MATHEMATICS HIGH SCHOOL

Solve the equation:
3x – 8 = 14 - 8x

Answers

Answer 1
Answer:

Answer:

x=2

Step-by-step explanation: by using a caluclator

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We found that Juan’s investment account can be modeled by the function, c(x) = 7x2 - 6x + 5, in thousands of dollars. What was Juan’s initial investment?$5
$10
$5,000
$10,000

Answers

Answer:

Option (a) is correct.

The Juan’s initial investment is $ 5

Step-by-step explanation:

Given : Juan’s investment account can be modeled by the function,c(x)=7x^2-6x+5, in thousands of dollars.                        

We have to find the  Juan’s initial investment.

Since,  Juan’s investment is modeled by function

c(x)=7x^2-6x+5

Since initial investment is when he start the investment and is given by when

x = 0

Thus,  c(0)=7(0)^2-6(0)+5

Simplify , we get,

c(0) = 5

Thus, the Juan’s initial investment is $ 5
initial investment was when x=0, when no change had occured

c(0)=7(0)^2-6(0)+5
c(0)=5

this is in thousands
5*1000=5000
answer is $5000 is initial

Find the value of a²-b² when a-b=3 and a+b=4​

Answers

Answer:

12

{x}^(2) - {y}^(2) = (x - y) * (x + y) = 3 * 4 = 12

During his tennis career in singles​ play, John won 4 fewer tournament A titles than tournament B titles and 2 more tournament C titles than tournament B titles. If he won 13 of these titles​ total, how many times did he win each​ one?

Answers

A-4=B
2+C=B
A+B+C=13

A=b+4
C=B-2
Plug in to equation 3
(B+4)+B+(B-2)=13
Rearrange
B=11/3
A=(11/3)+4= 23/3
C=(11/4)-2= 3/4

A certain microscope is able to magnify an object up to 100,000 times its original size. In scientific notation, 100,000 is _____.

Answers

Answer: In scientific notation, 100,000 is 1.0*10^5

Step-by-step explanation:

We know that the scientific notation is a technique to describe a very large or a very small number in the product of a decimal form of number [generally between 1 and 10] and powers of ten.

The given number = 100,000

Here the number of zeroes = 5

Then, in scientific notation, 100,000 =1.0*10^5
shift 5 decimal places to the left, so the exponent for base 10 is 5. Therefore, the number in scientific notation is: 
1.0 x 105

At a 25% off sale, a shirt cost $36.00. what was the regular price of the shirt?

Answers

36.00 / 75% = 0.48

0.48 x 100% =$48.00
Since the shirt is 75% of the regular price you would divide 36/75 which gives you .48 and then you times that by 100 which equals 
48 dollars

Check by divisibility test the number 26458900 is divisible by 11 and 4.

Answers

Answer:

steps below

Step-by-step explanation:

26458900 ... sum of odd digits 2+4+8+0=14   ...(1)

                      sum of even digits 6+5+9=20   ...(2)

(2)-(1): 20-14=6      Not multiple of 11, nor 0

conclusion: Not divisible by 11

26458900 ... last 2 digits is "00", 00 or #00 are divisible by 4

conclusion: divisible by 4
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