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faust18 [17]
2 years ago
12

Evaluate ( f/g)(x) if f(x) = 2x and g(x) = 3x – 2 when x = 2.

Mathematics
1 answer:
Evgen [1.6K]2 years ago
7 0

Answer:

1

Step-by-step explanation:

(f/g)(x)

= \frac{f(x)}{g(x)}

= \frac{2x}{3x-2} ← substitute x = 2 into the expression

= \frac{2(2)}{3(2)-2}

= \frac{4}{6-2}

= \frac{4}{4}

= 1

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Rectangle HYGT has a perimeter of 170 inches. If the length is 10x - 7
frozen [14]

Answer:

<em>The wide of the rectangle = 42 inches</em>

<em>The  length of the rectangle = 43 inches</em>

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given that the length of the rectangle = 10x-7

Given that the width of the rectangle = 6x +12

The perimeter of the rectangle = 2(length + width)

Given that the perimeter of the rectangle = 170

<u><em>Step(ii):-</em></u>

    2(length + width) = 170

        length + width = 85

        10x-7 +6x +12 =85

          16x +5 = 85

           16x = 85-5 = 80

             x =    \frac{80}{16}

             x = 5

<u><em>Final answer:-</em></u>

<em>The  length of the rectangle = 10(5)-7 = 50-7 = 43 </em>

<em>The wide of the rectangle = 6x +12 = 6(5) + 12 = 30+12 =42</em>

5 0
3 years ago
What are the solutions of 2x2 + 16x + 34 = 0?
Anni [7]
2x^2 + 16x + 34 = 0
x^2 + 8x + 17 = 0
x^2 + 8x + 16 = -17 + 16 = -1
(x + 4)^2 = -1
x + 4 = sqrt(-1) = ±i
x = -4 <span>±</span> i
8 0
3 years ago
Read 2 more answers
What is the slope of the line shown on the graph? A)3 B)1/3 C)−3 D)−1/3
MatroZZZ [7]

Answer:

1/3

Step-by-step explanation:

The slope of the line is found by

m = (y2-y1)/(x2-x1)

we have two point ( 0,0) and ( 3,1)

   = ( 1-0)/( 3-0)

   = 1/3

4 0
3 years ago
I need to know how to do it aswell
4vir4ik [10]

Answer:

x= 3

Step-by-step explanation:

x on triangle 1 is 5 times less than 15

x on triangle 2 is 3 times bigger than 10

Hope this helps!

6 0
3 years ago
Read 2 more answers
heyy soo i just started math class and im veryy confused I've tried different things to get to the answer but it didn't work soo
german

yes sure, i learned this before so

1. a. make a proportion here, of percentage. \frac{225}{250} =\frac{x}{100} if you cross multiply and divide you get 90%.

1. b. obviously the empty seats would be 10%.

2. a. proportion again, \frac{0.90}{6.00} =\frac{x}{100} cross multiply then divide you ge 15%

3. 30% in decimal form is 0.3. multiply it then to the total amount, so 0.3 x 15 = 4.5

7 0
4 years ago
Read 2 more answers
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