A rectangle has dimensions 3x-1 and x+6. Write an expression for the area of the rectangle as a polynomial in standard form

Answer:

$129

Step-by-step explanation:

80 + 2(20) = 80 + 40 = 120

With tax: 100 + 7.5 = 107.5%

107.5/100 × 120

129

Answer:

129

Step-by-step explanation:

First find the cost for how much was purchased

boots: 80

2 shirts: 2*20 = 40

80+40 = 120

The tax is the cost times the tax rate

tax = 120 * 7.5%

      = 120 * .075

       9

The total cost is the cot plus the tax

total cost = 120+9

                 =129

Answer:

You would divide both sides by 0.05b, so that you would get h = A/0.05b

Step-by-step explanation:

SInce you are trying to isolate the variable, and the variable is being multiplied by 0.05b, you would simply do the opposite, or divide, in order to get h by itself.

Answer:

A=0.05bh  we divide both sides by "h"

A/h = .05b then we multiply both sides by 20

(20 A) / h = b

Step-by-step explanation:

Answer: A

Step-by-step explanation: when you add +3 you move 3 units left on the x axis and when its -3 it would be right.. hope it helps please give brainliest! but the best answer is A the others are not right

Clockwise rotation and translation 3 units to the left.

Given that the function f(x) = x translates to f(x) = 0.2 (x+3)

When we add 3 units to x, then the graph x shift left by 3 units.

By dilation, the graph will rotate clockwise.

Hence, the function f(x) = x translates to f(x) = x, clockwise rotation and translation 3 units to the left.

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Answer:

0

Step-by-step explanation:

The line y=3 has a zero slope (lays horizontal).

Answer:

Step-by-step explanation:

y=3 is parallel to x axis.

x axis and any line parallel to x axis has slope=0

Answer:

y = -3x + 2

Step-by-step explanation:

Parallel means same slope which is -3

Step 1:  Use point slope form

(y - y1) = m(x - x1)

(y - (-4)) = -3(x - 2)

y + 4 - 4 = -3x + 6 - 4

y = -3x + 2

Answer:  y = -3x + 2

x=2 :)

2x+1-1=5-1

2x=4

2/2x=4/2

x=2

if you do the opposite on one side you gotta do it on the other :)))

Answer:

x=2

Step-by-step explanation:

2x+1+5   move constant to right-hand side and change its sing

2x+5-1 subtract the numbers

2x+4  Divide both sides of the equation by 2

Answer:

a) 42%

b) 62%

Step-by-step explanation:

a) (73+32)/250 × 100 = 42

b) (32+123)/250 × 100 = 62

58% of shoppers do not have access to a computer at home, and 62% of shoppers do not have an e-mail account.

Let's first calculate the total number of shoppers. From the survey, 250 people were interviewed. We want to find (a) The percentage of shoppers who do not have computer access at home and (b) the percentage of shoppers who do not have an e-mail account.

(a) According to the table, the number of shoppers who do not have computer access at home is 22 + 123 = 145. The percentage can be calculated as 145/250 * 100 = 58%. Therefore, 58% of shoppers do not have computer access at home.

(b) The number of shoppers who do not have an e-mail account equals 32 + 123 = 155. The percentage is calculated in the same way, 155/250 * 100 = 62%. Therefore, the percentage of shoppers who do not have an e-mail account is 62%.

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Answer:

the last option is the correct option

Step-by-step explanation:

Answer: Fourth option

Step-by-step explanation:Why is because the question says they made at most meaning its max is $8,000 and its able to be equal to or less than so its closed dot.

Answer:

144cm^3

Step-by-step explanation:

[tex]V=1/2bh\\V=1/2(8*3)(12)\\V=1/2(24)(12)\\V=12(12)\\V=144[/tex]

Answer:

Step-by-step explanation:

The equation can be put into more conventional form:

  [tex]2\sqrt[3]{3xy}=-4\sqrt[3]{18} \qquad\text{given}\\\\\sqrt[3]{3xy}=-2\sqrt[3]{18} \qquad\text{divide by 2}\\\\3xy=-8\cdot 18 \qquad\text{cube both sides}\\\\y=\dfrac{-48}{x} \qquad\text{divide by $3x$}[/tex]

This shows an inverse relationship between x and y. No specific values are indicated. There are an infinite number of possible pairs of values for x and y.

__

Possible integer values are ...

  (x, y) ∈ {(-1, 48), (-2, 24), (-3, 16), (-4, 12), (-6, 8), (-8, 6), (-12, 4), (-16, 3), (-24, 2), (-48, 1), (1, -48), (2, -24), (3, -16), (4, -12), (6, -8), (8, -6), (12, -4), (16, -3), (24, -2), (48, -1)}

The range of grades on the fifth exam that will result in Steve earning a B in the course is 74 to 100 inclusive, as he needs at least a 74 to bring his average up to 80, and any score above 100 is not possible.

