**Answer:**

the answer is B because it make a 90* angle

Answer: I would say it is Csorry if I am wrong in advance.

Factorise fully

-14x - 8

ease do quick, will mark brainiest!

**Answer:**

-2( 7x+4)

**Step-by-step explanation:**

-14x - 8

Factor out -2

-2*7x -2*4

-2( 7x+4)

**Answer:**

**Step-by-step explanation:**

[tex] - 14x - 8[/tex]

**Wri****te**** ****-****8**** ****as**** ****-****4****×****2**

**[tex] - 14x + 2 \times 4[/tex]**

**Fac****tor**** ****ou****t**** ****comm****on**** ****term**** ****:**** ****2**

**[tex]2( - 7x - 4)[/tex]**

Use the Intermediate Value Theorem to show that there is a root of the given equation in the specified interval. ex = 3 − 2x, (0, 1) The equation ex = 3 − 2x is equivalent to the equation f(x) = ex − 3 + 2x = 0. f(x) is continuous on the interval [0, 1], f(0) = _____, and f(1) = _____. Since f(0) < 0 < f(1) , there is a number c in (0, 1) such that f(c) = 0 by the Intermediate Value Theorem. Thus, there is a root of the equation ex = 3 − 2x, in the interval (0, 1)

**Answer:**

[tex]f(0)=-2\\f(1)=e-1[/tex]

**Step-by-step explanation:**

According to intermediate value theorem, if a function is continuous on an interval [tex][a,b][/tex], and if [tex]k[/tex] is any number between [tex]f(a)[/tex] and [tex]f(b)[/tex], then there exists a value, [tex]x=m[/tex], where [tex]a<m<b[/tex], such that [tex]f(m)=k[/tex]

In the given question,

Intermediate Value Theorem is used to show that there is a root of the given equation in the specified interval.

Here,

[tex]f(x)=e^x-3+2x[/tex]

Put [tex]x=0[/tex]

[tex]f(0)=e^0-3+2(0)=1-3+0=-2[/tex]

Put [tex]x=1[/tex]

[tex]f(1)=e^1-3+2(1)=e-3+2=e-1[/tex]

In a coordinate plane, plot the points and sketch
angle. Write the coordinates of a point that lies in the interior of the

angle and the coordinates of a point that lies in the exterior of the

angle.

A(-5,0)

B(-1,-4)

C(4,2)

**Answer:**

A.

**Step-by-step explanation:**

The weekly demand function for x units of a product sold by only one firm is

p = 800 − 0.5x dollars, and the average cost of production and sale is C(with a line on top) = 300 + 2x dollars.

(a) Find the quantity that will maximize profit.

(b) Find the selling price at this optimal quantity.

(c) What is the maximum profit?

**Answer:**

**a**) **x = 798 is the quantity that maximizes the profit**

**b)po(x) = 401 $/unit**

**c)P(max ) = 636105 $**

**Step-by-step explanation:**

**The weekly demand function is equal to the price by unit and the Revenue function is weekly demand times quantity of units then:**

**R(x) = p(x) * x**

**R(x) = ( 800 - 0,5*x ) * x**

**R(x) = 800*x - 0,5*x²**

**The equation for the profit is:**

**P(x) = R(x) - C(x)**

**P(x) = 800*x - 0,5*x² - ( 300 + 2*x)**

**P(x) = 798*x - 0,5*x² - 300**

**a) P(x) = 798*x - 0,5*x² - 300**

**Taking derivatives on both sides of the equation:**

**P´(x) = 798 - x **

**If P´(x) = 0 then 798 - x = 0**

**x = 798 is the quantity that maximizes the profit**

**b) Selling price for the optimal quantity is:**

**p(x) = 800 - 0,5*x**

**p(x) = 800 - 0,5* 798**

**po (x) = 800 - 399**

**po(x) = 401 $/unit**

**c) Pmax = ?**

**P(x) = 798*x - 0,5*x² - 300 by subtitution of x = 798**

**P(max) = 636804 - 399 - 300**

**P(max ) = 636105 $**

a) The **quantity that will maximize profit is **[tex]100 \ units[/tex]**.**

b) The **selling of at this optimal quantity is **[tex]\[/tex][tex]750[/tex]** per unit.**

c) So, **the maximum profit is **[tex]\[/tex][tex]25000[/tex]**.**

A demand function is a** mathematical equation** that **expresses** the **demand for a product or service** as a **function of its price** and other factors such as the **prices of the substitutes** and **complementary goods, income, etc.**

