A line passes through the point (4,-7) and has a slope of -6 write an equation in slope intercept form for this line

Given,

The function is:

Taking x = -x then,

The function is odd.

Part a: Kelsey should make 36 pendants

Part b: Kelsey needs to make 26 more pendants

Rent of the booth at the craft fair = $200

The material cost of each pendant = is $7.80

The selling cost of each pendant = is $13.50

Let Kelsey make x number of pendants

Formulating the inequality equation we get:

Selling cost of each pendant*Number of pendants >= Rent of the booth + Material cost of each pendant*Number of pendants

= 13.50x >= 200 + 7.80x

Solving the inequality we get:

13.50x >=200+7.80x

5.70x >= 200

x >= 35.08

So, she should make a total of 36 pendants

Considering that she has already made 10 pendants. She needs 26 more pendants.

Although a part of your question is missing, you might refer to this full question: Kelsey makes pendants that she would like to sell at an upcoming craft fair. She must pay $200 to rent a booth at the craft fair. The materials for each pendant cost $7.80, and she plans to sell each pendant for $13.50. To make a profit, she must make more money than she spends. Kelsey has already made 10 pendants. Part A: Write and solve an inequality to show how many pendants Kelsey should make. Show the steps of your solutions. Part B: Given that Kelsey has already made 10 pendants, how many additional pendants must she make and sell to make a profit?

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The balance in the account after years of compound interest arrangement can be represented by the equation; Balance = 1,000 (1.03)^n.

It follows from the task content that the equation which represents the balance in the account after years is required to be determined.

It follows that the principal amount is; $1,000 while the interest rate is; 3%.

This indicates that after each year, the new balance is 103% of the preceding balance.

Hence, the exponential equation which correctly represents the balance at any point in time is;

Balance = 1,000 (1.03)^n.

Where n = number of years after.

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Consider the phase space that consists of elements of the form (boy, boy, boy, boy), (girl, boy, boy, boy),...,(girl, girl, girl, girl).

There is a total of 2*2*2*2=2^4=16 possible combinations and each of them has the same probability to happen. Only one element is the case we are interested in (girl, girl, girl, girl).

Therefore, the probability of a family having 4 girls is

The answer is false, the probability is 0.0625

The values are -3 and -26

What is Multiplication?

A product is an expression that identifies the object to be multiplied, called the result of a multiplication, or coefficient. For example, 30 is the product of 6 and 5, and x\cdot is the product of x.

We have to find the number which is multiply to give the upper value and sum up to give the bottom value

So, the value of these numbers will be

-3 x -23 = 69

-3 + (-23) = -26

Hence the values are -3 and -23

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Work Shown:

x = total number of coins

2% of x = 0.02x = 9 coins in the box

0.02x = 9

x = 9/0.02

x = 450 coins total

we are given the following polynomial:

we are asked to use synthetic division by:

first we need to find the root of "x + 2":

Now we do the synthetic division using the following array:

Now we lower the first coefficient and multiply it by -2 and add that to the second coefficient:

Now we repeat the previous step. We multiply -7 by -2 and add that to the next coefficient:

Now we repeat the previous step. we multiply 12 by -2 and add that to the next coefficient:

The last number we got is the residue of the division, in this case, it is 0. Now we rewrite the polynomial but we subtract 1 to the order of the polynomial:

We need to find a situation that can be represented by the inequality below:

This means that there must be a variable for which each unit has a value of 1.25. There must be a fixed cost of 6.5, because we are subtracting that value and the end goal must be to have more than 50.

The only option for which this applies is the option D.

Caleb spent a fixed amount of 6.5, he earns 1.25 for each lemonade he sells and he wants to have a profit of more than 50.

Solution

Complete the vertical algorithm to evaluate the product:

Therefore the product of the expression is

The correct answer to this question is that m is the dependent variable and h is the independent variable.

The amount of money Trevor earns can be formulated in the form of linear equation. A Linear equation is the one which can be expressed in the form of y = ax + b where y is dependent, and x is independent variable whereas a, b are coefficients. According to question amount of money Trevor earns will depend on the number of houses he paints. If m is the amount of money Trevor earns and h is the number of houses Trevor paints. This can be formulated as

m = hx + b and in this expression, m is dependent variable and h is independent variable as his earning will depend on the number of houses he paints.

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Answer:

6.75

Step-by-step explanation:

6.75x4 = 27 so if this is what was meant by this then heres your answer

hope this helped

have a good day ^^

The number sand bags required are 84 approximately.

Given, we have:

Diameter of garden = 38 yd

Width of path = 5 yd

Diameter of garden with path = 38 + 2 x 5 = 48 yd

We need to find area of path.

Area of path = Area of garden with path - area of garden

Area of path = π × 48²/4 - π × 38²/4

Area of path = 7234.56/4 - 4534.16/4

Area of path = 1808.64 - 1133.54

Area of path = 675.1 yd²

Area covered by one sand bag = 8 yd²

Number of sand bags required =  Area of path/Area covered by one sand bag

=675.1/8

= 84.38 ≈ 84

Number of sand bags needed = 84

Therefore, number of sand bags required are 84.

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Answer:

Step-by-step explanation:

-2f

we have that

The value of  [tex](\frac{1}{2} )^{\frac{1}{2} }[/tex] is 0.707.

