Which of the following is the first correct step to write the above equation in the form (x - p)2 = 9, where p and q are integers?

x2 - 14x + 41 + 8 = 0 + 8

x2 - 14x + 41 + 9 = 0 + 9

x2 - 14x + 41 - 8 = 0 - 8

x2 – 14x + 41 - 9 = 0 - 9

Answer:

**Answer:**

*The correct answer is the first option*

**Step-by-step explanation:**

__Quadratic Equation__

The standard form of a quadratic equation is

Sometimes we need to change the expression of the same equation to the form

To accomplish that change, we usually modify the left-hand expression to make it look like the square of a binomial.

The given quadratic equation is

Recall the square of a binomial is

The first term is already present. The second term gives us the value of p:

Solving

Now we need to produce the third term . We only have 41, thus we need to add 8 to both sides of the equation:

The correct answer is the first option

A resident of Bayport claims to the City Council that the proportion of Westside residents (1) with income below the poverty level is lower than the proportion of Eastside residents (2) The City Council decides to test this claim by collecting a random sample of resident incomes from the Westside of town and a random sample of resident incomes from the Eastside of town. Seventy-six out of 578 Westside residents had an income below the poverty level. Hundred-and-twelve out of 688 Eastside residents had an income below the poverty Specify the hypotheses. Calculate the value of the test statistic (round to 4 decimal places). Calculate the p-value (round to 4 decimal places).

Weights of men: 90% confidence; n = 14, x=161.5 lb, s =13.7 lb

-68 divided (-4)Help ASAP

Need answer asap The manager of a video game store found that 35 of the 140 people who preordered the latest baseball game canceled their orders the day before the game was released. He used that data to create a simulation to predict the probability that future customers will cancel their preorders.According to the manager’s model, what is the probability that two customers who preorder the newest golf game will both cancel their orders the day before the game is released?StartFraction 1 over 16 EndFractionStartFraction 1 over 8 EndFractionOne-fourthOne-half

A stock brokerage has four computers that are used for making trades on the New York Stock Exchange. The probability that a computer fails on any single day is 0.005. Failures occur independently. Any failed computers are repaired after the exchange closes, so each day can be considered an independent trial.(a) What is the probability that all four computers fail on one day?(b) What is the probability that at least one computer fails on a day?(c) What is the mean number of days until a specific computer fails?

Weights of men: 90% confidence; n = 14, x=161.5 lb, s =13.7 lb

-68 divided (-4)Help ASAP

Need answer asap The manager of a video game store found that 35 of the 140 people who preordered the latest baseball game canceled their orders the day before the game was released. He used that data to create a simulation to predict the probability that future customers will cancel their preorders.According to the manager’s model, what is the probability that two customers who preorder the newest golf game will both cancel their orders the day before the game is released?StartFraction 1 over 16 EndFractionStartFraction 1 over 8 EndFractionOne-fourthOne-half

A stock brokerage has four computers that are used for making trades on the New York Stock Exchange. The probability that a computer fails on any single day is 0.005. Failures occur independently. Any failed computers are repaired after the exchange closes, so each day can be considered an independent trial.(a) What is the probability that all four computers fail on one day?(b) What is the probability that at least one computer fails on a day?(c) What is the mean number of days until a specific computer fails?

**Answer:**

x= c-3m/m+3-b

**Step-by-step explanation:**

use Math way

**Step-by-step explanation:**

(b-m-3)x-3m+c =0

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hope u got it!!

Answer: option A/ eibfjed

А 3-х

cx - 3

в 3х

The **expression **that shows 3 **less than** x is (c) x - 3

From the question, we have the following parameters that can be used in our computation:

3 less than x

"less than" here means that we use the **negative sign**

And also x is **greater than** 3

i.e. x > 3

So, we have

3 less than x = x - 3

Hence, the **expression **that shows 3 less than x is (c) x - 3

Read more about **expressions **at

#SPJ3

**Answer:**

C: x-3

**Step-by-step explanation:**

3 less go last

x would go first

and less is the minus sign

**Answer:**

D) -4x-1

**Step-by-step explanation:**

-1(2x+3)-2(x-1)

-2x-3-2x+2

-4x-1

Therefore D is correct

**Step-by-step explanation:**

f is a parabola that opens upward.

