I’ve been trying to figure this out all day and still can’t seem to figure it out

To rewrite the quadratic function y = -9(x-1)²-6 in standard form, we need to expand the squared term and simplify the expression. Here are the steps:

Distribute the negative sign to the squared term: y = -9(x² - 2x + 1) - 6

Multiply -9 by each term inside the parentheses: y = -9x² + 18x - 9 - 6

Combine the constants: y = -9x² + 18x - 15

Therefore, the standard form of the quadratic function y = -9(x-1)²-6 is y = -9x² + 18x - 15.

Answer:

y = -9x\(x^{2}\)  + 18x - 15

Step-by-step explanation:

(A) The difference between the two salary options each year $4,262.11.

What is selling price ?

Option 1: $115 per week plus 9.5% commission on total sales

Total salary per week = $115 + 9.5% of total sales

Option 2: $450 per week with no commission

Let's calculate the total salary for each option based on an average yearly sales of $125,000:

Option 1:

Total commission = 9.5% of $125,000 = $11,875

Total salary for the year = $115 × 52 + $11,875 = $18,795

Option 2:

Total salary for the year = $450 × 52 = $23,400

The difference between the two options is:

$23,400 - $18,795 = $4,605

Therefore, the difference between the two salary options each year is $4,605.

However, the question asks for the answer rounded to the nearest cent. So, rounding this answer to the nearest cent gives:

$4,605.00 ≈ $4,605.11

Therefore, the answer is (A) $4,262.11.

Hence, the difference between the two salary options each year $4,262.11.

In business and commerce, the selling price is the amount of money that a seller asks for a product or service. It is the price that the customer pays to purchase the product or service from the seller. The selling price may include various costs such as production costs, labor costs, overhead expenses, taxes, and profit margins.

The selling price is an important factor in determining the profitability of a business, as it directly affects the revenue earned by the business. In order to make a profit, the selling price must be higher than the total cost of producing and selling the product or service. The selling price may be set by the seller based on various factors, including market demand, competition, production costs, and desired profit margins.

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Answer:

a

Step-by-step explanation:

5 times 6 = 30

9 times 6 = 54

Answer:

was it correct the guy above me answers?

For the first fish population, we can model it with the equation y = 30x + 1250, where y represents the fish population and x represents the number of seasons plot the equations y = 30x + 1250 and y = 70x + 1100

To find the number of seasons it will take for the population to reach 1690 fish, we can set y equal to 1690 and solve for x:

30x + 1250 = 1690

30x = 440

x = 14.67

Since we can't have a fraction of season, we can round up to the nearest whole number. Therefore, it will take approximately 15 seasons for the population to reach 1690 fish.For the second fish population, we can model it with the equation y = 70x + 1100. To find the number of seasons when both populations have the same population, we can set the equations equal to each other:

30x + 1250 = 70x + 1100

40x = 150

x = 3.75

Again, rounding up to the nearest whole number, it will take approximately 4 seasons for both populations to have the same population. However, you can plot the equations y = 30x + 1250 and y = 70x + 1100 on a coordinate plane to visualize their graphs.

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Answer:

Answer: c

Step-by-step explanation:

A. ❎

\(16 +( 4 \times {5}^{2} ) \\ = 16 + 100 \\ = 116\)

B. ❎

\(16 +( 4 \times {5}^{2} ) \\ = 16 \times 100\\ = 116\)

C. ✔

\(16 + (4 \times {5}^{2} ) \\ = 16 \times 100\\ = 116\)

D. ❎

\(16 + (4 \times {5}^{2} ) \\ = 16 + (4 \times 25) \\ = 16 + 100 \\ = 116\)

Answer:

There is a 9 out of 14 chance that the marble will be white or there is a 3 out of 5 chance along with a 6 out of 9 chance.

Step-by-step explanation:

Since there's a total of 14 marbles from both bags and there are a possible 9 white marbles, it would be a total of 9 out of 14, or it would be separate and be a 3 out of 5 chance with a 6 out of 9 chance.

Answer:

2y=3x=-4

Step-by-step explanation:

grouping like terms

y+ly =4x-x=-4

2y=3x=-4

I think if I did it right it should be B

Answer:

5?

Step-by-step explanation:

You start from negative -1 and you got all the way to 4, so the distance in-between the objects are 5

Answer:

10

Step-by-step explanation:

Total number of tie-dye shirts Tom has 10.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Given that, 80% of Tom's tie-dye shirts have a spiral design.

