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KengaRu [80]
2 years ago
9

Factor the following polynomials by grouping: ax+ay+bx + by −cx−cy

Mathematics
1 answer:
Eddi Din [679]2 years ago
8 0

Answer:

(a + b -c) x (x +y )

Step-by-step explanation:

Firstly, factor out x from the expression

Then, factor out the y from the expression

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THIS IS URGENT
german
Ok do the original price minus the new price. 90-55=35. Divide that by the original number and multiply it by 100 to find the price decrease. 35/90=.3888*100=38.89
3 0
2 years ago
(no links) PLS HELP AGAIN I LOVE U
Minchanka [31]

y = 3(x + 4)^2 + 31

Step-by-step explanation:

We can convert the given quadratic equation into its vertex form by completing the square:

y = 3x^2 + 24x + 43

= 3(x^2 + 8x) + 43

= 3(x^2 + 8x + 4) + 31

= 3(x + 4)^2 + 31

This is the vertex form of the given quadratic equation with (-4, 31) as its vertex

4 0
2 years ago
A pond has 150 fish and the population decreases by 8% each day. How many days before there are 30 fish
nlexa [21]

Answer:

19 days

Step-by-step explanation:

Given

a = 150 --- initial

r = 8\% -- rate

Required

Days when the fish gets to 30

The function is exponential and as such it follows;

y = ab^x

Where x represents the number of days and y the number of fishes

Because the fishes decreases;

b = 1 - r

So, we have:

b = 1 - 8\%

Express as decimal

b = 1 - 0.08

b = 0.92

In y = ab^x

a =150

y = 30

b = 0.92

So, we have:

30 = 150 * 0.92^x

Divide both sides by 150

0.2 = 0.92^x

Take log of both sides

log(0.2) = log(0.92^x)

Apply law of logarithm

log(0.2) = x\ log(0.92)

Make x the subject

x = \frac{log(0.2)}{log(0.92)}

x = \frac{-0.6990}{-0.0362}

x = 19.309

x \approx 19

<em>Hence, it takes approximately 19 days</em>

3 0
2 years ago
what is the completely factored form of t^4 − 16? (t^2 4)(t^2 − 4) (t^2 4)(t 2)(t − 2) (t^2 4)(t − 2)(t − 2) (t 2)(t 2)(t 2)(t −
Eva8 [605]
Use:a^2-b^2=(a-b)(a+b)\\\\t^4-16=(t^2)^2-4^2=(t^2-4)(t^2+4)=(t^2-2^2)(t^2+4)=(t-2)(t+2)(t^2+4)
7 0
3 years ago
20:37
NISA [10]

Answer: Choice A

Ahmed started 6 floors above ground level, then he went down 8 floors

The +6 or simply 6, is positive, so he's on the 6th floor to start. Then adding on -8, which is the same as subtracting 8, moves him down 8 floors.

6 + (-8) = 6 - 8 = -2 indicates he's 2 floors below ground level, so he's in basement level 2 (perhaps some kind of parking garage).

5 0
2 years ago
Read 2 more answers
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