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Shtirlitz [24]
3 years ago
11

Consider the function represented by 9x + 3y = 12 with x as the independent variable. How can this function be written using

Mathematics
1 answer:
MArishka [77]3 years ago
3 0

Answer:

f(x) = -3x + 4

Step-by-step explanation:

Step 1: Write it in slope-intercept form

9x + 3y = 12

3y = -9x + 12

y = -3x + 4

Step 2: Replace <em>y</em> with f(x)

f(x) = -3x + 4

In math, function f(x) is equal to the variable <em>y</em>.

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What is an equation of a parabola with the given vertex and focus? vertex: (5, 4) ; focus: (8, 4)
artcher [175]

The parabola is opens upward.

 a = (8 – 5)

= 3

Using the standard form:

(x – h)^2 = 4a(y – k)

(x -5)^2 = 12( y – 4)

In general form

x^2 -10x +25 =12y – 48

x^2 -10x -12y + 73 =0

7 0
3 years ago
Write the equation in slope-intercept form. 4x+3y=18
Helen [10]

Answer:

y = -4/3x + 6

Step-by-step explanation:

1. 3y - 4x + 3y = 18 - 3y

2. 4x = -3y + 18

3. 18 - 4x = -3y + 18 - 18

4. <u>-</u><u>3</u><u>/</u><u> </u><u>-3y = 4x - 18</u><u> </u><u>/</u><u>3</u>

5. y = -4/3x + 6

6 0
2 years ago
Mo buys a house for £120 000
Vaselesa [24]

Answer:

<h2>25%</h2>

Step-by-step explanation:

The profit = 150 000 - 120 000 = 30 000

………………………………………………………

The profit percentage is :

=\frac{30000}{120000} \times 100=0.25 \times 100 = 25 \%

3 0
2 years ago
A person borrows $50000 loan from bank at a rate of 10% for 5 years compounded yearly.
Hatshy [7]
<h3>Given:</h3>
  • P= $50,000
  • R= 10%
  • T= 5 years
<h3>Note that:</h3>
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  • R= Rate of interest
  • T= Time period
<h3>Solution:</h3>

\large\boxed{Formula: A= P(1+ \frac{R}{100}{)}^{T}}

Let's substitute according to the formula.

A= 50000(1+ \frac{10}{100}{)}^{5}

<em>A=</em><em> </em><em>$80525.5</em>

Now, we can find the interest paid

\large\boxed{I= A-P}

We'll have to deduct the total amount from the principal amount.

Let's substitute according to the formula.

I= 80525.5-50000

<em>I=</em><em> </em><em>$30525.5</em>

<u>Hence</u><u>,</u><u> </u><u>the</u><u> </u><u>total</u><u> </u><u>amount</u><u> </u><u>paid</u><u> </u><u>after</u><u> </u><u>5</u><u> </u><u>years</u><u> </u><u>is</u><u> </u><u>$</u><u>80525.5</u><u> </u><u>and</u><u> </u><u>$</u><u>30525.5</u><u> </u><u>was</u><u> </u><u>paid</u><u> </u><u>as</u><u> </u><u>interest</u><u>.</u>

7 0
2 years ago
At the Battle of Breed’s Hill about 1,600 Americans fought against 2,400 British Troops. If the British suffered 44% of the casu
NeX [460]
2400 divided by 44% which is 1056.





(sneaky way to put history in math, btw...)
4 0
4 years ago
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