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Gnoma [55]
2 years ago
9

HELP PLZZZZ !!!

Mathematics
1 answer:
Mnenie [13.5K]2 years ago
4 0

Answer

Step-by-step explanation:

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Given f(x) = 3x- 1 and g(x) = 2x-3, for which value of x does g(x) = f(2)?
Vedmedyk [2.9K]

Answer: x = 4

Step-by-step explanation: f(2) = 3(2)-1 = 5. Meaning x needs to be a value that makes g(x) = 5. You can set them up equal to each other 5 = 2x-3 and solve. You end up getting x = 4.

6 0
3 years ago
How much water do you add...
Alecsey [184]

Answer: 36.67 grams of water is added.

Step-by-step explanation:

Let the amount of water is added be 'x'.

Amount of sugar = 5 g

We need to make 12% of sugar syrup.

x grams of water is added to 5 g of sugar, to 12% of sugar syrup.

so, it becomes,

\frac{5}{5+x}=\frac{12}{100}\\\\100\times 5=12(5+x)\\\\500=60+12x\\\\500-60=12x\\\\440=12x\\\\\frac{440}{12}=x\\\\36.67\ g=x

Hence, 36.67 grams of water is added.

7 0
3 years ago
Ship A receives a distress signal from the southwest, and ship B receives a distress signal from the same vessel from the north.
mylen [45]
G=t negative 320+f5 t=b

6 0
3 years ago
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Orlov [11]
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4 0
3 years ago
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For all values of x
Yuliya22 [10]

Answer:

A.) gf(x) = 3x^2 + 12x + 9

B.) g'(x) = 2

Step-by-step explanation:

A.) The two given functions are:

f(x) = (x + 2)^2 and g(x) = 3(x - 1)

Open the bracket of the two functions

f(x) = (x + 2)^2

f(x) = x^2 + 2x + 2x + 4

f(x) = x^2 + 4x + 4

and

g(x) = 3(x - 1)

g(x) = 3x - 3

To find gf(x), substitute f(x) for x in g(x)

gf(x) = 3( x^2 + 4x + 4 ) - 3

gf(x) = 3x^2 + 12x + 12 - 3

gf(x) = 3x^2 + 12x + 9

Where

a = 3, b = 12, c = 9

B.) To find g '(12), you must first find the inverse function of g(x) that is g'(x)

To find g'(x), let g(x) be equal to y. Then, interchange y and x for each other and make y the subject of formula

Y = 3x + 3

X = 3y + 3

Make y the subject of formula

3y = x - 3

Y = x/3 - 3/3

Y = x/3 - 1

Therefore, g'(x) = x/3 - 1

For g'(12), substitute 12 for x in g' (x)

g'(x) = 12/4 - 1

g'(x) = 3 - 1

g'(x) = 2.

5 0
3 years ago
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