Please help.
Given the equation in Standard Form, change it into Slope-Intercept Form [y = mx +b]
3y - 9x = -6
Show work.

Answer:

First choice

Step-by-step explanation:

It passes through (4, 0) and (0, -4)

Slope = (0 - (-4))/(4 - 0) = 4/4 = 1

so y - 0 = 1*(x - 4)

x - y = 4

8x - 8y = 32

First choice

The amount the customers pay is an illustration of a piecewise functions

The equations of the piecewise functions are: [tex]y = \left[\begin{array}{cc}5x&0 < x \le 5\\4x&x > 5\end{array}\right[/tex]

For the first function, we have the following points.

(x,y) = (0,0) and (4,20) for 0 < x <= 5

Since the line passes through the origin, the equation of the line would be:

[tex]y = \frac{y_1}{x_1} * x[/tex]

So, we have:

[tex]y = \frac{20}{4} * x[/tex]

[tex]y = 5x[/tex]   0 < x <= 5

For the second function, we have the following points

(x,y) = (8,32) and (9,36) for x > 5

The equation of the line would be:

[tex]y = \frac{y_1-y_2}{x_1-x_2} * (x - x_1) + y_1[/tex]

So, we have:

[tex]y = \frac{36-32}{9-8} * (x - 8) + 32[/tex]

[tex]y = 4(x - 8) + 32[/tex]

[tex]y = 4x - 32 + 32[/tex]

[tex]y = 4x[/tex]    x > 5

Hence, the equations of the piecewise functions are:

[tex]y = \left[\begin{array}{cc}5x&0 < x \le 5\\4x&x > 5\end{array}\right[/tex]

Read more about piecewise function at:

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Answer:

x = 10

Step-by-step explanation:

To solve, divide both sides by the base number then solve the exponents as an equation.

[tex]4^{x+2} = 4^{12}[/tex]

x = 10

it's letter A

because

150×2=300

i hope this helps<3

Answer:

(-2)3 -60, s5, 22, -5.1, 36, 78, 97

Answer:

Step-by-step explanation:

Given functions:

Solve in two steps

Find g(2)

Find f(1)

The pairs of shoes is an illustration of the point estimate of the population mean.

The teenagers have 30 pairs of shoes

The question is incomplete, as the dataset to determine the number of shoes is not given.

To answer the question, I will use the following dataset

50 26 26 31 57 19 24 22 23 38 13 50 13 34 23 30 49 13 15 51

The sample mean is an estimate of the population mean.

The sample mean is calculated as:

[tex]\bar x = \frac{\sum x}{n}[/tex]

So, we have:

[tex]\bar x = \frac{50 +26+ 26+ 31+ 57 +19 +24 +22+ 23 +38 +13 +50 +13 +34+ 23+ 30 +49 +13 +15+ 51}{20}[/tex]

Evaluate the sum

[tex]\bar x = \frac{607}{20}[/tex]

Evaluate the quotient

[tex]\bar x = 30.35[/tex]

Approximate

[tex]\bar x = 30[/tex]

Using the assumed values, the teenagers have 30 pairs of shoes

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Answer:

Step-by-step explanation:

Answer:

I hope this helps you.

Step-by-step explanation:

Assets are the economic resources belonging to a business. Assets could be money in a cash register or bank account, or items such as property, fixtures and furniture, equipment, motor vehicles, and stock or goods for resale. An important asset in businesses which sell goods or services on credit is money owed to the enterprise by customers. This asset is known as debtors.

Capital is the value of the investment in the business by the owner(s). It is that part of the business that belongs to the owner; hence it is often described as the owner’s interest.

Liabilities are the debts owed by the firm. The main types of liabilities are creditors (money owed by the business to suppliers of goods and services), bank overdrafts and bank loans.

Answer: 7:3 and 28:12

Step-by-step explanation:

The equivalent form of the given ratio is 7 : 3. The correct answer is option (b).

A ratio is the relation between two numbers as a / b. A proportion is the equality of two ratios as a / b = c / d.

Ratio and proportion can be applied to solve Mathematical problems dealing with unit values of the quantities.

The given ratio is 14 : 6.

