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NemiM [27]
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:
klio [65]3 years ago
4 0

Answer:

f(x) = - 3x + 4

Step-by-step explanation:

Note that y = f(x)

Given

9x + 3y = 12 ← Rearrange making y the subject

Subtract 9x from both sides

3y = - 9x + 12 ( divide all term by 3 )

y = - 3x + 4, thus

f(x) = - 3x + 4

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For similar triangles, the side lengths are proportional. So, you can write a proportion relating the two pairs of vertical and
NeTakaya

Answer:

\frac{y}{2}=\frac{x}{1}

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

The corresponding vertical sides are y and 2

The corresponding horizontal lines are x and 1

so

The proportion is equal to

\frac{y}{2}=\frac{x}{1}

4 0
3 years ago
Any help would be great plz.
Yuri [45]

Answer:

<h2>x≠{-3,0,-15,3,15}</h2>

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about:</h3>
  • equation
  • PEMDAS
<h3>tips and formulas:</h3>
  • to figure out the domain restrictions let's use the given value
<h3>let's solve:</h3>

let's check the equality by using x=-3

  • 2×-3/15 = 2/3
  • -6/15=2/3
  • -3/5≠2/3

let's check the equality by using x=0

  • 2×0/15=2/3
  • 0/15=2/3
  • 0≠2/3

let's check the equality by using x=-15

  • 2×-15/15=2/3
  • 2×-1=2/3
  • -2≠2/3

let's check the equality by using x=3

  • 2×3/15=2/3
  • 6/15≠2/3
  • 3/5≠2/3

let's check the equality by using x=15

  • 2×15/15=2/3
  • 2≠2/3

6 0
3 years ago
Please answer!! 20 points ASAP
lidiya [134]

<u>Answer:</u>

The length of VI to the nearest tenth is 4 cm

Solution:

The plot is like a quadrilateral and the fences are built on the diagonal

We know that for quadrilateral both the diagonals are in same height,  

So as per the picture, \mathrm{GH}=\mathrm{Fl}

Now we know that \mathrm{GV}=6.55 cm; \mathrm{FV}=5.84 cm; \mathrm{VH}=3.27 cm

Hence,

GH = FI

\Rightarrow GV + VH = VI + VF

\Rightarrow 6.55 + 3.27 = VI + 5.84

\Rightarrow VI = 6.55 + 3.27 - 5.84

\Rightarrow VI = 3.98

<u>Rounding off:</u>

  • If the number that we are rounding is followed by 5 to 9, then the number has to be increased to the next successive number.
  • If the number that we are rounding is followed by 1 to 4, then the number has to remain the same.

Here the number to be round off is 3.98, 9 belongs to the first category stated above. So, 3 is increased to 4.

Hence, the length of VI = 4 cm.

7 0
3 years ago
April and Amy are twin sisters. They have a total of 120 CDs. If Amy has twice as many CDs as April. How many CDs do they each h
gulaghasi [49]
120 = 2x + x
120 = 3x
120/3 = x
40=x <- Solved for how many cds april has.
Since amy has twice as many cds, she would have 80 cds
4 0
3 years ago
Helen determined she walks about 1,800 steps per 4/5 mile. How many steps did she take if she walked 3 miles?
olga_2 [115]
1,800\ steps\ \ \rightarrow\ \  \frac{4}{5} \ mile\\ x\ \ \rightarrow\ \ 3\ miles\\ \\\frac{4}{5} \cdot x=1,800\cdot 3\ /\cdot\frac{5}{4} \\ \\x=1,800\cdot\frac{5}{4}\cdot3 \\ \\x=450\cdot15\\ \\x=6750\ [steps]
3 0
3 years ago
Read 2 more answers
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