To calculate the range of grades on the fifth exam that will ensure Steve earns a B in the course, we need to determine what final score on the fifth exam will result in an average between 80 and 90 for all five exams.

Let's first add up the scores from Steve's first four exams:

To achieve an average of at least 80, the total sum of all five exam grades must be at least 400 (because 80 is the minimum average for a B, and 80 times 5 exams equals 400). So, the minimum score Steve needs on the fifth exam is:

Steve needs at least a 74 on the fifth exam to achieve an average of 80. If we want to ensure the average does not reach 90, the total sum of all five exam grades must be less than 450 (because 90 times 5 exams equals 450). The highest score Steve can get on the fifth exam and still remain in the B range is:

However, since Steve cannot score more than 100 on the fifth exam, the maximum score remains capped at 100.

Therefore, the range of grades on the fifth exam that will result in earning a B is 74 to 100 inclusive.

The population of Gloomy Falls will decrease to approximately 816 residents after three years, due to a yearly decline of 4.5%.

The problem posed involves calculating the decreasing population of a town under a hypothetical scenario. Given that Gloomy Falls has a starting population of 937, and it decreases by 4.5% annually, we need to apply this percentage decrease over a three-year period. The formula to calculate the population after each year is: Population after n years = Initial population × (1 - rate of decrease)n, where n is the number of years.

So we calculate the population as follows:

After rounding, we can estimate that approximately 816 residents will be left after three years. This is purely a mathematical exercise and the scenario of a serial killer is just for illustrative purposes.

Step-by-step explanation: Any function of the form f (x) = m x + b, where m is not equal to 0 is called a linear function. The domain of this function is the set of all real numbers. The range of f is the set of all real numbers. The graph of f is a line with slope m and y intercept b.

Answer:

7) 80 degrees

8) x = 73 and the angle(KEF) = 147

Step-by-step explanation:

360 - 160 = 200

200 - 53 = 147

2x+1=147

x = 73

Answer:

The answer is 24 centimeters or option(B)

Step-by-step explanation:

Answer:

  The correct answer is B. 24 cm.

Step-by-step explanation:

hope this helps, and have a nice day! :)

Answer:

f(2)= 5

Step-by-step explanation:

Given f(x) = -x² + 1

f(2) = -2² + 1 = 4 + 1 = 5

f(2) means the value of x = 2

Hence we substitute the value of X into f(x) = -x² + 1

Answer:

x y

-3 6

0 3

3 0

Step-by-step explanation:

The correct table of values for the equation y = -x + 3 is x; y; -3; 6; 0; 3; 3; 0.

Let's go through the steps to find the values of y for the given equation y = -x + 3 for the specified values of x:

1. For x = -3:

y = -(-3) + 3 = 6

2. For x = 0:

y = -(0) + 3 = 3

3. For x = 3:

y = -3 + 3 = 0

Therefore, the correct table of values is:

x     y

-3    6

0     3

3     0

The correct values are [tex]\(x \; y \; -3 \; 6 \; 0 \; 3 \; 3 \; 0\)[/tex].

Answer:

4 apples per friend

Step-by-step explanation:

Step 1:  Find how much she can share for each friend

56 / 14

4 apples per friend

Answer: 4 apples per friend

To find how many apples each friend gets, we can divide.

56 / 14 = 4 apples per friend.

Best of Luck!

Answer:

y = 75x

Step-by-step explanation:

If the train travels 600 miles in 8 hours, 600/8 gives us the hourly rate.  600/8 = 75 mph

Therefore, y = 75x

Answer:  y = 75x

Answer:

Step-by-step explanation

(distance) = (rate) times ( time)

d=r times t

d= distance in miles

r= rate in mi/hr.

t=time in hours

r = 600/8

r = 75t

Answer:

It is the graph of F translated 3 units up and 7 units to the right

Step-by-step explanation:

this is for PLATO users

Answer:

2/3 b +1/3 a

Step-by-step explanation:

b+ 1/3(-b+a)

= b - 1/3b + 1/3a

= 2/3 b +1/3 a

I hope this was helpful, please mark as brainliest

Answer:

D. 45

Step-by-step explanation:

1. The solution to the question above is answered in the attached picture.

2. Liz is wrong for choosing option C as answer. Liz actually performed this operation to get 30: 1.5 × 5 × 4 = 30.

Option B

[tex]3 x\sqrt{2} x[/tex] is the choice equivalent to [tex]\sqrt{6} x^{2} \cdot \sqrt{3} x[/tex]

Solution:

Step 1:

When we multiply two roots i.e. [tex]\sqrt{6} x^{2}[/tex] and [tex]\sqrt{3} x[/tex] the values are multiplied and still kept inside the root.

