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2 years ago

What is the first quartile, Q1, of the data set? {36, 45, 79, 80, 82, 85, 90} Enter your answer in the box. Q1 =

Mathematics

1 answer:

MrRa [10]2 years ago

8 0

The upper quartile is, Q1, is 45. The lower quartile, Q2, is 85. The interquartile range is 40. I hope this helps!

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Given the function f(x) = 3x + 1 what is f(-2)?

Readme [11.4K]

Answer:

-5

Step-by-step explanation:

f(-2) means that -2 is going to be our input in this function.

To solve this, simply substitute -2 for x in the expression given.

If f(x) = 3x+1, then f(-2) = 3(-2) + 1

3(-2)+1 = -6+1 = -5

Hope this helped!

7 0

2 years ago

Read 2 more answers

Factor this trinomial completely.

maxonik [38]

Answer:

2(x^2+3x+2) = 2(x+1)(x+2)

Answer is D.

Step-by-step explanation:

7 0

3 years ago

Find f(g(-4)) and g(f(-4)) using the functions below.<br><br> f(x) = 2x + 7<br> g(x) = x2 + 3x - 1

daser333 [38]

Answer:

f(g(-4)) = 13.

g(f(-4)) = -3.

Step-by-step explanation:

g(-4) = (-4)^2 + 3(-4) - 1

= 3.

so f(g(-4))

= f(3)

= 2(3) + 7

= 13.

f(-4) = 2(-4) + 7

= -1.

so g (f(-4))

= g(-1)

= (-1)^2 - 3 - 1

= -3.

8 0

3 years ago

Show all steps to find the product of -3x^3 + 2x - 4 and x^3 + x - 2.

Lana71 [14]

Answer:

-3x^6 -x^4 +2x^3 -8x +8

Step-by-step explanation:

Use the distributive property 4 times.

(-3x^3 + 2x - 4)×(x^3 + x - 2)

= -3x^3(x^3 +x -2) +2x(x^3 +x -2) -4(x^3 +x -2) . . . . once

= -3x^6 -3x^4 +6x^3 +2x^4 +2x^2 -4x -4x^3 -4x +8 . . . . 3 more times

= -3x^6 +x^4(-3+2) +x^3(6 -4) +2x^2 +x(-4 -4) +8 . . . . group like terms

= -3x^6 -x^4 +2x^3 -8x +8

7 0

2 years ago

An observer standing on a cliff 320 feet above the ocean measured angles of depression of the near and far sides of an island to

Gnesinka [82]

Answer:

154.10 Feets

Step-by-step explanation:

Given the following :

Height (h) of cliff = 320 feet

Angle of depression of near side = 16.5°

Angle of depression of far side = 10.5°

Using trigonometry :

We can obtain x and y as shown in the attached picture :

Tanθ = opposite / Adjacent

Adjacent = height of cliff = 320 Feets

For the near side :

Tanθ = opposite / Adjacent

Tan (16.5°) = x / 320

0.2962134 = x / 320

x = 0.2962134 * 320

x = 94.788318 Feets

For the far side :

Tanθ = opposite / Adjacent

Tan (10.5°) = x / 320

0.1853390 = x / 320

x = 0.1853390 * 320

x = 59.308494 Feets

Length of island = (59.308494 + 94.788318) feet

= 154.10 Feets

5 0

3 years ago