Which equation represents a line that passes through (–9, –3) and has a slope of –6?

Answers

Answer 1
[tex]\bf \begin{array}{lllll} &x_1&y_1\\ % (a,b) &({{ -9}}\quad ,&{{ -3}}) \end{array} \\\\\\ % slope = m slope = {{ m}}= \cfrac{rise}{run} \implies -6 \\\\\\ % point-slope intercept \stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-(-3)=-6[x-(-9)] \\\\\\ y+3=-6(x+9)\implies y+3=-6x-54\implies y=-6x-57[/tex]

Related Questions

A survey asked a group of students to choose their favorite type of sport from the choices of soccer, softball, basketball, and others. The results of the survey are shown in the graph. Based on the graph, how many more students in a class of 126 students would be expected to choose soccer than softball?

Answers

You need to put the graph up so if any on can help you
24
Because each mark is 6 so soccer 4 more mark than softball.
I got 6 by divided 126 by 21.

what is the factored form of 64g^3+8?

Answers

64 = 4 x 4 x 4 g^3 = g x g x g the problem is the sum of of 2 cubes 8 = 2 x 2 x 2 so the factored form is - a3+b3=(a+b)(a2−ab+b2).

Answer: For those in the future!

The answer to this is D: (4g+2)(16g^2minus8g+4)

Step-by-step explanation:

Ratio of forks to knives in Mabel's kitchen is 4:5. There are 16 forks in a drawer how many knives are they

Answers

there are 20 knives in the drawer your welcome :)

In a coin flip experiment, david decides to flip a coin 50 times. he wants to record the number of times "tails" comes up. using the language of probability, in this experiment, each coin flip is a ________, the way the coin lands is the ________. when the coin comes up "tails", this is considered a ________.

Answers

IM SORRY I CANT HELP YOU ONE THIS ONE SORRY I HOPE THIS HELPS :)

The first advertisement discussed in class states that the salespeople make an average of $1,000 per week. Suppose there are nine salespeople. What would the ninth person need to earn for the mean to be $1,000 if the other eight salespeople earned $550, $600, $600, $800, $950, $950, $1,000, and $1,100?

Answers

all numbers added equal 6550
(6550+x)/9=1000
6550+x=9000
x=2450

WILL MARK BRAINLIEST FOR THE BEST ANSWER!!!!!!!!!!!!

Find all complex solutions (real and non-real)
x^4+2x³+22x²+50x-75=0

Answers

Hi again!

I just want to answer all your questions :) They are so difficult.

We need to solve the rational equation by combining expressions and isolating the variable x.

So, the answer is

x = 5i, -5i, 1, -3

I really hope this helps!

Can someone help me with this? I got 0.000104 but it wasn’t right.

Answers

Answer:

0.0001042

Step-by-step explanation:

You need to keep all the digits (unless you're told to round your answer).

A rectangular storage container with an open top is to have a volume of 10 m3. the length of this base is twice the width. material for the base costs $10 per square meter. material for the sides costs $6 per square meter. find the cost of materials for the cheapest such container. (round your answer to the nearest cent.)

Answers

Refer to the diagram shown below.

The volume of the container is 10 m³, therefore
x*2x*h = 10
2x²h = 10
h = 5/x²        (1)

The base area is 2x² m².
The cost is $10 per m², therefore the cost of the base is
(2x²)*($10) = 20x²

The area of the sides is
2hx + 2(2xh) = 6hx = 6x*(5/x²) = 30/x m²
The cost is $6 per m², therefore the cost of the sides is
(30/x)*($6) = 180/x

The total cost is
C = 20x² + 180/x

The minimum cost is determined by C' = 0.
That is,
40x - 180/x² = 0
x³ = 180/40 = 4.5
x = 1.651
The second derivative of C is
C'' = 40 + 360/x³
C''(1.651) = 120 >0, so x = 1.651 m yields the minimum cost.

The total cost is
C = 20(1.651)² + 180/1.651 = $163.54

Answer: $163.54

Find the product. In the form of a paragraph, explain in complete sentences the steps necessary to simplify the expression and include the final answer in your explanation. Complete your work in the space provided or upload a file that can display math symbols if your work requires it.

