Melissa bought 3 bags of apples and 5 bags of pears. The pears cost $3 more per
bag than the apples. She pays a total of $55. Which of the following are true?
Choose all that apply. *
A: The cost p, in dollars, of 1 bag of pears is modeled by 5p + 3(D-3) = 55
B: One bag of apples plus one bag of pears costs $13
C: The cost, a, in dollars, of 1 bag of apples is modeled by 3(a - 3) + 5(a) = 55
D: Reducing the number of bags of apples by one would result in a total cost of $50
E: The pears cost twice as much as apples per bag.

The given function is [tex]y=x^2+7[/tex].

Minimum or maximum value:

At the extremum (maximum or minimum) value, the function will have zero slope. So, differentiate the given function once and equate it to zero to get the extremum point.

dy/dx=0

[tex]\Rightarrow 18x=0\cdots(i)[/tex]

[tex]\Rightarrow x=0[/tex]

Now, check whether the point x=0 is corresponding to the maximum value or minimum value by differentiating the function twice,

[tex]\frac {d^2y}{dx^2}=18[/tex]

As [tex]\frac {d^2y}{dx^2} >0[/tex] for all value of x, so x=0 is the point corresponding to minima.

Put x=0 in the given function to get the minimum value.

[tex]y_{min}=9(0^2)+7[/tex]

[tex]y_{min}=7[/tex]

Domain and range:

The function defined for all the values of the independent variable, x.

So, the domain is [tex](-\infty, \infty)[/tex].

The range of the function is the possible value of y.

The minimum value, for x=0, is y=7.

The maximum value, as [tex]x\rightarrow \infty \;or\; -\infty, y\rightarrow \infty[/tex].

Hence the range of the function is [tex][7,\infty)[/tex].

The value of x for which the function is increasing and decreasing:

If the slope of the function is negative than the function is decreasing, so

Then, from equation (i), the value of x for which dy/dx<0,

18x<0

[tex]\Rightarrow x<0[/tex]

Hence, the function is decreasing for [tex]x\in {-\infty, 0)[/tex] .

While if the slope of the function is positive than the function is increasing, so

Then, from equation (i), the value of x for which dy/dx<0,

18x>0

[tex]\Rightarrow x>0[/tex]

Hence, the function is increasing for [tex]x\in {0,\infty)[/tex]

Answer:

Both of them work

Step-by-step explanation:

by multiplying the first equation by 2 it creates the same coefficient in front of "p" for both equations. same for the second equation and "q".

Both strategies works since we can easily eliminate a variable from both equations.

Given the simultaneous equation solved by Tyler

4p + 2q = 62

8p - q = 59

In order for him to eliminate a variable to solve the system of equations, he must ensure that the coeffiecient of the variable to be eliminated are equations in both expressions. To do that;

8p + 4g = 124

8p - q = 59

Subtract

4q + q = 124 + 59

5q = 183

The second required strategy is  to Multiply 8p-q=59 by 2, then add the result to 4p + 2q = 62, to have:

16p-2q=118

4p + 2q = 62

Adding up

16p + 4p = 118 + 62

20p = 180

p = 9

We can see that both strategies works since we can easily eliminate a variable from both equations.

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Answer:

$606

Step-by-step explanation:

For the first 40 hours, she was making $12. With this, we can do 12x40, which is 480$. We can store that in a safe space for later access. Afterwards, since the problem says that "after 40 hours she earns time and a half for her work" we can assume she gets 1.5x her pay after 40 hours, which is $18 (We can get this by 12 / 2 = 6. Then do 12 + 6 = 18). Then we can do 18x7 because she worked 7 hours over 40. With that, we get 126$. Now we can do 480$ + 126$ = 606$. So, she earned 606$.

Answer: 2x - 4y = -1

Step 1: Move the variable.

2x - 4y = 4y - 1 - 4y

Step 2: Remove the opposites.

2x - 4y = -1

Answer = 2x - 4y = -1

Hope this helps!

Answer:

2x - 4y = -1

Step-by-step explanation:

Ax + By + C

A = 2

B = -4

C = -1

Answer:

√1 is a rational number as it is 1. The other three options are irrational.

Answer:

                                                       1 4 6 10

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Answer:

Step-by-step explanation:

1. -10+18+6=8+6=14

2. -1+84=83

3. -2×(−6)2 +7=12×2+7=24+7=31

4. 50-(−6)2 +(−8)=50+12-8=62-8=54

5. (-2+2)× (−3)3=0× (−3)3=0

6. 30+8-42=38-42=-4

7. -9-2-1=-12

8. -32+6+6=-20

9. -10×3÷5+9=-30÷5+9=-6+9=3

10. -24÷ 8 + 33=-3+33=30

Answer: 34.78 gallon

Step-by-step explanation:

Exponential equation for decay:

[tex]A=P(1-r)^t[/tex] , where p = initial amount, r= rate of decay , t= taime

As per given,

r= 8% = 0.08

For days 1 , i.e. at t= 0 , P= 32 gallons

[tex]1=32(1-0.08)^t\\\\\Rightarrow\ \dfrac{1}{32}=(1-0.08)^t \\\\\Rightarrow\ \ln \left(\frac{1}{32}\right)=t\log (0.92)\\\\\Rightarrow\ t=-\frac{5\ln \left(2\right)}{\ln \left(0.92\right)}=41.5\approx42[/tex]

Total water = [tex]\dfrac{a(1-r^n)}{1-r}=\dfrac{32(1-0.08^{42})}{1-0.08}=34.782[/tex]

hence, the the total number of gallons of water that leaked from the tank = 34.78 gallon approx.