1÷2 = 0.5

Given, [tex](\frac{1}{2} )^{\frac{1}{2} }[/tex]

Could be written like, [tex](0.5)^{0.5}[/tex] or √(1 ÷ 2) or √(0.5)

So the value of √(0.5) is 0.707.

Another way is to factorize each integer as the product of its primes using the square root prime factorization method. Follow these methods to find the square root of a certain number using prime factorization:

Step 1: Divide the supplied integer by its decimal equivalent.

Step 2: If the connected components are identical, a pair is generated.

Step 3: Choose one of the pair members for her.

Step 4: Multiply the prime numbers you got by picking one from each pair.

Step 5: This product is the square root of the specified number.

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The given sets are

That means A is all real numbers from 2 to negative infinity, and B is all real numbers between 7 and positive infinity

Then we can find the union and intersection

I will draw a sketch to show you the intersection

We can see that there is NO intersection between A and B, then

ANSWER

36°

EXPLANATION

Let a and b be the measures of the two angles. We know that they are complementary, so their measures add up to 90°. Also, we know that the quotient between their measures is 2/3,

Solve the second equation for a,

Replace a with this expression in the first equation,

Add like terms,

Solving for b,

So the other angle is,

Hence, the measure of the smaller angle is 36°.

8 - 5(3 + 2x)

open the parenthesis

8 - 15 - 10x

-7 -10x

Answer:

it's wh question I think

To find the area of the running track that goes around the field, we need to follow the formula:

area of running track = outside area - inside area

1. Outside Area:

outside area = area of rectangle + 2× area of the semi- circle

= 92.52× 84.39 + π × 46.26² = 14527.32m²

2. Inside Area:

inside area = area of rectangle + 2× area of the semi- circle

= 73 × 84.39 + π × 36.5² = 10343.74m²

So, area of running track = 14527.32 m² - 10343.74m² = 4183.58m² ≈ 4184m²

Answer:

d = 3

Step-by-step explanation:

I took different numbers, like 1 and 2, and multiplied them to themselves 3 times, for example, 2 x 2 x 2, but since that answer was wrong, I decided to try a different number, which was 3 and that was correct.

Answer: It would be Answer D

Step-by-step explanation: He Subtracted from both sides in an incorrect order

Answer:

See below for the completed table

Explanation:

A percentage is a number or ratio written as a fraction of 100. It is usually denoted using the symbol %.

To convert from percentage to fraction, divide the percentage by 100.

You can then convert the fraction to a decimal where:

Using the method described above, we calculate for the other values on the table:

The completed table is attached below.

The ratio table can be used to find the amount earned and the number of hours worked based on the ratio of the values as follows;

a. A person that works for 8 hours earns $72

b. A person that earns $270 worked for 30 hours

c. The ratio is 9 : 1

d. The earnings of a person that works for 24 hours is $216

A ratio table is one that shows the constant relationship between the value pairs on the table.

The given ratio table is presented as follows;

Hours Worked; 4, 12, 16, ?

Money Earned; 36, 108, 144,

Required;

a. The amount a person will earn if he or she works for 8 hours

Solution;

Let x represent the hours worked, and let y represent the money earned

y = k•x

Therefore;

k = y/x

From the ratio table, we have;

k = 36/4 = 108/12 = 144/16 = 9

k = 9

y = 9•x

The amount earned, y for working 8 hours, x is therefore;

y = 9 × 8 = 72

The amount earned for working 8 hours is $72

b. The number of hours worked if a person earns $270

If a person earned $270, we have;

270 = 9 × x

x = 270/9 = 30

The number of hours worked if a person earned $270 is 30 hours

c. The ratio associated with the table in the simplest form is 36 : 4 = 9 : 1

d. The amount earned if a person worked 24 hours

Solution;

y = 9•x

Which gives;

y = 9 × 24 = 216

The amount earned if a person worked 24 hours is $216

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[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ L(\stackrel{x_1}{1}~,~\stackrel{y_1}{-8})\qquad C(\stackrel{x_2}{9}~,~\stackrel{y_2}{-3})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ LC=\sqrt{(~~9 - 1~~)^2 + (~~-3 - (-8)~~)^2} \implies LC=\sqrt{(9 -1)^2 + (-3 +8)^2} \\\\\\ LC=\sqrt{( 8 )^2 + ( 5 )^2} \implies LC=\sqrt{ 64 + 25 } \implies LC=\sqrt{ 89 }\implies LC\approx 9.43[/tex]

Given,

A population doubles every 27 years.

a. Let initial population be 1 and after 27 years it becomes 2.

Considering r as the rate of annuall growth we have,

Thus annual growth rate is 2.6%

b. For continuous growth,

The continuous growth rate is _2.5___% per year

Consider that the Bob's Golf Palace bought the set of golf clubs by $390.

Moreover, take into account that the golf clubs were markes on sale for $840.

The profit is only the difference between the marked on sale and the money Bob's Golf Palace payed:

$840 - $390 = $450

Hence, the profit was $450

Given:

Required:

To find the distance from point B to line AC.

Explanation:

The point B touches the line AC at P.

And it is perpendicular.

The length of BP is 4.3.

Therefore, the distance from point B to line AC is 4.3.

Final Answer:

The distance from point B to line AC is 4.3.

we know that

The reciprocal of a number is: 1 divided by the number

If you multiply a number by the reciprocal, the result is 1

so

we have

5/7

so

the reciprocal is 7/5

Verify

(5/7)(7/5)=1 -----> is ok