*7\end{bmatrix}=\begin{bmatrix}15 \\ -10 \\ 35\end{bmatrix}\\\\\\\begin{bmatrix}\frac{6}{5}a+18 \\ -\frac{4}{5}a-12 \\ \frac{14}{5}a+42\end{bmatrix}=\begin{bmatrix}15 \\ -10 \\ 35\end{bmatrix}\\\\\\[/tex]

The last matrix equation leads to this system of equations

[tex]\begin{cases}\frac{6}{5}a+18=15 \\ -\frac{4}{5}a-12=-10 \\ \frac{14}{5}a+42=35\end{cases}\\\\\\[/tex]

If we pick any of those equations, and solve for 'a', then we'll get our answer.

---------------------

Let's say we pick the first equation

(6/5)a+18 = 15

(6/5)a = 15-18

(6/5)a = -3

a = -3(5/6)

a = -15/6

a = -5/2

--------------------

If we pick on the second equation, then,

(-4/5)a-12 = -10

(-4/5)a = -10+12

(-4/5)a = 2

a = 2(-5/4)

a = -10/4

a = -5/2

--------------------

Or we could solve the third equation for 'a'

(14/5)a+42 = 35

(14/5)a = 35-42

(14/5)a = -7

a = -7*(5/14)

a = -35/14

a = -5/2

-------------------

You only need to solve one equation to find 'a', though it's good practice to solve all three to see all three rows agreeing with one another.

The multiplication of the matrix by a constant will multiply for each term in the matrix value of the "a" given system of the matrix will be -2.5.

A matrix is a collection of numbers lined up in rows and columns to produce a rectangular array.

In computer graphics, where they have been used to describe picture transformations and other alterations, matrices have vital applications as well in many sectors.

As per the given system of the matrix.

When we multiply anything in a matrix then it will multiply to each and every term of the matrix.

Therefore the (2/5)a + 6 will be multiplied by 3,-2, and 7 each.

So the first term of the left-hand side matrix becomes,[(2/5)a + 6]3

If we compare two matrices then each corresponding term will be the same.

Therefore, the first term of the left-hand matrix = first term of the right-hand matrix

[(2/5)a + 6]3 = 15

6a/5 + 18 = 15

6a/5 = -3

6a = -15

a = -15/6 = -2.5

Hence "The value of the "a" given system of the matrix will be -2.5".

For more about matrices,

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Complete Question

A certain WSU curriculum committee consists of 11 members. In a regular meeting last year, seven members of the committee were in favor of a program proposal and the other four rejected it. If the committee members leave the meeting room in random order and each of the first three leaving the room is accosted by a reporter in quest of an interview, then let X be the number of committee members rejecting the proposal among those interviewed.

1. What is the probability that exactly two are from the member favoring the acceptance of the proposal among those interviewed.

Answer:

The  value  is [tex]P(U) = 0.5091[/tex]  

Step-by-step explanation:

From the question we are told that

    The  number of  member is  n =  11

     The  number of member who are in favor of the project  is k  =  7

     The  number of members who rejected the project is  h =  4

Generally the number of way of selecting the first three member left out of the 11 members is mathematically represented as

           [tex]F = ^n C _r[/tex]

Here r  =  3  and C stand for combination , so using a combination calculator we have

        [tex]F = ^{11} C _3 = 165[/tex]

Given that out of the first three members that left 2  of the members accepted the project  i.e  U  =  2

 The  number of way of selecting the 2 members from the total 7 members that accepted the project is  

      [tex]G = ^{7} C _2[/tex]

=>   [tex]G = 21[/tex]

Given that two members out of the first three accepted the project it means that the remaining one person rejected the project, the number of ways of selecting this one person from the 4 that rejected the project is mathematically represented as

       [tex]U = ^4 C_1[/tex]

=>    [tex]U = 4[/tex]

Generally  the probability that exactly two are from the member favoring the acceptance of the proposal among those interviewed is mathematically represented as

      [tex]P(U) = \frac{G * U}{F}[/tex]      

      [tex]P(U) = \frac{21 * 4}{165}[/tex]  

      [tex]P(U) = 0.5091[/tex]  

Answer:

x=4

Step-by-step explanation:

thats the answer ^^

Answer:

its the second one

Answer:

what type of help do you want?

