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Serggg [28]
3 years ago
8

The factorisation of 10xᴧ2 – 18xᴧ3 + 14xᴧ4 is

Mathematics
1 answer:
ikadub [295]3 years ago
6 0

Answer:

{10x}^{2}  - 18 {x}^{3}  +  {14x}^{4}  \\

factorise out x² :

=  {x}^{2} (10 - 18x + 14 {x}^{2} )

then factorise out 2:

= 2 {x}^{2} (7 {x}^{2}  - 9x + 5)

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Negitive

Step-by-step explanation:

2-91= -89

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Suppose the following are the city driving gas mileages of a selection of sport utility vehicles (SUVs). 19, 20, 19, 20, 18, 21,
nikdorinn [45]

Answer:

Step-by-step explanation:

The mean of the gas mileages is 317÷16=19.8125

317 is the sum total of all the figures and 16 is the number of figures in the distribution

Standard deviation is the square root of the variance and the variance is the mean of all squared deviations

The 16 squared deviations are

7.9102(×2) + 3.2852(×2) + 0.6602(×3) + 0.0352(×4) + 1.4102(×3) + 10.1602 + 17.5352 = 56.4382

56.4382÷16 = 3.5274

This is the Variance. The standard deviation is herefore √3.5274 =1.878 ~ 1.88 (to 2 decimal places)

(B) Chebyshev's inequality predicts that 75% of the selection will fall within 2 standard deviations of the mean

2×1.88=3.76

19.8125-3.76 = 16.05

19.8125+3.76= 23.57

The gas mileages are between 16.05 and 23.57

(C) the actual % of SUV models of the sample that fall in the above range is (15/16 × 100) = 93.75%

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5 0
4 years ago
What is 1/2 divided by 4?
Natasha_Volkova [10]
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3 years ago
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F(x)= (x-1)(x(x+1)+2x) find all rational zeros​
pantera1 [17]

Answer:

x = 0, x = 1, x = - 3

Step-by-step explanation:

To find the zeros, let f(x) = 0 , that is

(x - 1)(x(x + 1) + 2x) = 0  ← distribute and simplify parenthesis

(x - 1)(x² + x + 2x) = 0

(x - 1)(x² + 3x) = 0 ← factor out x from the second parenthesis

x(x - 1)(x + 3) = 0

Equate each factor to zero and solve for x

x = 0

x - 1 = 0 ⇒ x = 1

x + 3 = 0 ⇒ x = - 3

5 0
3 years ago
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