MATHEMATICS HIGH SCHOOL

P^2-4p-32/p+4A. –p + 8; p ≠ –4
B. p – 8; p ≠ –4
C. –p – 8; p ≠ –4
D. p + 8; p ≠ –4

Answers

Answer 1
Answer: The answer is B. p – 8; p ≠ –4

The expression is: ( p^(2)-4p-32)/(p+4)
Since the the divisor cannot be zero, that means that p+4 cannot be zero:
p + 4 ≠ 0
⇒ p ≠ -4

Let's simplify this expression:
( p^(2)-4p-32)/(p+4) = ( (p+4)(p-8))/(p+4)

Now, cancel out (p+4) and you will get:
( (p+4)(p-8))/(p+4) = p-8
Answer 2
Answer: p^2-4p-32=(p-8)(p+4)

(p^2-4p-32)/(p+4)= ((p-8)(p+4))/(p+4)=p-8
and p must not be equal to -4


B is answer

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During her first year of college, Sara put $2000 in the bank to save for a trip to Italy after graduation. The money earned 3% simple annual interest. After 4 years, how much money did she have in the bank for her trip?

Answers

Answer:

2,240

Step-by-step explanation:

Sara will have US$ 2,251.02 in the bank after 4 years for her trip to Italy.

Step-by-step explanation:

1. Let's review the data given to us for solving the question:

Investment of Sara during her 1st year of college = US$ 2,000

Duration of the investment = 4 years

Annual interest rate = 3%

2. Let's find the future value of this investment after 4 years, using the following formula:

FV = PV * (1 + r) ⁿ

PV = Investment of Sara during her 1st year of college = US$ 2,000

number of periods (n) = 4

rate (r) = 3% = 0.03

Replacing with the real values, we have:

FV = 2,000 * (1 + 0.03) ⁴

FV = 2,000 * (1.03) ⁴

FV = 2,000 * 1.12550881

FV = 2,251.02

Sara will have US$ 2,251.02 in the bank after 4 years for her trip to Italy. Later you round the answer and that gives you 2,240

plz mark me brainliest

a lotStep-by-step explanation:

A jar contains 7 blue cubes,4 blue spheres, 5 green cubes, and 6 green spheres. If you select an object at random, what is the probability that the object is green or a cube?

Answers

The answer is 9/11.

The addition rule is used to calculate the probability of one of the events from multiple pathways. If you want that only one of the events happens, you will use the addition rule. So, we need to calculate the probability of  two different events - the one is that the object is green, and the other is that the object is a cube.
1. The probability that the object is green:
There are 22 objects in total (7 blue cubes + 4 blue spheres + 5 green cubes + 6 green spheres = 22 objects).
There are 11 green objects (5 green cubes + 6 green spheres = 11 green objects).
So, there are 11 green objects out of 22 objects. Therefore, the probability that the object is green is 11/22.

2. The probability that the object is the cube:
There are 22 objects in total (7 blue cubes + 4 blue spheres + 5 green cubes + 6 green spheres = 22 objects).
There are 12 cube objects (7 blue cubes + 5 green cubes).
So, there are 12 cube objects out of 22 objects. Therefore, the probability that the object is green is 12/22.

Now, using the addition rule, we could calculate the probability that the object is green or a cube:
11/22 + 12/22 = 23/22
But, we counted 5 green cubes in both events and need to subtract them:
23/22 - 5/22 = 18/22 = 9/11

Probability of Multiple Events

1. d. taking 2 marbles from a box...

2. b. 0.1804

3. c. rolling an even number...

4. c. 42%

5. c. 9/11

Find the value of x.log 3 x = 4

A.) 7
B.) 12
C.) 27
D.) 81

Answers

Hello from MrBillDoesMath!

Answer:

Choice D, 81

Discussion:

By log 3x = 4 I presume that "3" is the base not a multiplier of x. Assuming it is the base, then the equation is equivalent to

x = 3^4

  = 81

This is Choice D.


Thank you,

MrB

Answer:

it's D

Step-by-step explanation:

i did the test

What two numbers multiply to 108 and add to -39?

Answers

negative 36 and negative 3

A line has slope –5(over)3 . Through which two points could this line pass? (1 point)(12, 13), (17, 10)
(16, 15), (13, 10)
(0, 7), (3, 10)
(11, 13), (8, 18)

Answers

The points of the line that has a slope of -5 over 3 is (11,13) (8, 18). This can be computed using the formula of finding the slope of a line which m = y2-y2 over x2-x1. This is computed as follows:

m = 18-13 over 8 - 11
m= 5 over -3 or simplified to m= -5 over 3

Answer: Rate of Change and Slope Quick Check

C. -1/3

D. (11,13) (8,18)

B. -2

D. Undefined

D. 55/1

Step-by-step explanation:

Solve the triangle.B = 73°, b = 15, c = 8
Select one:
a. C = 35.9°, A = 71.3°, a ≈ 15.2
b. C = 30.7°, A = 76.3°, a ≈ 15.2
c. C = 30.7°, A = 76.3°, a ≈ 21.3
d. Cannot be solved

Answers

Using the sine law of triangles to solve for angle C:

b / sin B = c / sin C

C = arcsin (c * sin B / b)
C = 30.7°

Since interior angles of a triangle always add up to 180°, we can use this to solve for angle A:

angle A = 180° - 73° - 30.7°
angle A = 76.3°

Having solved for angle A, we can solve for side a using the sine law.

a / sin A = b / sin B

a = b * sin A / sin B
a = 15.2

Therefore, the correct answer is B.
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