A soda company has determined that it's profit during lunch on a given day
could be modeled by the function P(s)=-1/3s^2+ 10s + 8 where P is the profit
and s is the number of sodas sold. Determine the amount of sodas that would
maximize profit and how much the company would earn.

Answer:

y = 116

x = 64

Step-by-step explanation:

.55x + .80y =.8* 160

x + y = 180

~~~~~~~~~~~~~~~~~~~~

x = 180-y

Answer:

at the origin, move it 3 units to the right, then raise the unit up by 8 units. Then the origin would be (0,4)

Step-by-step explanation:

Answer:

[tex] \frac{ {x}^{7} + 2x - 64 }{x} [/tex]

Step-by-step explanation:

[tex] {x}^{6} - 64 \div x + 2[/tex]

➡️ [tex] {x}^{6} - \frac{64}{x} + 2[/tex]

➡️ [tex] \frac{ {x}^{7} - 64 + 2x }{x} [/tex]

➡️ [tex] \frac{ {x}^{7} + 2x - 64 }{x} [/tex]

Answer:

16

Step-by-step explanation:

Substitute the value of the variable into the equation and simplify.

The choose 1.

[tex]4 {x}^{3} {y}^{2} \sqrt[3]{x} [/tex]

I hope I helped you^_^

The simplest radical form of the expression is [tex]4x^2 y^2\sqrt[3]{x}[/tex].

Usually, simplification involves proceeding with the pending operations in the expression.

Simplification usually involves making the expression simple and easy to use later.

When we have indices in the form [tex]ax^{2/3}[/tex] , To find the cube root of the (ax)².

This can be expressed mathematically as

[tex](\sqrt[3]{ax} )^2[/tex]

From the given expression

[tex](8x^5 y^3)^{2/3}\\\\(\sqrt[3]{(8x^5 y^3)})^{2}\\\\4x^2 y^2\sqrt[3]{x}[/tex]

Thus, the simplest radical form of the expression is [tex]4x^2 y^2\sqrt[3]{x}[/tex].

Learn more about an expression here:

https://brainly.com/question/1249625

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Answer:

D

Step-by-step explanation:

We have to find the vertex of m(t) = t² - 4t + 25

a = 1

b = 4

c = 25

To do that we first need to move the 25 to the other side by subtracting 25 from both sides

m(t) = t² - 4t + 25

- 25              - 25

m(t) - 25 = t² - 4t

To continue completing the square, we have to add 4 to both sides since it is the square of half of b.

m(t) - 25 + 4 = t² - 4t + 4

m(t) - 21 = t² - 4t + 4

Now, we already found the minimum amount of members, but let's finish the square completion to find the vertex.

m(t) - 21 = t² - 4t + 4

Factor the right side

m(t) - 21 = (t-2)(t-2)

m(t) - 21 = (t-2)²

Finish it by adding 21 to both sides

m(t) - 21 = (t-2)²

      + 21         +21

m(t) = (t-2)² + 21

With this vertex form equation, we can tell that the vertex is (2,21)

Meaning 21 is the lowest number for m(t) for this equation.

Answer:

4 ≥ x÷2.1

Step-by-step explanation:

Answer:

Brainliest, please! (Answer below)

Step-by-step explanation:

The basic form for any quadratic function is:

ax^2 + bx + c.

The constant of the 1st term, the x^2 constant, is a, the constant of the second term, the x constant, is b, and the constant, the third term, is c. There are some instances where there will not be a b or c. For example, x^2 + 2, or 3x^2 - 4x. However, there must always be an a, or else the function isn't quadratic.

Answer:

hundredth:0.3800

thousand:0.4000

tenth:0.3780

Answer:

solution:

here,

or, (2x+30)°=(3x+20)°

or,2x+30°=3x+20°

or, 2x+3x=30°+20°

or, 5x=50°

or, x=50°÷5

so that: x=10° ans

Answer:

m∠RQS = 72°

m∠TQS = 83°

Step-by-step explanation:

m∠RQS +m ∠TQS = m∠RQT

The two angles combine to make a larger angle

So

m∠RQS = (4x - 20)

m∠TQS = (3x + 14)

(4x - 20) + (3x + 14) = 155

Group the Xs and the constants

4x + 3x - 20 + 14 = 155

Combine like terms

7x - 6 = 155

Add 6 to both sides

7x = 161

Divide by 7 on both sides

x = 23