( x y 2 z)3 (-9x 2 y z)2

Answers

Final answer:

The product of (x y^2 z)^3 and (-9x^2 y z)^2 is found by applying the exponent to each variable inside the parentheses and then multiplying the results together, using exponent rules to simplify. The final simplified expression is 81x^7 y^8 z^5.

Explanation:

To find the product of the expressions (x y^2 z)^3 and (-9x^2 y z)^2, we use the properties of exponents. First, we apply the power to each factor inside the parentheses, which means raising each base to the power outside, and then we multiply the corresponding exponents when the same base is found in both terms.

For the first expression (x y^2 z)^3, we get x^3 y^6 z^3, and for the second expression (-9x^2 y z)^2, we have 81x^4 y^2 z^2 after squaring -9 to get 81 and applying the exponent 2 to each variable.

Next, we multiply these results together: x^3 y^6 z^3 × 81x^4 y^2 z^2 = 81x^{3+4} y^{6+2} z^{3+2}, which simplifies to 81x^7 y^8 z^5. The rule of exponent addition when multiplying like bases, x^p x^q = x^{(p+q)}, is applied here to combine the variables with the same base. Our final simplified product is 81x^7 y^8 z^5.

The final answer is [tex]81 x^7 y^8 z^5.[/tex]

To find the product of the expression [tex](x y^2 z)^3 * (-9x^2 y z)^2[/tex], we can follow these steps:

1. Expand the first expression: [tex](x y^2 z)^3 = x^3 (y^2)^3 z^3 = x^3 y^6 z^3.\\[/tex]
2. Expand the second expression: [tex](-9x^2 y z)^2 = (-9)^2 (x^2)^2 y^2 z^2 = 81 x^4 y^2 z^2.[/tex]

3. Multiply the expanded expressions: [tex](x^3 y^6 z^3) * (81 x^4 y^2 z^2) = 81 x^3 x^4 y^6 y^2 z^3 z^2 = 81 x^7 y^8 z^5.[/tex]

Therefore, the final answer is [tex]81 x^7 y^8 z^5[/tex].

The graph below indicates the distance that the cat (red line) and mouse (green line) have run as a function of the time since the chase began. How far did the mouse run before the cat caught it ?

a. 1 foot c. 22 feet
b. 11 feet d. 6 feet

Answers

The mouse ran a distance of 11 feets before being caught by the cat

How to use the graph for our solution

Using the information on the graph ;

Y - axis = Distance covered by the mouse and cat

X - axis = Time taken to cover Distance

The intersection point of the two lines is the point at which the mouse was caught .

Tracing the point to the y-axis , we get the required Distance value

Hence, from the graph, the distance is 11 feets

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Before being caught by the cat, the mouse sprinted 11 feet.

How can we apply the graph to our solution?

Using the data from the graph;

The distance traveled by the mouse and cat is represented by the Y axis.

X axis = Distance traveled in time

The spot where the two lines connect is where the mouse was trapped.

We get the requisite Distance value by tracing the point to the y-axis.

As a result of the graph, the distance is 11 feet.

Which number is one million times larger than 8.7 x 104 ? A) 8.7 x 107 B) 8.7 x 108 C) 8.7 x 109 D) 8.7 x 1010

Answers

Assuming the numbers after 10 are exponents:

1 million is equal to 10^6. Let's multiply this by the original expression.
8.7*10^4*10^6

Add exponents when multiplying with the same base
10^4*10^6= 10^10

Final answer: 8.7*10^10, or D

Answer:

D) [tex]8.7 * 10^{10}[/tex]

Step-by-step explanation:

The question is correctly written as below:

Which number is one million times larger than [tex]8.7 * 10^{4}[/tex]?

A) [tex]8.7 * 10^{7}[/tex]

B) [tex]8.7 * 10^{8}[/tex]

C) [tex]8.7 * 10^{9}[/tex]

D) [tex]8.7 * 10^{10}[/tex]

Consider [tex]8.7 x 10^{4}[/tex] to be number A and number B is one million times ([tex]10^{6}[/tex]) greater than number A

[tex]B = A * 10^{6}[/tex]

[tex]B = 8.7 * 10^{4} * 10^{6}[/tex]

[tex]B = 8.7 * 10^{4+6}[/tex]

[tex]B = 8.7 * 10^{10}[/tex]

D) [tex]8.7 * 10^{10}[/tex]

How can you check the answer to a decimal multiplication problem

Answers

The same way you would if there was no decimal
 1.Multiply normally, ignoring the decimal points.
2.Then put the decimal point in the answer - it will have as many decimal places as the two original numbers combined.