9514 1404 393

Answer:

  3.75 hours

Step-by-step explanation:

Travel time can be found using the relation ...

  time = distance/speed

  time = (2475 mi)/(660 mi/h) = 3.75 h

It will take 3 3/4 hours to travel that distance.

Answer:

A

Step-by-step explanation:

Ya Welcome

Answer:

I think its A

Step-by-step explanation:

hope this helps some

Step-by-step explanation:

i mean I never did that in six grade

Answer:

29 = x

Step-by-step explanation:

The two angles shown are vertical angles and vertical angles are equal

59 = 2x+1

subtract 1 from each side

59-1 = 2x+1-1

58 = 2x

Divide by 2

58/2 = 2x/2

29 = x

Answer:

.05,.05

Step-by-step explanation:

Answer: 300ft

Step-by-step explanation:

Answer:

100 degrees

Step-by-step explanation:

Answer:

D. y = -2x - 3

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

m is slope

b is y-intercept

Step 1: Define variables

m = -2

b = -3

Step 2: Substitute

y = -2x - 3

Answer:

D

y = -2x -3

Step-by-step explanation:

Hey there!

A linear equation starts with y.

y =

The slope is X (-2)

y = -2x

The y-intercept is -3

y = -2x - 3

~I hope I helped you! :)~

Answer: She can travel a quarter of a mile in 1 minute.

Step-by-step explanation: In 8 mins she can bike 2 miles and if you split that in half then you can see she can bike 1 mile in 4 min then you can say ok well in 2 mins she can bike half a mile and just split that again and you have a Quarter of a mile in one Minute...

Answer:

A) Categorical

B) Nominal

Step-by-step explanation:

 As we can see from the data that the question only had two answers i-e Yes or no so therefore they were categorical rather than quantitative in which he would have asked the user for how much money they were willing to pay more.

It's nominal because he asked in terms of more or less rather than some specific number

Answer: a=57

b=64

c=116

d=59

A is 57 because the lines are parallel and alternate interior angles. B is 64 because the lines are parallel and alternate interior angles. C is 116 because of linear pair. 180 - 64(b). D is 59 because of triangle sum theorem. Sum of measures of all angles in a triangle equal 180

Answer:

(3, 4)

Step-by-step explanation:

Answer:

Lets find how much flour we need for just one serving.

2 2/3 ÷ 6

8/3 ÷ 6

8/3 * 1/6

8/18

4/9 cup of flour per serving

If we triple the recipe (6 * 3 = 18), we will have a total of 18 servings. Multiply the amount of flour we got for one serving to 18 servings.

4/9 * 18/1

72/9

8 cups of flour for 18 servings

Best of Luck!

Step-by-step explanation:

make me as brain liest

Answer:

the answer is the second option hope this helped

Step-by-step explanation:

Answer:

b :)

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Next time, please show us the question! Luckily I know that the question is asking "which of these is a function" but not a lot of people can assume that. The answer is B because a function can't have repeating x values or more than 1 x value that's the same. None of the x values in B repeat so it's a function! Also, remember that y values CAN repeat, so if the y values repeat, it doesn't mean it isn't a function.

Answer: Nick and Pablo

Step-by-step explanation:

6 feet and 2 yards are the same distance because each yard is 3 feet

Answer:

6 feet 2 yards

Step-by-step explanation:

Answer:

0.006

Step-by-step explanation:

On the first draw, there are 52 cards, 4 of which are sevens.

On the second draw, there are 51 cards, 4 of which are nines.

The probability is:

(4/52) × (4/51)

= 4/663

≈ 0.006

Answer:

Eleven

Step-by-step explanation:

~I hope I helped you! :)~

The width of a rectangle card is 2cm less than the length and the area of rectangle is 35cm²[tex].[/tex]

We have to find length and breadth of rectangle.

Let length of the rectangle be x cm.

Given that, width is 2cm less than the length.

