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vekshin1
2 years ago
6

Simplify: -3(y + 2)^2– 5 + 6y What is the simplified product in standard form?

Mathematics
2 answers:
Ymorist [56]2 years ago
7 0

-3(y²+4y+4) - 5 +6y

-3y² - 12y - 12 -5 + 6y

-3y² -6y -17

-(3y²+6y+17)

VMariaS [17]2 years ago
4 0

Answer:

-3y^2 - 6y - 17

Step-by-step explanation:

-3(y + 2)^2 - 5 + 6y =

Expand the square of the binomial.

= -3(y + 2)(y + 2) - 5 + 6y

Use FOIL to multiply the binomials.

= -3(y^2 + 2y + 2y + 4) - 5 + 6y

Combine like terms inside the parentheses.

= -3(y^2 + 4y + 4) - 5 + 6y

Distribute the -3.

= -3y^2 - 12y - 12 - 5 + 6y

Combine like terms.

= -3y^2 - 6y - 17

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Jack's father drives to work in 30 minutes when driving at his usual speed. When traffic is bad, he drives 30 miles per hour slo
weqwewe [10]

Answer:

22.5 miles

Step-by-step explanation:

No traffic :

Let speed = x

Time taken = 30 = 30/60 = 0.5 hour

Speed = distance / time

Distance = d

x = d / 0.5 - - - (1)

With traffic :

Speed = x - 30

Time taken = 1 hour 30 minutes = 1.5 hour

x - 30 = d / 1.5

x = d/1.5 + 30 - - - - (2)

Equating (1) and (2)

d / 0.5 = d/1.5 + 30

d /0.5 - d /1.5 = 30

(1.5d - 0.5d) / 0.75 = 30

1.5d - 0.5d = 22.5

1d = 22.5

Hence,

d = 22.5 miles

6 0
1 year ago
Which test point holds true for y − 2x ≤ 1?
CaHeK987 [17]
So in order to find the correct answer, we can just easily plug in the values to check which ordered pair matches the given inequality above. So based on my solutions, the correct answer would be the last pair. 
<span> y − 2x ≤ 1
0 - 2(5)</span> ≤ 1
0-10  ≤ 1
-10  ≤ 1
Hope this answer helps.
3 0
1 year ago
Select all of the following true statements if R = real numbers, Z = integers, and W = {0, 1, 2, ...}.
PSYCHO15rus [73]
We can start solving this problem by first identifying what the elements of the sets really are.

R is composed of real numbers. This means that all numbers, whether rational or not, are included in this set.

Z is composed of integers. Integers include all negative and positive numbers as well as zero (it is essentially a set of whole numbers as well as their negated values).

W on the other hand has 0,1,2, and onward as its elements. These numbers are known as whole numbers.

W ⊂ Z: TRUE. As mentioned earlier, Z includes all whole numbers thus W is a subset of it.

R ⊂ W: FALSE. Not all real numbers are whole numbers. Whole numbers must be rational and expressed without fractions. Some real numbers do not meet this criteria.

0 ∈ Z: TRUE. Zero is indeed an integer thus it is an element of Z.

∅ ⊂ R: TRUE. A null set is a subset of R, and in fact every set in general. There are no elements in a null set thus making it automatically a subset of any non-empty set by definition (since NONE of its elements are <u>not</u> an element of R).

{0,1,2,...} ⊆ W: TRUE. The set on the left is exactly what is defined on the problem statement for W. (The bar below the subset symbol just means that the subset is not strict, therefore the set on the left can be <u>equal</u> to the set on the right. Without it, the statement would be false since a strict subset requires that the two sets should not be equal).

-2 ∈ W: FALSE. W is just composed of whole numbers and not of its negated counterparts.
3 0
2 years ago
Read 2 more answers
By selling a book for $16.50, a bookseller loses 12%. What is the cost price of the book?
Alika [10]

Answer: 18. 75

Step-by-step explanation:

plz follow my table format here i will be delighted to share

cp  percent  fraction   sp

          -12         88/100  16. 50

100*16.50 /88= 18.75

7 0
1 year ago
An experiment is carried out 400 times.
MissTica

Answer:

You would expect the outcome to be void 240 times

Step-by-step explanation:

1000 x 0.24

6 0
2 years ago
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