Answer:
x = -7/9
Step-by-step explanation:
The usual recommendation is to clear fractions first. Here, you can do that by multiplying both sides of the equation by 6.
6(-1/2(3x -4) +3x) = 6(5/6)
-9x +12 +18x = 5 . . . . . . . . . simplify
9x = -7 . . . . . . . . . . . . . . . . . subtract 12
x = -7/9 . . . . . .divide by 9
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Another way to do this is to eliminate parentheses first.
-3/2x +2 +3x = 5/6
3/2x = -7/6 . . . . . . . . . collect terms, subtract 2
x = (-7/6)(2/3) = -7/9 . . . . multiply by 2/3
0.0394736842 is the answer
Write 76 <span>)¯3¯¯
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add a 0 next to the 3 ( you will have 30) then on top of the divison bar put a "." one space over the 3 so like
0.
76<span>)¯30¯¯ (lol)
since 76 still cant go into the 3 add another 0 to the 30 ( so you should now have 300) and a 0 next to the "." so you have 0.0 on top.
76 goes into 300 3 times wich is with a reminder of 72. (76x 300 is 228)
write a 3 next to the 0.0 so you have 0.03
write 228 under the 300
subtract. you get 72
write the 72
since 76 cant go into 72 add a 0 to the 300. Drop the 0 to the 72 so you have 720.
I think you can figure out the rest. If not tellme and I will do the next step and you can take it from there
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Total kicks that were attempted = 40
Goals blocked by Kyra = 55%;
Goals which could not be blocked by Kyra = 100 - 55 = 45%
Goals made during team drill = 18
Let total kicks attempted be 'n';
Therefore;
(18/n) × 100 % = 45 %
18/n = 45/100;
n = 1800/45;
n = 40
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By using a scatter plot we can get the relationship of two variables or correlation.
There will be two types of correlation.
If the data of the plot show a positive slope of the estimated line then it will be a positive correlation.
Now a correlation value lie between 0 to 1 if it is very close to 0 like 0.1 , 0.2 then we can say the correlation is weak psitively correlated. and if it will be close to 1 like 0.8 or 0.9 then the correlation will be strong.
Similarly if slope of the estimated line will be negative then it will be a negative correlation.
From the above scatter plot notice that it has a negative slope and we can draw a fair estimate line on this scatter plot. So, there is strong negative correlation.
Hence the correct choice is -0.8.
Answer:
f(g(x)) = 15x + 2
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Distributive Property
<u>Algebra I</u>
- Functions
- Function Notation
- Composite Functions
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
f(x) = 5x + 7
g(x) = 3x - 1
<u>Step 2: Find</u>
- Substitute in functions: f(g(x)) = 5(3x - 1) + 7
- [Distributive Property] Distribute 5: f(g(x)) = 15x - 5 + 7
- [Addition] Combine like terms: f(g(x)) = 15x + 2