Andrea is selling candles for a fundraiser. She spent $50 on supplies for making the candles. She plans to sell the
candles for $10 each. The function of her profit can be modeled by c(x) = 10x - 50. The x represents the number
of candles she makes. She only has enough supplies to make 100 candles. What is the independent variable?

Answer:

b

Step-by-step explanation:

a is not correct because the domain includes negative numbers as well

c is not correct because the domain includes positive numbers as well

and

d is not correct because the range for this function includes ordered pairs from the quadrants I and III (not I and IV)

hope this helps :)

Answer:

D=16m

Step-by-step explanation:

D=16t^2

D=16×1

D=16m

Answer:

62 m/s = 138.7 mi/h

Step-by-step explanation:

62 m/s = 62 x (3600/1000) x (1/1.61)

= 138.7 mi/h

Best Regards!

Answer:

(-1,5)

Step-by-step explanation:

To find this, you have to add both "x" coordinates, then divide them by two.

Same thing goes for the "y" coordinates, add them, then divide them by two.

x-coordinates --->  2+(-4)= -2

y-coordinates ---> 1+9= 10

-2÷2= -1

10÷2= 5

That gives you, (-1,5).

Answer:

its A.

Step-by-step explanation:

I just answered it :)

Answer:

She did not align the decimal points.

Step-by-step explanation:

Answer:

8/54 or 4/27

Step-by-step explanation:

(8/9)/6 =

8/9 ÷ 6 when divide turn the division sign into multiplication and flip the second fraction ( reciprocal))

8/9*1/6 = 8/54  if simplified =4/27

Answer:

4/27

Step-by-step explanation:

8/9 ÷ 6 = 4/27

8+3a-2a+7=0

8+a+7=0

a+15=0

a= (-15)

Hope it helped

Answer:

31

Step-by-step explanation:

Since be is in the middle its connecting the two.

So you will add the 11 and 20 to get 31

Answer:

the width is 2.9

Step-by-step explanation:the perimeter is found by L+W+L+W. Each L is going to be the same length and each width is going to be the same length since its a rectangle.

Double the length. 8.3+8.3= 16.6

Then subtract that from the perimeter. 22.4-16.6= 5.8

Then divide 5.8 as that is the total of the two missing sides. 5.8/2= 2.9

Then 2.9 is your answer. Hope that helps.

Answer:

B. all real numbers

Step-by-step explanation:

hope that helps

Answer:

B  hope this helps :)

Step-by-step explanation:

Answer:

2000

Step-by-step explanation:

just muliply

Answer:

∛8 = 2

Step-by-step explanation:

[tex]\sqrt[3]{8}[/tex]

=2

2*2*2 = 8

Answer:

To solve for an equation with two variables, substitute a zero(0) into the other variable and find one variable.

Step-by-step explanation:

To solve for an equation with two variables, substitute a zero(0) into the other variable and find one variable.

Simple Example:

3x+3y=12

Substitute 0 as y,

3x+0=12

3x=12

12/3=4

x=4

Now substitute 4 into the main equation,

3(4)+3y=12

12+3y=12

-12      -12

3y=0

0/3=0

y=0

So the answer is

3(4)+3(0)=12

12=12

Answer:

c

Step-by-step explanation:  3 is not bigger than 9 so it can't bump it up so it stays like that.

Answer:

63

Step-by-step explanation:

∫₂⁴ f(x) g"(x) dx

Integrate by parts.

If u = f(x), then du = f'(x) dx.

If dv = g"(x) dx, then v = g'(x).

∫ u dv = uv − ∫ v du

= f(x) g'(x) − ∫ g'(x) f'(x) dx

f'(x) is constant at 3, so:

= f(x) g'(x) − ∫ 3 g'(x) dx

= f(x) g'(x) − 3 g(x)

Evaluate from x=2 to x=4.

[f(4) g'(4) − 3 g(4)] − [f(2) g'(2) − 3 g(2)]

[(13) (7) − 3 (9)] − [(7) (1) − 3 (2)]

64 − 1

63

The required value of [tex]\int\limits^4_2 {f(x)g"(x)} \, dx (1)[/tex] is 63.

Given that,

The table above gives selected values of twice-differentiable functions f and g,

The first two derivatives of g. If f′ (x) = 3 for all values of x.

We have to determine,

What is the value of [tex]\int\limits^4_2 {f(x)g"(x)} \, dx (1)[/tex].

According to the question,

To obtain the value of given function, integrating the function,

[tex]= \int\limits^4_2 {f(x)g"(x)} \, dx (1)[/tex]

Integrating by using by-parts.

[tex]= \int\limits^4_2 {f(x)g"(x)} \, dx (1)\\\\if\ u = f(x), \ then \ du = f'(x)dx\\\\if \ dv = g"(x)dx, \ then \ v = g'(x)\\\\[/tex]

Then,

[tex]\int u\ dv = uv\ - \ \int v \ du\\\\= f(x) \ g'(x) - \int g'(x) f'(x) \ dx\\[/tex]

if f'(x) is constant at 3,

Then,

[tex]= f(x) g'(x) - \int g'(x)\dx\\\\= f(x) g'(x) -3g(x)[/tex]

Substitute from x = 2 to x = 4 then evaluate,

[tex]= [f(4)\ g'(4) - 3 \ g (4)]- [f(2)\ g'(2) - 3 \ g (2)]\\\\= [(13).(7) - 3.(9)] - [7.(1)- 3.(2)]\\\\= [91-27} - {7-6}\\\\= 64-1\\\\= 63[/tex]

Hence, The required value of [tex]\int\limits^4_2 {f(x)g"(x)} \, dx (1)[/tex] is 63.

