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algol13
3 years ago
7

Which products result in a difference of squares or a perfect square trinomial? Check all that apply.

Mathematics
2 answers:
tiny-mole [99]3 years ago
6 0

Answer:

Option B) (7x+4)(7x+4) is correct

The product result in a perfect square trinomial is

(7x+4)(7x+4)=49x^2+56x+14

Step-by-step explanation:

(7x+4)(7x+4)=(7x+4)^2 ( using (a+b)(a+b)=(a+b)^2 )

=(7x)^2+2(7x)(4)+4^2 ( using (a+b)^2=a^2+2ab+b^2 )

=7^2x^2+56x+16

=49x^2+56x+14

Therefore (7x+4)(7x+4)=49x^2+56x+14

which is a perfect square trinomial

A trinomial is a perfect square trinomial if it can be factored into a binomial multiplied to itself. In a perfect square trinomial, two terms will be perfect squares.

Option B) (7x+4)(7x+4) is correct

The product result in a perfect square trinomial is

(7x+4)(7x+4)=49x^2+56x+14

Basile [38]3 years ago
6 0

Answer:

A, (5x + 3)(5x – 3)

B, (7x + 4)(7x + 4)

E, (x – 9)(x – 9)

F, (–3x – 6)(–3x + 6)

Step-by-step explanation:

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Solve for t:<br><br> t + 1 = 24<br> A. t = 23<br> B. t = 25<br> C. t = 31<br> D. t = 20
Flauer [41]

Answer:

t = 25

Step-by-step explanation:

T is 25 because you take 1 away from the t+1 side and add the 1 to the 24 side.

3 0
2 years ago
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Mrs. Smith bought 4 dozen doughnuts and paid a total of $13.92. What was the cost of 1 doughout
polet [3.4K]

Answer:

A $0.29

Step-by-step explanation:

4 dozen donuts is 48 donuts. (A dozen is 12 so 4 times 12 is 48). $13.92 divided by 48 is $0.29.

5 0
3 years ago
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Sophie can peel all the potatoes by herself in 45 minutes, while it would take Simon 30 minutes to do the job working alone. If
Degger [83]

Answer:

18 minutes

Step-by-step explanation:

Sophie can peel all potatoes in 45 minutes, in 1 minute she can peel:

  • 1/45 of all the potatoes

Simon can peel all potatoes in 30 minutes, in 1 minute he can peel:

  • 1/30 of all the potatoes

Together, in 1 minute they can peel:

  • 1/45+1/30= 2/90+3/90= 5/90= 1/18 of all the potatoes

To peel all the potatoes they need:

  • 1 ÷ 1/18= 1 × 18= 18 minutes

So it will take them 18 minutes to peel all the potatoes

7 0
3 years ago
Write 7.630 in word form.​
Maru [420]

Answer:

seven and six hundred thirty thousandths

Step-by-step explanation:

the decimal point is when you say and when reading it

4 0
3 years ago
18 Andy flies from the UK to Japan.
kotykmax [81]

Answer:

<u>Leila pays more</u> than Andy to fly from the UK to Australia.

Step-by-step explanation:

Given:

Andy flies from the UK to Japan.

His plane ticket costs £554.

Andy then flies from Japan to Australia.

His plane ticket costs 70 140 Japanese Yen.

The exchange rate is £1 = 140 Japanese Yen.

Leila flies from the UK to Australia.

Her plane ticket costs 1860 Australian dollars.

The exchange rate is 1 Australian dollar = £0.62.

<u>Now, to find Andy or Leila who pays more to fly from the UK to Australia.</u>

Andy flies from the UK to Japan.

His plane ticket costs = £554.

Andy then flies from Japan to Australia.

His plane ticket costs 70 140 Japanese Yen.

The exchange rate is £1 = 140 Japanese Yen.

So, by using conversion factor we convert Japanese Yen to £.

140 = £1

70140 = 70140\div 140=\£501.

His plane ticket costs = £501.

Now, adding both the cost of tickets:

501+554=\£1055.

Andy total pays fly from the UK to Australia is £1055.

Now, to get the cost of plane ticket of Leila from the UK to Australia.

Her plane ticket costs 1860 Australian dollars.

The exchange rate is 1 Australian dollar = £0.62.

So, by using conversion factor:

1 Australian dollar = £0.62

1860 Australian dollar = 1860\times 0.62=\£1153.2

Her plane ticket costs is £1153.2.

<u><em>As, we see that cost of plane ticket of Andy is £1055 and cost of plane ticket of Leila is £1153.2.</em></u>

<em>Thus, Leila pays more.</em>

Therefore, Leila pays more than Andy to fly from the UK to Australia.

4 0
3 years ago
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