Check:

4(23) - 20 + 3(23) + 14 = 155

92 - 20 + 69 + 14 = 155

155 = 155

But we need to find m∠RQS and m∠TQS. So plug in x = 23 to the values.

m∠RQS = 4(23) - 20 = 72°

m∠TQS = 3(23) + 14 = 83°

Checking:

72 + 83 = 155

Step-by-step explanation:

28y-42-5y=-21

28y-42=-21+5y

-42=-21+5y-28y

-42=-21-23y

42=21+23y

23y=42-21

23y=21

y=21/23

Answer:

y = 15

Step-by-step explanation:

[tex] \frac{4y - 6 - 5y}{7} = - 3[/tex]

➡️ [tex] \frac{ - y - 6}{7} = - 3[/tex]

➡️ [tex] - y = 6 = - 21[/tex]

➡️ [tex] - y = - 21 + 6[/tex]

➡️ [tex] - y = - 15[/tex]

➡️ [tex]y = 15[/tex]

Answer:

Answer:

it's hard to tell the exact question being asked...

y = [tex]\sqrt{3x} + 3[/tex]

or

y = [tex]\sqrt{3x+3}[/tex]

if y = [tex]\sqrt{3x} + 3[/tex] then Domain is [0 ,∞ )  

if  y = [tex]\sqrt{3x+3}[/tex] then Domain is [-1 ,∞ )  

Step-by-step explanation:

Step-by-step explanation:

The distance between two point (x_1, y_1) and (x_2, y_2) is

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Therefore, the distance between (-1,4) and (1,-1) is

[tex]d=\sqrt{(1-(-1))^2+(-1-4)^2}=\sqrt{4+25}=\sqrt{29}=5.4[/tex]

Answer:

Inductive reasoning is the opposite of deductive reasoning. Inductive reasoning makes broad generalizations from specific observations. Basically, there is data, then conclusions are drawn from the data. ... Even if all of the premises are true in a statement, inductive reasoning allows for the conclusion to be false.

Step-by-step explanation:

Answer:

The slope should be calculated using the formula [tex](7 - 9) / (1 - 3)[/tex] instead of the one that was proposed in the question.

Step-by-step explanation:

The slope of a line in a cartesian plane is the rate at which [tex]y[/tex] changes with respect to [tex]x[/tex].

For this line, the value of [tex]y[/tex] increased (vertically) from [tex]7[/tex] at [tex](1,\, 7)[/tex] to [tex]9[/tex] at [tex](3,\, 9)[/tex] as the value of [tex]x[/tex] increased (horizontally) from [tex]1[/tex] to [tex]3[/tex].

In other words, [tex]y[/tex] changed by [tex](9 - 7)[/tex] while [tex]x[/tex] changed by [tex](3 - 1)[/tex].

The slope of the line (rate at which [tex]y[/tex] changes with respect to [tex]x[/tex]) would be:

[tex]\displaystyle \frac{\text{rise}}{\text{run}} = \frac{(9 - 7)}{(3 - 1)} = \frac{(7 - 9)}{(1 - 3)}[/tex].

In general, for a line that goes through [tex](x_1,\, y_1)[/tex] and [tex](x_2,\, y_2)[/tex], where [tex]x_{1} \ne x_{2}[/tex]:

[tex]\begin{aligned}\text{slope}&= \frac{(y_1 - y_2)}{(x_1 - x_2)} = \frac{(y_2 - y_1)}{(x_2 - x_1)}\end{aligned}[/tex].

Answer:

Answer:

120°

Step-by-step explanation:

The protractor shows that ∠AOE is 120°. If A started from the left, then it would be 60°.

Answer:

120

Step-by-step explanation:

Answer:

60°

Step-by-step explanation:

2x and x are linear pair,

=> 2x + x = 180

=> 3x  = 180

=> x = 180/3

=> x = 60°

=>2x =120°

Answer:

x = 60

Step-by-step explanation:

x + 2x =  180   {linear pair}

Combine like terms

3x  = 180

Divide both sides by 3

x = 180/3

x = 60

Hi ;-)

[tex]-28=2x+8-5x\\\\2x+8-5x=-28\\\\2x-5x=-28-8\\\\-3x=-36 \ \ /:(-3)\\\\\huge\boxed{x=12}[/tex]

Answer:

x=12

Step-by-step explanation:

-28=2x+8-5x

-28=-3x+8

Add 3x on both sides:

3x-28=-3x+8+3x

3x-28=8

Add 28 on both sides:

3x-28+28=8+28

3x=36

Divide 3 on both sides:

3x/3=36/3

x=12

Hi! I'm happy to help! (sorry for the wait, my computer crashed)

A linear function is where one variable is independent (x), and another is dependent. This means that we use x to solve for y, y depends on x to be found.

To solve this, we use an equation call slope intercept form, which states that y=mx+b.

