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KiRa [710]
3 years ago
9

Part V: If −1 is one of the roots of H(x) = x3 − 7x2 − x + 7, use synthetic division to find the resulting quadratic expression.

Hint: If −1 is a root, (x + 1) is the factor. (2 points)
Part VI: Factor the quadratic expression from Part V to find the final 2 factors and roots. (2 points)
Mathematics
1 answer:
Alekssandra [29.7K]3 years ago
5 0
Solve for x over the real numbers:
x^3 - 7 x^2 - x + 7 = 0
The left hand side factors into a product with three terms:
(x - 7) (x - 1) (x + 1) = 0
Split into three equations:
x - 7 = 0 or x - 1 = 0 or x + 1 = 0
Add 7 to both sides:
x = 7 or x - 1 = 0 or x + 1 = 0
Add 1 to both sides:
x = 7 or x = 1 or x + 1 = 0
Subtract 1 from both sides:
Answer:  x = 7 or x = 1 or x = -1
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Which answer is the best estimate of the correlation coefficient for the variables in the scatter plot?
Vesnalui [34]
Its Letter B -0.5

negative because its slope is negative (from left to right it's going downward)

so there are 2 negavite numbers in the choices, -0.5 and -0.95.

The nearer the value to 1 the less scatter it is. The farther the value to 1 (means nearer to 0) the more scatter it is. Because the plot in the picture is mostly scattered the value should be nearer to 0. It is negative 0.5.
6 0
3 years ago
Read 2 more answers
In AEFG, F = 61 inches, ZF=79º and ZG=34°. Find the length of g, to the nearest<br> 10th of an inch.
DENIUS [597]

Answer:

  g ≈ 34.7 in

Step-by-step explanation:

The law of sines is useful for this:

  f/sin(F) = g/sin(G)

Multiplying by sin(G), we have ...

  g = f·sin(G)/sin(F) = (61 in)·sin(34°)/sin(79°)

  g ≈ 34.7 in

7 0
3 years ago
Jason inherited a piece of land from his great-uncle. Owners in the area claim that there is a 45% chance that the land has oil.
inn [45]
P ( A ) = 0.45  - probability that the land has oil,
P ( B ) = 0.8   - probability that the test predicts it
P ( A ∩ B ) = P ( A ) · P ( B ) = 0.45 · 0.8  = 0.36
Answer: The probability that the land has oil and the test predicts it is 36 %. 
7 0
3 years ago
without using a calculator decide which option is better value for money: 300g Jelly beans $5.80 or 500g Jelly beans $9.90
yarga [219]

Answer:

500g Jelly beans $9.90

Step-by-step explanation:

To know the values.

Let's know how much a gram will cost in each case

300g Jelly beans $5.80

1g = 5.8/300

1 g = 0.01933

500g Jelly beans $9.90

1g = 9.9/500

1g =0.0198

It's obvious that the second one has more value placed on it as it cost more per gram

3 0
3 years ago
A giraffe can travel 800 feet in 20 seconds. Write a direct variation equation for the distance traveled any time | Please expla
Diano4ka-milaya [45]
The direct variation equation is:
d=kt
where d is the distance that the giraffe travels
k is the constant of variation
and t is time
Now we are told that the giraffe can travel 800 ft in 20 seconds, so we can solve for the constant of variation (k)
800=k(20) divide both sides by 20
k=40-------------and the units are ft per sec
So now we can write
d=40t
ck
d=40t
800ft=40*20 ft
800 ft= 800 ft

Hope this helps!
8 0
3 years ago
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