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kiruha [24]
4 years ago
7

What is the function form for 2x + 3y = 12

Mathematics
2 answers:
o-na [289]4 years ago
5 0
2x+3y=12
3y=12-2x
divide both side by 3
y=-2/3x+4
valina [46]4 years ago
4 0
2x+3y=12
Subtract by 2x
3y=-2x+12
Divide by 3
y=-2/3x+4
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If f(x) = 7+ 4x and g(x) = 1/2,
olchik [2.2K]

270

<h3>Further explanation</h3>

<u>Given:</u>

  • \boxed{ \ f(x) = 7 + 4x \ }
  • \boxed{ \ g(x) = \frac{1}{2x} \ }

<u>Question:</u>

What is the value of \boxed{ \ \bigg( \frac{f}{g} \bigg)(5)? \ }

<u>The Process:</u>

The form of \boxed{ \ \bigg( \frac{f}{g} \bigg)(x) \ } means that f(x) is divided by g(x).

\boxed{\boxed{ \ \bigg( \frac{f}{g} \bigg)(x) \ } \rightarrow \boxed{ \ \frac{f(x)}{g(x)} \ }}

Let us solve the problem.

\boxed{ \ \bigg( \frac{f}{g} \bigg)(x) = \frac{7 + 4x}{\frac{1}{2x}} \ }

\boxed{ \ \bigg( \frac{f}{g} \bigg)(x) = (7 + 4x) \times \frac{2x}{1} \ }

Thus, we get \boxed{{ \ \bigg( \frac{f}{g} \bigg)(x) = 14x + 8x^2 \ }}

And now, we can calculate the value of \bigg( \frac{f}{g} \bigg)(5).

\boxed{ \ \bigg( \frac{f}{g} \bigg)(5) = 14(5) + 8(5)^2 \ }

\boxed{ \ \bigg( \frac{f}{g} \bigg)(5) = 70 + 200 \ }

Thus, the value is 270.

- - - - - - - - - - -

Alternative thinking

\boxed{ \ \bigg( \frac{f}{g} \bigg)(5) = \frac{7 + 4(5)}{\frac{1}{2(5)}} \ }

\boxed{ \ \bigg( \frac{f}{g} \bigg)(5) = (7 + 20) \times 10} \ }

\boxed{\boxed{ \ \bigg( \frac{f}{g} \bigg)(5) = 270 \ }}

<h3>Learn more</h3>
  1. If f(x) = x² – 2x and g(x) = 6x + 4, for which value of x does (f o g)(x) = 0? brainly.com/question/1774827
  2. Solve for the value of the function composition brainly.com/question/2142762
  3. If g(x) is the inverse of f(x), what is the value of f(g(2)) brainly.com/question/1517760

Keywords: if, f(x), g(x), function, divide by, the value, (f/g)(5), 5, 270

#learnwithBrainly

5 0
3 years ago
Y is inversely proportional to the cube of x if y = 7 when x=4 what is y when x is 5
Black_prince [1.1K]

Answer:

y = 3.584

Step-by-step explanation:

Given

Variation = Inverse Proportional

When y = 7, x = 4

Required

Find y when x = 5

First, we need to represent the variation.

y varies inversely proportional to x³

This implies that

y ~ 1/x³

Convert variation to equation

y = k/x³

Make k the subject

k = x³y

When y = 7, x = 4

This gives:

k = 4³ * 7

k = 64 * 7

k = 448

To determine the value of y when x = 5;

We make use of y = k/x³

Substitute 5 for x and 448 for k

y = 448/5³

y = 448/125

y = 3.584

6 0
3 years ago
What is the answer to this math question in the picture above?
shutvik [7]
Y = 7/2 and Y = 5. Hope this helped!
3 0
3 years ago
Help<br> help<br> help<br> help<br> help<br> help<br> help
Phoenix [80]

Answer:

it's answer c and why so many helps

6 0
3 years ago
Is 124 inches equal too 3 yards 16 inches
AnnZ [28]

Answer:

we are given

length =3 yards and 16 inches

now, we can change it in inches

we know that

1 yard =36 inches

so, we get

length =3*36 inches and 16 inches

length=124 inches

now, we will check each option

option-A:

we can see that this is also 124 inches

so, this is TRUE

option-B:

4 yd 4 in

we can change into inches

we know that

1 yard =36 inches

4 yd 4 in=4*36 inches +4 inch

4 yd 4 in=144 in

this is not equal to 124 in

so, this is FALSE

option-C:

3 yd 1 1/2 in

we know that

1 yard =36 inches

3 yd 1 1/2 in =

3 yd 1 1/2 in =

this is not same as 124 in

so, this is FALSE

option-D:

2 yd 52 in

we know that

1 yard =36 inches

2 yd 52 in

2 yd 52 in

so, this is same

so, this is TRUE

option-E:

10 ft 4 in

we know that

1 feet =12 inches

so,

10 ft 4 in=12*10 +4 in

10 ft 4 in=124 in

this is same

so, this is TRUE

Step-by-step explanation:

So yes 124 is the same as 3 yards and 16 inches

Hope this helps!!!

8 0
3 years ago
Read 2 more answers
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