A farmer has 1000 feet of fencing and wants to enclose a rectangular yard, and divide it into four pens as shown.
a. Find a function A(x) modeling the total area as a function of x, Hint: write the amount of fencing needed
in terms of x and y and set that equal to 1000, then you can solve for y. This should allow you to write
down the area in terms of x alone. Your function should be a quadratic function.

Answer: 2

Step-by-step explanation:

Given:  14 mystery books, 12 science-fiction books, and 8 historical-fiction books needs to b shipped.

If they want to pack one genre of book in each box such that they pack same number of books in each box.

Then, the greatest number of books Barnes and Noble can pack in each box

= GCD(14,12,8)

Since, 14 = 2 x 7

12 = 2 x 2 x 3

8 = 2 x 2 x 2

GCD(14,12,8)=2

Hence, the greatest number of books Barnes and Noble can pack in each box = 2

Answer:

Your answer is: (x , -1 -7x/9 )

Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.

Step-by-step explanation:

Hope this helped : )

Answer:

B

Step-by-step explanation:

6(5)-8=22-(5-5)

30-8=22

22=22

Answer:

75 weeks

Step-by-step explanation:

We can write a ratio to solve

10 weeks       x weeks

--------------- = ---------------

2 hours          15 houses

Using cross products

10 * 15 = 2 * x

150 = 2x

Divide by 2

150/2 = 2x/2

75 = x

75 weeks

Answer:

12 minutes.

Step-by-step explanation:

Marla uses two copiers to make copies of a one-page newsletter. *Copier R makes 60 copies per minute. *Copier T makes 40 copies per minute.

Since both copier start at the same time, let the number of minutes used by both copiers be represented by x

60 × x + 40 × x = 1200 copies

60x + 40x = 1200

100x = 1200

x = 1200/100

x = 12 minutes

Therefore, it will take 12 minutes l to make 1200 copies.

Answer:

I don't understand the question but 5 would be close to 0 10 would be beside 5 15 will be beside 10 20 will be close to 15 30 will be next to 60

Answer:

253=69g or 253=69(g)

Step-by-step explanation:

Answer:

400

Step-by-step explanation:

Answer:

ASA

Step-by-step explanation:

Answer: what is the question though

Step-by-step explanation:

Answer:

The inverse of the function is

P^-1(t) = Log5 t - Log5 19,300

or P^-1(t) = Log5 (t/19,300)

Step-by-step explanation:

Here, we want to find the inverse of the function.

Make t the subject of the formula, then solve the equation for P(t)

P(t) = 19,300(5)^t

Replace P(t) with t and t with P(t)

So we have

t = 19,300(5)^P(t)

Now make P(t) subject of formula

divide both sides by 19,300

t/19,300 = 5^p(t)

By logarithmic law:

Log5 (t/19,300) = P(t)

Hence P(t) = Log5 t - Log5 19,300

Now replace P(t) with P^-1(t)

So the inverse is;

P^-1(t) = Log5 t - Log5 19,300

Answer:

C)

Step-by-step explanation:

got it right on edge :)

Answer:

Your answer is going to be r= -189

Step-by-step explanation:

(-13)-8=(r/9+8)-8

9(-21)=(r/9)9

r=-189

X^2 + 5x = -6

Add 6 to both sides:

X^2 + 5x + 6 = 0

Using the quadratic equation x = -b +/-sqrt(b^2 -4ac )/2a replace the letters with their values and solve for x.

A = 1, b = 5 , c = 6

Solving for x you get -2 and -3

The answer would be x = -3 and x = -2

Answer:

14: 1/5, 0.35, 12/25, 0.5, 4/5

17: -2 4/5,-2.6, -2.3

18: -6.0, -0.72, -5/8, -7/12

19: 1.2, 1 1/3, 1.45, 1 1/2

20: -3.0, -0.35, 0.5, 0.55

Fraction Into Decimal:

14: 1/5=0.2, 12/25=0.48, 4/5=0.8

17: -2 4/5= -2.8

18: -5/8= -0.625, -7/12=-0.583 (3 is repeated)

19: 1 1/2= 1.5, 1 1/3= 1.3 (3 is repeated)

Explanation:

To start with, you need to convert the fractions into decimals in order to compare them easier

Then, for the negatives, it might be confusing but the bigger negative will be smaller since it's further away from 0 on a number line

Also, for #19, obviously, the negatives go first but for 0.5 and 0.55, it's kinda hard to compare but for 0.5, just add a zero at the end to extend the decimal and compare it. It would become 0.50 and 0.55 would then clearly be greater.

