The expression 3 1/2x+18 represents the perimeter of the rectangle shown. Write an expression that represents the length of the rectangle.

Step-by-step explanation:

[tex](x,\ y)\\\\x\in\text{Domain}\\\\y\in\text{Range}\\\\(6,\ 1),\ (-1,\ -8),\ (3,\ 5),\ (9,\ 1)\\\\\text{Domain}=\{-1,\ 3,\ 6,\ 9\}\\\text{Range}=\{-8,\ 1,\ 5\}\\\\\text{This relation is a function because each x is assigned one value of y.}[/tex]

Answer:

Yes, this relation is a function.

Step-by-step explanation:

Take the first element from each ordered pair to obtain the domain:

(6, -1, 3, 9).  Since the inputs are all unique (no duplication), the relation is a function.

Answer:

all work is shown and pictured

Answer:

L = 2w

A = L*W

A = 2w*w

A = 2w^2

Step-by-step explanation:

Final answer:

The area of the rectangle garden as a function of its width w is  [tex]A(w) = 2w^2[/tex], where the length is twice the width of the garden.

Explanation:

The landscaper wishes to make a rectangle flower garden where the length is twice the width. If we denote the width as w and the length as 2w, we can express the area A as a function of its width.

The formula for the area of a rectangle is length × width, so the area function A(w) would be:

A(w) = length × width
    = 2w × w
    = [tex]2w^2[/tex]

So, the area of the garden as a function of its width is [tex]A(w) = 2w^2.[/tex]

Answer:

Step-by-step explanation:

As we Know that formula for arithmetic sequence is

[tex]a_n=a_1+(d-1)[/tex]

and for geometric sequence is

[tex]a_n=a1*r^(n-1)[/tex]

So,

According to given conditions

     [tex]a+7d=a*r^5 (i)\\ a+19d=a*r^7 (ii)[/tex]

By dividing equation (i) and (ii)

Hence proved that

[tex]r^2=a+19d/a+7d[/tex]

Answer:

2y-4x

Step-by-step explanation:

Answer:

-10

Step-by-step explanation:

y=2x-5

Putting the value of y in 2y-4x

2(2x-5)-4x

4x-10-4x

0-10

-10

Answer:

The answer is C.) -113.75

Step-by-step explanation: I just did the assignment and used a calculator to find the answer.

Answer:

10.44

Step-by-step explanation:

okay so percentages can be converted to decimals

to do this, you can either:

move the decimal space to the left twice

or

divide the percentage (in this case 58) by 100,

regardless you will get the same answer

58.0 → 5.80 → 0.58

now that you have 58% as a decimal, all you have to do is multiply it by 18

(0.58)(18) = 10.44

therefore, 58% of 18 is 10.44

Final answer:

To calculate 58% of 18, convert the percentage to a decimal (0.58) and multiply it by 18, resulting in 10.44.

Explanation:

To find what 58% of 18 is, we use the concept that 'percent' means 'per hundred' or 'out of 100'. So essentially, we need to find 58 out of every 100 parts of 18. This calculation can be represented by the mathematical expression 0.58 x 18 (since 58% as a decimal is 0.58). The steps to solve this are:

So, 58% of 18 is 10.44.

Hey there!

-3x(4x + 3) + 5x

= -3x(4x) + -3x(3) + 5x

= -3x(4x) - 3x(3) + 5x

= -3x(4x) + 3(-3x) + 5x

= -12x^2 + 3(-3x) + 5x

= -12x^2 - 9x + 5x

= -12x^2 - 4

Therefore, your answer is: -12x^2 - 4

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer: x = 10

Explanation: To solve this equation for x, we start by distributing the 2 through the parentheses on the left side.

So we have 2 times x which is 2x and 2 times -3 which is -6. So our equation now reads 2x - 6 = 14.

Solving from here,

we add 6 to both sides of the equation and we have 2x = 20 and dividing both sides by 2, we find that x = 10.

We can check our answer by substituting a 10 back in for x in the original equation and we have 2(10 - 3) = 14.

10 - 3 is 7 so we have 2(7) = 14 or 14 = 14 which is a true statement so our answer checks.

After deducting Linda's $1,000 deductible and 20% coinsurance from her total medical bills, the insurance company paid $4,360 for the year.

Linda's health insurance policy has a deductible of $1,000, meaning that amount will have to be paid out of her pocket before the insurance starts to cover. In addition, the policy has 20% coinsurance, which means Linda is responsible for 20% of the remaining healthcare costs after the deductible is met.

