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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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A woman standing on a hill sees a flagpole that she knows is 40 ft tall. the angle of depression to the bottom of the pole is 14
NemiM [27]
Let distance form the pole = x  and height of the hill = y ft

now we can set up 2 equayions 
tan 18 = (40-y)/x
tan 14 = y/x

from second equation y = sxtan14  so we have:-
 tan 18  = ( 40 - x tan 14) /  x

x tan 18 = 40 - x tan 14
x(tan 18 + tan 14) = 40

x   = 40 / (tan18 + tan 14)  =  69.66 feet Answer



6 0
2 years ago
2) For which value of P and W is P + W a rational number? P = 1/(sqrt(3)) And W = 1/(sqrt(6)) 2) P = 1/(sqrt(4)) and w = 1/(sqrt
fenix001 [56]

Answer:

  P = 1/(sqrt(4)) and w = 1/(sqrt(9))

Step-by-step explanation:

Only the roots of perfect squares are rational numbers. 2, 3, 6, and 10 are not perfect squares, so their roots are irrational. Both 4 and 9 are perfect squares, so their roots are rational. The sum of rational numbers is a rational number.

  \dfrac{1}{\sqrt{4}}+\dfrac{1}{\sqrt{9}}=\dfrac{1}{2}+\dfrac{1}{3}=\dfrac{5}{6}\quad\text{a rational number}

4 0
3 years ago
Stanley can purchas a 15.4-ounce bottle of
sp2606 [1]

Answer: They are the same deal

Step-by-step explanation:

15.4/5.39=3.33333...

23.6/7.08=3.333333...

5 0
2 years ago
The table shows the height of 5 students in inches what is the mean absolute deviation for these numbers
german

Answer:

4

Step-by-step explanation:

To find the mean absolute deviation (MAD), first find the mean (or average).

μ = (59 + 71 + 68 + 75 + 67) / 5

μ = 68

Next, subtract the mean from each value and take the absolute value.

|59 − 68| = 9

|71 − 68| = 3

|68 − 68| = 0

|75 − 68| = 7

|67 − 68| = 1

Sum the results and divide by the number of students.

MAD = (9 + 3 + 0 + 7 + 1) / 5

MAD = 4

3 0
3 years ago
Mrs. Martin deposit is $2350 in a money market account her account earns an interest rate of 18% if she does not deposit or with
STatiana [176]

Answer:

$2561.50

Step-by-step explanation:

If the account earns simple interest, then the balance at the end of 6 months will be ...

... A = P + Prt . . . . . for principal amount P, interest rate r, time period t

... A = $2350 +2350·0.18·6/12 = $2350 + 211.50

... A = $2561.50

5 0
2 years ago
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