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Tamiku [17]
2 years ago
11

By how much does a a^3-2a exceed a^2 + a -6

Mathematics
1 answer:
olganol [36]2 years ago
8 0

Answer:

a³ - a² - 3a+ 6

Step-by-step explanation:

we are asked by how much does (a³-2a) exceed (a²+a-6)

in other words, we are being asked to find the difference between the 2 terms above.

Mathematically we are asked to find:

(a³-2a) - (a²+a-6)    (expand parentheses by distribution property)

=(a³-2a - a²- a + 6)

= a³ - a² - 3a+ 6    (answer)

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Amee received an end of year bonus of $1550 at work and went on a shopping spree. She spent $225 at the department store, $275 a
atroni [7]

Answer: She has $1022 left.

Step-by-step explanation:

The total amount that Amee received an the end of year as bonus at work is $1550.

She went on a shopping spree, spending $225 at the department store, $275 at the home furnishing store, and $28 at the card shop. Therefore, the total amount that she spent at the department store, the home furnishing store, and the card shop is

225 + 275 + 28 = $528

Therefore, the total amount of her bonus that she has left is

1550 - 528 = $1022

6 0
2 years ago
Determine if this conjecture is true. If not, give a counterexample. The difference of two negative numbers is a negative number
Orlov [11]

That would be a false statement

6 0
2 years ago
Suppose we have a group of 10 light users and 10 heavy users. what is the probability that exactly 3 of the 20 users are hiv pos
dmitriy555 [2]

Answer: The answer is 30%.


Step-by-step explanation:  Given that there is a group of 10 light users and 10 heavy users. We are to find the probability that exactly 3 of the 20 users are HIV positive.

We have the following four possible cases -

(i) All 3 are light users.

(ii) 1 is a light user and 2 are heavy users.

(iii) 2 are light users and 1 is a heavy user.

(iv) All 3 are heavy user.

Since there is a 45% chance of a light user to be HIV positive and 55% chance of a heavy user to be HIV positive, so the required probability is given by

p\\\\=\dfrac{3\times 0.45+1\times 0.45+2\times 0.55+2\times 0.45+1\times 0.55+3\times 0.55}{20}\\\\=\dfrac{6}{20}\\\\=0.3\\\\=30\%.

Thus, the probability is 30.

4 0
2 years ago
Find the range of y=3/2cos4x-1
MrRissso [65]

Answer:

Range = [- 2.5, 0.5] = [ - 5/2, 1/2]

Step-by-step explanation:

Smallest value of cos α = - 1,

largest value of cos α = 1.

When cos 4x = - 1,  y=3/2cos4x-1 = 3/2*(-1) - 1 = - 5/2 = - 2 1/2 = - 2.5

When cos 4x = 1,  y=3/2cos4x-1 = 3/2*1 - 1 = 1/2 = 0.5

Range = [- 2.5, 0.5] = [ - 5/2, 1/2]

5 0
2 years ago
2.5.3 Journal: Proofs of Congruence
nexus9112 [7]
I am doing this on apex aswell and i am stuck for the last few ones. I know that the answer to #1 is: Natalie- SAS and Emma- SSS the other ones im not so sure about. sorry for the lack of help, just thought one answer is better than none lol
8 0
2 years ago
Read 2 more answers
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