To know more about Integration click the link given below.

https://brainly.com/question/14716088

Answer:

28

Step-by-step explanation:

I hope this helps!

Answer:

28!

Step-by-step explanation:

Answer: x = -10

Step-by-step explanation:

Answer:

Perimeter of 1st rectangle=20cm

Perimeter of 2nd rectangle=52cm

Answer:

Step-by-step explanation:

1.

[tex]n -8 =-3\\\\Collect\:like\:terms\\n = -3+8\\\\Simplify ; -3+8 = 5\\\\n =5[/tex]

2.

[tex]-2m=-24\\\\Divide\: both \:sides\:of\:the\:equation\:by\:-2\\\\\frac{-2m}{-2} = \frac{-24}{-2} \\\\Simplify ; -2m/-2 = m , -24/-2 = 12\\\\m =12[/tex]

3.

[tex]\frac{m}{2}=-7\\\\Cross\:Multiply\\\\m\times 1 = 2\times -7\\\\m = -14[/tex]

4.

[tex]\frac{2}{3}y=20\\ \\\frac{2}{3} y = \frac{20}{1} \\\\Cross\:Multiply\\\\2y\times 1 = 3\times 20\\\\2y = 20\\\\\mathrm{Divide\:both\:sides\:by\:}2\\\frac{2y}{2}=\frac{60}{2}\\\\Simplify\\y = 30[/tex]

[tex]\text{Hi there! :]}[/tex]

[tex]\large\boxed{y = 8}[/tex]

[tex]3y + 8 = 1/2y + 28\\\\\text{Subtract 8 from both sides:}\\\\3y + 8 - 8 = 1/2y + 28 - 8\\\\3y = 1/2y + 20\\\\\text{Subtract 1/2y from both sides:}\\\\3y - 1/2y = 1/2y - 1/2y+ 20\\ \\\text{Convert 3y to 6/2y to make subtracting easier:}\\5/2y = 20\\\\\text{Divide both sides by 5/2 (Multiply by reciprocal, or 2/5):}\\\\\\5/2y * 2/5 = 20 * 2/ 5\\\\y = 8[/tex]

Answer:

128

Step-by-step explanation:

Answer:

d=hf+5

Step-by-step explanation:

Step 1: Factor out variable d.

d(f+5)=h

Step 2: Divide both sides by f+5.

d(f+5)f+5=hf+5

d=hf+5

Answer:

$13.75

Step-by-step explanation:

0 weeks = 260

4 weeks = 315

8 weeks = 370

Every 4 weeks, the rate of change is $55 as can be seen by 315 - 260 = 55 and 370 - 315 = 55.

Per week, the rate of change is $13.75 This is because $55 ÷ 4 weeks = rate of change per week

55 ÷ 4 = 13.75

Answer:

Julio is paid 1.4 times his normal hourly rate for every excess hour he works in a week.

last week he worked 35 hours and got 436.60 dollars.

We need to find an equation so we can be able to solve Julio’s earnings:

=> Let X be the value of Julio’s rate

=> 30 * X + 5 x 1.4x = 436.6

=> 30x + 7x = 436.6

=> 37x = 436.6

=> 37x / 37 = 436.6 / 37

=> x = 11.8

Thus the original rate of Julio is 11.8 dollars

=> 1.4 x 11.8 = 16.52 dollars, the rate of Julio with added rate

=> 30 x 11.8  + 5 x 16.52

=> 354 + 82.6

=> 436.6

Step-by-step explanation:

Answer:

$2,500

Step-by-step explanation:

1.) 5% would be switched to decimal form which is 0.05

To do this, start with 5.

Move the the decimal point two place values to the left.

2.) Now multiply 50,000 and 0.05

3.) This equals 2,500

Answer:

(a) [tex]x \leq 2.5[/tex]

(b) [tex]x \geq 2[/tex]

Step-by-step explanation:

Solving (a):

[tex]0.4x - 1 \leq 0[/tex]

Add 1 to both sides

[tex]0.4x - 1 + 1\leq 0 + 1[/tex]

[tex]0.4x \leq 1[/tex]

Solve for x

[tex]x \leq 1/0.4[/tex]

[tex]x \leq 2.5[/tex]

Solving (b):

[tex]2.3x \geq 4.6[/tex]

Solve for x

[tex]x \geq 4.6/2.3[/tex]

[tex]x \geq 2[/tex]

Since A is the midpoint of BC, we can assume BA and AC are equal to each other.

We also know that BC = BA + AC = 23 + 23 = 46

Answer:

the domain or set of departure of a function is the set into which all of the input of the function is constrained to fall.

Step-by-step explanation:

didn't know if you needed the definition or not :)