First, calculate the bills Linda has to pay after the deductible: $6450 - $1000 = $5450.

Next, account for the coinsurance by calculating 20% of that amount: 0.20 * $5450 = $1090.

To find out how much the insurance company paid, we subtract the amount Linda pays from her total bills. Therefore, $6450 - $1000 (deductible) - $1090 (coinsurance) = $4360. So, the insurance company paid $4360 for the year.

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Answer:

$320

Step-by-step explanation:

To find the answer to this you would need to multiply the price by 2 so that you may find out what double the half of price would be, so in theory you and doing the reciprocal.

Option B

The second term of sequence is -9

Solution:

Given that,

[tex]a(1)= -13\\\\a(n) = a(n-1) + 4[/tex]

We have to find the second term of sequence

To find the second term of sequence, substitute n = 2 in given recursive formula

Plug in n = 2 in above equation

[tex]a(2) = a(2-1) + 4\\\\a(2) = a(1) + 4[/tex]

Substitute a(1) = -13

[tex]a(2) = -13 + 4\\\\a(2) = -9[/tex]

Thus the second term of sequence is -9

Answer:

290.

Step-by-step explanation:

36.25 x 8

Answer:2.5 or 2 with the remainder of 20

Step-by-step explanation:

Answer:

2.5

Step-by-step explanation:

If you are asking what 100 divided by 40 is, that is the answer. (I'm not really sure how to explain it. Just type in 100 divided by 40 into your calculator)

Hope this helps!

-Coconut;)

Written out, that would be 4x - 2 = 5.

To solve, add 2 and then divide by 4:

4x = 7

x = 7/4

Answer:

7/4

Step-by-step explanation:

X = a number

Four times a number

4X

Four times a number,decreased by two

4X - 2

Four times a number,decreased by two is five.

4X - 2 = 5

4X = 5 + 2 = 7

X = 7/4

Answer:

x = -6

=b=6=

Step-by-step explanation:

Answer:

Step-by-step explanation:

Incomplete question!

Answer:

Step-by-step explanation:

Yes

Answer:

Step-by-step explanation:

5 / (3/4) =

5 * 4/3 =

20/3 <==== I left it as an improper fraction

Good morning,

Answer:

[tex]\frac{\sqrt{3} }{2} a[/tex]

Step-by-step explanation:

h = altitude

side = a

using Pythagorean theorem: in the right triangle:

h² = a² - (a/2)²

    = a² - a²/4

    = 3/4a²

    = [(√3/2)×a]²

⇒ h = (√3/2)×a.

:)

Answer:

x = 7/4 = 1.75

Step-by-step explanation:

Hello - so you don't seem to have shown what the calculator screen displays, however I can assume it will show a graph of the two lines, and their intersection point. The x-co-ordinate of this intersection point is the solution to the equation.

As I can't see the calculator, I will also show you how to work out the solution for x:

3x - 1 = 6 -x

4x -1 = 6

4x = 7

x   = 7/4  = 1.75

Step-by-step explanation:

Given a triangle ABC with vertices A(2,1),B(12,2) and C(12,8)

[tex]x_1=2,y_1=1,x_2=12,y_2=2,x_3=12 and y_3=8[/tex]

The area of a triangle is= [tex]\frac{1}{2} [x_1(y_2-y_3) +x_2 (y_3- y_1)+x_3(y_1-y_2)][/tex]

=[tex]|\frac{1}{2} [2(2-8+12(8-1)+12(1-2)]|[/tex]

=[tex]|-54|[/tex] = 54 square units

The length of AC = [tex]\sqrt{(x_1-x_3)^{2} +(y_1-y_3)^2}[/tex]

                          = [tex]\sqrt{(2-12)^{2} +(1-8)^2}[/tex]

                         =[tex]\sqrt{149}[/tex] units

Let the perpendicular distance from B to AC be = x

According To Problem

[tex]\frac{1}{2} \times x \times \sqrt{149} = 54[/tex]

⇔[tex]x =\frac{108}{\sqrt{149} }[/tex] units

Therefore the perpendicular distance from B to AC is = [tex]\frac{108}{\sqrt{149} } units[/tex]

Luis choosing one card from the deck then choosing a second card without replacing the first is a dependent event.

Step-by-step explanation:

Lets define independent and dependent events first.

Independent events:

The events are said to be independent if the probability of occurrence of one event doesn't affect the probability of second event.

