Find the area of the shaded region.

y = ax + b

The coefficient of x is the slope of the line in this form of the linear equations.

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

The perpendicular line have negative and inverse slope which means the product of their slope must equals to - 1 .

Thus if we suppose that the line we want to find it's equation has a slope of m ; we have :

4 × m = - 1

Divide both sides by 4

4m ÷ 4 = - 1 ÷ 4

m = - 1/4

Thus we know the coefficient of x now :

y = - 1/4 x + b

======================================To find the value of b we need one of the point that the line passed through it which is the point ( 4 , - 11 ) .

All we have to is put the coordinates in the equation and find the value of b.

Let's gooo....

y = - 1/4 x + b

put the coordinates in the equation

- 11 = (- 1/4)×4 + b

- 11 = - 1 + b

Add both sides 1

- 11 + 1 = -1 + 1 + b

b = - 10

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

[tex]y = - \frac{1}{4} x + ( - 10) \\ [/tex]

[tex]y = - \frac{1}{4} x - 10 \\ [/tex]

Answer:

y = ax + b

Step-by-step explanation:

Answer:

-7.3n+8.4

Step-by-step explanation:

combine like terms

Hope this helps! Have a great day!!

Answer:

8.4 - 7.3n

Step-by-step explanation:

1. Rearrange

2.4 - 4.3n - 3n + 6 = 2.4 + 6 - 4.3n - 3n

2. Combine like terms

2.4 + 6 - 4.3n - 3n = 8.4 - 7.3n

The answer is 8.4 - 7.3n

Hope this helps :)

Have a great day!

Answer:

40

Step-by-step explanation:

Its pretty easy i did that on a test and got a 100

Answer:

5 more bottles

Step-by-step explanation:

23 x 25 will give us how many ounces Coach Reynolds have already.

23 x 25 is 575

700 - 575 will give us how many ounces he needs to buy.

700 - 575 is 125

125 divided by 25 will give us how many bottles he needs to buy
125 divided by 25 is 5

So 5 more bottles

Hope this helps! :)

Answer:

Step-by-step explanation:

[tex]LHS=cosec(x)-cosec(x)cos^{2} (x)\\\\LHS=cosec(x)-cosec(x)(1-sin^{2} (x))\\\\LHS=cosec(x)-cosec(x)+cosec(x)*sin^{2} (x)\\\\LHS=cosec(x)-cosec(x)+cosec(x)\frac{1}{cosec^{2}(x) } \\\\LHS=cosec(x)-cosec(x)+\frac{1}{cosec(x) }\\\\LHS=\frac{cosec^{2}(x)-cosec^{2}(x)+1 }{cosec(x)} \\\\LHS=\frac{1}{cosec(x)} \\\\LHS=sin(x)=RHS[/tex]

Hence,LHS=RHS proved

Answer:

  32%

Step-by-step explanation:

The percentage profit is the ratio of profit to original cost, expressed as a percentage. The profit is the difference between the selling price and the cost.

  profit = selling price - cost

  profit = $6600 -5000 = $1600

The ratio of that to cost is ...

  $1600/$5000 = 0.32

As a percentage, that is ...

  0.32 × 100% = 32%

The car dealer's profit was 32% of his cost.

Answer: there is a horizontal line on the bottom side to each point.

Step-by-step explanation: -5 x 8y, 1x 8y  so from each position they are on the bottom. negative on the right, positive on the left (x axis)

Answer:

7

Step-by-step explanation:

We can see that x is equal to 7 and that is we use the exponent of 2 it equals 49 if we divide this by 2 we get 24. 5 and add this by the left over 3.5 gives us 28 and divide this by 2 and we get 14. After this you always need to remember to divide your answer by 2 which gives us 7.

The interest is compounded in the investment and the fees, the 4 years

school fees is however larger than the future value of the investment.

