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Brums [2.3K]
3 years ago
11

Combine like terms. 12m2+6q-9m2

Mathematics
1 answer:
skad [1K]3 years ago
8 0
3m2+6q
m2 is a like term so take the 9m2 from the 12m2
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Write a quadratic function for each graph described.
user100 [1]

Answer:

y=2x^2-\frac{4}{3}x-\frac{10}{3}

Step-by-step explanation:

we know that

The roots of the quadratic function (x-intercepts) are

x=-1 and x=5/3

so

we can write the equation of the parabola as

y=a(x+1)(x-\frac{5}{3})

where

a is a coefficient

Remember that

The parabola pass through the point (5,40)

substitute the value of x and the value of y of the ordered pair in the quadratic equation and solve for a

x=5, y=40

40=a(5+1)(5-\frac{5}{3})

40=a(6)(\frac{10}{3})

40=20a\\a=2

substitute

y=2(x+1)(x-\frac{5}{3})

apply distributive property

y=2(x^2-\frac{5}{3}x+x-\frac{5}{3})\\\\y=2(x^2-\frac{2}{3}x-\frac{5}{3})\\\\y=2x^2-\frac{4}{3}x-\frac{10}{3}

see the attached figure to better understand the problem

6 0
3 years ago
A hungry elf ate 35 of your muffins. That was 710 of all of them! With how many did you start?
KengaRu [80]

Answer:

2094.5 muffins

Step-by-step explanation:

The problem is a little bit messy, but i’m guessing you meant that the elf ate 35% of the muffins, which 35% is 710 muffins. so since 35% of muffins is 710 muffins, let’s multiply that by 2 so we can get 70%.

so 710 x 2 is 1420. so 70% of the muffins is 1420 muffins! sadly that’s not all of the muffins. we’re still missing another 30%. since we don’t know how many muffins are in 30%, let’s just take 710 muffins - 5%. when you do that you get 674.5. so now that we know how much is in 30%, let’s take 1420 + 674.5. when you do that you get 2094.5! so you started off with 2094 and a half muffins!

6 0
3 years ago
How do you know that 5,7,8,9,10 and 11 are not factors of 12
-Dominant- [34]

you cannot multiply any of the numbers above by another to get 12, the factors of 12 would be 1,2,3,4,6,12 1x12= 12 2x6=12 4x3=12

5 0
3 years ago
Read 2 more answers
Which is the graph of y = 1/x?
irina1246 [14]

<u>answer:</u> the first graph

<u>explanation:</u>

it would not be the second one because it is a slope (y = mx + b) and so would be the third choice.

i don't think it would be the last one because it's going only up to 40. which the equation say only y = 1/x and it's not a big number equation.

hope this helps! ❤  from peachimin

i attached this image which is sorta similar to the the to this equation:

6 0
3 years ago
A random sample of 40 seniors reveals that 10% of those sampled have assigned parking spaces in the high
9966 [12]

B. 10% is a statistic and 45% is a parameter.

5 0
3 years ago
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