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BigorU [14]
3 years ago
10

Write a formula for f(a) in terms of a -3a + 6b = a + 4b

Mathematics
1 answer:
charle [14.2K]3 years ago
6 0

Answer:

\huge\boxed{\sf f(a) = 2a}

Step-by-step explanation:

-3a + 6b = a + 4b

Isolate b

6b - 4b = a + 3a

2b = 4a

b = 4a / 2

b = 2a

Replace b by f(a)

f(a) = 2a

\rule[225]{225}{2}

Hope this helped!

<h3>~AH1807</h3>
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A side of a square garden is represented by the expression 2s + 5. Which expression represents the area of the garden?
zalisa [80]

Answer:

<h2><u><em>(2s + 5) × (2s + 5)</em></u></h2><h2><u><em>or</em></u></h2><h2><u><em>(2s + 5)²</em></u></h2>

Step-by-step explanation:

A side of a square garden is represented by the expression 2s + 5. Which expression represents the area of the garden?

Area = s * s ( side x side or side²)

(2s + 5) * (2s + 5)

or

(2s + 5)²

6 0
2 years ago
What is the significance of the point of intersection of a pair of simultaneous equations
Alex777 [14]

Answer:

The point of intersection gives the solution set(s) of the associated system.

Step-by-step explanation:

If we have a pair of simultaneous equations in 2 variables in x and y, then the point of intersection is the ordered pair (x,y).

This could be a unique intersection, only one point or infinitely many intersection.

This gives us the solution of the simultaneous equations.

Therefore the significance of the point of intersection of a pair of simultaneous equations is that, it gives us the solution set(s) of the associated system.

7 0
3 years ago
Which of the following options is an equivalent function to f(x) = 2(5)^2x? choices: f(x) = 50^x f(x) = 100^x f(x) = 2(25)^x f(x
Stells [14]

For this case we have the following function:

f (x) = 2 (5) ^ {2x}

By power properties we can rewrite the function as follows:

f (x) = 2 ((5) ^ 2) ^ x

We have then:

(5) ^ 2 = 25

Then rewriting the function we have:

f (x) = 2 (25) ^ x

Answer:

an equivalent function to f (x) = 2 (5) ^ {2x} is:

f (x) = 2 (25) ^ x

3 0
3 years ago
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4 0
3 years ago
3. Which of the following equations is equivalent to the equation shown below? x^2 + 4x + 15 = 0
stiv31 [10]

We need to expand the answer choices and see which one matches the equation

x^2+4x+15=0

Remember the algebraic rules:

(a\pm b)^2=a^2\pm2ab+b^2

Now, if we expand choice D, we should get this. Let's expand:

\begin{gathered} (x+2)^2=-11 \\ x^2+2(1)(2)+(2)^2=-11 \\ x^2+4x+4=-11 \\ x^2+4x+4+11=0 \\ x^2+4x+15=0 \end{gathered}

5 0
1 year ago
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