A piece of artwork, purchased for $1500, increases in value by 8% each year,11) (3pt) Write an exponential function to represent the value of the artworkafter z number of years.12) (2pt) What will the artwork be worth in 10 years?

Answer:

-6/5

Step-by-step explanation:

slope = (y_2 - y_1)/(x_2 - x_1)

slope = (14 - 8)/(-3 - 2)

slope = 6/(-5)

slope = -6/5

The solution is -6/5

The slope of the line that passes through the point A ( 2 , 8 ) and B ( -3 , 14 ) is slope m = -6/5

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the first point be A

Now , the value of A is A ( 2 , 8 )

Let the second point be B

The value of B is B ( -3 , 14 )

And , the slope of the line between 2 points is given by the formula,

Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 14 - 8 ) / ( -3 - 2 )

On simplifying the equation , we get

Slope m = 6 / ( -5 )

Slope m = -6/5

Therefore , the slope of the line is m = -6/5

Hence , The slope of the line that passes through the point A ( 2 , 8 ) and B ( -3 , 14 ) is slope m = -6/5

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The statement that is true regarding Rick's votes is D. Rick has 32 more votes than Jami.

From the information, three students are running for class president at Madison High School. Helen has h votes, Jami has h - 22 votes, and Rick has h + 10 votes

Rick = h + 10

Jami = h - 22

In this case, it's important to note that the difference between Jami and Rick will be:

= 10 - (-22)

= 10 + 22

= 32

Therefore, Rick will have 32 more votes.

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Three students are running for class president at Madison High School. Helen has h votes, Jami has h - 22 votes, and Rick has h + 10 votes. Which of the following statements is true regarding Rick's votes?

A. Rick has 10 more votes that Jami

B. Rick has 22 more votes that Jami

C. Rick has 5 more votes than Helen

D. Rick has 32 more votes than Jami.

Based on the ratio of the weights of objects in Planet A to Planet B, an elephants weighing 4,500 pounds on Planet A would weigh 135 pounds on Planet B

The ratio of the weight of an object in Planet A is 100 to 3 on Planet B. This means that every 100 pounds on Planet A is 3 pounds on Planet B.

If an elephant on Planet A is 4,500 pounds, on Planet B it would weigh:

Weight on Planet B = (4,500 x 3) / 100

Weight on Planet B = 13,500 / 100

Weight on Planet B = 135 pounds

In conclusion, the weight of the elephant on Planet B would be 135 pounds.

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I WILL BE USING LAWSOF EXPONENTS.

[tex] = {3}^{3} \times (3^{2})^{3x} \\ = {3}^{3} \times 3^{2 \times3 x} \\ = {3}^{3} \times {3}^{6x} \\ = 3^{3 + 6x} [/tex]

IF IT SAID THAT K IS THE IS THE EXPRESSION IN TERMS OF K THEN THE EXPRESSION NOW IS

[tex]3 +6 x[/tex]

HOPE THIS HELPS

The answer to the given question is Oscar wrote the correct equation that would relate kilometers to miles.

1. Table

km         miles

152          95

2.  Set the proportion with / and solve for k

/ = 152 km / 95 miles

/ = 1.6 km / 1 miles

= 1.6 , where  1.6 / 1 represents kilometers per mile.

So, Oscar is right.

Maria is wrong because:

If we solve the proportionality:

/ = 152 km / 95 miles

/ = 95 miles / 152 km

= 0.625 , where 0.625 represents miles per kilometer

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The complete question is:

"Oscar and Maria each wrote an equation that they felt represented the proportional relationship between distance in kilometers and distance in miles. One entry in the table paired 152 km with 95 miles. If represents the number of kilometers and represents the number of miles, who wrote the correct equation that would relate kilometers to miles? Explain why.

Oscar wrote the equation = 1.6, and he said that the unit rate 1.6 / 1

represents kilometers per mile.

Maria wrote the equation = 0.625 as her equation, and she said that 0.625 represents kilometers per mile."

The sum of the squares of the lengths of the other two sides, can be used to determine the length of the hypotenuse. The hypotenuse exists c = 50.

To determine the hypotenuse from the sides of a right triangle, use the Pythagorean theorem. Sum of squares is squared as c = √(a² + b²).

