What is the y-inetrcept of -3x-9y=18

Answers

Answer 1

Answer: Simple,

re-write it in y=mx+b for to find your y-intercept..

-3x-9y=18
+3x +3x

-9y=3x+18
/
-9

$y= -(x)/(3) -2$

Thus, your y-intercept is, -2.

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Please help!The guidelines for a healthy adult are to maintain a Body Mass Index (BMI) between 19.5 and 24.9. A formula that relates the height of an adult to his or her weight and BMI is shown in the picture below, where h=height in inches, w=weight in pounds, and M=BMI.

1.) Find the formula that will directly calculate BMI given a person's height and weight.

2.) Chris weighs 211 pounds and has a BMI of 28.5. How many whole pounds must he gain or lose to get into the healthy BMI range?

Thank you!!

Answers

1. $h=40\sqrt{(.45w)/(M)}\Rightarrow(h^2)/(1600)=\frac{.45w}M\Rightarrow M=(720w)/(h^2)$

2. his BMI has to be reduced by 28.5-24.9=3.6

We must thus solve $(720w)/(h^2)=3.6$ thus $(720w)/(h^2)=3.6h^2/720=.005h^2$ . We can know his height using the first formula : $h=40\sqrt{(.45w)/(M)}=40\sqrt{(.45*211)/(28.5)}\approx73.01$

Hence he must lose $(73.01)^2*.005\approx26.6$ -> 27 pounds.

We check our result : $720*(211-27)/(73.01^2)\approx24.85<24.9$

To answer the first problem you are going to need to solve the equation for M (BMI). In order to do this you need to rearrange the variables h and w to one side of the equation, and M by itself on the other side. After doing this your equation should look like:
M = (0.45*w) / ((h / 40)^2)

For part 2 we must first solve for Chris' height so that we can find his healthy range. You should use the original equation for this. You should get 73.0105 inches as an answer. Now we must solve for his weight using 24.9 as the upper limit of the healthy BMI range as well as his height. You need a new formula solving for w. I am not going to put this formula here but I will just solve for W.
His healthy weight in pounds turns out to be 184.348 pounds. In order to get into this range, he must lose 211 - 184.348 = 26.6524 pounds. Since it asks how many whole pounds he must lose you should put 27 pounds as your answer.
Hope this helped!

The first term of an arithmetic sequence is -5, and the tenth term is 13. Find the common difference.8/9
1.8
2

Answers

2

Working
The nth term of an arithmetic series is calculated using the formula
nth term= a+ (n-1) d
a= -5, n =10 and nth term in this case is 13
Thus
13= -5 +(10-1)d
13= -5+9d
9d= 18
d = 2

Answer:

Step-by-step explanation:

Working

The nth term of an arithmetic series is calculated using the formula

nth term= a+ (n-1) d

a= -5, n =10 and nth term in this case is 13

Thus

13= -5 +(10-1)d

13= -5+9d

9d= 18

d = 2

Bicycle rental on the seawall at the beach cost a mandatory minimum of $5 for the first hour and then $4 for each additional hour. When three or more bikes are rented together, the owner gives a 20% discount on the additional hours. If Marty and his family rent four bicycles, identify the expression which represents the cost.A) 12.8x + 20x
B) 12.8x + 20
C) 12.8x + 16x
D) 32.80x

Answers

Answer: The correct option is (B) $12.8x+20.$

Step-by-step explanation: Let, 'x' be the number of hours for which the bicycle is rented except the first hour.

Then, according to the given information, the cost of renting 1 bicycle is given by

$c=4x+5.$

There is a discount of 20% on additional hours 'x' when three or more bikes are rented together.

Since Marty and his family rent four bicycles, so the discount on additional hours for 1 bicycle is given by

$D=20\%* 4x=(20)/(100)* 4x=(4)/(5)x.$

Therefore, the total cost of renting 4 bicycles is given by

$C=4\left(5+(4x-(4)/(5)x)\right)=4\left(4+3.2x\right)=12.8x+20.$

Thus, the required expression for the cost is $12.8x+20.$

Option (B) is correct.

Cost = fix cost + hourly cost - discount

Cost = 4* [5 + 4x - 4x(20/100)] = 4*[5 + 4x - 0.8x] = 4*[5 + 3.2x] = 20 + 12.8x

Answer: option B) 12.8x + 20

What is f(–3) for the function f(a) = –2a2 – 5a + 4?.

Answers

The answer is 1. f(a) = –2a^2 – 5a + 4. If a = -3, then to find f(-3) we have to substitute a in the general formula. f(a) = –2a^2 – 5a + 4 = -2 * a^2 – 5 * a + 4. Substitute a with -3. f(-3) = –2 * (-3)^2 – 5 * (-3) + 4 = -2 * 9 - (-15) + 4 = -18 + 15 + 4 = 1

Which fraction (in simplest form) is equivalent to 0.49?A.12/25
B.49/100
C.7/50
D.10/49