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shusha [124]
3 years ago
9

Can I get some help somebody? reward brainiest

Mathematics
1 answer:
OLEGan [10]3 years ago
6 0

Answer:

Step-by-step explanation:

1). x² - 8x

  To convert this expression into a perfect square trinomial,

  x² - 2(4x) + 4² = (x - 2)²

  Therefore , 4² = 16 should be added.

  Option (4) is the answer.

2). x² + 2x = 3

   x² + 2(1)(x) = 3

   x² + 2(1)(x) + 1 = 3 + 1 [By adding 1 on both the sides]

   (x + 1)² = 4

    x + 1 = ±2

    x = -3, -1

   Option (1) is the answer.

3). 3x²- 18x = 21

    x² - 6x = 7

    x² - 2(3x) = 7

    x² - 2(3x) + 3² = 7 + 3²

    (x - 3)² = 7 + 9

    (x - 3)² = 16

     x - 3 = ±4

     x = -1, 7

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Pls show work/steps for both questions
aleksklad [387]

Answer:

Step-by-step explanation:

\frac{-5+2 \iota}{1+7 \iota}  \times \frac{1-7 \iota}{1-7 \iota} \\=\frac{-5+35 \iota+2 \iota-14 \iota^2}{1-49 \iota^2} \\=\frac{-5+37 \iota-14(-1)}{1-49(-1)} \\=\frac{9+37 \iota}{50} \\=\frac{9}{50} +\frac{37}{50}  \iota

2.

domain is x²≤36

|x|≤6

-6≤x≤6

or [-6,6]

3 0
3 years ago
Solve for x. X over 8 = 9 over 12. Simplify ur answer best as possible
lora16 [44]

Answer:

6

Step-by-step explanation:

x/8 = 9/12

We can use cross products to solve

x*12 = 8*9

12x = 72

Divide each side by 12

12x/12 = 72/12

x=6

5 0
4 years ago
Combine like terms. <br> 8x2 + 2(x2 − 1) =
podryga [215]

Answer:

Step-by-step explanation:

8x² + 2(x²-1) = 8x² + 2*x²  - 2*1

= 8x² + 2x² -2

= 10x² -2

Like terms: 8x² , 2x²

6 0
4 years ago
Read 2 more answers
A box contains three cards. On one card there is a question mark ​(Upper Q​), on another card there is a pear ​(Upper P​), and o
vova2212 [387]

Complete question :

Determine the probability that two pears are selected The probability is(Simplity your answer.)

d) Determine the probability that a card containing a PEAR and then a card containing a question mark are selected

Answer:

(QQ, QP, QM, QP, PP, MP, QM, PM, MM) ;

Step-by-step explanation:

Given :

Marking on card :

Question mark = Q

Pear = P

Moon = M

Selecting two cards with replacement :

Sample space :

_____ Q ____ P _____ M

Q ___QQ ___QP ___ QM

P ___QP ____PP ___ MP

M__ QM ____PM ___MM

(QQ, QP, QM, QP, PP, MP, QM, PM, MM) ;

1/9 ;

2/9

P(selecting 2 pears) = (PP)

P(p) = required outcome / Total possible outcomes = 1 / 9

Card containing a pear and then a question mark ;

(PQ or QP).

P(p) = 1/3 ; P(Q) = 1/3

P(PQ) + P(QP)

(1/3 * 1/3) + (/3 * 1/3)

1/9 + 1/9

(1 + 1) / 9

= 2/9

6 0
3 years ago
An initial investment of $350 is worth $429.20 after six years of continuous compounding. Find the
ValentinkaMS [17]

Answer:

Interest Rate : 0.0346 or 3.46%

Step-by-step explanation:

• 429.2=350*(1+x)^6

• 429.2/350= (1+x)^6

•(429.2/350)^(1/6)= 1+x

•(429.2/350)^(1/6)-1= x

Check work:

350*(1+0.0346)^6=429.2

4 0
3 years ago
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