All categories

3 years ago

Find the value of two numbers if their sum is 78 and their difference is 22.

1 answer:

3 0

X+y=78
x-y=22
Make x the subject
22+y=x
substitute in 1st equation
(22+y)+y=78
22+2y=78
y=28
place 28 in any equation
x-(28)=22
x=50
therefore one value is 28 and the other is 50
Hope this helps

You might be interested in

What is a negative minus a negative

Rainbow [258]

Answer:

It would be a negative or positive depending on the situation.

Step-by-step explanation:

A negative minus a negative would result in either a positive or negative. For example, -8 - (-9) would be 1 while -8 - (-7) would be -1. If the negative number your subtracting is greater than the number you're subtracting from then it will be positive, vice versa.

3 0

2 years ago

The price of products may increase due to inflation and decrease due to depreciation. Marco is studying the change in the price

likoan [24]

Answer:

A) 3%

B) Product A

Step-by-step explanation:

Exponential Function

General form of an exponential function: $y=ab^x$

where:

a is the initial value (y-intercept)
b is the base (growth/decay factor) in decimal form
x is the independent variable
y is the dependent variable

If b > 1 then it is an increasing function

If 0 < b < 1 then it is a decreasing function

Part A

Product A

Assuming the function for Product A is exponential:

$f(x) = 0.69(1.03)^x$

The base (b) is 1.03. As b > 1 then it is an increasing function.

To calculate the percentage increase/decrease, subtract 1 from the base:

⇒ 1.03 - 1 = 0.03 = 3%

Therefore, product A is increasing by 3% each year.

Part B

$\sf percentage\:change=\dfrac{final\:value-initial\:value}{initial\:value} \times 100$

To calculate the percentage change in Product B, use the percentage change formula with two consecutive values of f(t) from the given table:

$\implies \sf percentage\:change=\dfrac{10201-10100}{10100}\times 100=1\%$

Check using different two consecutive values of f(t):

$\implies \sf percentage\:change=\dfrac{10303.01-10201}{10201}\times 100=1\%$

Therefore, as 3% > 1%, Product A recorded a greater percentage change in price over the previous year.

Although the question has not asked, we can use the given information to easily create an exponential function for Product B.

Given:

a = 10,100
b = 1.01
n = t - 1 (as the initial value is for t = 1 not t = 0)

$\implies f(t) = 10100(1.01)^{t-1}$

To check this, substitute the values of t for 1 through 4 into the found function:

$\implies f(1) = 10100(1.01)^{1-1}=10100$

$\implies f(2) = 10100(1.01)^{2-1}=10201$

$\implies f(3) = 10100(1.01)^{3-1}=10303.01$

$\implies f(4) = 10100(1.01)^{4-1}=10406.04$

As these values match the values in the given table, this confirms that the found function for Product B is correct and that Product B increases by 1% per year.

4 0

2 years ago

15.3+x=1.3-x so how do I solve it

anzhelika [568]

Answer:

-7

Step-by-step explanation:

Let's try getting rid of the numbers to isolate the x.

Add x on both sides to get rid of the x on the right side and to get 2x on the left side. This leaves us with 15.3 + 2x = 1.3

Subtract 15.3 on both sides to get rid of the 15.3 on the left side.

This would leave us with 2x = -14

Divide 2 on both sides to isolate the x.

The answer is x = -7

3 0

3 years ago

Read 2 more answers

B Find the class that contains the median. c Find the modal class.

Alex_Xolod [135]

Answer:

can you add a paper or more info to answer

Step-by-step explanation:

5 0

3 years ago

Hurry only 5 minutes to answer!!!!!!!!!!!!!1111

xz_007 [3.2K]

Answer:

-12, -3/4, -0.4, 0.4, 3/4, 8

Step-by-step explanation:

3 0

3 years ago