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AlexFokin [52]
3 years ago
11

Determine which polynomial is a perfect square trinomial.

Mathematics
1 answer:
BARSIC [14]3 years ago
5 0

Answer:

16x² − 56x + 49

Step-by-step explanation:

The square of difference of two terms can be expressed as a perfect square trinomial in the following manner:

(a-b)^{2}=a^{2}-2ab+b^{2}

The symbol with square terms must be always positive. So this removes the first two options from the given choices. The correct option is either c or d.

Only the option d can be expressed as a perfect square as shown below:

16x^{2}-56x+49\\\\ = (4x)^{2}-2(4x)(7)+(7)^{2}\\\\ =(4x - 7)^{2}

Option c would have been correct if it was -30b instead of -15b i.e. the middle term is twice the product of first and second term.

So, option D is correct

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Answer the question please I'll give brainlyest
disa [49]

Answer:

125 miles

Step-by-step explanation:

Speed travelled every hour = 50 miles

Time travelled for - 2 1/2 hours = 2.5 hours

Distance = Speed * Time

50*2.5 = 125 miles

Hope this helps!

6 0
3 years ago
Read 2 more answers
Explain how you can use partial quotients to divide 7,563 ÷ 4
balu736 [363]

Answer:

......................................................

Step-by-step explanation:

6 0
2 years ago
Pls answer this is due in 30 minutes
ziro4ka [17]

Answer:

1a) t = 0.17b

1b) $36.03

2) 51,167.50

Step-by-step explanation:

1a) 17% converted to a decimal (divide by 100) = 0.17. Multiply that by the amount of the bill (before tipping) to get the amount of the tip

1b) The bill of $248 represents the entire bill (100%) plus the tip amount (17%) which makes 117%. As a decimal, this is 1.17.

To find what the cost was without the tip, divide the bill total by 1.17

248/1.17 = 211.97. That was the bill before the tip was added.

248-211.97 = 36.03 was the tip added.

2) 5.5% converted to a decimal is 0.055

0.55 x 48,500 = 2667.50

$2,667.50 + $48,500 = 51,167.50

Or, you can use what we did in 1b, and his new salary is 1.055 times 48,500

1.055 x 48,500 = 51,167.50

6 0
3 years ago
The difference between Lana's and her younger sister Lee's ages is 2. If Lee is 17 years old, how old is Lana? Let x represent L
tatyana61 [14]

Answer:

x = <u>19</u>

x - 17 = 2

2 + 17 = <u>19</u>

<em>Hope this helps!</em>

7 0
3 years ago
A father’s age now is three times the age that his son was 4 years ago. In
Mice21 [21]
Let ‘s’ be the son’s age 12 years ago.
Let ‘f’ be the father’s current age.

4 years ago, the son was:

s-4

So, his father is currently:

3(s-4)

=

3s-12

Therefore:

f = 3s-12

In twelve years, the son will be:

s+12

And the father will be:

f+12

This can also be written as:

3s-12+12 as the fathers younger age would be f = 3s+12

=

3s

So, we know that s+12 is half the fathers current age, meaning the father is currently 2(s+12) which is equivalent to 2s+24. Also, we know that the father is currently 3 times the sons age 12 years ago, so 3s (proven by the calculations we made above). Therefore, 2s+24=3s which means 24=s. We can then substitute this, and we will receive 24+12 = 36

Son’s current age: 36

We then substitute the son’s age 12 years ago into 2s+24 to give us the father’s age.

2(24)+24 = 72

Father’s current age: 72










7 0
2 years ago
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