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Elodia [21]
3 years ago
7

Complete the square: x2+7x+?=(x+?)2

Mathematics
2 answers:
svet-max [94.6K]3 years ago
6 0

Answer:

x² + 7x + 49/4 = (x + 7/2)²

Step-by-step explanation:

x² + bx + c is a perfect square when c = (b/2)².

b = 7, c = (7/2)² = 49/4.

x² + 7x + 49/4 = (x + 7/2)²

charle [14.2K]3 years ago
3 0

Answer:

x² + 7x + 12.25 = (x+3.5)²

Step-by-step explanation:

(a+b)² = a²+ 2ab + b²

then:

7x = <em>2ab</em>

7/2 = 3.5

then:

(x+3.5)² = x² + 2*3.5*a + 3.5²

x² + 7x + 12.25 = (x+3.5)²

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The average of eight numbers is 56. When one of the numbers was left out, the mean decreased to 54. What number was left out?
lozanna [386]

Step-by-step explanation:

Given the average of 8 numbers = 56.

Then the Total sum of 8 numbers = 56 * 8

                                                        = 448.

Sum of 1st three numbers = 49 + 57 + 72

                                           = 178.

So, the total = 448 - 178

                    = 270.

Average of the other 5 numbers = 270/5

                                                      = 54.

Verification:

178 + 270 = 448/8

                = 56.

5 0
2 years ago
Find how many solutions there are to the given equation that satisfy the given condition.
den301095 [7]

Answer:

17550 solutions

Step-by-step explanation:

Given that:

y1 +y2+y3+y4=27

where;

(yi  ≥ 0 and yi \epsilon {\displaystyle \mathbb {Z} }  )

The no. of a nonnegative integer determines the number of ways to choose 27 objects from (4) distinct objects with repetition regardless of the order.

i.e

\bigg(^{27}_{4} \bigg)

∴

The number of nonnegative integer solution is \bigg(^{27}_{4} \bigg)

= \dfrac{27!}{4!(27-4)!}

= \dfrac{27!}{4!(23)!}

= \dfrac{27\times 26\times 25\times 24 \times  23 !}{4\times 3\times 2\times 1(23)!}

= \dfrac{27\times 26\times 25\times 24 }{4\times 3\times 2\times 1}

= \dfrac{421200}{24}

= 17550 solutions

7 0
3 years ago
Help please................
astraxan [27]

Answer:

Answer given below

Step-by-step explanation:

4x2 + 11 = - 37

If u do by using formula

D = b^2 - 4ac

6 0
3 years ago
А
lapo4ka [179]

Answer:

coefficient

Step-by-step explanation:

7 0
4 years ago
Latrell took one of his friends out to lunch. The lunches cost $60 and he paid 5% sales tax. If Latrell left a 15% tip on the $6
VladimirAG [237]

Answer:

$72

Step-by-step explanation:

Cost of the lunch = $60

Sales tax = 5% of $60

= 5/100 × 60

= 0.05 × 60

= $3

Tip = 15% of $60

= 15/100 × 60

= 0.15 × 60

= $9

how much in total did he pay?

Total amount paid = cost of the lunch + sales tax + tip

= $60 + $3 + $9

= $72

Latrell paid $72 in total for the lunch

4 0
3 years ago
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