The given demand function,

[tex]P=800-\frac{1}{2}x[/tex]

So, the revenue function is,

[tex]R(x)=p.x\\R(x)=800-x-\frac{1}{2}x^{2}[/tex]

[tex]\Rightarrow[/tex]Average cost is

[tex]\bar{C}=300+2x[/tex]

So, the total cost function is,

[tex]C\left ( x \right )=\bar{C}.x \\ C\left ( x \right )=300x+2x^{2}[/tex]

a) Profit function:

[tex]P\left ( x \right )=R\left ( x \right )-C\left ( x \right ) \\ =800x-\frac{1}{2}x^{2}-300x-2x^{2} \\ P\left ( x \right )=500x-\frac{5}{2}x^{2}[/tex]

For maximum,

[tex]{P}'\left ( x \right )=0 \\ 500\left ( 1 \right )-\frac{5}{2}\left ( 2x \right )=0 \\ 500-5x=0 \\ x=100[/tex]

b) Selling Price:

[tex]P=800-\frac{1}{2}x \\ at \ x=100 \\ P=800-\frac{1}{2}\left ( 100 \right ) \\ =\$ 750[/tex]

c) Maximum Profit:

[tex]P\left ( x \right )=500x-\frac{5}{2}x^{2} \\ P\left ( 100 \right )=500\left ( 100 \right )-\frac{5}{2}\left ( 100 \right )^{2} \\ P\left ( 100 \right )=\$ 25000[/tex]

Learn more about of **Demand Function**: https://brainly.com/question/25938253

PLZ HELP !!

Max deposited $1,300 into an account that pays 4.5% interest, compounded daily. At end of six years he has a balance of ?

**Answer:**

The final balance is $1,692.94.

The total compound interest is $392.94.

**Step-by-step explanation:**

1,300 x 0.045=___ x 6

Which of the following is a true statement?

6/9 = 1/3

1/4 > 1/3

13/15 > 4/5

5/6 > 10/12

**Answer:**

13/15 > 4/5 is a true stament.

**Step-by-step explanation:**

The left side is 0.86 repeating turned into a decimal. which means 0.86 is greater than the right which the right is 0.8 turned into a decimal. which in this case this means that the given stament is always true.

How can you use a number line to find the sum of -8 and 9?

**Answer:**

The answer is 1

**Step-by-step explanation:**

If you look at the number line and start counting from -8 and count 9 to the right then the number that you end on is the answer.

A camera has a listed price of 873.95 before tax. If the sale taxes rate is 6.5, find the total cost of the camera with sales tax included. Round your answee to the nearest cent. As necessary.

**Answer:**

$930.76

**Step-by-step explanation:**

So if you move the decimal in the percentage over to the right by two then you have your sales tax rate in decimal form (0.065), you can then multiply that by the listed price and you'll have about 56.80675 so this number will be the sales tax price, then you may add this to the listed price and your answer will be 930.75675, then once you round up it will be $930.76.

PLEASE HELP! 6TH GRADE MATH please write done what number you're doing

**Answer:**

# 10 is 4/3 or 1 and 1/3

#11 is 4/10 or 2/5

#12 is 2 and 3/4

#13 is 36/12 or 3 and 1/12

**Step-by-step explanation:**

i am not 100% sure on #13 btw

hope this helped!

p.s it would be cool if you gave me brainliest.

**Answer:**

Hey your answers on there are correct.

