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motikmotik
3 years ago
11

Select ALL the answers that apply.

Mathematics
1 answer:
Xelga [282]3 years ago
5 0


the answer would be 1
You might be interested in
Use the properties of exponential and logarithmic functions to solve each system. Check your answers.
BlackZzzverrR [31]

The solved logarithmic function is 2x - y = e and x + y = 8 for log (2x - y) = 1 and log (x + y) = 3 log 2 respectively.

What is a logarithmic and exponential function?

Logarithmic functions and exponential functions are inverses of each other. The logarithmic function is denoted by using the word log while exponential by using the alphabet,  e. For example log 10 = 1 and e^2.

Solving the given expressions: log (2x - y) = 1 and log (x + y) = 3 log 2

Applying given properties of logarithmic and exponential function;

log a + log b = log (ab)

4 log x = log x⁴

e^(log x) = 1

e^(x + y) = (e^x) × (e^y)

Take expression, log (2x - y) = 1

Applying exponential on both sides, we get,

e^(log 2x - y) = e^1

2x - y = e

To Check Results,

Taking logarithm both sides,

log (2x - y) = log e

log (2x - y) = 1

Thus, the answer is verified.

Take expression, log (x + y) = 3 log 2

Applying exponential on both sides, we get,

e^(log (x + y) = e^(3 log 2)

x + y = e^(log 8)

x + y = 8

To Check Results,

Taking logarithm both sides,

log (x + y) = log 8

log (x + y) = 3 log 2

Thus, the answer is verified.

Hence, the solved expression is 2x - y = e and x + y = 8 for log (2x - y) = 1 and log (x + y) = 3 log 2 respectively.

To learn more about the logarithmic and exponential functions, visit here:

brainly.com/question/13473114

#SPJ4

3 0
1 year ago
What are the values of x and y?
tresset_1 [31]

Step-by-step explanation:

y is easy.

it is the Hypotenuse (baseline) of the small right-angled triangle created by the height (8) of the main triangle, the segment 6 of the main Hypotenuse and y.

so, Pythagoras :

y² = 8² + 6² = 64 + 36 = 100

y = 10

x is a bit more complex.

I think the easiest way to get it is to know that the height of a right-angled triangle to the Hypotenuse is the square root of the product of both segments of the Hypotenuse.

so, if we call the segments of the Hypotenuse a and b with a = 6, we have

x = a + b = 6 + b

height (8) = sqrt(a×b) = sqrt(6b)

therefore,

6b = height² = 8² = 64

b = 64/6 = 32/3 = 10 2/3 = 10.66666666...

so,

x = 6 + 10.66666... = 16.666666666...

round it to what is needed. e.g. 2 positions after the decimal point (hundredths) ? then it would be 10.67

6 0
3 years ago
The sum of two consecutive even numbers is eighteen.
Scilla [17]

Answer:

8 and 10

Step-by-step explanation:

8+10=18

Both are even, and consecutive

5 0
3 years ago
8x −13y = 16<br> I need help
bezimeni [28]
If you’re solving for Y it will be
Y=-16/13+8x/13
If you’re solving for X it will be
X=2+13y/8
4 0
3 years ago
Read 2 more answers
Bobbie spends $9.50 on a pack of bulk candy that contains 100 pieces. How much does each piece of candy cost? Round the
True [87]

I believe your answer should be $0.95

Of course, I could be wrong, and I apologise if I am.

5 0
3 years ago
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