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3 years ago

Can someone please factor this expression for me a²+4a-45

Mathematics

1 answer:

NARA [144]3 years ago

8 0

Answer:

(a + 9)(a - 5)

Step-by-step explanation:

Given

a² + 4a - 45

Consider the factors of the constant term (- 45) which sum to give the coefficient of the a- term (+ 4)

The factors are + 9 and - 5 , since

9 × - 5 = - 45 and 9 - 5 = 4 , then

a² + 4a - 45 = (a + 9)(a - 5) ← in factored form

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a boutique handmade umbrella factory currently sells 22500 umbrellas per year at a cost of 9 dollars each. in the previous year

sergij07 [2.7K]

Answer:

The maximum revenue of the two years is $ 394,500 .

Step-by-step explanation:

Given as :

The current number of selling of umbrellas = 22500

The price of each umbrellas = $ 9

So, The Total price of 22500 umbrellas at $ 9 per umbrellas = $ 9 × 22500

I.e The Total price of 22500 umbrellas at $ 9 per umbrellas = $ 202,500

Again ,

The total number of umbrellas sold previous year = 12000

The price of umbrellas = $ 16

So, The Total price of 12000 umbrellas at $ 16 per umbrellas = $ 16 × 12000

I.e The Total price of 12000 umbrellas at $ 16 per umbrellas = $ 192,000

So, The maximum revenue of the two years = $ 202,500 + $ 192,000

I.e The maximum revenue of the two years = $ 394,500

Hence The maximum revenue of the two years is $ 394,500 . Answer

3 0

3 years ago

How do you use equivalent rates in the real world?

kotykmax [81]

Cross multiplication
or multiplying by a number which goes in both rates

7 0

4 years ago

a sequence starts a 200 and 30 is subtracted each time 200,170,140 what are the first two numbers in the sequence that are kess

Snowcat [4.5K]

<h3>Answer: -10 and -40</h3>

===============================================================

Explanation:

a = 200 = first term

d = -30 = common difference

Tn = nth term

Tn = a + d(n-1)

Tn = 200 + (-30)(n-1)

Tn = 200 - 30n + 30

Tn = -30n + 230

Set Tn less than 0 and isolate n

Tn < 0

-30n + 230 < 0

230 < 30n

30n > 230

n > 230/30

n > 7.667 approximately

Rounding up to the nearest whole number gets us $n \ge 8$

So Tn starts to turn negative when n = 8

We can see that,

Tn = -30n + 230

T7 = -30*7 + 230

T7 = 20

and

Tn = -30n + 230

T8 = -30*8 + 230

T8 = -10 is the 8th term

and lastly

Tn = -30n + 230

T9 = -30*9 + 230

T9 = -40 is the ninth term

Or once you determine that T7 = 20, you subtract 30 from it to get 20-30 = -10 which is the value of T8. Then T9 = -40 because -10-30 = -40.

5 0

3 years ago

Read 2 more answers

jony is twice as old as chika. jony is now 2 years old how old will chika be when jony is 30 years old

Serjik [45]

Jony is 2 now and is 2x older than Chika. So Chika is 1 year old. This means Chika is 1 year younger than Jony. When Jony is 30, Chika is 29

5 0

4 years ago

Angie got some money for his birthday. He spent 1/5 of it on dog treats for his puppy. Then he divided the remainder equally amo

prohojiy [21]

Answer:

225

Step-by-step explanation:

60 x 3 = 180 ($60 for each charity and there's 3 charities)

180 / (4/5) = 225 (if $180 is four fifths of his total just divide 180 by 4/5 to get the answer)

3 0

4 years ago

Can someone please factor this expression for me a²+4a-45​

Can someone please factor this expression for me a²+4a-45