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Illusion [34]
3 years ago
14

What is the solution of x+y=2 and 2x+5y=16

Mathematics
1 answer:
uysha [10]3 years ago
8 0
X+ y = 2....multiply by -2
2x + 5y = 16
--------------
-2x - 2y = -4 (result of multiplying by 2-)
2x + 5y = 16
-------------add
3y = 12
y = 12/3
y = 4

x + y = 2
x + 4 = 2
x = 2 - 4
x = -2

solution is (-2,4)

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How to use exponents instead of logs
PSYCHO15rus [73]

Answer:

Convert into same base

Step-by-step explanation:

Convert both sides into same bases and equate the powers to solve for the variable.

Example:

8^x = 32

You can either use logs to bring the power down or convert both sides into the same base

8 = 2³

8^x = (2³)^x = 2^(3x)

32 = 2⁵

2^(3x) = 2⁵

3x = 5

x = 5/3

x = 1⅔

3 0
3 years ago
Read 2 more answers
Write 17% as a decimal​
netineya [11]
0.17

yuh this is correct lol
5 0
3 years ago
The population of a town was 7652 in 2016. The population grows at a rate of 1.6% annually.
Serggg [28]

Answer:

(A) The population's growth rate in equation form is y = (0.016t * 7652) + 7652

(B)  y = (0.016t * 7652) + 7652 =

y = (0.016(8) * 7652) + 7652 =

y = (0.128 * 7652) + 7652 =

y = 979.456 + 7652 =

y = 8631.456 (Or About) 8631

Step-by-step explanation:

(A) Y = the total population of the town. 0.016 is 1.6% just in its original form. T = the year in which were trying to find the town's total population. 7652 is the total population of the town in 2016. With this information, the equation reads, The total population of the town (Y) is equal to 16% (0.016) of the current year's population (T) added to 2016's population of 7652. (This last sentence can also be read what is 1.6% of the towns population in the year were trying to find. Because the population is always growing, 1.6% gets multiplied as to scale with the total population in year T)

(B) We just substitute (T) for 2024, or 8 years after 2016 (2024-2016) and simplify the equation we made.

7 0
3 years ago
What are the zeros of the polynomial function y=2x^3-7x^2+2x+3?
zlopas [31]

y = 2 {x}^{3}  - 7 {x}^{2}  + 2x + 3

By inspection 1 is a root of y ,
Hence , (x-1) is a factor of y ,

\dfrac{2 {x}^{3} - 7 {x}^{2}  + 2x + 3 }{x - 1}  = 2 {x}^{2}  - 5x - 3 \\  \\ 2 {x}^{2}  - 5x - 3 = (2x + 1)(x - 3)

Hence , the 2 other roots are -1/2 and 3 , and the above graphs confirms the same.

Hope it helps you :)

7 0
3 years ago
Use the equation below to find T, if w=85, m= 12, and a=3.<br> T=w-ma<br> T = 3,060<br> X<br> ?
saw5 [17]

Answer:

T = 49

Step-by-step explanation:

T = w - ma

w = 85

m = 12

a = 3

Plug in the corresponding numbers to the corresponding variables:

T = (85) - (12) * (3)

Remember to follow PEMDAS. PEMDAS is the order of operations, and stands for:

Parenthesis

Exponents (& Roots)

Multiplications

Divisions

Additions

Subtractions

First, multiply, then subtract:

T = 85 - (12 * 3)

T = 85 - 36

T = 49

T = 49 is your answer.

~

6 0
2 years ago
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