Which of the following gives all of the sets that contain -1/2?
the set of all rational numbers and the set of all real numbers

the set of all natural numbers and the set of all irrational numbers

the set of all integers and the set of rational numbers

the set of all natural numbers, the set of rational numbers, and the set of all real numbers

Answers

ANSWER


The set of all rational numbers and the set of all real numbers.


EXPLANATION

The set of rational numbers contains all numbers that can be written in the form,


[tex] \frac{a}{b} [/tex]


where a and b are integers and b≠0.


The given number is

[tex] - \frac{1}{2} [/tex]


It belongs to the set of rational numbers.


The set of rational numbers is a subset of the set of real numbers.

Hence

[tex] - \frac{1}{2} [/tex]
also belongs to the set of real numbers.


The correct answer is A.

Answer:

the answer is a

Step-by-step explanation:

did it on edg 2021

Find the inverse of the function. f(x) = 7x - 1

Answers

To find the inverse swap the x and y values....

f ( x) = 7x - 1 


Start by replacing f(x) by ... y 

y = 7x - 1

Now swap both x and y values....

x = 7y - 1

Solve for x...

x = 7y - 1
+1      +1

x+ 1 = 7 y

Divide both sides by 7

x/ 7 + 1/7 = y 

Now that we have our inverse you using the f(x) inverse notation..
which is ... f(x) ^-1 

So the inverse of this function is...  f(x)^-1 = x/7 + 1/7

The inverse of the function f(x) = 7x - 1 is [tex]f^{-1}(x) = \frac{x}{7} + \frac{1}{7}[/tex]

The given function is:

f(x)  =  7x  -  1

Make x the subject of the formula

[tex]f(x) = 7x - 1\\\\7x = f(x) + 1\\\\[/tex]

Divide through by 7

[tex]\frac{7x}{7}= \frac{f(x)}{7} + \frac{1}{7}\\\\x = \frac{f(x)}{7} + \frac{1}{7}[/tex]

Replace x by [tex]f^{-1}(x)[/tex] and replace f(x) by x:

[tex]f^{-1}(x) = \frac{x}{7} + \frac{1}{7}[/tex]

Therefore the inverse of the function f(x) = 7x - 1 is [tex]f^{-1}(x) = \frac{x}{7} + \frac{1}{7}[/tex]

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10z when z = 0.8

answers

Answers

All you need to do is plug in 0.8 for z.
10 * 0.8
A cool trick when multiplying by ten is you can move the decimal point over 1 to the right. So, 0.8 would become 08.0, aka 8.
So, your answer to 10z would be 8. 
Hope this helps. :D

If the given function is F(x) = 10z. When z = 0.8, the value of the function is 8.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

It is given that, the given function is F(x) = 10z.

In the given function z is the independent variable while the value of the function is a dependent variable because its value depends upon the value of z.

The variable is reliant on other measurable factors. As a result of manipulating the independent variable(s) in an experiment, these variables are anticipated to change.

The value of the function is obtained by putting the value of z in the given function,

F(x) = 10z

F(x) = 10×0.8

F(x) = 8

Thus, if the given function is F(x) = 10z. When z = 0.8, the value of the function is 8.

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Which is the completely factored form of 12x3 – 60x2 + 4x – 20?

Answers

completely factored it is (12x^2 + 4)(x-5)
= 4(3x^3 - 15x^2 + x - 5)

 product of first coefficient and -5 is -15  so  one factor could be x +/ 3) or x +/- 5)

using the factor theorem   f(5) =  375 - 375=5-5 = 0  so (x - 5) is a factor:-

so we have  4(x - 5)(3x^2 + 1)   Answer

The difference between 4 and the product 6x is 40

Answers

This would be written as 4-6x=40, then you subtract 4 from both sides to get -6x=36 which simplifies to x=-6.