A ratio of two numbers a and b can be written in the form of fraction as,

a : b = a/b

Thus, the given ratio can be simplified as,

14 : 6 = 14/6

         = 7/3

Again it can be converted into the ratio as,

7/3 = 7 : 3

Hence, the equivalent ratio of the given ratio is 7 : 3.

To know more about ratio and proportion click on,

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#SPJ2

Answer:

3 is the answer

7 days make one week

21÷7 =3

Answer:

B...look at the x axis and what part of the acis the graph is on.

Step-by-step explanation:  

So... where it says Y=4x-1, take the 4x and plot it on the y axis, next on the equation it says -1, plot -1 on the left ( X-axis)

I hope this helps

Answer:

ill edit my comment later but is there a graph? its not enough info

Step-by-step explanation:

not enough info i think

Answer:

The first one.

Step-by-step explanation:

A solid figure is a closed shape. If you do mental calculation, the first one is the only one that is solid, or closed.

#1

Yes it has 4 rectangles horizontal and two small rectangles sideby.

#2

It has two traingle faces

#3

#4.

All faces are square

Step-by-step explanation:

If this were to make a triangle, then 30.1 and 0.8 would be the shorter sides and 31 would be the longest side.

The sum of the lengths of the shorter sides is 30.1+0

8=30.9.

Since this is less than the length of the segment that would be the longest side, by the triangle inequality theorem, these side lengths would not make a triangle.

Answer:The top one on the right.

Step-by-step explanation:

Answer:

3.6/30 = 1/x

30/3.6 = 8.3333

1 inch = 8 1/3 feet

Answer:

24

Step-by-step explanation:

15 inches represent 30 feet = 30*12 inches = 360 inches

so 1 inch represent 360/15 = 24 inches

the scale factor is 24

Answer:

9r4

Step-by-step explanation:

8.4 + y = 10.7 108 = 9r 4.

Answer:

Step-by-step explanation:

Divide: 21/7

Your answer is 3

Using the permutation formula, as the order is important, it is found that 2520 distinct passwords can be made.

The order is important as abcde is a different password than edcba, hence the permutation formula is used.

The number of possible permutations of x elements from a set of n elements is given by:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

In this problem, 5 letters are chosen from a set of 7, hence:

[tex]P_{7,5} = \frac{7!}{(7-5)!} = 2520[/tex]

2520 distinct passwords can be made.

More can be learned about the permutation formula at https://brainly.com/question/25925367

The fraction of his lotto earnings that is remaining is 7/20.

A fraction is a portion of a whole or, more broadly, a set of equal pieces.

Let the total amount that the man won in the lotto jackpot is x.

Now, he spent 2/5 of the jackpot on luxury cars and 1/4 on buying a house, therefore, the total spending he will do is,

[tex]\dfrac{2x}{5}+\dfrac{x}{4}[/tex]

Now, the fraction of his lotto earnings that is remaining can be written as,

[tex]x-\dfrac{2x}{5}+\dfrac{x}{4}\\\\\\=\dfrac{x}{1}-\dfrac{2x}{5}-\dfrac{x}{4}\\\\\\=\dfrac{x \times 20}{1 \times 20}-\dfrac{2x \times 4}{5 \times 4}-\dfrac{x\times 5}{4\times 5}\\\\\\=\dfrac{20x-8x-5x}{20}\\\\=\dfrac{7x}{20}[/tex]

Hence, the fraction of his lotto earnings that is remaining is 7/20.

Learn more about Fraction:

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Answer:

B

Step-by-step explanation:

P(7,r) = 5040

[tex]P(n,r)=\dfrac{n!}{(n - r)!}\\\\\\n = 7 \\\\\dfrac{7!}{(7 - r)!}=5040\\\\\\7! = (7-r)!*5040\\\\(7-r)!=\dfrac{5040}{7*6*5*4*3*2*1}\\\\\\(7-r)!=\dfrac{5040}{5040}\\\\\\(7-r)!=1\\\\[/tex]

(7 - r)! = 1!

