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tamaranim1 [39]
2 years ago
7

For the polynomial x^3-7x^2+12x-6, 1 is a zero. Express g(x) as a product of linear factors.

Mathematics
1 answer:
Liula [17]2 years ago
6 0

Answer:

(x–1)(x²–6x+6)

Explanation:

Given that 1 is a zero, we can use synthetic division to compute the factor.

If 1 is a zero (x–1) is a factor.

Here is the process:

| 1 | 1 -7 12 -6

↓ +(1) +(-6) +(6)

↓ ↓ ↓

1 -6 6 0

→ [1]x² + [-6]x + [6]1 + [0]/x–1 =

x² – 6x + 6.

Therefore the factors are (x–1)(<u>x²–6x+6</u>)

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Jenny and Kath hire the canal boat for 14 days. They share the hire cost of £1785.00 in the ratio 2:3. Work out the smaller shar
Dafna1 [17]

Answer:

£714.00

Step-by-step explanation:

The first step is to set up expresssions for the two shares:

Let  x = the amount of one share.  The other share is 1785 - x.  <u>You don't have to worry about which is smaller--that part will work out automatically</u>!

The two shares are in the ratio of 2:3, so set up the proportion

\frac{x}{1785-x}=\frac{2}{3}

Again, you don't have to worry--you could set up the proportion "upside down" and everything will work out in the end.

Solve the proportion for  x  by "cross multiplying" -- use the Means-Extremes Property of proportions.

(3)(x)=(2)(1785-x)\\3x=3570-2x\\5x=3570\\x=714

So one share is £714£ and the other is £1785 - £714 = £1071.

The smaller share is £714.

<u />

5 0
2 years ago
John and 2 friends are going out for pizza for lunch. They split one pizza and 3 large drinks. Thepizza cost $12.00. They spend
tatiyna
It should cost $1.65 for each large drink.

You subtract $12 to $16.95 and that would give you 4.95 and divide it to the number of drinks they bought which is 3 and that would give you $1.65
3 0
3 years ago
 Divide 1 hour in the ratio 1 : 9 : 10
olganol [36]

Answer:

3 minutes; 27 minutes; 30 minutes

Step-by-step explanation:

Let the common multiplier of the given ratios be x. So, the ratios 1: 9 : 10 will become x, 9x and 10x respectively.

Therefore,

x + 9x + 10x = 1 \: hour \\  \\ 20x = 60 \: minutes \\  \\ x =  \frac{60 \: minutes}{3}   \\  \\ x = 3 \: minutes \\  \\ 9x = 9 \times 3 = 27 \: minutes \\  \\ 10x =  10 \times 3 = 30 \: minutes

Thus, 1 hour in the ratio 1 : 9 : 10 can be divided as:

3 minutes; 27 minutes; 30 minutes

5 0
2 years ago
What is the answer to x-41.5=13.5
nikklg [1K]

Answer: 55

Step-by-step explanation:

just add 41.5 on 13.5 and that is x

4 0
3 years ago
Read 2 more answers
WILL GIVE BRAINLIEST!!!!
boyakko [2]

Exponential functions are known to increase geometrically. An example of exponential function is  p(x) = 500(1.02)^x

<h3>Exponential functions</h3>

Exponential functions are known to increase geometrically. The standard exponential function is given as:

y = ab^x

a is the base

x is the exponent

From the given options, the function written in this form is

p(x) = 500(1.02)^x. Hence an example of exponential function is

p(x) = 500(1.02)^x

Learn more on exponential function here: brainly.com/question/12940982

#SPJ1

8 0
2 years ago
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