Complete the table to find the mean

Select all the ordered pairs that are solutions to the equation 5x + 2y = -8

Archy [21]

Answer: (1,-2) (0,-4) (-4,0)

Step-by-step explanation:

3 0

3 years ago

Find all x-intercepts and y-intercepts of the graph of the function. F(x)=x³-4x² - 4x + 16

Lady bird [3.3K]

Answer: (0;16) (4;0) (2;0) (-2;0).

Step-by-step explanation:

Y-intercepts of the graph of the function F(x)=x³-4x² - 4x + 16:

$x=0\\F(x)=0^3-4*0^2-4*0+16\\F(x)=16.\\Hence,\ (0;16).$

X-intercepts of the graph of the function F(x)=x³-4x² - 4x + 16:

$F(x)=0\\0=x^3-4x^2-4x+16\\0=(x^3-4x^2)-(4x+16)\\0=x^2*(x-4)-4*(x-4)\\0=(x-4)*(x^2-4)\\0=(x-4)*(x^2-2^2)\\0=(x-4)*(x-2)*(x+2)\\x-4=0\\x_1=4.\\Hence,\ (4;0)\\x-2=0\\x_2=2.\\Hence,\ (2;0)\\x+2=0\\x_3=-2.\\Hence,\ (-2;0).$

8 0

1 year ago

ASAP HELP ME!! PLEASE SHOW WORK AND CORRECT Answers!!! (JUST THE 1st ONE! And the answer I circled is wrong)

kumpel [21]

The awnser is 96 because you would chose the one bigger or you wouldn't chose the one smaller so choose a medium number 96

6 0

3 years ago

Read 2 more answers

What is the probability that a point chosen at random in the given figure will be inside the larger square and outside the small

liraira [26]

Answer:

51/100

Step-by-step explanation:

The probability that a point chosen at random in the given figure will be inside the larger square and outside the smaller square is equal to the ratio of the area of interest to the total area:

P(inside larger square and outside smaller square) = area of interest / total area

P(inside larger square and outside smaller square) = area inside the larger square and outside the smaller square / area of the larger square

Calculations:

1. Area inside the larger square: side² = (10 cm)² = 100 cm²

2. Area inside the smaller square = side² = (7cm)² = 49 cm²

3. Area inside the larger square and outside the smaller square

100 cm² - 49 cm² = 51 cm²

4. P (inside larger square and outside smaller squere)

51 cm² / 100 cm² = 51/100

5 0

3 years ago

50 POINTS!! Pleasee helppppp!!! A scientific journal recently reported that there are currently 2400 black rhinos in the world t

Harman [31]

Answer:

C

Step-by-step explanation:

So, we started out with 2,400 black rhinos.

And we know that they are declining at a rate of 10% per year.

In other words, each subsequent year will only have 90% of the previous year's rhinos.

Therefore, our function is:

$f(x)=2400(.9)^x$

We can do some elimination first.

First, the starting point or y-intercept must be 2400 since that's the number of rhinos we started out with.

Therefore, we can eliminate A and D.

From the remaining choices B or C, we can technically also eliminate B. This is because from our function, we know it's exponential decay, and exponential decay is not a straight line.

However, to double check, let's check the population after 10 years using our function. So:

$f(10)=2400(.9)^{10}$

Use a calculator:

$f(10)\approx837$

So, after 10 years, the population should be around 840.

B is definitely not 840 (at x=10). However, C is right around it.

Therefore, we can conclude that C is the right answer.

And we're done!

6 0

3 years ago