Someone please help me I’m doing a test-

Mr. Peters is planning to buy a new house. His friends suggest that he find out the actual dimensions of the property. What shou

slamgirl [31]

I would say surface area or volume

4 0

3 years ago

Read 2 more answers

Evaluate each function at each of the four points.

Mumz [18]

Answer:

Step-by-step explanation:

All we have to do is input the given values of x into the functions.

The first function:

f(x) = x^2 - 5x - 6

f(0) = 0^2 - 5(0) - 6 = 0 - 0 - 6 = -6

f(0) = -6

f(2) = 2^2 - 5(2) - 6 = 4 - 10 - 6 = -12

f(2) = -12

f(-1) = -1^2 - 5(-1) - 6 = 1 + 6 - 6 = 1

f(-1) = 1

f(6) = 6^2 -5(6) - 6 = 36 - 30 - 6 = 0

f(6) = 0

The second function:

f(x) = x^3 - x^2 - 12

f(0) = 0^3 - 0^2 - 12 = 0 - 0 - 12 = -12

f(0) = -12

f(2) = 2^3 - 2^2 - 12 = 8 - 4 - 12 = -8

f(2) = -8

f(-1) = -1^3 - (-1)^2 - 12 = -1 - 1 - 12 = -14

f(-1) = -14

f(6) = 6^3 - 6^2 - 12 = 216 - 36 - 12 = 168

f(6) = 168

The third function:

f(x) = 5 * 2^x

f(0) = 5 * 2^0 = 5 * 1 = 5

f(0) = 5

f(2) = 5 * 2^2 = 5 * 4 = 20

f(2) = 20

f(-1) = 5 * 2^-1 = 5 * 0.5 = 2.5

f(-1) = 2.5

f(6) = 5 * 2^6 = 5 * 64 = 320

f(6) = 320

5 0

3 years ago

Given the following: P(A) =0.3 P(B) = 0.2 P(A OR B) = 0.5 P(A AND B) = 0 Which of the following is true?a. A and B are disjoint.

erastova [34]

Answer:

a. A and B are disjoint

Step-by-step explanation:

We know that P(A and B)=0, It means that event A and event B have nothing in common and it means that event A and event B are disjoints events.

The event A and event B are independent if

P( A and B)= P(A)*P(B)

P(A)*P(B)=0.3*0.2=0.06

So, P(A and B)≠P(A)*P(B)

Hence events A and B are not independent.

Option a is A and B are disjoints which is correct

Option b is A and B are neither disjoints nor independent which is partially false as A and B are disjoints event.

Option c states that A and B are independent which is clearly false.

Option d states that A and B are disjoints and independent which is partially false as A and B are not independent.

Hence the correct option is option A.

5 0

3 years ago

Elimination_4x_2y=14 _10x+7y=_24

Gnesinka [82]

Answer:

The answer is $x=-\frac{50}{8}$ and $y=\frac{11}{2}.$

Step-by-step explanation:

Given:

-4x-2y=14

-10x+7y=-24

Now, to solve it by elimination:

$-4x-2y=14$ ......(1)

$-10x+7y=-24$ ......(2)

So, we multiply the equation (1) by 7 we get:

$-28x-14y=98$

And, we multiply the equation (2) by 2 we get:

$-20x+14y=-48$

Now, adding both the new equations:

$-28x-14y+(-20x+14y)=98+(-48)$

$-28x-14y-20x+14y=98-48$

$-28x-20x-14y+14y=50$

$-8x=50$

Dividing both the sides by -8 we get:

$x=-\frac{50}{8}$

Now, putting the value of $x$ in equation (1):

$-4x-2y=14$

$-4(-\frac{50}{8})-2y=14$

$\frac{200}{8} -2y=14$

$25-2y=14$

Subtracting both sides by 25 we get:

$-2y=-11$

Dividing both sides by -2 we get:

$y=\frac{11}{2}$

Therefore, the answer is $x=-\frac{50}{8}$ and $y=\frac{11}{2}.$

5 0

3 years ago

The table below represents an exponential function what is the common ratio

Greeley [361]

Solution:

Given:

A table representing an exponential function.

The x-values represent the terms, while the y-values represent the numbers.

The common ratio is gotten from the numbers (y-values).

The formula for common ratio is given by;

$\begin{gathered} r=\frac{present\text{ term}}{preceed\text{ ing term}} \\ \\ \text{Hence,} \\ r=\frac{108}{36}=\frac{36}{12}=\frac{12}{4}=\frac{4}{1.33\ldots}=\frac{1.33\ldots.}{0.44\ldots} \\ r=3 \end{gathered}$

Therefore, the common ratio is 3.

3 0

1 year ago