Joleen and Pablo want to fertilize a rectangular garden
with an area of A square feet. They know that 5 cups of
fertilizer will cover an area of 240 square feet. They each
write an equation to represent the relationship between
the area, A, and the number of cups of fertilizer, c.
Joleen's equation: A = 480
Pablo's equation: c = 45
:
-А
Which of the equations is correct? Explain how you know.

Answer:

In theory I would have started looking at the critical points of the function, ie where the tangent plane is horizontal. Trick is, since the function is linear in both x and y the tangent plane is the curve itself, and it's never horizontal. We have to parametrize the border and look in there.

From the last two conditions ([tex]x>0; y>0[/tex]) we are looking only at the first quadrant. Let's start drawing lines.

The various restrains are color coded in the graph ([tex]x+2y<10[/tex] is red, [tex]x+y<6[/tex] is blue, [tex]x>4[/tex] is orange). That leads to the right triangle with a grey border that gets parametrized as shown. Due to the linearity of the original function, the maximum is at one of the extremes (upper or lower depending if the coefficient of the parameter is positive or negative). At this point is just calculating the values, pick up the largest, and see which points correspond to that value of the parameter.

Number crunching done, the maximum is at (4,2)

Answer: Y=7x+19

Step-by-step explanation:

got no time for explain hope this helper

9514 1404 393

Answer:

  y -5 = 7(x +2)

Step-by-step explanation:

Values for the slope and a point are given. That makes it convenient to use the point-slope form of the equation for a line:

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

  y -5 = 7(x +2) . . . . . . line with slope 7 through point (-2, 5)

__

Sometimes, you want the slope-intercept form of the equation. That can be found by solving for y

  y -5 = 7x +14 . . . . . . . . eliminate parentheses

  y = 7x +19 . . . . . . . . . . add 5 to both sides

__

In standard form, the same line has equation ...

  7x -y = -19

Answer:

The answer is 7.48 or 7.5

Step-by-step explanation:

If the circumference is C which is equal to 47 feet, what you have to do is divide it by pi, or 3.14 for an estimate. After that, you'll get the diameter and then divide it by 2. Now you have your radius.

Answer:

1. 5

2. 0

3. -3

4. -38

Step-by-step explanation:

from 1 to 4 i answered and solved hope its helpful

Answer:

(a) [tex]\log_72 \approx 0.3562[/tex]

(b) [tex]\log_7(\frac{147}{16} ) = 2[/tex]

Step-by-step explanation:

For the point a:

For this problem we use the information of [tex]\log_716 \approx 1.4248[/tex]

16 can be re-write as [tex]2^4[/tex]. Then you have:

[tex]\log_72^4[/tex]

Using the power property of the logarithm we have:

[tex]\log_ba^c = c\log_ba[/tex]

[tex]\log_72^4 = 4\log_72[/tex]

And this expression is equal to:

[tex]4\log_72 \approx 1.4248\\\log_72\approx \frac{1.4248}{4} \approx 0.3562\\[/tex]

For the point b:

For this problem we use the information of [tex]\log_716 \approx 1.4248[/tex] and [tex]\log_73 \approx 0.5646[/tex]

The first is use the quotient property in the given log.

[tex]\log_c\frac{a}{b} = \log_ca-\log_cb[/tex]

[tex]\log_7\frac{147}{16} = \log_7147 -\log_716[/tex]

We already know the value of [tex]\log_716[/tex] then we have to calculate the value of [tex]\log_7147[/tex].

So we factorize the number 147 in [tex]3 \cdot 7 \cdot 7[/tex] (for factorize the number start with the smaller prime and check if the remainder is 0, it is then is a primer factor of the number).

Now re-write [tex]\log_7147[/tex] as [tex]\log_73 \cdot 7^2[/tex] and by the product property get:

[tex]\log_bmn = \log_b m +\log_b n\\\log_73 \cdot 49 = \log_7 3 +\log_7 49 = 0.5646 + 2 = 2.5646[/tex]

Know replace each value in the subtraction and get the result:

[tex]\log_7147 -\log_716 = 2.5646 - 0.5646 = 2[/tex]

Answer:

   a. 6,8

Step-by-step explanation:

The only offered answer choice that lists consecutive even integers is ...

   a. 6,8

_____

Consecutive even integers differ by 2, not 4.