Hope this helped! Please give me brainliest if it did! You don't have to if you don't want to but I spend a lot of time on this, haha!

Answer:

Yes, y varies directly with x. The constant of variation is -3 so the function rule would be y= -3x

Step-by-step explanation:

If you look at the y values in the table, they are just the x values but multiplied by -3.

-3 x (-3) = 9

4 x (-3) = -12

6 x (-3) = -18

Direct variation can be shown by y=kx, where k is a constant. The resulting function creates a linear graph.

Answer:

im pretty sure its 7.31

Answer: $3100

Step-by-step explanation:

Stephen plans to attend community college for two years and his expenses are only $2,000 each year. For both years, his expenses will be:

= $2000 × 2

= $4000

Since he earned a one-time $900 scholarship. The amount left to pay will be:

= $4000 - $900

= $3100

Answer:

3100

Step-by-step explanation:

Answer:

77.88 minutes

Step-by-step explanation:

Given that :

Mean (m) = 70

Standard deviation (s) = 10

For 80% of student to complete the exam. In the given time

Using the formula :

Zscore = (X - mean) / standard deviation

80th percentile = 80/100 = 0.8 has a Zscore = 0.7881

0.7881 = (X - 70) /10

0.7881 * 10 = X - 70

7.881 = X - 70

7.881 + 70 = X

77.881 = X

Hence, 77.88 minutes should be given

Answer:

just divide and add x and y

Step-by-step explanation:

Answer:

11 days

Step-by-step explanation:

2600 = 235x+15

-    1 5            - 15

2585           235x

/235             /235

11       = x

Answer:

x=-3  y=-5

Step-by-step explanation:

big brain

Answer:

-2.5

basically use slope formula which is x2-x1/y2-y1

Answer:

36in

Step-by-step explanation:

12 · 3 = 36

Answer:

Step-by-step explanation:

i'll explain how to do 9), it is the same process for the rest

y = 2x - 1

thus the value of 'y' should be the same as the result of '2x - 1'

when x = 5, 2x - 1 = 2(5) - 1 = 9, Thus (x, y) = (5, 9)

when x = 2, 2x - 1 = 2(2) - 1 = 3 Thus (x, y) = (2, 3)

when x = 0, 2x - 1 = 2(0) - 1 = 1 Thus (x, y) = (0, 1)

so in the table we have

x        2x - 1      y         (x, y)

5          9          9         (5, 9)

2          3          3         (2, 3)

0          1           1          (0, 2)

we can now plot these values on a graph to look like so

Answer:

cosB = 21/75, tanB = 72/21

Step-by-step explanation:

Here, we can use pythagoras to figure out all sides. 75^2-72^2 = 21^2. So, we have sides with lengths 21, 72, and 75. We are given that sinB = 72/75. The definition of sin is opposite of hypotenuse. So, the opposite of angle B is side CA and the hypotenuse is BA. This allows us to find that BC is the 21 length side. The cos of an angle is adjacent over hypotenuse. In this case, it is BC/BA which is 21/75. similarly, Tan is opposite over adjacent or 72/21. And we are done. Those are the values. TO remember these, use the acronym:

SOH CAH TOA. S refers to sin and OH refers to opposite over hypotenuse. Similarly C is cos, A is adjacent, and H is hypotenuse, and then T is tan,  o is opposite and A is adjacent.

Answer:

[tex]6.21\times 10^{-5}\ \text{light years}[/tex]

Step-by-step explanation:

The distance light travels in one year is known as a light year.

[tex]1\ \text{light year}=5.87\times 10^{12}\ \text{miles}[/tex]

The closest that Earth ever gets to Jupiter is [tex]3.65\times 10^8\ \text{miles}[/tex]

[tex]3.65\times 10^8\ \text{miles}=\dfrac{1}{5.87\times 10^{12}}\times 3.65\times 10^8\ \text{light years}\\\\=6.21\times 10^{-5}\ \text{light years}[/tex]

Hence, the distance it will take light to travel from Earth to Jupiter at this distance is [tex]6.21\times 10^{-5}\ \text{light years}[/tex]