Response:

First part:

The future value, FV, of the investment after 18 years is given as follows;

Where;

PV = The present value = $10,000

i = The interest rate = 8% = 0.08

n = The number of years = 18

Which gives;

[tex]FV = 10,000 \times (1 + 0.08)^{18} \approx \mathbf{39,960.195}[/tex]

The future value of the investment, FV = $39,960.195

The school fees each year is given as follows;

Fees = First year fees·(1 + r)ⁿ

Where;

First year fees = $12,000

r = Increase rate of the school fees = 11% = 0.11

n = The number of years

The school fees for four years is given as follows;

∑Fees = $12,000 + $12,000·(1 + 0.11) + $12,000·(1.011)² + $12,000·(1.011)³

Which gives;

∑Fees = 12,000 + 12,000·(1 + 0.11) + 12,000·(1 + 0.11)² +12,000·(1 + 0.11)³ = 56,516.772

The total tuition fees for four years = $56,516.772

The future value of the investment after 18 years, $39,960.195 is less

than the amount required as school fees for four years, therefore;

Second part:

The fees for 3 years of school is given as follows;

[tex]\displaystyle \sum \limits_{n = 1 }^3[/tex] = 12,000 + 12,000·(1 + 0.11) + 12,000·(1 + 0.11)² = 40,105.2 > 39,960.195

The fees for 2 years of school is given as follows;

[tex]\displaystyle \sum \limits_{n = 1 }^2[/tex] = 12,000 + 12,000·(1 + 0.11) = 25,320 < 39,960.195

The number of years of college the value of the investment will take care of is therefore;

Learn more about future value here:

https://brainly.com/question/14545379

Answer:

0.58cm

Step-by-step explanation:

l×b×h=volume

Given:

Voume=28cm^3

l=8cm

width or breadth=6cm

h=?

applying the above formula

l×b×h=28cm^3

6×8×h=28cm^3

h=28/48=0.58cm

The time at which the theatre does not have any customers is; Choice A: 11:00 PM

From the task content;

Hence, when C(x) = 0, the theater has no customers.

Divide through by x;

x = 11.

Read more on functions and variables;

https://brainly.com/question/24253401

The smallest number from the folowing option is A . 0.0082.

A number pattern is a pattern in a series of numbers that represents the common relationship between the numbers.

The given numbers are;

0.0082

1/3

0.048

0.36

1/9

thus, The smallest number from the folowing option is A . 0.0082.

Learn more about a number pattern:

brainly.com/question/14471389

#SPJ2

Answer:

The slope of the line is -3

Step-by-step explanation:

I chose the points (-2,3) and (0,-3)

The slope formula: m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\frac{-3-3}{0-(-2)}[/tex] ==> [tex]\frac{-3-3}{0+2}[/tex] ==> [tex]\frac{-6}{2}[/tex] = [tex]-3[/tex]

Our final answer is -3.

Hope that helps!

Answer:

6 r1

Step-by-step explanation:

Answer:

956= 9/56

125= 1/25

Step-by-step explanation:

Answer:

-6

Step-by-step explanation:

just keep the same slope and just pretend to move the line up 8 which would decrease the x value by 14 equaling -6

Answer:

120 Degrees

Step-by-step explanation:

Supplementary means angles that add up to 180 Degrees, so 180 - 60

Answer: x = 21/4

First, you want to Add 5 to both sides of the equation:

4x - 5 + 5 = 16 + 5.

Then you want to simplify:

4x = 21.

Divide both sides of the equation by the same term:

4x/4 = 21/4.

Then you want to simplify:

x = 21/4.

The final solution is:

x = 21/4

Exact Form:

x = 21/4

Decimal Form:

x = 5.25

Mixed Number Form:

x = 5 1/4

Step-by-step explanation:

Hope this helps =)

Answer: 16 2/8

21 13/16+5 3/32=?

13/16 3/32 32 divided by 16 = 2 so you need to simplified 32/16 and 3/32= 16 so both 13/16 + 32/16= 48/16 then you need to simplified again to make it even and it will be 3 so you add the three with the wholes it will make 16 so know we simplified and divide the fraction 48/16  so once you divide it equals 8 because 8x2=16 and 8x6=48 so it will be 2/8 so the answer is 16 and 2/8

pls rate this and give brainiest

have a nice day : )

Answer:

[tex]13 \frac{333}{1000}[/tex]

Step-by-step explanation:

The amount of numbers after the decimal point tell you the amount of zeros to put after the 1 in the denominator.

