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svet-max [94.6K]
4 years ago
15

Which expressions are equivalent to 3(x + 3y + 2x − y)?

Mathematics
2 answers:
Irina-Kira [14]4 years ago
8 0
3(x + 3y + 2x − y) = 3(3x + 2y)
= 9x + 6y
See if any of these match an answer option.
VikaD [51]4 years ago
3 0
Use distributive property, and simplify like terms.

   3(x + 3y + 2x - y)
= 3(x) + 3(3y) + 3(2x) + 3(-y)
= 3x + 9y + 6x - 3y
= 9x + 6y

Therefore, 9x + 6y is equal to 3(x + 3y + 2x - y)

Also, 9x + 6y can be factored into 3(3x + 2y).
   3(3x + 2y)
= 3(3x) + 3(2y)
= 9x + 6y

So this pair is equivalent: 3(3x + 2y) and 9x + 6y
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Given ​ f(x)=x2+14x+40 ​. <br> Enter the quadratic function in vertex form in the box. <br> f(x)=
sukhopar [10]
We know that
the quadratic function in vertex form is--------------> y=a*(x-h)²+k

we have
f(x)=x²<span>+14x+40
y=</span>x²+14x+40

We can convert to vertex form by completing the square on the right hand side
y-40=x²+14x
y-40-49=x²+14x-49------> subtract 49 on BOTH sides to preserve the equality
y-40=(x²+14x+49)-49
y=(x²+14x+49)-49+40---------> y=(x+7)²-9

the answer is
the quadratic function in vertex form-----------> y=(x+7)²-9
<span>the vertex is the point (-7,-9)

</span>
6 0
4 years ago
Last month you spent $30 on clothing. This month you spent 150% of what you spent last month. How much did you spend this month?
zhenek [66]

Answer:

45$

Step-by-step explanation:

100% is the exact same as last moth. 150% is last moths plus half therefor 30/2 is 15. 15 + 30 = 45

8 0
3 years ago
Read 2 more answers
The sign of the product of –35 and –625 is .
harina [27]

Answer:

21875

Step-by-step explanation:

-35 x (-625) = 21875

7 0
3 years ago
The number of students at a new art studio increases from 60 to 80 students from year to year . What is the growth factor for th
gtnhenbr [62]

Answer: 20 students each year

Step-by-step explanation:

60+20= 80

80-60=20

you can do 80 minus 60 and get 20

then to double check you can add 60 and 20

8 0
3 years ago
Michael gets on his skateboard and goes down a hill, accelerating. His speed changes from 0 m/s to 3.3 m/s in 15 seconds. Calcul
shutvik [7]
Acceleration = change in velocity / time

a: acceleration
Vf: final velocity
Vi: initial velocity
t: time

a = (Vf - Vi) / t
a = (3.3 - 0) / 15
a = 0.22 m/s^2
7 0
4 years ago
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