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3 years ago

Write the smaller solution first, and the larger solution second.

Mathematics

2 answers:

Lilit [14]3 years ago

6 0

Answer:

x = 3,x=4

Step-by-step explanation:

easy, make each parentheses equal to 0.

so (x-3) = 0

(2x-8) = 0

then now solve for x in each case

loris [4]3 years ago

4 0

Answer:

x = 3, x = 4

Step-by-step explanation:

Given

f(x) = (x - 3)(2x - 8)

To find the solutions let f(x) = 0, that is

(x - 3)(2x - 8) = 0

Equate each factor to zero and solve for x

x - 3 = 0 ⇒ x = 3

2x - 8 = 0 ⇒ 2x = 8 ⇒ x = 4

Thus

smaller solution x = 3

larger solution x = 4

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3 years ago

Read 2 more answers

Round the number 347500 to the nearest 1000

tatyana61 [14]

Answer:

348000

Step-by-step explanation:

The place you want to round to is the thousands place. The place to the right of that is the hundreds place. If the digit in the hundreds place is 5 or more (and it is), then the rounded number will have 1 added to its thousands digit.

After making that adjustment (if necessary), all digits to the right (hundreds, tens, ones, and so on) will be set to zero.

_____

<em>Comment on rounding</em>

Various rounding schemes are in use. The one described above is the one usually taught in school. In real life, it has the disadvantage that it can add a bias to a set of numbers, making their total come out higher than desired. In order to counter that, a "round to even" rule is sometimes used.

In this problem, that would mean the thousands digit would only be changed on the condition it would be changed to an even digit. (Here, that rule would give the same result. The number 346500 would be rounded down to 346000, for example.)

Various spreadsheets and computer programs implement different rounding schemes, depending on the application and the amount of bias that is tolerable. So, you may run across one that seems to be "wrong" according to what you learned in school.

6 0

4 years ago

SI on rs 5000 at 10percent for a certain period is rs 500 less then the interest on rs 6000 at 10 percent p.A for the same perio

svet-max [94.6K]

Answer:

The time period was of 5 years.

Step-by-step explanation:

The formula to compute the simple interest is:

$SI=\frac{P\times r\times t}{100}$

The information provided is as follows:

$P_{1}=5000\\\\r_{1}=10\%\\\\P_{2}=6000\\\\r_{2}=10\%\\\\SI_{1}=S_{2}-500$

The time period is same for both the amounts.

Compute the time t as follows:

$SI_{1}=SI_{2}-500$

$SI_{2}-SI_{1}=500$

$\frac{P_{1}\times r_{1}\times t}{100}-\frac{P_{2}\times r_{2}\times t}{100}=500$

$\frac{6000\times 10\times t}{100}-\frac{5000\times 10\times t}{100}=500\\\\$

$600t-500t=500\\\\$

$100t=500\\$

$t=5\ \text{years}$

Thus, the time period was of 5 years.

3 0

3 years ago

3x+1 = y 2x+3y = 14<br> please explain the steps if you can as well

Likurg_2 [28]

3x + 1 = y
2x + 3y = 14

To solve this system of equations, we are going to use the substitution method. Substitution the equation where the variable is isolated into the second equation. In this system of equations, y is isolated, so we will replace y in the second equation with 3x + 1.

2x + 3y = 14
2x + 3(3x + 1) = 14
2x + 9x + 3 = 14
We will add the like terms and subtract 3 from both sides of the equation.
11x + 3 = 14
11x = 11
x = 1
In this system of equations, x is equal to 1. Now we will go back and solve for y, plugging in 1 for x.
3(1) + 1 = y
2(1) + 3y = 14

3 + 1 = y
2 + 3y = 14

4 = y
3y = 2

4 = y
4 = y

The solution to this system of equations is (1, 4).

8 0

4 years ago