:)

you want to buy a CD that cost $18.50. The sales-tax rate in your states is 4.5 percent. How much sales tax will you pay for this CD?

Answers

4.5% = 0.045

 multiply 18.50 by 0.045 foe the amount of sales tax

18.50 * 0.045 = 0.83

 they pay 0.83, which is 83 cents in sales tax


Is 250% of 44 less than 100, greater than 100 but less than 150, or greater than 150? Explain reasoning

Answers

It would be greater than 100 and 150. 250% of 44 is negative because 100% of 44 is 0.

50% of 44 is greater than 100 but less than 150 because the value of 250% of 44 is 110 after applying the concept of the percentage.

What is the percentage?

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

It is given that:

250% of 44

Let x be the 250% of 44:

The value of x can be found as follows:

x = (250/100)44

x = 2.5(44)

x = 110

110 > 100

110 < 150

Or

100 < 110 < 150

Thus, 50% of 44 is greater than 100 but less than 150 because the value of 250% of 44 is 110 after applying the concept of the percentage.

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something that relates inputs to outputs

Answers

Something that relates inputs to outputs is a function.

A function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output.

You have just received an inheritance of $28,000 and would like to invest it into an account. The bank offers two investment plans, one for 4 years at 5.8% compounded annually and another for 3 years at 7.083% compounded annually. You want to make equal annual withdrawals from the account over the life time of the loan. Which investment will yield the highest return over the duration of the loan, given that the account will be zeroed out by the end of that period?
a.
3 year account; $32,056.89
c.
3 year account; $24,130.77
b.
4 year account; $42,742.52
d.
4 year account; $32,174.36

Answers

First we need to calculate annual withdrawal of each investment
The formula of the present value of an annuity ordinary is
Pv=pmt [(1-(1+r)^(-n))÷(r)]
Pv present value 28000
PMT annual withdrawal. ?
R interest rate
N time in years
Solve the formula for PMT
PMT=pv÷[(1-(1+r)^(-n))÷(r)]

Now solve for the first investment
PMT=28,000÷((1−(1+0.058)^(−4))
÷(0.058))=8,043.59
The return of this investment is
8,043.59×4years=32,174.36

Solve for the second investment
PMT=28,000÷((1−(1+0.07083)^(
−3))÷(0.07083))=10,685.63
The return of this investment is
10,685.63×3years=32,056.89

So from the return of the first investment and the second investment as you can see the first offer is the yield the highest return with the amount of 32,174.36

Answer d

Hope it helps!

Answer:

D

Step-by-step explanation:

edge

estimate the difference between 206 and 167

Answers

206 - 167 estimation is 38
correct answer is 39

Explain the solution to |4w + 9| = –7.

Answers

Actually, Abby, this problem has NO SOLUTION.  WHY?  because no absolute value is ever less than zero (0).


what is the unit rate of y=-2x

Answers

The answer to this is x  =  - y / 2

There are currently 21 frogs in a (large) pond. The frog population grows exponentially, tripling every 7 days. How long will it take (in days) for there to be 150 frogs in the pond?

Answers

Let x =  number of days

The initial number of frogs  = 21.
The number of frogs triples every 7 days.
The exponential function that models the number of frogs with respect to the number of days is
[tex]y = 21(3^{x/7} )[/tex]

When the population is 150, then
[tex]21(3^{x/7}) = 150 \\\\ 3^{x/7} = 150/21 \\\\ \frac{x}{7} ln(3) = ln(150/7) \\\\ x = 7( \frac{ln(150/21)}{ln(3)} ) = 12.527 [/tex]
A graph of y versus confirms the answer.

Answer:  12.5 days

Final answer:

It will take approximately 50 days for the frog population to reach 150 frogs.

Explanation:

To find out how long it will take for the frog population to reach 150, we need to determine how many times the population needs to triple to reach that number. We start with 21 frogs and want to reach 150, so we need to triple the population 150 divided by 21, which is approximately 7.14, times. Since the population triples every 7 days, it will take approximately 7.14 times 7, or 50 days, for the population to reach 150 frogs.