The longest side of a right-angled triangle, or the side opposite the right angle, exists comprehended as the hypotenuse in geometry. The Pythagorean theorem, which asserts that the square of the length of the hypotenuse equals the sum of the squares of the lengths of the other two sides, can be used to determine the length of the hypotenuse.

a² + b² = c²

⇒ c = √(a² + b²)

Where, a = 30 and b = 40, then

substitute the  values in the above equation, we get

30² + 40² = c²

900 + 1600 = c²

2500 = c²

50 = c

Therefore, the hypotenuse exists c = 50.

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The original coordinates of JKL:

J(-3, -3), K(-4, 2) and L(2,1)

First, it is translated by the algebraic rule (x,y)->(x+2, y-3):

J(-3, -3)-> J'(-3+2, -3-3)=J'(-1, -6)

K(-4, 2) -> K'(-4+2, 2-3)= K'(-2, -1)

L(2,1) -> L'(2+2, 1-3)= L'(4, -2)

Then, this image is translated by (x,y)-> (x-2, y-1)

J'(-1, -6) -> J''(-1-2, -6-1) = J''(-3, -7)

K'(-2, -1) -> K''(-2-2, -1-1)= K''(-4, -2)

L'(4, -2) -> L''(4-2, -2-1)= L''( 2, -3)

Coordinates for triangle J''K''L'':

J''(-3, -7), K''(-4, -2) and L''( 2, -3)

2. To find algebraic rule that represents JKL to J''K''L'':

The transformation of the functions from f(x) to g(x) is translate 7 units right and 2 units up

The equations of the functions are given as

f(x) = 3x + 9

g(x) = 3x - 10

Let the translations from f(x) to g(x) be h and k

So, we have

g(x) = f(x + h) + k

This gives

f(x + h) = 3(x + h) + 9 + k

Open the brackets

f(x + h) = 3x + 3h + 9 + k

Substitute f(x + h) = 3x + 3h + 9 + k in g(x) = f(x + h) + k

g(x) = 3x + 3h + 9 + k

This means that

3x + 3h + 9 + k = 3x - 10

Evaluate the like terms

3h + 9 + k = - 10

This gives

3h + k = - 19

Express -19 as -21 + 2

3h + k = -21 + 2

Express 21 as 3 * 7

3h + k = -3 * 7 + 2

By comparison, we have

h = -7 and k = 2

This means that the transformation is 7 units right and 2 units up

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The total sell in a month if salesman needed to have a monthly income of $1500 is $894657.14.

The total monthly earnings for salespeople can be calculated as follows:

Monthly salary = base salary + sales commission

Given that what a local salesman generates a base salary of $875 and a 10% sales commission on any and all sales above $1,800, the salesman must make the following sales in order to earn $1500 in a given month:

Let the sales done by 'x'.

Then,

875 + 7% (x - 1800) = 1500

875 + (7/100) (x - 1800) = 1500

7(x - 1800) = 62500

x - 1800 = 8928.7

x = 894657.14

Thus, the total sell in a month if salesman needed to have a monthly income of $1500 is $894657.14.

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The question wants us to represent your the equation y - 4 = 6()

The statement that shows the correct measure of ∠A'B'C' is
m∠ABC = m∠A'B'C'.

What type of transformation does rotation do?
Each point in a figure is transformed into a rotation by rotating it a specific amount of degrees around another point. A rotation produces a new figure known as the image. The picture matches the original figure exactly.
The rotation will typically be at a similar angle, even if a figure can be rotated by any number of degrees. Positive degrees will cause the figure to revolve counterclockwise. The graphic will turn clockwise if the degree value is negative. Any point on the figure can be rotated.

Given, ΔABC with co-ordinates (3, 4), (5, 3) and (3, 2); also ∠ABC = 53.13°
Again, ΔABC is rotated counter-clockwise by 90° to make the  ΔA'B'C'.
Thus, new triangle having co-ordinates (-4, 3), (-3, 5) and (-2, 3) is obtained.
Rotation retains congruence since it is a transformation that does not alter side length or angle measure.
Thus, we have ∠A'B'C' = 53.13°
Therefore, ∠ABC = ∠A'B'C' = 53.13° i.e. m∠ABC = m∠A'B'C'.

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The simplification of the equation [tex]\frac{(7^{2}.3-1 )^{4} }{(3^{2}.7-6)^{3} }[/tex] is 2453.5.