There is only 1 solution line. (to solve for how to find y, you only have to have two verifications)

For our first table, we have x as 1, 2, 3,and 4. y is 3, 6, 12, and 24.

For our first set, with x is one and y is 3, there are infinite solutions, so we have to test and see if it matches the second set of x is 2 and y is 6.

How I like to check for what m will be, I check the first two y values. The first two are 3 and 6. They have an increase of 3, so m will be 3. (this only works when x increases by 1)

With m being 3, we can solve for b, to complete the equation:

3=(3(1))+b

3=3+b

With this, b must equal 0

3=3+0

Now, we just have to check if this equation matches all of the other x values:

6=(3(2))+0

6=6+0

__________________________________

12=(3(3))+0

12=9+0

12≠9

This equation doesn't seem to work, so this is not a linear function.

For our next table, our first two y values are 2 and 5, which have a increase of 3, so our m will be 3 again.

Now, let's solve for b:

2=(3(1))+b

2=3+b

In this case, b will be -1 because 2=3-1

Now, let's check if this matches up with our other values:

5=((3)2)-1

5=6-1

_______________________________

9=((3(3)-1

9=9-1

9≠8

This equation doesn't work, so it is not a linear function.

For our next table, we have our first two y values as -3, and -5. This has a decrease of 2, so our m will be -2.

Now, let's solve for b:

-3=((-2)1)+b

-3=-2+b

In this equation, b will be -1 because -3=-2-1.

Now, let's check our other values:

-5=(-2(2))-1

-5=-4-1

___________________________________________

-7=(-2(3))-1

-7=-6-1

______________________________________________

-9=(-2(4)-1

-9=-8-1

All of these values match, so this is a linear function.

If you wanted to (you don't have to, but if you needed verification) you could check the fourth problem.

Has a decrease of 2, so m would be -2. Plug it in:

-2=(-2(1))+b

-2=-2+b

b would be 0.

Check it on the second problem:

-4=(-2(2))+0

-4=-4+0

Check the third:

-2=(-2(3))+0

-2=-6+0

-2≠-6

The fourth table doesn't match either, so it is not a linear function.

You should choose option 3 because it is a linear function.

I hope this was helpful, keep learning! :D

Answer:

53240 should be divided by 5 to make it a perfect cube.

Step-by-step explanation:

Answer:

x=-10

Step-by-step explanation:

15x+8=-2+14x

15x-14x=-2-8

x=-10

The new price offers price is less than the offer of 20% discount.

Given that,
Jamil buys a video game for 20% off the original price. He pays $36, excluding sales tax. One week later, he sees an advertisement for $10 off the original price. This is the new sales price.

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

Here,
percentage of the price paid = 1 - 0.2 = 0.8
Let the original price be x,
According to the question,
36 = 0.8 (x)
x = 36/0.8
x = $45
Since the original price is $45,
As of the new price, the price is $10 so the price becomes $35 which is less than a 20% discount.

Thus, the new price offers price is less than the offer of 20% discount.

Learn more about percentages here:

brainly.com/question/13450942

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Answer:

$125 is the interest that you might earn

[tex]\\ \sf\longmapsto I=\dfrac{PRT}{100}[/tex]

[tex]\\ \sf\longmapsto I=\dfrac{5000(2.5)(1)}{100}[/tex]

[tex]\\ \sf\longmapsto I=\dfrac{12500}{100}[/tex]

[tex]\\ \sf\longmapsto I=\$ 100[/tex]

Answer:

[tex] {x}^{4} + x {}^{2} + 1 \\ \\ {x}^{4} + 2 {x}^{2} - {x}^{2} + 1 \\ \\ (x {}^{4} + 2 {x}^{2} + 1) - {x}^{2} \\ \\ ( {x}^{2} + 1) {}^{2} - {x}^{2} \\ \\ ( {x}^{2} + 1 + x)( {x}^{2} - x + 1) \\ \\ ( {x}^{2} + x + 1)( {x}^{2} - x + 1)[/tex]