MATHEMATICS HIGH SCHOOL

Which of the expressions are equivalent to the one below? Check all that apply.12 (16 + 4)

A. (12 16) + 4

B. (16 + 4) 12

C. 12 * 16 + 12 4

D. 12 (4 + 16)

Answers

Answer 1
Answer: D and a because they both dont change the answer and b 

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The number 78 is divisible by 2 and 3.

True
False

Answers

True, the number 78 is divisible by both 2 and 3.


78/2 = 39

78/3 = 26
2) 78 (38                            3) 78 (26
   -6                                       -6
  ____                                   ____
    18                                       18
   -18                                      -18
  ____                                   _____
      0                                         0

True, 78 is divisible by 2 and 3.

There are three questions, and three choices of answers (A,B and C) for each question. Given that only one of the possible choices (A,B and C) is correct for each question, state the probability that the student guesses:Q1: 1 correct answer. Q2: 2 correct answer
Q3: 3 correct answer. Q4: 0 correct answer

Please use tree diagram to explain.

Answers

q2—_-___-_-__—-__-_-_-___—-__-__—-__-_

A function is created to represent the amount of money in your checking account. What restrictions would be made to the range?A. The range would include all real numbers.
B. The range would only include positive integers.
C. The range would only include positive numbers.
D. The range would only include integers.

Answers

A Range of a function is defined as the set of All the output values. If a function is created to represent the amount of money in your checking account then the range will represent the amount that you have in your account at the current time.

The output of this function can be positive, negative or zero. If you draw more amount that you have in your account, than you have overdrawn the your account balance will show up as negative. 

If you have zero balance in your account, then the function have the value 0.

And in case of positive balance, the function will return a positive range. 

So, could include all Real numbers. The answer is real numbers and not integers because the account balance can also be in decimals.

Therefore, option A gives the correct answer.
The range of a certain function or a certain situation is that which includes all the reasonable numbers that may be included as answer to the given. A checking account balance can assume values that are from 0 to positive infinity, depending on the deposits and does not necessarily have to be only integers. The answer to this item therefore should be letter C.

Solve for b if 7+16b=29+5b

Answers

7 + 16b = 29 + 5b

Keep the variables on one side

16b - 5b = 29 - 7

11b = 22

Divide by 11 isolate b:

(11b)/(11) = (22)/(11)
11 and 11 cancels out

b = 2

check:
7 + 16(2) = 29 + 5(2)
7 + 32 = 29 + 10
39 = 39

What is an equation of the line that passes through (0,8) and (4,0)?

Answers

Answer: y=-2x+8

Step-by-step explanation:

To find the slope of the line, you would use (y_(2)-y_(1) )/(x_(2) -x_(1) ). With the 2 points we are given , we can plug it into this equation to find the slope.

(0-8)/(4-0) =(-8)/(4) =-2

Now we know the slope is -2. To find the y-intercept, we know that the x value is 0. We are given that one of the points is (0,8). That means 8 is our y-intercept.

The final equation we get is y=-2x+8.

Answer:

y= -2×+8

Step-by-step explanation:

find m(slope)

y2-y1 over x2-x1

substitute using (0,8) and (4,0)

m=-2

y=mx+b

substitute x and y to find b using either (0,8) or (4,0)

0=-2(4) + b

0= -8 +b

0+8= -8+8 +b

8=b

y=-2x+8

Solve the system using any method:
y = x - 3
y = 7x + 3

Answers

Answer:

x=-1, y=-4

Step-by-step explanation:

For this question, you can replace y in one equation with the second one.

This means x-3=7x+3.

From there, you subtract x from each side, giving -3=6x+3.

Subtracting 3from each side makes it -6=6x.

Dividing both sides by 6 leaves x isolated, with a result of x=-1.

You can substitute the value of x into either equation to work out y. I'm using the first one, as it has smaller numbers.

This equation is now y=-1-3, which can be solved for y=-4.

**This content involves simultaneous equations, which you may wish to revise. I'm always happy to help!
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