PLEASE HELP THIS IS DUE IN 8 MINUTES <br> find the value of x

Find the value of y that makes the equation y= 1/2x- 2 true when x=4 A. -4

olchik [2.2K]

Answer:

y = 0

Step-by-step explanation:

y =1/2(4)-2

y= 2-2

y=0

6 0

2 years ago

18x 24x greatest common factor

zzz [600]

18x and 24x.....GCF = 6x

4 0

2 years ago

A young couple purchases their first new home in 2011 for $95,000. They sell it to move into a bigger home in 2018 for $105,00

mart [117]

Given:

The value of home in 2011 is $95,000.

The value of home in 2018 is $105,000.

To find:

The exponential model for the value of the home.

Solution:

The general exponential model is

$y=ab^x$ ...(i)

where, a is initial value and b is growth factor.

Let 2011 is initial year and x be the number of years after 2011.

So, initial value of home is 95,000, i.e., a=95,000.

Put a=95000 in (i).

$y=95000b^x$ ...(ii)

The value of home in 2018 is $105,000. It means the value of y is 105000 at x=7.

$105000=95000b^7$

$\dfrac{105000}{95000}=b^7$

$\dfrac{21}{19}=b^7$

Taking 7th root on both sides, we get

$\left(\dfrac{21}{19}\right)^{\frac{1}{7}}=b$

Put $b=\left(\dfrac{21}{19}\right)^{\frac{1}{7}}$ in (ii).

$y=95000\left(\left(\dfrac{21}{19}\right)^{\frac{1}{7}}\right)^x$

$y=95000\left(\dfrac{21}{19}\right)^{\frac{x}{7}}$

Therefore, the required exponential model for the value of home is $y=95000\left(\dfrac{21}{19}\right)^{\frac{x}{7}}$ , where x is the number of years after 2011.

5 0

2 years ago

The probability that a vehicle will change lanes while making a turn is 45%. Suppose a random sample of 7 vehicles are observed

Ksenya-84 [330]

Answer:

0.1529

Step-by-step explanation:

Given that:

Probability of changing lane ; p = 45% = 0.45

Sample size (number of trials) = n = 7

Probability that atleast 5 vehicles will change lane :

Using the binomial probability formula :

P(x = x) = nCx * p^x * (1 - p)^(n-x)

(1 - p) = 1 - 0.45 = 0.55

P(x ≥ 5) = p(x = 5) + p(x = 6) + p(x = 7)

P(x = 5) = 7C5 * 0.45^5 * 0.55^2

P(x = 5) = 21 * 0.45^5 * 0.55^2 = 0.117221

P(x = 6) = 7C6 * 0.45^6 * 0.55^1

P(x = 6) = 7 * 0.45^6 * 0.55^1 = 0.031969

P(x = 7) = 7C7 * 0.45^7 * 0.55^0

P(x = 7) = 1 * 0.45^7 * 0.55^0 = 0.003736

P(x ≥ 5) = p(x = 5) + p(x = 6) + p(x = 7)

P(x ≥ 5) = 0.117221 + 0.031969 + 0.003736

P(x ≥ 5) = 0.152926

P(x ≥ 5) = 0.1529

6 0

2 years ago

How to graph y is less than or equal to -0.7x+9

Andrej [43]

Simplify the expression, when adding or subtracting zero, the equation does not change -0.7 X +9 you remove the 0. but if you wanted to factor the expression you would have to convert the decimal number into a fraction zero -7/10 X +9 when adding or subtracting 0, the quality does not change -7/10 X +9 factor out of 1/10 form the expression 1/10 X (90-7X) or another way of writing it , 0.1 (90-7x)

4 0

2 years ago

PLEASE HELP THIS IS DUE IN 8 MINUTES find the value of x