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3 years ago

If f(x) = 3x^2-2x+4 and g(x)=5x^2+6-8 find (f+g)(x)

Mathematics

1 answer:

babymother [125]3 years ago

6 0

Answer: 8x²+4x-4

Step-by-step explanation:

(f+g)(x) is f(x)+g(x). Since we are given f(x) and g(x), we can directly add them together.

3x²-2x+4+5x²+6x-8 [combine like terms]

8x²+4x-4

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A sequence of transformations was applied to an equilateral triangle in a coordinate plane. The transformations used were rotati

Svetlanka [38]

Answer:

A- It must be an equilateral triangle with the same side lengths as the original triangle

Step-by-step explanation:

Well The Equilateral Triangle dont change at all But its position on the coordinate plane changes, So it must be still a Equilateral Triangle.

The other options are talking about how the equilateral triangle changes, But it not true only the positions on the coordinate plane changes.

6 0

3 years ago

Gina wants to ride the waves at flagship pier in Galveston so she rents a surfboard for 5$ per hour plus an initial or beginning

Aneli [31]

If Gina has $90 and pays:

$20 for beginning
$5 per hour

Then 90 - 20 is 70. 70 divided by 5 is 14.

She can rent a surfboard to surf for 14 hours.

5 0

3 years ago

Each day of the work week, Mr. Harbin uses 34 of a gallon of gas. Which estimate best describes the amount of gas Mr. Harbin wou

valentinak56 [21]

D. because each day =34 and it is 5days 5×34= 170 so the answer is more than 4 gallons

3 0

3 years ago

A veterinarian collects data on the number of times race horses are raced during their careers. The veterinarian finds that the

SpyIntel [72]

Answer:

c. (12.12, 18.48)

Step-by-step explanation:

Hello!

The study variable is X: number of times a racehorse is raced during its career.

The average number is X[bar]= 15.3 and the standard deviation is S= 6.8 obtained from a sample of n=20 horses.

To estimate the population mean you need that the variable has a normal distribution, in this case, we have no information about its distribution so I'll assume that it has a normal distribution. With n=20 the most accurate statistic to use for the estimation is a Students-t for one sample, the formula for the interval is:

X[bar] ± $t_{n-1;1-\alpha /2} * \frac{S}{\sqrt{20} }$

$t_{n-1;1-\alpha /2} = t_{19;0.975}= 2.093$

[15.3 ± 2.093 * $\frac{6.8}{\sqrt{20} }$ ]

[12.12; 18.48]

Using a significance level of 95% you'd expect that the true average of times racehorses are raced during their career is included in the interval [12.12; 18.48].

I hope it helps!

8 0

4 years ago

I just need to know if these are parallel please,,,

Nataly_w [17]

These are parallel !

4 0

3 years ago

Read 2 more answers