∴ Width = (x - 2) cm

➤ Area of rectangle :

⭆ Area of rectangle = 35

⭆ length × width = 35

⭆ x × (x - 2) = 35

⭆ x² - 2x - 35 = 0

⭆ x² - 7x + 5x - 35 = 0

⭆ x(x - 7) + 5(x - 7) = 0

⭆ x = 7 or x = -5

We know that, length can't be negative.

∴ Length of rectangle = 7cm

∴ Width of rectangle = 5cm

Answer:

200 17/23

Step-by-step explanation:

Mathxway.....

Answer:

3.268

Step-by-step explanation:

line up the decimals. we know that since 2 is a whole number the decimal will be behind the 2 making it 1.634 x 2.000. you can waste paper multimplying by 0, 3 times. Instead add focus on the 2 and the other numbers.

  1.634

x 2.000

2x4, 2x3, 2x6, and 2x1

be sure to carrying your numbers and you will get 3268 + 0 + 0 + 0. from here there are 2 numbers behind the decimal so move the decimal left 3 places

3268.0 = 3.268

hope this helps!

Answer:

The right algebraic expression is 2x - 1

Step-by-step explanation:

Let us change the given phrase from words to mathematics expression

In our question, the phrase is " One less than twice a number "

To change it to an algebraic expression

→ Assume that the number is x

∵ Twice a number means 2 × x = 2x

∵ One less than twice the number means 2x - 1

∴ The algebraic expression is " 2x - 1 "

→ The error in the given expression is

The right algebraic expression is 2x - 1

Answer:

(a) The mean is 65.9, the median is, 66.5 and the mode is. 61.

(b) The first and third quartiles are 61 and 71 respectively.

(c) The value of the 90th percentile is, 78.3.

Step-by-step explanation:

The ratings of 20 top-of-the line jackets, arranged in ascending order are as follows:

S = {42 , 53 , 54 , 61 , 61 , 61 , 62 , 63 , 64 , 66 , 67 , 67 , 68 , 69 , 71 , 71 , 76 , 78 , 81 , 83}

(a)

Compute the mean as follows:

[tex]\bar x=\frac{1}{n}\sum\limits^{n}_{i=1}{x_{i}}=\frac{1}{20}\times 1318=65.9[/tex]

Compute the median as follows:

For an even number of values the median is the average of the middle two values.

[tex]M=\frac{10^{th}obs.+11^{th}obs.}{2}=\frac{66+67}{2}=66.5[/tex]

Compute the mode as follows:

The mode of a dataset is the term that occurs most of the time.

[tex]m=61[/tex]

Thus, the mean is 65.9, the median is, 66.5 and the mode is. 61.

(b)

The first quartile is the median of the first half of the data set.

S₁ = {42 , 53 , 54 , 61 , 61 , 61 , 62 , 63 , 64 , 66}

[tex]Q_{1}=\text{Median of }S_{1}=\frac{5^{th}obs.+6^{th}obs.}{2}=\frac{61+61}{2}=61[/tex]

The third quartile is the median of the second half of the data set.

S₂ = {67 , 67 , 68 , 69 , 71 , 71 , 76 , 78 , 81 , 83}

[tex]Q_{3}=\text{Median of }S_{2}=\frac{15^{th}obs.+16^{th}obs.}{2}=\frac{71+71}{2}=71[/tex]

Thus, the first and third quartiles are 61 and 71 respectively.

(c)

The pth percentile is a data value such that at least p% of the data set is less-than or equal to this data value and at least (100 - p)% of the data-set are more-than or equal to this data value.

Use the Excel formula "=PERCENTILE.INC(array,0.9)" to compute the 90th percentile.

The value of the 90th percentile is, 78.3.

This value implies that 90% of the ratings are less than 78.3.

Answer:

a) 7.2, -7.2, 7.2

b) -3.5, 3.5, 3.5

c) 5 1/2, -5 1/2, 5 1/2

Step-by-step explanation:

The opposite number of a value is the number that adds to it to make zero. To find the opposite of a number you need to switch the sign, either from positive to negative or vice versa. The absolute value of a number is the distance from zero it is. Since distance cannot be negative you just need to take the number and make it positive.

Answer:

80%

Step-by-step explanation: