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exis [7]
2 years ago
15

Given that f(x) = x2 − 3x + 3 and g(x) = the quantity of x minus one, over four , solve for f(g(x)) when x = 5. (1 point)

Mathematics
1 answer:
Anna007 [38]2 years ago
6 0

Rewrite g(x) as    x-1

                           ------

                              4

and then substitute this result for x in f(x) = x^2 - 3x + 3:

f(g(x)) = (x-1)^2 / 4^2 - 3(x-1)/4 + 3.

At this point we can substitute the value 5 for x:

f(g(5)) = (5-1)^2 / 4^2 - 3(5-1)/4 + 3

          = 16/16 - 3(4/4) + 3 = 1 - 3 + 3 = 1

Therefore, f(g(5)) = 1.

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What best describes the distance between two points with coordinates (2,-3) and (-4,2)
Fed [463]

Answer:

Option c (7.8) is the correct alternative.

Step-by-step explanation:

The given points are:

(x₁, y₁) = (2, -3)

(x₂, y₂) = (-4, 2)

As we know,

The distance between two points will be:

= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

On substituting the values, we get

= \sqrt{(-4-2)^2+(2-(-3))^2}

= \sqrt{(-4-2)^2+(2+3)^2}

= \sqrt{(6)^2+(5)^2}

= \sqrt{36+25}

= \sqrt{61}

= 7.8 \ units

6 0
3 years ago
5. Adam spent half of his weekly allowance buying lunch. To earn
Gekata [30.6K]
Answer: $11.60

Explanation: First, you want to do 15.1 - 9.3 to find what half of his weekly allowance is, and that would be 5.8, AKA $5.80. Next, you want to multiply that number by 2, which would be 5.8(2) to get 11.6, or your final answer, $11.60.
3 0
2 years ago
Solve for x. Round your answer to the nearest tenth.
zlopas [31]

Answer:

By Pythagorean theorem:

c^2=a^2+b^2

x=\sqrt{15^2+33^2}

x=36.25

x=36.3

7 0
2 years ago
HELP ME TO ANSWER THIS PLEASE JUST KINDA CONFUSED.
yulyashka [42]

Answer:

A = 5

B = 9

Step-by-step explanation:

This was very simple!

Nancy needs at least 15 boxes of travoprost but she only has 10. To find out how many she needs, we subtract 15 from 10 to get 5 boxes

Nancy also needs at least 12 boxes of latanoprost but she only has 3. To find out how many she needs, we subtract 12 from 3 to get 9 boxes

Therefore A = 5 boxes; B = 9 boxes

<em>PLEASE DO</em><em> </em><em>MARK ME</em><em> </em><em>AS BRAINLIEST</em><em> </em><em>IF MY</em><em> </em><em>ANSWER IS</em><em> </em><em>HELPFUL</em><em> </em><em>;</em><em>)</em>

3 0
3 years ago
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The equation y=1/2x represents a proportional relationship. What is the constant of proportionality ? I NEED HELP ASAP
hram777 [196]

Answer:

yx14

Step-by-step explanation:

3 0
2 years ago
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