MATHEMATICS HIGH SCHOOL

Multiply out the expression (y+9) (y+2)
Please show working if possible! Thanks in advance x

Answers

Answer 1
Answer: (y+9)(y+2)\n\n=y\cdot y+y\cdot2+9\cdot y+9\cdot2\n\n=y^2+2y+9y+18\n\n=y^2+11y+18

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Jeremy drove from Portland to Miami. He determines that the expression 450x + 150 represents the distance in miles he traveled, where x is the number of days after the first day. Which statement describes correctly what the coefficient of x represents?

Answers

Answer:

The coefficient of x represents the number of miles driven each day.

Step-by-step explanation:

The coefficient of x is being multiplied by x, or the number of days. If the expression models the total distance travelled, then Jeremy drove 450 miles each day.

Which is a recursive formula for the sequence 99.4, 0, –99.4, –198.8, where f(1) = 99.4?

Answers

Answer:

f(n+1)=f(n)-99.4

Step-by-step explanation:

We are given a sequence as:

 99.4,0,-99.4,-198.8, and so on

We can see that the sequence is constantly getting decreased by -99.4

i.e. f(1)=99.4

Then, f(2)=f(1)-99.4

              =99.4-99.4

             =0

f(3)=f(2)-99.4

   =0-99.4

   =-99.4

Hence, the recursive formula is:

 f(n+1)=f(n)-99.4
f(n + 1) = f(n) – 99.4, n ≥ 1

It is estimated that light takes 100,000 years to travel the full distance across our galaxy, the Milky Way. If light travels 3.0 x 100000000 m in 1 second, how long is the Milky Way?
Give your answer in standard form.

Answers


Well, technically, you've only told us the time to travel across
our galaxy, so we don't have enough information to calculate 
anything about its length.

Fortunately, some of us are vaguely aware that our galaxy is
roughly round, at least in its plane.  So "across" means its diameter,
and that's the same in any direction through the center.

Relieved, we can now proceed to calculate:

               (3 x 10⁸ meter/sec) x (8.64 x 10⁴ sec/day)
                                              x (3.65 x 10² day/yr) x (10⁵ years)

            = (3 x 8.64 x 3.65 x 10¹⁹)  meters

           =         94.608 x 10¹⁹  meters

           =  946,080,000,000,000,000,000 meters

           (about  587,867,000,000,000,000,000 miles) .
 

What is 2v+7=3 of this equation

Answers

2v+7=3 \n\n 2v=3-7 \n\n 2v=-4 \ \ |:2 \n\n \boxed{v=-2}
2v + 7 = 3
     - 7     - 7
2v = - 4
v = - 2

The probability of someone buying a particular newspaper in a town is 0.4. Out of 80 customers who come into a shop, what is the probability of at most 26 customers buy this newspaper? Use the normal distribution to approximate the binomial distribution. a) 0.8924 b) 0.1076 c) 0.9550 d) 0.0445

Answers

Answer: Therefore, none of the given options (a) 0.8924, b) 0.1076, c) 0.9550, d) 0.0445) is correct. The correct probability is approximately 0.0968.

Step-by-step explanation:

To find the probability of at most 26 customers buying the newspaper out of 80 customers, we need to use the normal distribution to approximate the binomial distribution.

Given that the probability of someone buying the newspaper is 0.4, we can calculate the mean and standard deviation for the binomial distribution.

Mean (μ) = n * p

μ = 80 * 0.4

μ = 32

Standard Deviation (σ) = √(n * p * q)

σ = √(80 * 0.4 * 0.6)

σ ≈ 4.62

To approximate the binomial distribution using the normal distribution, we can use the continuity correction and calculate the z-score.

Z = (x - μ + 0.5) / σ

Where x is the number of customers (26 in this case)

Z = (26 - 32 + 0.5) / 4.62

Z ≈ -1.30

Using a standard normal distribution table or a calculator, we can find the probability associated with the z-score of -1.30.

The probability of at most 26 customers buying the newspaper is approximately 0.0968.

A line passes through the points (1, -6) and (4,3). What is the y-intercept of this line?○ -9
○ -3
○ 3
○ 9​

Answers

After plugging in the points into the formula y2-y1/x2-x1, you’ll find that the slope is 3 or 3/1. Slope is written as rise over run. Using this information, you’ll see that the y-intercept is (0,-9). Hopefully I’m right and hopefully this helps!

Answer: -9
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