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3 years ago

Factorise the followingx^2+2x-8

Mathematics

1 answer:

ioda3 years ago

7 0

Answer:

${x}^{2} + 2x - 8 \\ {x}^{2} + 4x - 2x - 8 \\ x(x + 4) - 2(x + 4) \\ = (x + 4)(x - 2)$

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The following expression represents the population of colony of penguins in Antarctica: P,= 17.2.3 P, is the penguin population,

nikdorinn [45]

55 hours is your answer

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3 years ago

A particular fruit's weights are normally distributed, with a mean of 476 grams and a standard deviation of 36 grams. The heavie

4vir4ik [10]

Answer:

Step-by-step explanation:

Given that:

mean (μ) = 476 grams, standard deviation (σ) = 36 grams. P(z) = 19%

The z score shows by how many standard deviation the raw score is above or below the mean. It is given by the equation:

$z=\frac{x-\mu}{\sigma}$

Since the 19% weigh more, therefore 81% (100% - 19%) weigh less.

From the normal distribution table, the z score that corresponds to a probability of 81%(0.81) = 0.87

We substitute z = 0.88 in the z score equation to find the raw score. Therefore:

$z=\frac{x-\mu}{\sigma}\\0.87=\frac{x-476}{36}\\ x-476=31.32\\x=31.32+476\\x=507.32\\$

x ≅ 507 grams

Therefore 19% of fruits weigh more than 507 grams

7 0

2 years ago

Write a quadratic equation in the form x² + bx+c=0 that has the following

vfiekz [6]

Answer:

x^2-6x+5

Step-by-step explanation:

To have roots at x=5 and x=1 you need to write is as follows

(x-5)(x-1)

you then need to multiply these two and get

x^2-6x+5

7 0

2 years ago

-x-2y-4z=-6<br> X-5y-2z=-2<br> 2x-3y+2z=2

Svetlanka [38]

Answer:

$\sqrt{2} or (1/2)$

Step-by-step explanation:

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3 years ago

What is the ratio of the two values and what new value do they produce? $280 in 7m

3241004551 [841]

Answer:

The ratio between two values A and B is just the quotient between these two values:

ratio = A/B

a) $280 in 7m

Here the ratio is:

$280/7m = $40/m

This also can be read as:

$40 per meter.

b) 105 miles in 2 hours

Here the ratio is:

105mi/2h = 52.5 mi/h

This also can be read as:

52.5 miles per hour

c) $33 for 5lb

The ratio is:

$33/5lb = $6.6/lb

This can be read as:

$6.6 per pound.

d) 50 pages in 2 hours

the ratio is:

(50 pages)/2h = 25 pages/h

this can be read as:

25 pages per hour.

4 0

2 years ago

Factorise the followingx^2+2x-8​

Factorise the followingx^2+2x-8