So [tex]\sqrt{6} x^{2}[/tex] × [tex]\sqrt{3} x[/tex] = [tex]\sqrt{6} x^{2} \times 3 x[/tex].

Step 2:

We then multiply the values in the root.

[tex]\sqrt{6} x^{2} \times 3 x[/tex] = [tex]\sqrt{18 x^{3}}[/tex]

Step 3;

We take the values out of the root by splitting up the value.

[tex]{18 x^{3}}[/tex] = [tex](9 \times 2)\left(x^{2} \times x\right)[/tex]

[tex]\sqrt{9}=3[/tex] and [tex]\sqrt{x^{2}}=x[/tex]

So [tex]\sqrt{18 x^{3}}[/tex] = [tex]\sqrt{9} \times 2 \times x^{2} \times x[/tex]

When we take values out of the root, we replace it with the square-rooted value on the outside.

[tex]\sqrt{18 x^{3}}[/tex] = [tex]3 x \sqrt{2 x}[/tex].

Thus option B is correct

Using the exponential growth formula, the town's population of 14,000 growing at a rate of 5% per year will reach 27,706 after 14 years.

To calculate the future population of a town with a given growth rate, we use the formula for exponential growth, which is:

[tex]P_{t} = P_0 (1 + r)^t[/tex]

Given a town with an initial population (P0) of 14,000 and a growth rate (r) of 5% or 0.05, want to find the population after 14 years (t).

Plugging in the values into the formula:

P(14) = 14,000 × (1 + 0.05)¹⁴

P(14) = 14,000  (1.05)¹⁴

P(14) = 14,000 1.9791

P(14) = 27,706.24

To the nearest whole number, the population after 14 years will be 27,706.

The advantages of using percentages are that they all are on the same scale (1/100) making it easier to work with compared to ratios.

We need to write the advantages of using percentages to represent the ratio.

The percentage is a fraction or a ratio in which the value of the whole is always 100.

The 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 "%".

Ratio: The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity. Ratios can be classified into two types. One is part to part ratio and the other is part to whole ratio.

The advantages of using percentages are that they all are to the same scale (1/100) making it easier to work with compared to ratios, they can be converted to decimals very quickly, and percentages can be used to show the change in a number (20% of 50: 50% of 10), telling you what the original number is (10:5 or 2:1 doesn’t give you the starting numbers).

Therefore, the advantages of using percentages are that they all are on the same scale (1/100) making it easier to work with compared to ratios.

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Answer:

Step-by-step explanation:

3 and 7 - corresponding

2 and 7 - alt exterior

4 and 5 - alt interior

3 and 6 - alt interior

Answer:

3 and 7 are Corresponding Angles

2 and 7 are Alternate Exterior Angles

4 and 5 are Alternate Interior Angles

3 and 6 are Alternate Interior Angles

Step-by-step explanation

3 and 7 are in the same place as each other. 2 and 7 are alternate and on the outside (not in between the 2 horizontal lines) leaving the other 2 which are alternate and on the inside.

Answer:

it won't let me see the link

Answer:

Option H, 1.428 * 10^-3

Step-by-step explanation:

Step 1:  Convert 0.001429 into scientific notation

To have the number in scientific, you need to have to have a number then the decimal point then the rest of the numbers.

0.001429

1.429

Next, you need to find out what you multiply 1.429 to get 0.001429

1.429 * 0.001

1.428 * 10^-3

Answer:  Option H, 1.428 * 10^-3

Answer:

3,888

Step-by-step explanation:

3•16=48

48•3=144

144•3=432

432•3=1,296

1,296•33,888

Answer:

3, 888

Step-by-step explanation:

Just multiply by 3 to get the next number

or

Nth term = 16 × (3^N-1)

Hey there!

When we solve for x, we need to isolate x on one side.

This is just a one-step equation, meaning there is only one thing we need to do to solve for x, or isolate x.

Starting with 87 + x = 100:

Subtract 87 from each side.

87 - 87 + x = 100 - 87

Simplify. Subtracting 87 from 87 makes it equal to 0.

x = 13

Your answer is A. 13.

Hope this helps!

Hello!

The answer to the problem is A) 13

Move all terms containing x to the left, all other terms to the right.

Add '-87' to each side of the equation

[tex]87 + -87 + x = 100 + -87[/tex]

Combine like terms: 87 + -87 = 0

[tex]0 + x = 100 + -87[/tex]

[tex]x = 100 + -87[/tex]

Get your answer

[tex]x=13[/tex]

Hope This Helps!