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Zigmanuir [339]
3 years ago
13

What are the two roots of the equation that is graphed? Root 1 type your answer... Root 2: type your answer..​

Mathematics
1 answer:
Paladinen [302]3 years ago
8 0

Answer:

x = - 4, x = 0

Step-by-step explanation:

The roots are the values of x on the x- axis where the graph crosses the x- axis.

The graph crosses the x- axis at x = - 4, x = 0 ← roots

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Which of the following accurately describes cot⁡(336°)?
sergij07 [2.7K]

Which of the following accurately describes cot⁡(336°)

Options are

cot⁡(-336°)

cot⁡(24°)

cot⁡(-24°)

-cot⁡(-24°)

Answer : cot⁡(-24°)

In a circle the total angle is 360 degrees. 336 degree lies in fourth quadrant.

360 degree - 336 degree = 24 degree

+24° lies on first quadrant and -24° lies on fourth quadrant.

So cot(336) is same as cot(-24)

5 0
4 years ago
In a data distribution, the first quartile, the median and the means are 30.8, 48.5 and 42.0 respectively. If the coefficient sk
RUDIKE [14]

Answer:

a) The third quartile Q₃ = 56.45

b) Variance \mathbf{ \sigma^2 =2633.31}

Step-by-step explanation:

Given that :

Q_1  =  30.8

Median Q_2 =  48.5

Mean  = 42

a) The mean is less than median; thus the expression showing the coefficient of skewness is given by the formula :

SK = \dfrac{Q_3+Q_1-2Q_2}{Q_3-Q_1}

-0.38 = \dfrac{Q_3+30.8-2(48.5)}{Q_3-30.8}

-0.38Q_3  + 11.704  =  Q_3  +30.8  - 97

1.38Q_3  =  77.904

Divide both sides by 1.38

Q_3 = 56.45

b) The objective here is to determine the approximate value of the variance;

Using the relation

SK_p = \dfrac{Mean- (3*Median-2 *Mean) }{\sigma}

-0.38= \dfrac{42- (3 *48.5-2*42) }{\sigma}

-0.38= \dfrac{(-19.5) }{\sigma}

-0.38* \sigma = {(-19.5) }{}

\sigma =\dfrac {(-19.5) }{-0.38 }

\sigma =51.32

Variance =  \sigma^2 =51.32^2

\mathbf{ \sigma^2 =2633.31}

7 0
3 years ago
Find the coordinates of the intersection of the diagonals of parallelogram qrst with vertices q(-8,1), r(2,1), s(4,-3), t(-6,-3)
TiliK225 [7]

Answer:

Point of intersection is (-2, -1).

Step-by-step explanation:

The diagonals bisect each other so we only need to find the midpoint  of one of the diagonals. We'll use the diagonal qs:-

Midpoint = (-8 + 4)/2, (1 + -3)/2

= (-2, -1)


3 0
4 years ago
What is the solution to the equation 1/24 x = 1/6? x = 144, x = 30, x = 18, x = 4
alukav5142 [94]

Answer:

x = 4

Step-by-step explanation:

I'd suggest you write (1/24)x = 1/6 to avoid any ambiguity about the coefficient of x.

Multiplying both sides by 24 (the LCD) will eliminate the fractions:

24(1/24)x = 24/6, or x = 4.

5 0
4 years ago
Mulder and Scully are driving to the same town. Mulder leaves the office at 9​:30a.m. averaging 57mph. Scully leaves at 10​:00​a
koban [17]

Answer:

Scully will catch up with Mulder by 7:30 PM.

Step-by-step explanation:

Consider the provided information.

Mulder leaves the office at 9​:30a.m. averaging 57mph.

Scully leaves at 10​:00​a.m., following the same path and averaging 60 mph.

Distance covered by Mulder between 9:30 AM and 10:00 AM:

\frac{57}{2}= 28.5 miles

Let t is the time taken by Scully to catch up with​ Mulder.

After leaving office Scully needs to cover extra distance of 28.5 miles because Mulder leaves the office earlier.

Therefore total distance cover by them is:

28.5+57t=60t

28.5=60t-57t

28.5=3t\\t=9.5

Hence, it would take 9 hours 30 minutes to catch up Mulder.

10 am + 9 hours 30 minutes = 7:30 pm

Therefore, Scully will catch up with Mulder by 7:30 PM.

6 0
3 years ago
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