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svp [43]
3 years ago
13

Which of the following is an x-intercept of the function, f() = x3-5x2 - 8x +48

Mathematics
1 answer:
mash [69]3 years ago
6 0

Answer:

Step-by-step explanation:

x^3 - 5x2 - 8x + 48 = 0

You haven't supplied a list . To confirm which value is the correct one substitute the values for x and see if the result is 0.

Since the last term is  48 you could try some of the factors of 48 :  1, -1, 2, -2, 3 -3  and so on.

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How many 3/4 are there in 5 1/4
Zinaida [17]

Answer:

7

Step-by-step explanation:

5 1/4= 5.25

3/4=.75

5.25/0.75=7

3 0
3 years ago
Read 2 more answers
Find the missing value to the nearest whole number. sin17∘=x/7
wlad13 [49]

Answer:

2

Step-by-step explanation:

sin 17° = x/7

(sin 17°) 7 = (x/7)7

x = sin 17° (7)

x = 0.292371704722737 (7)

x = 2.046601933059157

x ≈ 2

6 0
3 years ago
The time for this event for boys in secondary school is known to possess a normal distribution with a mean of 460 seconds and a
AlekseyPX

Answer:

The time that the boys need to beat in order to earn a certificate of recognition from the fitness association is 511.264 seconds.

Step-by-step explanation:

We are given that the time for this event for boys in secondary school is known to possess a normal distribution with a mean of 460 seconds and a standard deviation of 40 seconds.

The fitness association wants to recognize the fastest 10% of the boys with certificates of recognition.

<u><em>Let X = time for this event for boys in secondary school</em></u>

SO, X ~ Normal(\mu=460,\sigma^{2} =40^{2})

The z-score probability distribution for normal distribution is given by;

                               Z = \frac{X-\mu}{\sigma} ~ N(0,1)

where, \mu = mean time = 460 seconds

            \sigma = standard deviation = 40 seconds

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

<u>Now, it is given that the fitness association wants to recognize the fastest 10% of the boys with certificates of recognition, which means;</u>

       P(X > x) = 0.10   {where x is the required time which boy need to beat}

       P( \frac{X-\mu}{\sigma} > \frac{x-460}{40} ) = 0.10

        P(Z > \frac{x-460}{40} ) = 0.10

<em>So, the critical value of x in the z table which represents the top 10% of the area is given as 1.2816, that is;</em>

<em>                   </em>      \frac{x-460}{40} =1.2816

                         {x-460}{} =1.2816\times 40

<em>                           </em>x = 460 + 51.264 = <u>511.264 seconds</u>

Hence, the time that the boys need to beat in order to earn a certificate of recognition from the fitness association is 511.264 seconds.

8 0
3 years ago
Is perpendicular to line segment
Masja [62]

Answer:

AB is perpendicular to [GH] and GH is [A]

Step-by-step explanation:

5 0
3 years ago
the base of the founten is rectangular . its dimention 1 2/3 feet by 2 2/3 feet . what is the area of the base of the founten
Montano1993 [528]
The area of a rectangle is calculated by multiplying the length of the rectangle and the width of the rectangle. In this case, the length (the longer side) is 2 2/3 feet while the width (shorter side) is 1 2/3 feet. To multiply fraction, first convert mixed numbers into improper fractions:

2 2/3 = 8/3
1 2/3 = 5/3
Multiplying the two fractions yield: 
8/3 x 5/3 = 40/9 ft2 

The final answer is 40/9 ft2 or 4 4/9 ft2. 

3 0
3 years ago
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