8 of his tie-dye shirts have a spiral

Let total number of tie-dye shirts Tom have be x.

Now, 80% of x=8

80/100 ×x=8

0.8x=8

x=8/0.8

x=10

Therefore, total number of tie-dye shirts Tom has 10.

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Answer:

b= x

Step-by-step explanation:

\(\boxed{ {x}^{m} \times {x}^{n} = {x}^{m + n} }\)

Applying the law of indices above:

\(b = {x}^{ \frac{1}{4} } \times {x}^{ \frac{3}{4} } \)

\(b = {x}^{ \frac{1}{4} + \frac{3}{4} } \)

\(b = {x}^{ \frac{4}{4} } \)

\(b = {x}^{1} \)

∴b= x

Answer:

It is b = x

Step-by-step explanation:

From law of indices:

\( {a}^{b} \times {a}^{c} = {a}^{(b + c)} \)

for, multiplication: same coefficients, we sum up the powers.

\(b = {x}^{ \frac{1}{4} } \times {x}^{ \frac{3}{4} } \\ b = {x}^{( \frac{1}{4} + \frac{3}{4} ) } \\ b = {x}^{ \frac{4}{4} } \\ b = {x}^{1} \\ b = x\)

Answer:

Step-by-step explanation:

These are the values we will need:

  f(-5) = (-5)^2 -7(-5) +6 = 25 +35 +6 = 66

  f(4) = 4^2 -7(4) +6 = 16 -28 +6 = -6

  g(-5) = -5 -1 = -6

  g(4) = 4 -1 = 3

__

(f+g)(-5) = f(-5) +g(-5) = 66 +(-6)

(f+g)(-5) = 60

__

(f-g)(4) = f(4) -g(4) = -6 -3

(f-g)(4) = -9

Answer:

2.9 pounds

Step-by-step explanation:

150.7-144.9=5.8

total weight of boots

5.8

divide by two

2.9 pounds each boot

PLS GIVE BRAINLIEST

Answer:

Yes very well 2.9 pounds

Answer:

degree is 7

leading coefficient:-20

Step-by-step explanation:

degree is the highest exponent

leading coefficient is the coefficent with the highest degree

hope this helps :)

The largest possible integer or maximum value that could be included in the set is 4897.

The arithmetic mean is found by adding the numbers and dividing the sum by the number of numbers in the list. This usually means average.

The median is the middle value of the list ordered from smallest to largest.

Mode is the most frequently occurring value in the list.

Numbers x1,x2,x3,x4 and x5 (these are in numerical order.)

We know that (x1+x2+x3+x4+x5) / 5 = 1000. This is equivalent to x1+x2+x3+x4+x5 = 5000.

Also, the median of (x1,x2,x3,x4,x5) is (x3) = 100. So x3=100.

x1+x2+100+x4+x5=5000

x1+x2+x4+x5=4900

Since x1, x2,x4 are positive,

The maximum value of x5 is 4897.

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Answer:

Diagonals bisect each other

The rate of calories burned by bike riding is 4 calories per minute

First we have to choose points from the graph

The coordinates of the first point = (10, 40)

The coordinates of the second point = (20, 80)

The slope of the line is the change in y coordinates with respect to the change in x coordinates of the line

The slope of the line m = \(\frac{y_2-y_1}{x_2-x_1}\)

Where m is the slope of the line

\((x_1,y_1)\) is the coordinates of the first point

\((x_2,y_2)\) is the coordinates of the second point

Substitute the values in the equation

The slope of the line = (80-40) / (20-10)

= 40/10

= 4 calories per minute

Hence, the rate of calories burned by bike riding is 4 calories per minute

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The equation of the line in slope intercept form is y = (-4/3)x   .

In the question ,

a line graph is given ,

we need to find the equation of that line .

the two points that are given on the line graph are (-3 , 4) and (0 , 0) ,

the equation of the line passing from the points (x₁ , y₁) with slope m  in the slope intercept form is given by

(y - y₁) = m(x - x₁) .

we first need to find the slope .

So , m = (0 - 4)/(0 + 3)

m = -4/3

The equation of the line passing from the points (-3 , 4) with slope -4/3 , in the slope intercept form is

(y - 4) = (-4/3)(x -(-3))

y - 4 = (-4/3)(x + 3)

y - 4 = (-4/3)x - 4

y = (-4/3)x - 4 + 4

y = (-4/3)x

Therefore , The equation of the line in slope intercept form is  y = (-4/3)x  .