Find the volume v of the described solid s. a pyramid with height 2h and rectangular base with dimensions 4b and 8b

Answers

Final answer:

The volume of a pyramid with a rectangular base and height of 2h is given by the formula V = (1/3) * Base area * Height. The base area for this pyramid is 32b² (derived from 4b * 8b), and the height is 2h. Hence, the volume equates to 64/3 b²h.

Explanation:

The volume of a pyramid is calculated with the formula V = (1/3) * Base area * Height. For the pyramid in question, the base is a rectangle with a length of 4b and a width of 8b, so the area of the base (A) is 4b * 8b = 32b². The height of the pyramid is given as 2h. So, by plugging these values into the formula, we obtain the volume of the pyramid as V = (1/3) * 32b² * 2h = 64/3 b²h.

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2.6x10^-6 write the folliwing number in standard form (decimal)

Answers

the answer in standard form is 0.0000026

Final answer:

To express 2.6x10^-6 in standard decimal form, the decimal point is moved 6 places to the left, giving us 0.0000026.

Explanation:

To write 2.6x10^-6 in standard decimal form, start by understanding the exponent. The notation 10^-6 means that we are moving the decimal point 6 places to the left because it is a negative exponent. Therefore, we start with 2.6 and move the decimal point to the left 6 places, which means we have to add zeros to fill in the gaps.

The final expression in standard form will be 0.0000026.

√7, 2, √8/2
order the number from least to greatest

Answers

To get a feel for where those two radicals fall on the number line, take a look at the perfect square roots they fall between. Both sqrt(7) and sqrt(8) fall between the perfect square roots sqrt(4) and sqrt(9); since sqrt(4) = 2 and sqrt(9) = 3, we know that sqrt(7) and sqrt(8) are somewhere in between 2 and 3. This means we know that sqrt(7) > 2. What about sqrt(8)/2 though? Well, sqrt(4)/2 = 2/2 = 1, and sqrt(9)/2 = 3/2 = 1 1/2, so sqrt(8)/2 has to be between 1 and 1 1/2, both of which are less than 2. Putting those all in order:

sqrt(8)/2, 2, sqrt(7)
Final answer:

To order the numbers √7, 2, √8/2 from least to greatest, simplify √8/2 to √2. Then compare √2, 2, and √7 to find the order.

Explanation:

To order the numbers √7, 2, √8/2 from least to greatest, first simplify √8/2. We know that √8 = √(4*2) = 2√2, so √8/2 = (2√2)/2 = √2. Now we have √7, 2, and √2. Comparing these numbers, √2 < 2 < √7.

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i do not get this


Rachel and her friends are making necklaces out of beads and straws. They plan to use 12 beads and 5 straws for each necklace. They have a jar of beads that contains a total of 2,700 beads. How many necklaces can they make?
Write an equation to solve the problem.

Answers

12x = 2,700
---- ---------
12 12

x = 225

They can make a total of 225 necklaces

Jay purchased tickets for a concert over the internet. To place an order, a handling charge of 5$ per ticket is charged. GST of 5% was also charged on ticket price and handling charges. If the total charge for 2 tickets is 201.16, what is the price per ticket.

Answer is 90.79 but I need an explanation on how they got that answer thanks

Answers

The price per ticket (before any additional charges) is approximately $90.79. Let's assume the price of each ticket before any additional charges (handling charge and GST) is "x" dollars.

Given that a handling charge of $5 is charged per ticket, the total handling charge for 2 tickets will be $5 * 2 = $10.

Now, let's calculate the total cost of the tickets after adding the handling charge:

Total cost of tickets (before GST) = 2x + 10

Now, the GST of 5% is charged on the ticket price and handling charges. The GST amount can be calculated as:

GST amount = 5% of (2x + 10) = 0.05 * (2x + 10) = 0.1x + 0.5

The total charge for 2 tickets, including the handling charge and GST, is given as $201.16. So, we can set up the equation:

Total cost of tickets (including GST) = Total cost of tickets (before GST) + GST amount

$201.16 = (2x + 10) + (0.1x + 0.5)

Now, solve for "x":

2x + 10 + 0.1x + 0.5 = 201.16

2.1x + 10.5 = 201.16

2.1x = 201.16 - 10.5

2.1x = 190.66

x = 190.66 / 2.1

x ≈ 90.79

So, the price per ticket (before any additional charges) is approximately $90.79.

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