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2 years ago

What ratio is equivalent to 9 6

Mathematics

1 answer:

elena-s [515]2 years ago

6 0

3:2

the greatest common factor amongst 9 and 6 is 3

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If f x is a linear function, f(-1)=3, and f(1)=5, find an equation for f(x)

BartSMP [9]

The equation of f(x) is f(x) = x + 4

<h3>How to determine the equation?</h3>

The given parameters are

f(-1) = 3 and f(1) = 5

Start by calculating the slope (m) using:

$m = \frac{f(1) - f(-1)}{1 - -1}$

This gives

$m = \frac{5 - 3}{1 + 1}$

Evaluate

m = 1

The equation is then calculated as;

f(x) = m(x - x1) + f(-1)

This gives

f(x) = 1(x + 1) + 3

Expand

f(x) = x + 4

Hence, the equation of f(x) is f(x) = x + 4

Read more about linear function at:

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6 0

1 year ago

On a coordinate plane, a piecewise function has 2 lines. The first line has a closed circle at (negative 2, negative 2) and then

telo118 [61]

Answer:

x=-6

x=-4

x=-2

x=4

Step-by-step explanation:

just did the test on e2020 and this was the answer!

4 0

3 years ago

Solve for x : log(3x) + log(x + 4) = log(15).<br><br>Please explain it to me.

zlopas [31]

Answer:

x = 1

Explanation:

$\sf \rightarrow log(3x) + log(x + 4) = log(15)$

Rule: log(a) + log(b) = log(ab)

$\sf \rightarrow log(3x(x + 4)) = log(15)$

cancel out log on both sides

$\sf \rightarrow 3x(x + 4) = 15$

relocate constant variable

$\sf \rightarrow 3x^2 + 12x -15 = 0$

take 3 as a common factor

$\sf \rightarrow 3(x^2 + 4x -5) = 0$

divide both sides by 3

$\sf \rightarrow x^2 + 4x -5 = 0$

middle term split

$\sf \rightarrow x^2 + 5x -x-5 = 0$

factor common terms

$\sf \rightarrow x(x + 5) -1(x+5)= 0$

collect into groups

$\sf \rightarrow (x-1)(x+5)= 0$

set to zero

$\sf \rightarrow x-1 = 0 , \ x+5= 0$

relocate variables

$\sf \rightarrow x = 1, \ x = -5$

There must be a positive solution for log, so the solution is only x = 1

3 0

2 years ago

Read 2 more answers

Which of the following represents the ratio of the short leg to the hypotenuse

inn [45]

I believe the answer is C

3 0

3 years ago

Find whether the no. 847,2160 are coprime or not

m_a_m_a [10]

First what you need to do is find the HCF of both numbers.
After you've done that if it is 1 then they are what we call co-prime.
Now, if they are other than 1 they are not co-prime.

8 0

3 years ago