Solve the following equation for x. 11/10 -(5x-3)=1/4x-12

A house on the market was valued at $245,000. After several years, the value increased by 9%. By how much did the house's value

aniked [119]

We are given that a house had a value of $245000 and its value was increased by 9%. To determine how much is this value increase in dollars we need to multiply the value of the house by 9/100. We get this:

$245000\times\frac{9}{100}=22050$

Therefore, the increase in dollars is $22050. Now, to determine the current value we need to add the increase to the previous value, we get:

$245000+22050=267050$

Therefore, the current value of the house is $267050.

6 0

11 months ago

Questions are in the picture

gtnhenbr [62]

The closest point is (3.5, 1.9) and the distance is 1.96 units

<h3>How to determine the point and the distance?</h3>

The coordinate is given as:

(4, 0)

The equation of the function is

y = √x

The distance between two points is calculated using

d = √(x2 - x1)^2 + (y2 - y1)^2

So, we have the following points

(x1, y1) = (4, 0) and (x2, y2) = (x, 0)

This gives

d = √(x - 4)^2 + (√x - 0)^2

Evaluate the difference

d = √(x - 4)^2 + (√x)^2

Evaluate the exponent

d = √x^2 - 8x + 16 + x

Evaluate the like terms

d = √x^2 - 7x + 16

Next, we differentiate using a graphing calculator

d' = (2x - 7)/[2√(x^2 - 7x + 16)]

Set to 0

(2x - 7)/[2√(x^2 - 7x + 16)] = 0

Cross multiply

2x - 7 = 0

Add 7 to both sides

2x = 7

Divide by 2

x = 3.5

So, we have:

Substitute x = 3.5 in y = √x

y = √3.5

Evaluate

y = 1.9

So, the point is (3.5, 1.9)

The distance is then calculated as:

d = √(x2 - x1)^2 + (y2 - y1)^2

This gives

d = √(3.5 - 4)^2 + (1.9 - 0)^2

Evaluate

d = 1.96

Hence, the closest point is (3.5, 1.9) and the distance is 1.96 units

Read more about distance at:

brainly.com/question/23848540

#SPJ1

3 0

1 year ago

How do you distinguish between multiples and factors of a number, and justify your evaluation of the LCM & GCF of a set of n

Reil [10]

Answer:

Look to the explanation

Step-by-step explanation:

- Multiples of a number are the numbers after multiplying the number

by an integer

- Ex: The multiples of 2 are 2 , 4 , 6 , 8 , .......... because 2 × 1 = 2 ,

2 × 4 = 4 , 2 × 3 = 6 and 2 × 4 = 8

- Factors of a number are the number multiplied together to get the

number

- Ex: The factors of 6 are 1 , 2 , 3 , 6 because 1 × 6 = 6 and 2 × 3 = 6

- Lowest common multiple of the set of numbers (LCM) is the

smallest number divisible by these numbers

- Ex: The lowest common multiple of 2 and 3 is 6 because 6 is divisible

by 2 and 3 and there is no number before it divisible by both

- Greatest common factor of the set of numbers (GCF) is the highest

common factor of these numbers

- Ex: The greatest common factor of 12 and 18 is 6 because

→ The factors of 12 are 1 , 2 , 3, 4, 6, 12

→ The factors of 18 are 1 , 2 , 3 , 6 , 9 , 18

→ The greatest common factor on both numbers is 6

3 0

3 years ago

Sara found that the older person is, fewer cartoons that person watches.

Misha Larkins [42]

Answer:

B

Step-by-step explanation:

The scatter graph shows a decreasing correlation.

Its not A because it's a increasing correlation

its not C because it's neutral

its not D because it's a no correlation graph

4 0

2 years ago

9. The equation y = x2 - 1 is

SashulF [63]

It depends on whether or not you have written the question correctly. If the 2 is an exponent, it needs to be preceded by a ^. Otherwise, it is considered a multiplier.
x^2 = x²
x2 = x⋅2

y = x²-1 is nonlinear and nonproportional.

3 0

3 years ago