**Step-by-step explanation:**

Find the equation of a line passing through the point (6,9) and (0,0)

**Answer:**

y=3/2x

**Step-by-step explanation:**

The **equation **of the required **line **as per **slope-intercept form **is 3x - 2y = 0.

The **equation of a line** that passes through **points **(x₁, y₁) and (x₂, y₂) is defined as:

m = (y₂ - y₁)/(x₂ - x₁)

Here, 'm' is the **slope **and 'c' is the** y-intercept** of the given line.

Therefore, the **slope of a line** that passes through (6, 9) and (0, 0) is

= (0 - 9)/(0 - 6)

= 3/2

Now, the general form of a **line **is y = mx + c. Here, 'm' is the **slope **and 'c' is the **y-intercept **of the **line**.

The **line **passes through the **point **(0, 0).

Therefore, 0 = (3/2) × 0 + c

⇒ c = 0

Now, the **equation of the straight line** is

y = (3/2)x + 0

⇒ 2y = 3x

⇒ 3x - 2y = 0

Learn more about **equation of a line** here: https://brainly.com/question/25283605

#SPJ3

Help Please! :(

108 students went on a field trip. Three buses were filled and 27 students traveled in cars. How many students were in each bus?

Please include algebraic equation and answer.

**Answer:**

81

**Step-by-step explanation:**

Which number has the same absolute value

as 8

**Answer:8**

**Step-by-step explanation:**

how many inches of lumber are remaining?

**Answer:**

I can't really answer this question because there is no picture of actual question but 1 foot = 12 inches so for instance we could do 6 inches + 3 inches = 9 inches.

**Step-by-step explanation: How we would solve this problem is simple.**

**6 + 3 = 9 if you have to turn this into a fraction it would be 9/12 = (3/4).**

400 reduced by twice my age is 68 how old am i

hope it helps.........

16B+3.5W = 22 Antoine bikes part of the way on a 22 mile trail and walks the rest of the way. If he spends B hours biking and W hours walking, the trip is modeled by the equation shown above. What is the meaning of the 16B in the equation?

**Answer:**

Antoine bikes for 16B miles before starting his walk.

**Step-by-step explanation:**

16 is that **speed **which is covered in B **hours **by bike by Antoine

**Speed **is defined as The **rate **of change of position of an object in any direction. **Speed **is measured as the ratio of **distance **to the time in which the **distance **was covered. Speed is a scalar quantity as it has only direction and **no magnitude**.

**Speed **= [tex]\frac{distance}{time}[/tex]

Given,

16B+3.5W = 22 an equation in which **B **is **time **covered by bike and **W **is **time **covered by **walk**

Antoine **travels **partially by bike and partially by walk, and **total covered **22

That means 16B is the **distance** covered by bike, and 16 is its **speed.**

Hence, 16 is that **speed **which is covered in B **hours **by bike.

Learn more about **speed:**

https://brainly.com/question/7359669

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Help pls it’s urgent

**Answer:**

d. -2

**Step-by-step explanation:**

they're telling you those lines are parallel there are specific knowns about the angles

since it's urgent I won't go into it, but PLS look it up it's super simple and makes sense

nonetheless this means angle 1 and angle 5 are the same value so we can set them equal

3x + 24 = 7x + 32

substract 32 from both sides

3x - 8 = 7x

substract 3x from both sides

-8 = 4x

divide 4 from both sides

-2 = x

There are approximately 330,000,000 cubic miles of water on Earth. A cubic mile is approximately 147,200,000,000 cubic feet. How much water is on Earth? Estimate using scientific notation

Answer: 4.8576 × 10^19 cubic feet of water.

Step-by-step explanation:

330m * 147.2b = 48 quintillion feet.

Answer:

5 x 10^19 ft^3

Step-by-step explanation:

64 mi/h to ft/s HELP HELP HELP HELP NOW!!!! WILL PUT 5 STARS AND MARK BRAINLIEST!!!