Consider the equation [tex]\frac{(7^{2}.3-1 )^{4} }{(3^{2}.7-6)^{3} }[/tex]

Solve for Numarator [tex](7^{2} .3-1)^{4}[/tex]= [tex](7^{2} .3-1)^{2} (7^{2} .3-1)^{2}[/tex]

= [tex](147-1)^{2}[/tex][tex](147-1)^{2}[/tex]

= (21316) (21316)

Solve for Denominator [tex](3^{2}.7-1)^{3\\}[/tex]

= [tex](63-6)^{3}[/tex]

= 57³

Solve both, and simplify the equation.

= [tex]\frac{(21316) (21316)}{185193}[/tex]

= 2453.5

∴ Simplification is 2453.5

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The first choice is the correct result

The answer is -1 and 5

If we solve the given equation for t we get that t=-2

The equation given,

9t+5(t+3) = -(t+13) +t

⇒9t + 5t + 15 = -t -13 +t

⇒14t + 15 = -13                    (∵-t+t=0)

⇒14t = -13-15                       (bringing 15 from left hand side to right hand      side the sign is flipped and 15 becomes -15)

⇒14t = -28

⇒[tex]t=\frac{-28}{14}[/tex]                            (dividing both sides by 14)

⇒t = -2

Thus on solving the equation we get t = -2

Your question was incomplete but most probably your full question was

Solve for t when this equation is given, 9t+5(t+3) = -(t+13) +t

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Answer:

x = 36

Step-by-step explanation:

  To find the value of 'x', isolate 'x'.

[tex]\sf \dfrac{5}{6}x = 30\\\\ \text{Multiply both sides by 6,}\\\\ 5x = 30*6\\\\\text{Divide both sides by 5,}\\\\ x = \dfrac{30*6}{5}\\[/tex]

x = 6 * 6

x = 36

The coordinates of B are (4 , -3) .

A cartesian coordinate system, which uses signed distances between two fixed perpendicular oriented lines and the point measured in the same unit of length, uniquely identifies any point in a plane by a pair of numerical coordinates.

Let the coordinates of B be (x, y)

As M is the mid point of AB , we know from the distance formula that the coordinates of M will be:

abscissae of M = (-2 + x) /2

or, 1 =   (-2 + x) /2

or, x = 4

Ordinate of M = (5 + y)/2

or , 1 = (5 + y)/2

or, y = -3

Therefore the coordinates of B are (4 , -3)

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The gigabyte needed will be g<2.2 as per the given condition that is- " Under her cell phone plan, Ella pays a flat cost of $49 per month and $5 per gigabyte. She wants to keep her bill under $60 per month."

A mathematical statement of an order relationship between two numbers or algebraic expressions, such as greater than, greater than or equal to, less than, or less than or equal to. The phenomenon of an unfair and/or unequal distribution of opportunities and resources among the people who make up a society is referred to as inequality. To different people and in various contexts, the word "inequality" may mean different things. The five inequality symbols in Maths are greater than symbol (>), less than symbol (<), greater than or equal to symbol (≥), less than or equal to symbol (≤), and not equal to symbol (≠).

Make use of the following steps to solve an inequality: Step 1: Remove fractions by multiplying all terms by the fractions' lowest common denominator. Step 2 Combine like terms on both sides of the inequality to simplify. Step 3 Obtain the unknown on one side and the numbers on the other by adding or subtracting quantities.

Here,

Under her cell phone plan, Ella pays a flat cost of $49 per month and $5 per gigabyte. She wants to keep her bill under $60 per month.

So the inequality will be,

49+5g<60

5g<11

g<2.2

The required gigabyte will be g<2.2 under the following circumstances: "Ella's cell phone plan has a fixed monthly fee of $49 and a per-gigabyte charge of $5. She wants to keep her monthly bill under $60."

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Answer:

[tex]g(x)=-x^2+8x-11\\\\f(x)=x^2-8x+21[/tex]

Step-by-step explanation:

Generally when you're given the vertex of a quadratic, you can express it in vertex form: [tex]f(x)=a(x-h)^2+k[/tex], where (h, k) is the vertex, and "a" is some constant value that determines the stretch/compression and the direction (up or down)

So we know that: (h, k) = (4, 5), meaning we can plug those values into the equation: [tex]f(x)=a(x-4)^2+5[/tex]

we can change the function by changing the value of the constant "a".

we can use two arbitrary values, but in this example I'll use -1 and 1.

this gives us the following functions: [tex]f(x)=(x-4)^2+5\\g(x)=-(x-4)^2+5[/tex]

these two functions are actually very similar, the only different is they're reflected across the x-axis (and some vertical shift) since the y-value is being negated, or at least part of it.

