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Varvara68 [4.7K]
3 years ago
14

Which statement about the polynomial function g(x) is true?

Mathematics
1 answer:
nadezda [96]3 years ago
5 0

Answer:

If all rational roots of g(x) = 0 are integers, the leading coefficient of g(x) must be 1. If all roots of g(x) = 0 are integers, the leading coefficient of g(x) must be 1.

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HELP PLEASE!!! I need help with this question!
AlexFokin [52]

Answer:

\large\boxed{PS=10\sqrt5}

Step-by-step explanation:

ΔPQS, ΔRQP and ΔRPS are similar (AA). Therefore the sides are in proportion:

\dfrac{QR}{RP}=\dfrac{RP}{RS}

We have:

QR=5,\ RS=20

Substitute:

\dfrac{5}{RP}=\dfrc{RP}{20}                <em>cross multiply</em>

RP^2=(5)(20)\\\\RP^2=100\to RP=\sqrt{100}\\\\RP=10

Use the Pythagorean theorem:

PS^2=PR^2+RS^2

Substitute:

PS^2=10^2+20^2\\\\PS^2=100+400\\\\PS^2=500\to PS=\sqrt{500}\\\\PS=\sqrt{100\cdot5}\\\\PS=\sqrt{100}\cdot\sqrt5\\\\PS=10\sqrt5

6 0
3 years ago
Kendra reads in Modern Dog Magazine that the average age of dogs currently alive is 4.8 years. To determine if this finding appl
SOVA2 [1]

Answer:

The true statement about Kendra's sample is:

b) Kendra's samples are precise but not accurate.

Step-by-step explanation:

a) Data and Calculations:

Average age of dogs currently alive = 4.8 years

Average ages of dogs in Kendra's sample

Week   Average Age (in years)

1                    3.7

2                   3.8

3                   4.2

4                   4.1

5                  3.9

6                  3.9

7                  4.0

Total         27.6

Mean = 3.9 (27.6/7)

b) Accuracy refers to how close Kendra's sample mean age of dogs is to the average age value as stated in the Modern Dog Magazine.  While the Magazine stated an average age of 4.8 years, Kendra's sample produced a mean of 3.9 years.  On the other hand, precision refers to how close Kendra's sample measurements are to each other.  With a mean of 3.9 years, the sample measurements are very close to each other.  Therefore, we can conclude that "Kendra's samples are precise but not accurate."

5 0
3 years ago
IM SORRY FOR THE SPAM!! BUT MY TEACHER GAVE US 93 QUESTIONS. AND ITS 7 GRADES AND I NEED AS MUCH HELP.
julsineya [31]

A.

After h hours Cary makes 5h dollars so after paying mom has

5h - 6

dollars left.

B.

When h=3 then 5h-6=5(3)-6=15-6=9

Cary will have $9 left


8 0
4 years ago
A car completes a journey at an average speed of 40km/h.At what speed must it travel on the return journey if the average speed
nalin [4]
The distance, s = 40t₁ where t₁ is the time to complete the outward journey.
The same distance = vt₂ where t₂ is the time to complete the return journey at speed v.
For the whole journey, 2s=60(t₁+t₂). Therefore s=30(t₁+t₂)=40t₁=vt₂.
30t₁+30t₂=40t₁, 10t₁=30t₂, t₁=3t₂, so s=120t₂=vt₂ and v=120kph.
5 0
3 years ago
A man can paint one house in 12 hours. At this rate, how many houses could 18 men paint in 6 hours? A) 3 houses B) 6 houses C) 9
Mademuasel [1]

Answer:

The correct option is C. 9 houses could 18 men paint in 6 hours.

Step by step explanation:

Let the number of houses paint by 18 men in 6 hours be x.

One man can paint one house in 12 hours.

The part of house painted by a man in 1 hour is \frac{1}{12}.

The part of house painted by a man in 6 hour is

\frac{6}{12}=\frac{1}{2}

The total number of men is 18. Therefore the number of houses painted by 18 men is

x=\frac{1}{2}\times 18=9

Therefore correct option is C. 9 houses could 18 men paint in 6 hours.

5 0
4 years ago
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