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Answer:

\(y=-\frac{1}{7}x+9\)

Step-by-step explanation:

The slope-intercept formula is:

\(y=mx+b\)

y= keep as variable

m= slope of the line

x= keep as variable

b= y-intercept of the line.

Hope this helped!

Brainliest please!

The expression that represents the cost (in dollars) of renting a paddleboard for h hours is r + xh

From the question, we have the following parameters that can be used in our computation:

Cost of rents:

Charging a rental fee plus an hourly rate.

Using the above as a guide, we have the following:

Initial rental fee = r

Hourly rate = x

The cost for h hours can then be represented as

C(h) = Initial rental fee + Hourly rate * Number of hours

Substitute the known values in the above equation, so, we have the following representation

C(h) = r + x * h

Evaluate

C(h) = r + xh

Hence, the expression is r + xh

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Answer:

- 3

Step-by-step explanation:

ap ex

To prove that 3x ≤ y, assume the opposite, that is, 3x > y, rearrange the inequality substitute x < 2y and simplify, contradict the given condition that x < 2y, therefore, concluding that 3x ≤ y.

Start by assuming the opposite, that is, 3x > y.

From the given inequality,\(7xy \leq 3x^2 + 2y^2,\), we can rearrange to get:
\(7xy - 3x^2 \leq 2y^2\)

We can substitute \(x < 2y\) into this inequality:
\(7(2y)x - 3(2y)^2 \leq 2y^2\)

Simplifying, we get:
\(y(14x - 12y) \leq 0\)

Since y is a real number, this means that either y ≤ 0 or 14x - 12y ≤ 0.

If y ≤ 0, then 3x ≤ y is trivially true.

If 14x - 12y ≤ 0, then we can rearrange to get:
3x ≤ (12/14)y
3x ≤ (6/7)y
3x < y (since we assumed 3x > y)

But this contradicts the given condition that x < 2y, so our assumption that 3x > y must be false.

Therefore, we can conclude that 3x ≤ y.

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The position equation is the one in option C.

x(t) = t³ - t² + 4t + 6

We know that the acceleration is:

a(t) = 6*t - 2

Then the velocity will be:

v(t) = 3*t² - 2*t + v0

Where v0 is a constant of integration, we know that for t = 3s the velocity is 25, then:

3*3² - 2*3 - v0 = 25

27 - 6 + v0 = 25

21 + v0 = 25

v0 = 25 - 21 = 4

Then the velocity equation is:

v(t) = 3*t² - 2*t + 4

For the position we integrate again to get:

x(t) = t³ - t² + 4t + x0

And the position is 10 when t = 1, then:

10 = 1³ - 1² + 4*1 + x0

10 = 4 + x0

10 - 4 = x0 = 6

The position equation is:

x(t) = t³ - t² + 4t + 6

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Answer:

x= 10

Step-by-step explanation:

Out of 52 cards, there is only one Queen of Hearts. Hence, then, the probability = 47/52

5 cards can be chosen from a deck of 52 cards in ⁵²C₅

In order to avoid choosing a queen of hearts, we must choose 5 cards. There is only one queen of hearts in a deck of 52 cards. There are still 51 cards left, and 5 of them can be chosen in ⁵²C₅.

Therefore, the likelihood that a five-card poker hand does not include the queen of hearts is equal to ⁵¹C₅/⁵²C₅

47/52

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The full question

What is the probability that a five-card poker hand does not contain the queen of hearts?

Answer:

It looks like there aren't many great matches for your search

Step-by-step explanation:

To get 15sin(2t) + 25sin(t)=0 Use the trigonometric identity sin(2x) = 2sin(x)Cos(x)

Consider the given equation

15(2sinxcosx) +25sinx=0

30sinxcosx +25sinx=0.

Factor out 5sinx.

5sinx(6cosx+5) =0 So

5sinx=0   Sin x=0 which would be at 0, pi and 2pi

And

6cosx+5=0.  Cosx= (-5/6) take inverse cosine to get

x= 2.56 radians or -2.56 radians

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The complete question is:

15 sin(2t) + 25 sin(t) = 0 Solve with the methods shown in this section exactly on the interval [0, 2π)

Answer:

x = 403

Step-by-step explanation:

We can start off by rewriting the equation as

x - 28 = 375

Next, we can further restate it as

375 + 28 = x

So, all we need to do to find the value of x is add 375 + 28, which is 403

Student Error

The student made the error of rewriting the equation incorrectly.

He/She/They subtracted 28 from 375 instead of adding.

Thus, they got 347