7 -r = 1

7 = 1 + r

7 - 1 = r

r = 6

Answer:

  12.  B or C

  13.  C

  14.  A

  15.  A

Step-by-step explanation:

These problems involve various counting techniques. For combinations and permutations, there are formulas to aid in the counting. For other situations, you may need to list possibilities.

__

  P(7, r) = 5040 . . . . . given

  P(7, r) = 7!/(7 -r)! = 5040

  5040/(7 -r)! = 5040 . . . . . evaluate 7!

  (7 -r)! = 1 . . . . . . . . . . . multiply by (7-r)!/5040

We know that both 0! and 1! = 1, so this has two solutions:

  7 -r = 0   ⇒   r = 7

  7 -r = 1   ⇒   r = 6

Both choices B and C are correct.

The attached calculator output confirms this result.

__

The formula of choice C is correct:

  C(n, r) = n!/((n-r)!r!)

__

The number of permutations of the 9 letters is reduced by the numbers of permutations of letters that are indistinguishable. That is, the 9 letters can be rearranged 9! ways, but the 4 Es are indistinguishable, so a factor of 4! must be removed from that result. Similarly, the two Ns and two Ss are indistinguishable, so additional factors of 2! must be removed. The number of arrangements is ...

  9!/(4!2!2!) . . . . matches choice A

__

The 5 students can be arranged in 5 consecutive chairs in P(5, 5) = 5! = 120 ways. Those 5 consecutive chairs can start in chairs 1 through 6, so there are 6×120 = 720 ways the 5 students can sit together in 10 chairs.

Answer:

The option c is the descriptive adjective in a prepositional phrases.

Answer:

-2

Step-by-step explanation:

We use the slope formula, [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], and substitute the points (0,8) and (2,4). This gives

[tex]\frac{4-8}{2-0}=\frac{-4}{2}=-2[/tex]

as the slope.

Hello.

Since we have two points, and we are asked to find the slope of the line, let's use the slope formula:

[tex]\mathrm{m=\displaystyle\frac{y2-y1}{x2-x1}}[/tex]

Where

m is the slope

y2 is the y-coordinate of the second point

y1 is the y-coordinate of the first point

x2 is the x-coordinate of the second point

x1 is the x-coordinate of the first point

In this case, m is unknown, y2 = 4, y1 = 8, x2=2, x1=0

Plug in the values:

[tex]\displaystyle\frac{4-8}{2-0}[/tex]

[tex]\displaystyle\frac{-4}{2} =-2[/tex]

Therefore, the slope is -2.

I hope it helps!

Have a nice day!

[tex]\boxed{imperturbability}[/tex]

Step-by-step explanation:

she drove already 165 miles.

she will reach her destination, if she drives 4 more hours by going 65 miles/hour.

that would mean she would travel

65×4 = 260 miles

in these 4 hours.

so, the total trip is then 165 + 260 = 425 miles.

but what I find strange is that your teacher specified how long it took her to drive the first 165 miles.

as you can see above, it would make no difference for the calculation of the total trip length in miles.

this is either an attempt to confuse us, or the message is that Judy has to achieve an average of 65 miles/hour for the whole trip, and the problem definition was just imperfectly phrased.

if that is the case, then things look a bit different, as her average speed was only 165/3 = 55 miles/hour for the first 3 hours and 165 miles.

so,

(165 + x)/(3 + 4) hours = 65/hour

(165 + x)/7 hours = 65/hour

165 + x = 65 × 7 hours / hour = 65×7 = 455 miles

x = 455 - 165 = 290 miles

she would have to go

290 miles / 4 hours = 72.5 miles/hour

for these next 4 hours (and 290 miles) to reach an overall average speed of 65 miles/hour.

and the total trip would be then

165 + 290 = 455 miles

I am not sure, which your teacher wants here.

65 miles/hour average speed just for the next 4 hours, or to speed up that much for the next 4 hours that the overall trip average is then 65 miles/hour.

again, the phrasing of the problem definition suggests the first case, but the fact that the travel time for the first part of the trip is given could suggest the second case (as this information is not needed for the first case).

Answer:

250 pi

Step-by-step explanation:

formula for area of a circle: pi r squared

pi times 50 squared is 250 pi