In your question it states (of any form), so I'm assuming we can leave it in vertex form, but just in case I'll expand them further into standard form

[tex]f(x)=(x-4)^2+5\\\\f(x)=(x-4)(x-4)+5\\\\f(x)=x(x-4)-4(x-4)+5\\\\f(x)=x^2-4x-4x+16+5\\\\f(x)=x^2-8x+21[/tex]

We can also expand the other function similarly.

[tex]g(x)=-(x-4)^2+5\\\\g(x)=-[(x-4)(x-4)]+5\\\\g(x)=-[x(x-4)-4(x-4)]+5\\\\g(x)=-[x^2-4x-4x+16]+5\\\\g(x)=-[x^2-8x+16]+5\\\\g(x)=-x^2+8x-16+5\\\\g(x)=-x^2+8x-11[/tex]

Answer:

y = 1.15x

Step-by-step explanation:

15% = 0.15

100% = total bill

Total bill + 15% = 115% or 1.15

x × 1.15 = y

Answer: 1/2

Step-by-step explanation:

Answer:

The correct answer seems to be 1/2

The representation of the linear model shows that the height of the balloon after 15 seconds is 0 feet.

In statistics, the term "linear model" has several meanings depending on the situation.

The water balloon is hurled from a height of 40 feet above, as can be seen from the linear model.

The balloon now ascends to a height of 70 feet before returning to ground due to gravity.

The balloon drops to the earth and makes a splash after about ten seconds.

Therefore, the balloon will remain at the ground for some more time.

As a result, according to the linear model, the balloon's height at time 15 seconds is always 0 feet.

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Answer:

70.6% decrease

Step-by-step explanation:

4250-1250 = 3000

4250x = 3000

x=70.6%

70.6% decrease

:]

We will simplify the complex expression shown below:

The simplification process is shown below >>>>

If we multiply out the denominator, we have:

The numerator is

The denominator is

Answer:

[tex]2\frac23[/tex]

Step-by-step explanation:

Hello!

Evaluate the function for -2/3, by plugging it in for x in the equation.

The evaluated value is [tex]2\frac23[/tex].

Answer:

Step-by-step explanation:

The absolute value of negative two third is really 2/3 but if your trying to reduce it to the lowest term its 0.66 or 0.67  However I would just put only 2/3 in the box, confidently knowing it would be scored correct.  

The linear equation perpendicular to 5x-4y=4 is:

y = (-4/5)*x + 42/5

We want to find a line perpendicular to:

5x - 4y = 4

Solving this for y, we get:

y = 4 - 5x

y = (4 - 5x)/-4 = -1 + (5/4)*x

We can see that the slope of this line is 5/4, the slope of a perpendicular line will be the inverse of the opposite, so we get:

slope = -4/5.

Then the line is something like:

y = (-4/5)*x + b

To find the value of b, we use the fact that the line passes through (-8, 2)

2 = (-4/5)*-8 + b

2 = (-32/5) + b

2 + 32/5 = b

10/5 + 32/5 = b

42/5 = b

The linear equation is:

y = (-4/5)*x + 42/5

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Answer: False, not possible.

The human was never meant to calculate or go beyond their fingers in search of great numbers, taking count for themselves, giving them names, appropriating. If you wanted to go higher for a laugh, it was called guessing. "Give me ZERO of this, give me 14,739,628,837 of that" are words that nobody says and words that stand behind delusion.

The only "anyone" to be counting their whole life is a divine. Keep math, numbers, and geometry sacred.

Answer:

11. (c) c and d

12. x = 109°

13. (b) 84

14. (c) 96

15. C

Step-by-step explanation:

11. Parallel means that if the lines continued on forever, the lines will never cross. They have the same slope.

12. x is an alternate exterior angle to the angle labeled 109°. this means that the angles are equivalent.

13. y is the last unknown angle in the triangle. The interior angles of a triangle always add up to 180°.  So 180° = 55° + 41° + y.

y = 180° - 55° - 41° = 84°

14. z is a supplementary angle to y, meaning that y + z = 180°.

180° - 84° = 96° = z

15. Lines d and c are parallel meaning they have the same slope, therefore if you know the slope of one, you know the slope of the other.