Dependent events:

The events in which the probability of occurrence of one event affects the second event's probability of occurrence, are called dependent events.

Now,

When a card is drawn from a deck of cards and NOT replaced, it makes the second event's probability depend on first event as the sample space for second event changes due to the first event.

Hence,

Luis choosing one card from the deck then choosing a second card without replacing the first is a dependent event.

Keywords: Probability, dependent events

Learn more about probability at:

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Answer:

Part 1) x=5

Part 2) x=2

Step-by-step explanation:

The question is solve for x

Part 1) we have

[tex]x+3x=x+x+10[/tex]

Combine like terms both sides

[tex]4x=2x+10[/tex]

subtract 2x both sides

[tex]4x-2x=10\\2x=10[/tex]

divide by 2 both sides

[tex]x=5[/tex]

Part 2) we have

[tex]2x+3+3x=x+11[/tex]

Combine like terms left side

[tex]5x+3=x+11[/tex]

subtract x both sides

[tex]5x+3-x=11\\4x+3=11[/tex]

subtract 3 both sides

[tex]4x=11-3\\4x=8[/tex]

divide by 4 both sides

[tex]x=2[/tex]

Answer:

she got 9 out of 10 correct on the test so 90% correct, which only leave 10% left to have 100%.

so she got 10% wrong

Step-by-step explanation:

Answer:

1 out of ten or 10 percent { :

Step-by-step explanation:

Answer:

2*2*9+4*12*3=36+144=180

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let, the three islands A, B and C has a, b and c houses respectively.

According to the question, a + b = 15; a + c = 17; b + c = 12; a + b + c = 22.

Adding [ a + b = 15; a + c = 17]-these two, we get, [tex]a + (a + b + c) = 15 + 17 = 32\\a + 22 = 32\\a = 10[/tex].

Now, [tex]a + b = 15\\10 + b = 15\\b = 5[/tex].

[tex]a + c = 17\\10 + c = 17\\c = 7[/tex].

Answer:

whats the answer lol

Step-by-step explanation:

Answer:

Part 5) Option b [tex]2x\sqrt{3}\ ft[/tex]

Part 6) Option d. [tex]4y\sqrt[3]{2}\ mm[/tex]

Step-by-step explanation:

Part 5) we know that

The area of a square is equal to

[tex]A=b^2[/tex]

where

b is the length side of the square

we have

[tex]A=12x^2\ ft^2[/tex]

substitute

[tex]12x^2=b^2[/tex]

Solve for b

take square root both sides

[tex]b=\sqrt{12x^{2}}[/tex]

Remember that

[tex]12=(2^2)(3)[/tex]

substitute

[tex]b=\sqrt{(2^2)(3)x^{2}}[/tex]

Applying property of exponents

[tex]b=\sqrt{(2^2)(3)x^{2}}=[(2^2)(3)x^{2}]^{\frac{1}{2}}=[2^2x^2]^{\frac{1}{2}}3^{\frac{1}{2}}=2x\sqrt{3}\ ft[/tex]

Part 6) we know that

The volume of a cube is equal to

[tex]V=b^3[/tex]

where

b is the length side of the cube

we have

[tex]V=128y^3\ mm^3[/tex]

substitute

[tex]128y^3=b^3[/tex]

Solve for b

take cubic root both sides

[tex]b=\sqrt[3]{128y^3}[/tex]

Remember that

[tex]128=(2^7)=(2^6)(2)=(2^2)^3(2)[/tex]

substitute

[tex]b=\sqrt[3]{(2^2)^3(2)y^3}[/tex]

Applying property of exponents

[tex]b=\sqrt[3]{(2^2)^3(2)y^3}=[(2^2)^3(2)y^3]^{\frac{1}{3}}=[(2^2)^3y^3]^{\frac{1}{3}}2^{\frac{1}{3}}=2^2y\sqrt[3]{2}=4y\sqrt[3]{2}\ mm[/tex]

The graph that represents the solution to this inequality is x > -1.

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal =

Greater than and equal=

We have,

The given inequality is 16x - 80x < 37 + 27.

Simplifying the left-hand side of the inequality.

-64x < 64

Dividing both sides by -64

(remember to reverse the inequality because we're dividing by a negative number).

x > -1

Now,

This inequality represents all values of x that are greater than -1.

To represent this solution graphically, we would shade the region to the right of the vertical line x = -1, as all x values to the right of -1 satisfy the inequality.

Thus,

The graph that represents the solution to this inequality is x > -1.

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