MATHEMATICS HIGH SCHOOL

In the xy -plane, what is the y -intercept of the graph of theequation y =2(x+ 3)(x- 4)?
A. 24
B. 12
C. 2
D. 12

Answers

Answer 1
Answer:
I don't think the correct y-intercept is offered as one of the choices.

                                           y = 2 (x + 3) (x - 4)

Where the graph crosses
the y-axis, x=0 :                  y = 2 (0 + 3) (0 - 4)

                                           y = 2 ( 3 )  ( -4 )

                                           y = 2 ( -12 )  =  -24

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For a wall of a given material and of a fixed surface area, the rate of heat loss by conduction through the wall is inversely proportional to the thickness (T) of the wall, and directly proportional to the temperature difference (d) across the wall. The rate of heat loss could be given by which of the following expressions?A. 2d/T B. 2 T/d C. 2d + ½ T D. 2(d + ½ T) E. T/d

For this week only, you can buy a Dell for $2988, including taxes. Included in the offer is a finance option for 4 years at an annual percentage rate of 3.5%. Find the monthly payment.

Answers

Answer:

$66.80

Step-by-step explanation:

The monthly payment can be computed using the pmt formula in excel spreadsheet as shown below:

=pmt(rate,nper,-pv,fv)

the rate is the interest rate of 3.5% divided by 12 months to show interest rate per month

nper is the number of months it would take to complete the payments which is 4 years multiplied by 12 months i.e 48 months

pv is the cost of the gadget at $2,988

fv is the sum of all month payments which is not unknown

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I need the function for the volume of the box for number 1

Answers

Answer:

Step-by-step explanation:

The volume of a rectanguiar shape like this one is V = L * W * H, where the letters represent Length, Width and Height.  Here L is the longest dimension and is 28 - 2x; W is the width and is 22-2x; and finally, x is the height.  Thus, the volume of this box must be

V(x) = (28 - 2x)*(22 - 2x)*x

and we want to maximize V(x).  

One way of doing that is to graph V(x) and look for any local maximum of the graph.  We'd want to determine the value of x for which V(x) is a maximum.

Another way, for those who know some calculus, is to use the first and second derivatives to identify the value of  x at which V is at a maximum.

I have provided the function that you requested.  If you'd like for us to go all the way to a solution, please repost your question.

Suppose the heights of the members of a population follow a normal distribution. If the mean height of the population is 68 inches and the standard deviation is 4 inches, 99.7% of the population will have a height within which of the following ranges?A. 56 inches to 80 inches
B. 60 inches to 76 inches
C. 64 inches to 72 inches
D. 52 inches to 84 inches

Answers

If the mean height of the population is 68 inches and the standard deviation is 4 inches, 99.7% of the population will have a height within  ranges of; 52 inches to 84 inches.

What do you mean by standard deviation?

In statistics, Standard deviation is a measure of the variation of a set of values.

σ = standard deviation of population

N = number of observation of population

X = mean

μ = population mean

We know that at 99.7%  the measurements would be within 2 standard deviations of the mean.

Mean of 68 inches

Standard Deviation of 4

The lower range = 68– 4(4)= 52 inches

The upper range = 68+ 4(4) = 84 inches

Thus, the option (D) 52 inches to 84 inches is correct after using the empirical Rule.

Learn more about standarddeviation :

brainly.com/question/11448982

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Hello,
\int\limits^h_0 {(1)/(2\pi) * e^{(-(x-68)^2)/(2)} dx}=0.4985
==>h=3*4=12
[68-12, 68+12] is the interval

Answer A

12x12???????? HELP ME

Answers

Answer:

144 :)

Step-by-step explanation:

Answer:

144

Step-by-step explanation:

12x12=144

One positive number is 5 times another number. The difference between the two numbers is 200, find the numbers.

Answers

x = 5y, where x > 0 and y > 0;
x - y = 200 => 5y - y = 200 => 4y = 200 => y = 200/4 => y = 50 => x = 250.

I need help!! I need to pass math!! Please help I know it's a lot but I need help I don't get any of this!

Answers

I hope this helps a little!!! but if you need more details just ask
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