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Klio2033 [76]
3 years ago
7

Solve the equation 3x+5y=15 for y

Mathematics
1 answer:
saul85 [17]3 years ago
4 0
3x+5y=15
5y=-3x+15
y=-3/5 x +3
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The sum of the following algebraic expression 2x + 15, 7-8x and 3x - 41 is 30 find the value of x..​
Ksju [112]

\\  \tt  \longmapsto2x + 15 + 7 - 8x + 3x - 41 = 30 \\   \\  \tt  \longmapsto 2x - 8x + 3x + 15 + 7 - 41 = 30 \\  \\  \tt  \longmapsto  - 3x - 19 = 30 \\  \\  \tt  \longmapsto 3x + 19 =  - 30 \\  \\  \tt  \longmapsto 3x =  - 30 -19 \\  \\  \tt  \longmapsto 3x =  - 49 \\  \\  \tt  \longmapsto x = - \frac{49}{3}

3 0
3 years ago
Read 2 more answers
If f(x)=2x-3/5 , which of the following is the inverse of f(x)?
grigory [225]

Answer:

(5x+3)/2

Step-by-step explanation:

f(x)=(2x-3)/5

f(x)=y

y=(2x-3)/5

interchanging role of x and y

x=(2y-3)/5

5x=2y-3

5x+3=2y

y=(5x+3)/2

the inverse if f(x) = (5x+3)/2

5 0
3 years ago
Suppose that fanf g are continuous functions,
shtirl [24]

The required result based on given continuous functions is: 207. See the explanation for same below.

<h3>What are continuous functions?</h3>


A continuous function in mathematics is one in which a continuous variation (that is, a change without a jump) of the argument causes a continuous variation of the function's value.

<h3>What is the calculation for the above solution?</h3>

Since G and F are continuous functions,

\int_{12}^{28}) \, f(x) dx = 19

\int_{12}^{28}) \, f(x) dx = 35

Therefore,

\int_{12}^{28}) \, [K g(x) - 2 f(x)] dx

= K \int_{12}^{28}) \, g(x) dx -2 \int_{12}^{28}) \, f(x) dx

So, given that K = 7, we have

7 x 35 - 2 x 19
= 245 - 38
= 207

Learn more about continuous functions at;
brainly.com/question/18102431
#SPJ1

7 0
2 years ago
A family owns two businesses that made a combined profit of $$$10 million in the previous financial year, with business B making
Archy [21]

Answer:

The equation to find the profit made by business combined is x+4x = 10.

Business A made $2 million profit and Business B made $8 million profit.

Step-by-step explanation:

Given:

Profit made in previous financial year = $10 million

We need to write an equation to find the profit made by the business.

Solution:

Let the profit (in millions) made by  business A be 'x'.

Let the profit (in millions) made by  business B be 'y'.

Now given:

business B making 4 times as much profit as business A.

so we can say that;

y =4x

Now we know that;

Profit made in previous financial year is equal to sum of profit (in millions) made by  business A and profit (in millions) made by  business B.

framing in equation form we get;

x+y =10\ million

Substituting the value of y in above equation we get;

x+4x = 10

Hence The equation to find the profit made by business combined is x+4x = 10.

On Solving above equation we get;

5x =10\\\\x =\frac{10}{5} = \$2 \ million

profit (in millions) made by  business A = \$2 \ million

profit (in millions) made by  business B = 4x =4\times 2 =\$8 \ million

Hence Business A made $2 million profit and Business B made $8 million profit.

8 0
3 years ago
Find the area of the composite figure below.
pashok25 [27]

Answer: D is the correct answer.

8 0
3 years ago
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