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bonufazy [111]
3 years ago
8

The y-intercept of the line whose equation is 3x + 2y = 7

Mathematics
1 answer:
DochEvi [55]3 years ago
4 0
You'll have to get this equation back to the y=mx+b form to find your y intercept. Start by getting y alone.

3x + 2y = 7
-3x        -3x
2y = -3x + 7

Since why has a 2 in front of it, you now need to divide the entire equation by 2 to get y completely alone.

2y = -3x +7
/2
y= -3/2x + 7/2

Normally, you'd want to simplify the fractions but that is the smallest you can get it to be. Your y intercept is 7/2.
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Harry purchased some fruits and sold 1/2 of them at a gain of 60% and 1/4 of them at a gain of 20%, the rest were spoiled. Find
kherson [118]

Answer: 35%

Step-by-step explanation:

Let the original price be "4x".

60% gain on 1/2 of them will be:

(1.60 × 2x) = 3.2x - 2x = 1.2x

20% gain on (1/4) of them will be:

(1.2 × x) = 1.2x - x= 0.2x

Total gain 1.2x + 0.2x = 1.4x

Total gain percent= Gain/Original price =1.4x/4x = 0.35 = 35%

5 0
3 years ago
Read 2 more answers
Given the following functions f(x) and g(x), solve (f+g)(3) and select the correct answer bellow f(x)=6x+3. G(x)=x-7
Likurg_2 [28]

Answer:

17

Step-by-step explanation:

I would just solve them individually for 3 and then add them together. f(x)=6(3)+3 = 21 and g(x)= 3-7= -4

(f+g)(3) = 21-4= 17

5 0
3 years ago
What is the factored form of 6n4 – 24n3 + 18n?
seropon [69]

Answer: Its factored form will be

6n(n-1)(n^2-3n-3)

Step-by-step explanation:

Since we have given that

6n^4-24n^3+18n

So, we need to factor ,

6n(n^3-4n^2+3)

Now,

\text{Let }p(n)=n^3-4n^2+3

Now, by hit and trial method, we put n=1,

p(1)=1^3-4\times1^2+3=1-4+3=1-1=0

n=1\\n-1=0

So, n-1 is also factor of p(n).

Now,

\frac{n^3-4n^2+3}{n-1}=n^2-3n-3

So, its factored form will be

6n(n-1)(n^2-3n-3)

8 0
3 years ago
Read 2 more answers
PLEASE HELP !!!! I DONT KNOW WHAT TO DO!!!!!
Oliga [24]

Answer:

-2a if you're Simplifying it and 2\5 if you're going for a decimal

8 0
3 years ago
Find all the zeroes of the polynomial function f(x)=x^3-5x^2+6x-30 using synthetic division.
WITCHER [35]
Write the coeeficientes of the polynomial in order:

  | 1   - 5   6   - 30
  |
  |
  |
------------------------

After some trials you probe with 5

   | 1   - 5       6     - 30
   |
   |
5 |        5      0       30
-----------------------------
     1     0      6        0 <---- residue

Given that the residue is 0, 5 is a root.

The quotient is x^2 + 6 = 0, which does not have a real root.

Therefore, 5 is the only root. You can prove it by solving the polynomial x^2 + 6 = 0.
3 0
3 years ago
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