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2 years ago

3x² - 2x + 1 = [?] x=4

Mathematics

2 answers:

astraxan [27]2 years ago

7 0

Answer:

3(4)² - 2(4) + 1 = 48 - 8 +1 = 41

antiseptic1488 [7]2 years ago

5 0

x = 4

${3x}^{2} - 2x + 1 \\ \\ 3 \times {4}^{2} - 2 \times 4 + 1 \\ \\ 3 \times 16 -8 + 1 \\ \\ 48 - 8 + 1 \\ \\ 41.$

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Which statement best demonstrates why the following is a non-example of a polynomial?

11Alexandr11 [23.1K]

The following statements demonstrates why the following is a non-example of a polynomial.
1. The expression has a variable raised to a negative exponent.
2. The expression has a variable in the denominator of a fraction.
3. The expression has a variable raised to a fraction.

6 0

3 years ago

The U.S. Energy Information Administration claimed that U.S. residential customers used an average of 10,608 kilowatt hours (kWh

Marat540 [252]

Answer:

The calculated value Z = 1.4460 < 1.96 at 0.05 level of significance.

The null hypothesis is accepted

A local power company believes that residents in their area use more electricity on average than EIA's reported average

Step-by-step explanation:

Step(i):-

Given that the mean of the Population = 10,608 kWh of electricity this year.

Given that the size of the sample n = 187

Given that mean of sample x⁻ = 10737 kWh

The Standard deviation of the Population = 1220kWh

Level of significance = 0.05

The critical value (Z₀.₀₅)= 1.96

Step(ii):-

Null Hypothesis: H₀:μ > 10608 kWh

Alternative Hypothesis: H₁: μ < 10608kWh

Test statistic

$Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }$

$Z = \frac{10737- 10608 }{\frac{1220}{\sqrt{187} } }$

Z = 1.4460

Final answer:-

The calculated value Z = 1.4460 < 1.96 at 0.05 level of significance.

The null hypothesis is accepted

A local power company believes that residents in their area use more electricity on average than EIA's reported average.

3 0

3 years ago

Jason and Eddy are traveling from Jacksonville to Miami, which is a distance of 382 miles. According to the American Automobile

wolverine [178]

Answer:

The value is $v = 49.23 \ mph$

Step-by-step explanation:

From the question we are told that

The distance from Jacksonville to Miami is d = 382 miles

The time it take to travel from Jacksonville to Daytona is $t_1 = 1 \ hour\ and\ 54\ minutes = 1 + \frac{54}{60} = 1.9 \ hours$

The time it take to travel from Daytona Beach to Fort Pierce is $t_2 = 2\ hours\ and\ 51\ minutes= 2 + \frac{51}{60} = 2.85 \ hours$

The time it take to travel from Fort Pierce to West Palm Beach is

$t_3 = 1\ hour\ and\ 23\ minutes= 1 + \frac{23}{60} = 1.38 \ hours$

The time it take to travel from West Palm Beach to Miami $t_4 = 1\ hour\ and\ 38\ minutes= 1 + \frac{38}{60} = 1.63 \ hours$

Generally the average speed is mathematically represented as

$v = \frac{d}{t_1 + t_2 +t_3 + t_4 }$

=> $v = \frac{382}{1.9 + 2.85 +1.38 + 1.63 }$

=> $v = 49.23 \ mph$

6 0

3 years ago

Please help me with this. also click image

algol13

Answer:

3.14 inches

Step-by-step explanation:

the length of arc AB = 30/360 × 2×3.14×6

= 1/12 × 3.14 × 12 = 3.14

3 0

3 years ago

Kay is running a 13.5 km race. If she runs at a rate of 8 2/5 km/he for 1.5 hours, how many kilometers will she have left to run

Monica [59]

The number of kilometers she will have left to run to finish the race is 0.9 km.

Given the following data:

Total distance = 13.5 km

Speed = $8\frac{2}{5} \;km/hr$

Time = 1.5 hours

To determine the number of kilometers she will have left to run to finish the race:

First of all, we would calculate the distance she has covered by using this formula;

$Distance = speed \times time\\\\Distance = 8\frac{2}{5} \times 1.5\\\\Distance = \frac{42}{5} \times \frac{3}{2} \\\\Distance = \frac{63}{5}$

Distance = 12.6 meters.

For the distance left:

$Distance\;left = Total\;distance - Distance\;covered\\\\Distance\;left =13.5 -12.6$

Distance left = 0.9 km.

Learn more about distance here: brainly.com/question/10545161

7 0

2 years ago