= 2 : 3 : 4.6

20 : 30 : 46

10 : 15

23

Latih Diri 4.1a

1. Wakilkan hubungan antara tiga kuantiti berikut dalam bentuk a : b:c.

(a) 2 minggu kepada 16 hari kepada 1 minggu

(b) 0.1 kg kepada 50 g kepada 0.25 kg

(c) 4 minit kepada 120 saat kepada 1.6 jam

(d 3 m kepada 480 cm kepada 6 400 mm

2. Tahir membayar RM5.60 untuk sepinggan nasi beriani, RM1.20 untuk segelas teh

dan 30 sen untuk sekeping kuih. Wakilkan hubungan harga bagi nasi beriani, teh dan

kuih dalam bentuk a:b:c.

76

BAB 4

Answer:

a:b:c

1a) 14:16:7

b) 2:1:5

c) 2:1:48

d) 15:24:32

2) 56:12:3

Step-by-step explanation:

Untuk membentuk nisbah tiga kuantiti, pertama-tama kita menukar masing-masing menjadi unit yang sama.

a) 2 minggu hingga 16 hari hingga 1 minggu

Menukar semuanya menjadi bilangan hari, kerana ia sangat setanding.

2 minggu = 14 hari

16 hari = 16 hari

1 minggu = 7 hari

2 minggu hingga 16 hari hingga 1 minggu = 14 hari hingga 16 hari hingga 7 hari

14: 16: 7

b) 0.1 kg hingga 50 g hingga 0.25 kg

Menukar semua menjadi gram

= 100 g hingga 50 g hingga 250 g

= 100: 50: 250

Bahagikan dengan 50

= 2 : 1 : 5

c) 4 minit hingga 120 saat hingga 1.6 jam

Menukar semua menjadi beberapa saat

= 240 saat hingga 120 saat hingga (1.6 × 60 × 60) saat

= 240 saat hingga 120 saat hingga 5,760 saat

= 2: 1: 48

d) 3 m hingga 480 cm hingga 6 400 mm

Menukar semua ini menjadi mm

= 3000 mm hingga 4800 mm hingga 6400 mm

Membahagi hingga 200 mm

= 15:24:32

2) RM5.60 hingga RM1.20 hingga 30 sen

Menukar semuanya kepada sen

= 560 sen hingga 120 sen hingga 30 sen

Membahagi hingga 10

= 56: 12: 3

Semoga ini Membantu !!!

English Translation

Solution

0.02 m: 3 cm: 4.6 cm = 2 cm: 3 cm: 4.6 cm = 2: 3: 4.6

20:30:46

10:15:23

Self Training 4.1a

1. Represent the relationship between the following three quantities in the form a: b: c.

(a) 2 weeks to 16 days to 1 week

(b) 0.1 kg to 50 g to 0.25 kg

(c) 4 minutes to 120 seconds to 1.6 hours

(d) 3 m to 480 cm to 6 400 mm

2. Tahir pays RM5.60 for a plate of beriani rice, RM1.20 for a glass of tea and 30 cents for a piece of cake.

Represent the price relationship for beriani rice, tea and cake in the form of a: b: c.

Solution

To form a ratio of three quantities, we first convert each of them to the same units.

a) 2 weeks to 16 days to 1 week

Converting all of it to number of days, as itnis very comparable.

2 weeks = 14 days

16 days = 16 days

1 week = 7 days

2 weeks to 16 days to 1 week

= 14 days to 16 days to 7 days

14 : 16 : 7

b) 0.1 kg to 50 g to 0.25 kg

Converting all into grams

= 100 g to 50 g to 250 g

= 100 : 50 : 250

Divide through by 50

= 2 : 1 : 5

(c) 4 minutes to 120 seconds to 1.6 hours

Converting all into seconds

= 240 seconds to 120 seconds to (1.6×60×60) seconds

= 240 seconds to 120 seconds to 5,760 seconds

= 2:1:48

(d) 3 m to 480 cm to 6 400 mm

Converting all of this to mm

= 3000 mm to 4800 mm to 6400 mm

Dividing through by 200 mm

= 15:24:32

2) RM5.60 to RM1.20 to 30 cents

Converting it all to cents

= 560 cents to 120 cents to 30 cents

Dividing through by 10

= 56:12:3

Hope this Helps!!!