Just rewrite the whole number infront of the decimal point into the fraction

Answer:

[tex]\frac{2}{15}[/tex]

Step-by-step explanation:

[tex]13.333...\%=\frac{13.333...}{100}=\frac{10+3.333...}{100}=\frac{10}{100}+\frac{3.333...}{100}[/tex]

[tex]=\frac{1}{10}+\frac{\frac{10}{3}}{100}=\frac{1}{10}+\frac{1}{30}=\frac{4}{30}=\frac{2}{15}[/tex]

Answer:

31.4 cm

Step-by-step explanation:

[tex]C=2\pi r[/tex]

[tex]=2*\pi *5[/tex]

[tex]\neq 31.41593[/tex]

≈ 31.4

Answer:

8 square meters

Step-by-step explanation:

Area of the trapezoid is (1/2)(3)(2+4)=9

Area of the trapezoid is (1)(1)=1

So the area she needs to paint is 9 - 1 = 8

Using the expected value of a discrete distribution, it is found that X = 0.0673.

The expected value of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability.

In this problem, we have that the distribution is:

P(X = -17) = 1 - X.

P(X = 325) = X/3.

P(X = 276) = X/3.

P(X = 106) = X/3.

Hence, since the expected value is 0:

[tex]-17(1 - X) + 325\frac{X}{3} + 276\frac{X}{3} + 106\frac{X}{3} = 0[/tex]

[tex]-17 + 17X + 235.67X = 0[/tex]

[tex]252.67X = 17[/tex]

[tex]X = \frac{17}{252.67}[/tex]

[tex]X = 0.0673[/tex]

More can be learned about the expected value of a discrete distribution at https://brainly.com/question/24855677

Answer:

Hi, you already asked this question, the answer is 6...

Step-by-step explanation:

Answer:

x = -4

Step-by-step explanation:

Divide both sides of the equation by the same term

24=-6x

Divide the numbers

Cancel terms that are in both the numerator and denominator

Move the variable to the left

HOPE IT HELPS, BE SAFE :3

Answer:

6x2-x-12

Step-by-step explanation:

The given expression:

(

2

x

−

3

)

(

3

x

+

4

)

Simplify by using the FOIL method:

(

2

x

−

3

)

(

3

x

+

4

)

=

2

x

⋅

3

x

+

2

x

⋅

4

−

3

⋅

3

x

−

3

⋅

4

=

6

x

2

−

x

−

12

Therefore, the simplest form of the given expression is

6

x

2

−

x

−

12

.

Answer:

there are total 60 bracelets and 40 necklaces.

Explanation:

let necklaces be x

let bracelets be y

make two equations from the given values:

solving steps:

x + y → 100

x → 100 - y

using substitution method:

5.75y + 8.5x → 685

5.75y + 8.5(100 - y) → 685

5.75y - 8.5y + 850 → 685

-2.75y → 685 - 850

-2.75y → -165

y → 60

Find x:

x + y → 100

x → 100 - 60

x → 40

Answer:

60 bracelets

40 necklaces

Step-by-step explanation:

Let n = number of necklaces sold

Let b = number of bracelets sold

Given:

⇒ n + b = 100

Given:

⇒ 5.75b + 8.5n = 685

Rewrite n + b = 100 to make b the subject, substitute into 5.75b + 8.5n = 685 and solve for n:

⇒ b = 100 - n

⇒ 5.75(100 - n) + 8.5n = 685

⇒ 575 - 5.75n + 8.5n = 685

⇒ 575 + 2.75n = 685

⇒ 2.75n = 110

⇒ n = 40

Substitute found value for n into n + b = 100 and solve for b:

⇒ 40 + b = 100

⇒ b = 60