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NeX [460]
3 years ago
14

Which of the following is a factor of 2xy + 8y − 8x − 32?

Mathematics
1 answer:
muminat3 years ago
4 0
You could start by eliminating wrong answer(s):

(a) 5 is definitely not a factor of the given <span>2xy + 8y − 8x − 32,

(d) x^2 - 4x + 16 (not x2 - 4x + 16) is not a factor (it has no y terms)

On the other hand:

(b) 2 definitely divides evenly into </span>2xy + 8y − 8x − 32:  2(<span>xy + 4y − 4x − 16)

(c) x + 4 divides evenly into both xy + 4y and -(4x + 16):
                                           We get 2(x +4) [y - 4]</span>
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Jorden leaves home for school on his bike everyday at 6:00 AM, traveling at 32 km/h. one day he forgot his homework, which his m
densk [106]

Answer:

She caught up with Jordan at 6:39 AM

Step-by-step explanation:

We solve this question making linear functions for the distances that Jorden and his mom have driven, and then we equalize them to find the moment they caught up.

Jorden leaves home for school on his bike everyday at 6:00 AM, traveling at 32 km/h.

Her mom will have left 15 minutes after he left, when he will already have traveled \frac{15*32}{60} = \frac{32}{4} = 8\text{km}

So, his position after t minutes can be modeled by the following function:

J(t) = 8 + 32t

His mom

His mom goes after him starting from home, so the initial position is 0, with a velocity of 52 km/h. So her position can be modeled by the following function:

M(t) = 52t

At what time did she catch up with Jorden,

She catches up t minutes after 6:15 AM.

t is found when

M(t) = J(t)

So

8 + 32t = 52t

20t = 8

t = \frac{8}{20}

t = 0.4

0.4 of an hour is 0.4*60 = 24 minutes.

So she catched up with Jordan after 6:15 AM + 24 minutes = 6:39 AM

4 0
2 years ago
F(x) = (2x² – 3)^(-2a? – 9)11
Sonbull [250]

Answer:

-44ax^2-198x^2+66a+297

Step-by-step explanation:

there

5 0
3 years ago
Find the value of p in the figure​
Vika [28.1K]

Answer:

Im pretty sure the answer is maybe 90 degrees

6 0
2 years ago
Can someone help me with this please ?
vaieri [72.5K]

Answer:

3.36 cm

Step-by-step explanation:

from the passage before ; the figure of question is similar to the first figure in passage because those triangles have an each equal angle.

Therefore the ratio of side is equal ; 1/0.84=4/x

Solve equation will be x(1)=4(0.84) ; x=3.36 cm

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3 years ago
If a stadium has 50,000 seats, how many concert tickets would have to be sold for the event to be 85% sold out?
Anvisha [2.4K]

Answer:

42500

Step-by-step explanation:

50000x0.85=42500

6 0
2 years ago
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