__

Check

The product is 6×8 = 48.

Three times the sum is 3(6+8) = 3(14) = 42.

The product is 6 more than 3 times the sum. 42+6 = 48

Answer:

B. $7.04

Step-by-step explanation:

5.28 / 3 = 1.76

1.76 x 4 = 7.04

Answer:

- 162, 486, - 1458

Step-by-step explanation:

To find the next term in a geometric sequence , multiply the previous term by the common ratio r

r = [tex]\frac{T_{2} }{T_{1} }[/tex] = [tex]\frac{-18}{6}[/tex] = - 3 , then

T₄ = T₃ × - 3 = 54 × - 3 = - 162

T₅ = T₄ × - 3 = 486

T₆ = T₅ × - 3 = - 1458

Answer:

B

Step-by-step explanation:

125/29.35=4.409171076

4.409171076 is rounded to 4.41

we have 24= 2^3 x 3 ; 18=2 x 3^2 ; 6=2 x 3

so LCM of 24, 18, 6 is 2^3 x 3^2 = 72

ok done. Thank to me :>

Answer:

C

Step-by-step explanation:

known by checking all the answers for chooses

Answer:

X = 48 inches  for the shortest side

Step-by-step explanation:

9s = first side

10s = second side

4s = third side

Perimeter = sum of the sides

 276 = 9s + 10s + 4s

  276 = 23s

 276/23 = s

     12 = s

9s = first side;  9(12) = 108

10s = second side;  10(12) = 120

4s = third side; 4(12) = 48  

Answer:

Step-by-step explanation:

X = 1(1 - 0.02)ⁿ

X = 1(0.98)²⁰

X = 0.6676

67%

Using an exponential equation, it is found that 66.76% of the current amount will be present in 20 years.

A decaying exponential function has the following format:

[tex]A(t) = A(0)(1 - r)^t[/tex]

In which:

In this problem, breaks down at a rate of 2% a year, hence [tex]r = 0.02[/tex], and:

[tex]A(t) = A(0)(1 - 0.02)^t[/tex]

[tex]A(t) = A(0)(0.98)^t[/tex]

The fraction after 20 years is A(20), hence:

[tex]A(20) = A(0)(0.98)^{20}[/tex]

[tex]A(20) = 0.6676[/tex]

66.76% of the current amount will be present in 20 years.

A similar problem is given at https://brainly.com/question/14773454

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Answer:

  B.  2/3

Step-by-step explanation:

The slope is given by the formula ...

  m = (y2 -y1)/(x2 -x1)

For points (x1, y1) = (-3, -7) and (x2, y2) = (9, 1), the slope is ...

  m = (1 -(-7))/(9 -(-3)) = 8/12 = 2/3

The slope of the line is 2/3.

Answer:

-2

Step-by-step explanation:

4x - 7 > -17

(add 7 on both sides)

4x > -10

(divide both sides by 4 to isolate x)

x > - 2.5

An integer can not be a fraction. So the smallest integer value x can be is -2 because -2 is greater than -2.5.

Answer:

y=1

Step-by-step explanation:

the y values r 1 n even using the calculation it will give 1 as y

Answer:

Step-by-step explanation:

Given:

Find {f/g)(x):

Since denominator can't be zero:

Correct choice is D

Answer:

both are c

Step-by-step explanation:

Step-by-step explanation:

Sum of 7 + (-3) = 7 +.- 3 = 7 - 3 = 4

( As + × - = -)

Sum of -3+7 = 4

We observe that both are same .

Answer:

they both give the same answer

Step-by-step explanation:

7+(_3)=+4

_3+7=+4

Check the picture below.

Step-by-step explanation:

let's say a is length, and b is width:

a = 10 + b

after this, we can write:

2(a + b) = 72

2(10 + b + b) = 72

2(10 + 2b) = 72

20 + 4b = 72

4b = 72 - 20

4b = 52

b = 52 ÷ 4

b = 13

if b = 13, then a = 10 + b = 10 + 13 = 23

so: a = 23 and b = 13

Answer:

240$

Step-by-step explanation:

juanita has saved 20% of the money that she needs to buy a new bicycle. if she has saved $48, how much does the bicycle cost?

