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Oksana_A [137]
3 years ago
12

What is the leading coefficient of the function f(x)= 3x^5+6x^4-x-3

Mathematics
1 answer:
Natali5045456 [20]3 years ago
4 0

3. The leading coefficient of the function f(x)= 3x⁵+6x⁴-x-3 is 3.

For the function  f(x)= 3x⁵+6x⁴-x-3 , the highest power of x is 5, so the degree is 5. The leading term is the term containing that degree, 3x⁵. The leading coefficient is the coefficient of that term, 3.

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Sumara Kato's savings account has a balance of $1663. After 19 years, how much interest
lesantik [10]

Answer: $2936.27

Step-by-step explanation:

Present value = $1663

Rate = 5.5%

Time(n) = 19years

Future value= PV(1+r)^n

= 1663(1+5.5%)^19

= 1663(1.055)^19

=1663 × 2.766

=4599.86

Interest = Future value - Present value

= $4599 - $1663

= 2936

4 0
3 years ago
What is the midpoint of the line segment with endpoints
sertanlavr [38]

Answer:

Midpoint

Step-by-step explanation:

The midpoint is the point on the segment halfway between the endpoints. It may be the case that the midpoint of a segment can be found simply by counting. If the segment is horizontal or vertical, you can find the midpoint by dividing the length of the segment by 2 and counting that value from either of the endpoints.

3 0
2 years ago
(CO 4) In a sample of 8 high school students, they spent an average of 24.8 hours each week doing sports with a sample standard
AveGali [126]

Answer:  

(22.12, 27.48)

Step-by-step explanation:

Given : Significance level : \alpha: 1-0.95=0.05

Sample size : n= 8 , which is a small sample (n<30), so we use t-test.

Critical values using t-distribution: t_{n-1,\alpha/2}=t_{7,0.025}=2.365

Sample mean : \overline{x}=24.8\text{ hours}

Standard deviation : \sigma=3.2\text{ hours}

The confidence interval for population means is given by :-

\overline{x}\pm t_{n-1,\alpha/2}\dfrac{\sigma}{\sqrt{n}}

i.e. 24.8\pm(2.365)\dfrac{3.2}{\sqrt{8}}

24.8\pm2.67569206001\\\\\approx24.8\pm2.68\\\\=(24.8-2.68, 24.8+2.68)=(22.12, 27.48)

Hence, the 95% confidence interval, assuming the times are normally distributed.=  (22.12, 27.48)

6 0
2 years ago
Martha changed 350 US dollars into 385 Australian dollars. How many Australian dollars did she receive for each US dollar?
Leni [432]

Answer:

For each US dollar she gets 1.1 AUS dollars

Step-by-step explanation:

350US for 385AUS

350:385 divide by 350

1 : 1.1

6 0
3 years ago
A solution of nitric acid has a boiling point of 120 degrees Celsius. What is the boiling point of the solution in degrees Fahre
qaws [65]
The answer is 248 degrees
6 0
3 years ago
Read 2 more answers
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