**Answer:**

Multiply 64 x 5280

**Step-by-step explanation:**

**Answer:**

64 mi/h = 93.9 ft/s I have the answer guide

Which expression is equivalent to |-5| + |-3|

**Answer:**

5+3

**Step-by-step explanation:**

5+3

**Answer:**

5+3=8

**Step-by-step explanation:**

I need help on math

what is the question ?

Never Going To Give You Up never going to let you down never gonna run around baby nor desert you Rick roll..

yeeeeeeeeeer eeee ee e e we. we e e we e e eeeee e e e e e e e e e e e

**Answer:**

we're no strangers to love

**Step-by-step explanation:**

you know the rules, and so do I

Two divers are swimming at different depths below sea level. One diver is at -25.5 ft. The other diver is at -40.75 ft. How far are the divers from each other?

**Answer:**

66.25 ft

**Step-by-step explanation:**

25.5 + 40.75

66.25

They are 66.25 feet away from each other.

Please let me know if I'm wrong!

What do you know about the slope of two parallel lines? *

They have the opposite sign of each other

They are reciprocals of each other

They have the same slope

They have negative reciprocal slopes

**Answer:**

same slope

**Step-by-step explanation:**

if it has the same slope then the you will know the two lines are parallel

hope this helps

brainliest?

A rectangle has a length of 2x+1 and a width of 3x-2.

Write an expression for the area of the rectangle.

**Answer:**

(2x+1)x(3x-2)

**Step-by-step explanation:**

area of rectangle = length * width

length = 2x+1

width = 3x-2

area = (2x+1) x (3x-2)

How much mixed spice will she need for 6 spice

**Answer:**

who

**Step-by-step explanation:**

A proposed change in income tax suggests charging 20% on a person's income up to $30,000 and then 40% on any

income above that. If a person has an income of $47,000, what will be their income tax under the proposal?

Give your answer in dollars to the nearest dollar. Do not include commas or the dollar symbol in your answer.

Provide your answer below

Answer:

If you get tax you should know the details of the what the tax is FOR

Step-by-step explanation:

Not enough details in question

**Answer:**

**Step-by-step explanation:**

Since the person earns over $30,000, they will be charged 20% on $30,000 plus 40% on ($47,000−$30,000)=$17,000. Hence the total amount of tax that they'd need to pay under the proposal is

Total Income Tax=$30,000×20%+$17,000×40%=$30,000×20100+$17,000×40100=$6,000+$6,800=$12,800.

1 5/16 divided by 7/12

2.25 this is the correct answer

7(10x+5-9x)=70

I rly need help on this

**Answer:**

x = 5

**Step-by-step explanation:**

1. Combine like terms

2. Multiply by 1

3. Distribute

4. Subtract 3

5 from both sides of the equation

5. Simplify

6. Divide both sides of the equation by the same term

7. Simplify

Answer: x=5

Step by Step Explanation:

7(10x+5-9x)=70 distributive property

70x+35-63x=70 subtract common terms

7x+35=70 subtract both sides by 35

7x=35 divide both sides by 7

x=5

Step by Step Explanation:

7(10x+5-9x)=70 distributive property

70x+35-63x=70 subtract common terms

7x+35=70 subtract both sides by 35

7x=35 divide both sides by 7

x=5

t> -5

can someone show step by step how to solve this equation?

**Answer: The equation cannot be simplified any further. **

**Explanation: The variable(t) is greater than any number than negative five.**

**Plz mark brainliest:)**

How can a transformed quadratic equation be used real life situation?

**Answer:**

Quadratic equations are actually used in everyday life, as when calculating areas, determining a product's profit or formulating the speed of an object. Quadratic equations refer to equations with at least one squared variable, with the most standard form being ax² + bx + c = 0.

**Step-by-step explanation:**

In what ways did laws discriminate against immigrants?
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Adams began to worry that members of his party were willing to use force to destroy who
someone please help! Ill give brainliest!!