48 : 20 * 100 = 240

Answer:

29 x 8 = 191

62 x 19 = 1,178

8.7 x 12 = 104.4

11.9 x 4 = 47.6

45 x 6 = 270

[tex]2x^2 -5x-8 =0\\\\\implies x = \dfrac{ -(-5) \pm \sqrt{(-5)^2 - 4\cdot 2 \cdot (-8)}}{2 \cdot 2}\\\\\\\implies x = \dfrac{5 \pm \sqrt{89}}{4}\\\\\\\text{Hence}~ x = \dfrac{5 + \sqrt{89}}{4},~~ x = \dfrac{5 - \sqrt{89}}{4}[/tex]

Answer:

[tex]\sf \boxed{\sf x=\frac{5+\sqrt{89}}{4}}[/tex]

[tex]\sf \boxed{\sf x=\frac{5-\sqrt{89}}{4}}[/tex]

[tex]\sf 2x^2-5x-8=0[/tex]

☁ We'll solve this equation using The Quadratic Formula:

[tex]\boxed{\sf \cfrac{-b\pm \sqrt{b^2-4ac}}{2a}}[/tex]

A= 2, b= -5, c= -8

[tex]\sf x=\cfrac{-\left(-5\right)\pm \sqrt{\left(-5\right)^2-4\times \:2\left(-8\right)}}{2\times \:2}[/tex]

[tex]\mapsto \sf \sqrt{\left(-5\right)^2-4\times \:2\left(-8\right)}[/tex]

[tex]**\sf \left(-5\right)^2=5^2[/tex]

[tex]\mapsto \sf \sqrt{5^2+4\times \:2\times \:8}[/tex]

[tex]\mapsto \sf \sqrt{5^2+64}[/tex]

[tex]\mapsto \sf \sqrt{89}[/tex]

______________

[tex]\sf x=\cfrac{-\left(-5\right)\pm \sqrt{89}}{2\times \:2}[/tex]

☁ Now, we'll Separate solutions, first, we'll solve the equation when ± is plus:

[tex]\mapsto \sf \cfrac{-\left(-5\right)+\sqrt{89}}{2\times \:2}[/tex]

☁ Multiply 2*2 =4

[tex]\boxed{\sf \cfrac{5+\sqrt{89}}{4}}[/tex]

_________________

☁ Now solve the equation when ± is minus:

[tex]\mapsto \sf \cfrac{-\left(-5\right)-\sqrt{89}}{2\times \:2}[/tex]

☁  Multiply 2*2 =4

[tex]\boxed{\sf \cfrac{5-\sqrt{89}}{4}}[/tex]

[tex]\sf Solution \:1:\boxed{\sf x=\frac{5+\sqrt{89}}{4}}[/tex]

[tex]\sf Solution \:2:\boxed{\sf x=\frac{5-\sqrt{89}}{4}}[/tex]

☁❅☁❅☁☁❅☁❅☁☁❅☁❅☁❅☁

Learn more: https://brainly.com/question/22286698

Answer:

d wound be the only answer I think

Answer:

B, and A

Step-by-step explanation:

big brain time

Answer:

a = 3, b = -1, c = -1

Step-by-step explanation:

3x² - x - 1 = 0  ⇒  3x² - 1x - 1 = 0

a = 3, b = -1, c = -1

Answer:

M/140 = 50/60 or C

Step-by-step explanation:

Since the total is 200 it will be the denominator but we already have 60 gallons so we do 200-60=140

the ratio is 50 per 60

Answer:

9 feet

Explanation :

9 feet beacause

1 in. = 1 foot so 9 in. = 9 feet

Answer:

c = 105 degres

Step-by-step explanation:

When two lines cross like that and form an x, the opposite sides are equal (so the angle below the 75 degree one is also 75 degees). Using this, you can figure out the rest.

If both the top an bottom are equal, you know that 150 degres are taken (75+75) and you know that there can only be 360 degres in total here, so you subtract 150 from 360 and get 210. Now you know that the last two sides together are 210, and since they are equal, you divide it by two to get 105 degrees.

Answer:

the answer is D Because

Step-by-step explanation:

so I will say about $3.74