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2 years ago

Make the expression below a perfect square by adding in a constant value: x^2+14x+_

1 answer:

lina2011 [118]2 years ago

7 0

[x^2 + 14x + (1/2•14)^2] - (1/2•14)^2

= [x^2 + 14x + (7)^2] - (7)^2

= (x+7)^2 - 49

If you need an explanation as to how, you can go ahead and ask

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$3000 is invested in an account earning 8% interest compounded annually. How much will there be in the account after two years?

pshichka [43]

Answer: 3,500

Step-by-step explanation:

6 0

2 years ago

Simplify the expression (x^2 + 2x + 3)(x^2 – 2x – 2)

Tema [17]

Maybe its (4x+3) (-2)

3 0

3 years ago

A school wants to put on a dance recital Middle School dancers have short programs that run 4 minutes long High School performer

sp2606 [1]

Answer: The answer is $\textup{M}+\textup{H}\leq 10~~\textup{and}4\textup{M}+7\textup{H}\leq 90.$

Step-by-step explanation: Given that a school wants to put on a dance recital. The programs of Middle school dancer will be short of 4 minutes each and programmes of High school performers will be long of 7 minutes each.

Number of middle school dances is "M" and number od high school dances is "H".

Since there cannot be more than 10 dances all together, so fisrt inequality can be written as

$\textup{M}+\textup{H}\leq 10.$

Also, the entire recital must take maximum 90 minutes, so the second inequality can be written as

$4\textup{M}+7\textup{H}\leq 90.$

Thus, the pair of inequalities is

$\textup{M}+\textup{H}\leq 10,\\\\4\textup{M}+7\textup{H}\leq 90.$

6 0

2 years ago

What is the total perimeter of the pitch and seating area?

natima [27]

1m = 100 cm

so
40 m = 4,000 cm
25 m = 2,500 cm
10 m = 1,000 cm

perimeter of big rectangle = 2(4,000 + 2000) = 12,000 cm
perimeter of small rectangle on the left: 2(2,500 + 800) = 6,600 cm
perimeter of small rectangle on the right: 2(1,000 + 800) = 3,600 cm
perimeter of circle = πd = 3.141593 x 200 = 628.32 cm

total area of the pitch and seating area :
= 12,000 + 6,600 + 3,600 + 628.32 = 22,828.32 cm

answer
22,828.32 cm

4 0

2 years ago

Read 2 more answers

Manert’s grandfather put $4100 in the bank for him when he was born. The account has been earning 6.5% interest compounded annua

Travka [436]

Answer:

Ans: $19,793

Step-by-step explanation:

Compound interest:

A = P(1+6/100)²⁵

= 4100(1+0.065)²⁵

=19,793

3 0

1 year ago