Ten times the sum of negative four and a number. Write as an Algebraic expression then simplify

Find the slope of the line between (1,5) and (3,9)

Lorico [155]

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

m=(9-5)/(3-1)

m=4/2

m=2

6 0

3 years ago

Tacoma's population in 2000 was about 200 thousand, and has been growing by about 8% each year. If this continues, what will Tac

Anestetic [448]

Answer:

Tacoma's population in 2014 will be 587,439 people

Step-by-step explanation:

we know that

The equation of a exponential growth function is given by the formula

$y=a(1+r)^x$

where

y is Tacoma's population in thousand

x is the number of years since 2000

r is the rate of change

a is the initial value

we have

$a=200\\r=8\%=8/100=0.08$

substitute

$y=200(1+0.08)^x$

$y=200(1.08)^x$

what will Tacoma's population be in 2014?

Find the value of x

$x=2014-2000=14\ years$

substitute the value of x

$y=200(1.08)^{14}=587.439\ thousand$

therefore

Tacoma's population in 2014 will be 587,439 people

5 0

2 years ago

Approximately 9 out of every 50 people who saw a movie this week say they watched it on Netflix. Suppose we want to find the pro

uysha [10]

Answer:

1. As a fraction: 9/50

2. As a proportion: x/1 = 9/50

3. As a percentage: 18%

Explanation:

1. As a fraction:

Depart from the definition of probability: probability is the number of favoragle outcomes divided by the total number of possible outcomes:

Probability = number of movie-goers who say they watched a movie on Netflix this week / number of movie-goers that saw a movie this week

Probability = 9 / 50

2. As a proportion:

A proportion is the equality of two ratios. In this case you must set the ratio of people who say they watched it on Netflx, x, per every people who saw a movie this week, 1, equal to the ration 9 /50.

Hence, the proportion that shows the probability is:

x / 1 = 9 / 50

Where x is the probability.

3. As a percentage

You just have to multiply the probability by 100:

(9/50) × 100 = 18%

6 0

2 years ago

Question 5 of 8 2 Points Which values are solutions to the inequality below? Check all that apply. x2 > 10

Ket [755]

Answer:

4 and -4

Step-by-step explanation:

> means greater than

x² > 10

4² > 10 → True, 16 is greater than 10

-4² > 10 → True, 16 is greater than 10

8 0

3 years ago

PLEASE HELP ASAP!!! CORRECT ANSWERS FOR BOTH PART 1 AND 2 ONLY PLEASE!!!

professor190 [17]

1. Answer: Vertical shift up 3 units and vertical stretch by factor of 2

Step-by-step explanation:

f(x) = √x

g(x) = 2√x + 3

adding 3 is a vertical shift up 3 units
multiplying by 2 is a vertical stretch by factor of 2

2. Answer: Domain: [0, ∞)

Range: [3, ∞)

Step-by-step explanation:

g(x) = 2√x + 3

Domain: The restriction on "x" is that the radical must be greater than or equal to 0. So, x ≥ 0 Interval Notation: [0, ∞)

Range: Since the radical must be greater than or equal to 0, then 2√x is also greater than or equal to 0. Add 3 to that and y ≥ 3. Interval Notation: [3, ∞)

8 0

2 years ago