Answer:

-502.5 − 115 = -617.5

The submarine’s elevation after its final dive is -617.5 feet, or 617.5 feet below sea level.

Step-by-step explanation:

Plato answer

Answer:

63 1/4

Step-by-step explanation:

I did the edmentum

Answer: 2/8

Step-by-step explanation:

Answer:

Transversal line

Step-by-step explanation:

That is a picture of a Transversal line, a Transversal line intersects 2 or more parallel lines.

========================================================

Explanation:

Consider a triangle with side lengths a,b,c such that a < b < c

a = 3 and b = 19 are the two known sides

Let c be the missing side length

The missing side has the property that...

b-a < c < b+a

19-3 < c < 19+3

16 < c < 22

Meaning that if c is a whole number then it can take on any of these values {17, 18, 19, 20, 21}

So c = 21 is the largest possible third side, where only whole number sides are considered.

We can't have a third side of 22 because the two other sides add to a+b = 3+19 = 22 and a triangle wouldn't form (instead only a straight line would). I recommend cutting out strings of paper trying this out yourself.

---------------

Side note: The inequality b-a < c < b+a is a variation of the triangle inequality theorem.

Answer:

162 is greater than 130.. if that's what your are talking about..

Answer:

8/7 or  1 1/7

Step-by-step explanation:

Answer:

8/7

Step-by-step explanation:

Answer:

[tex]2^{14}[/tex] is the answer. Hope this helped!!

Step-by-step explanation:

Answer:

4th one please give me brainliest

Step-by-step explanation:

Answer:

k = 28/7 which equals 4

Step-by-step explanation:

1/2k + 6 = 4k - 8

1/2k - 4k = -8 - 6

1/2k - 8/2k = -14

-7/2k = -14

k = -14 * - 2/7

k = 28/7 which equals 4

Answer:

k=-7/4 or -1.75

Step-by-step explanation:

Answer:

i think its the first one

Step-by-step explanation:

Answer:

Step-by-step explanation:

.77

Answer:

0.77

Step-by-step explanation:

It goes on and on most people but just say 0.77

There is no graph or further explanation for a question to answer

Answer:

4.5 in. is equivalent to 337.5 ft.

Step-by-step explanation:

The given parameters are;

The scale of the scale map is 2 in. to 150 ft.

The measured length on the scale map = 4.5 inches

The actual distance of the location is given as follows;

2 in. is equivalent to 150 ft.

Therefore;

1 in. is equivalent to 150 ft./2 = 75 ft.

4.5 in. will be equivalent to 4.5 × 75 ft. = 337.5 ft.

4.5 in. will be equivalent to 337.5 ft.

Answer: The answer has to be

d. t and u

Step-by-step explanation:

Answer:the answer is b :)

Step-by-step explanation:

Given :

The equation below can be used to determine I (simple interest) on a loan as follows :

[tex]I=Prt[/tex] ...(1)

P is principal, r the rate of the loan,  t is the length of the loan in years.

We need to find the equation to solve in terms of r. We can find the value of P.

Dividing both sides of equation (1) by rt. So,

[tex]\dfrac{I}{rt}=\dfrac{Prt}{rt}\\\\P=\dfrac{I}{rt}[/tex]

So, P can be solved as : [tex]P=\dfrac{I}{rt}[/tex].

Answer: the answer is d/f+3

sorry i couldnt find my work for this problem but i hope it helps !

An equation is formed of two equal expressions. When in the given equation the value fo b is d/(f+3).

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

fb + 3b = d

Take b as a common term from both the terms on the left side of the equation,

b(f + 3) = d

Divide both the sides of the equation by (f+3),

b(f + 3)/(f+3) = d/(f+3)

Simplify,

b = d/(f+3)

Hence, when in the given equation the value fo b is d/(f+3).

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Answer:

20,000

Step-by-step explanation:

Ah yes. The pictures are below. Let me know in comments if you can see the pics.

Answer:

467 000 000

Step-by-step explanation:

4.67e-8 is rewritten as 4.67 x 10^-8.

Negative -> decimal with lots of places, Positive -> big, big number

Move the decimal place right 8 times so you end up with a small decimal.

4.67 -> 467000000

Answer:

no

Step-by-step explanation:

Answer:

yes, it doesn't go on infinitely it stops at thousandths

Distance will be the hypotenuse of a right triangle.

Distance^2 = 3^2 + 4^2 = 9 + 16 = 25

Distance = 5 km