Answer:
Step-by-step explanation:
A quadratic equation is given to us and we need to solve the equation using the quadratic formula . The given equation is ,
Open the brackets in RHS ,
Transpose all the terms to LHS ,
The general form of a quadratic equation is ax² + bx + c = 0 , and the roots of the equation by the Quadratic Formula ( Shreedhacharya's Formula ) is given by ,
Using the quadratic formula , we have ,
Simplify ,
Answer:
g(x)=log(x+4)
Step-by-step explanation:
Here the parent function is f(x)=log x. The function has y intercept as 0 at x=1 .
If we observe the translated function we will observe that , the y intercept of new function is 0 at x=-3. Hence the function is moving ahead of the parent function by 4 units and reaches the y intercept being 0.
If we graph
g(X)= log X
the y intercept will be at (1,0)
X = 1 , Y =0
at X=1 , x = -3 or x = X-4
or X=x+4
Hence
new function will be g(x)=log ( x+4)
Answer:
1.) (11, -7/3), 2.) No solution. 3.) (1, 3)
Step-by-step explanation:
1.)
2x + 3y = 15
x - 3y = 18
Solve...use elimination method
2x + x + 3y - 3y = 15 + 18
3x = 33
x =11
11 - 3y = 18
-3y = 7
y = -7/3
(11, -7/3)
---------------------------------------
2.) y = 4x + 4
y = 4x - 4
Use substitution.
4x + 4 = 4x - 4
4 = -4 FALSE NO Solution
3.) y = 5- 2x
4x + 3y = 13
Can use elimination method
2y = 10 - 4x
add it to 4x + 3y = 13
10 + 3y = 2y + 13
y = 3
3 = 5 - 2x
x = 1
(1, 3)
Answer:
$11.10
Step-by-step explanation:
1 small package = $2.40
1 large package = $2.90
1 small package + 3 large packages.
2.40 + (3 × 2.90)
=2.40 + 8.70
=11.1
<h3>Answer:</h3>
- the result in scientific notation is 6.561×10⁻⁷
- the result as a decimal is 0.000 000 656 1
<h3>Explanation:</h3>
The rules of exponents say the exponent outside parentheses applies to each factor inside parentheses.
... (8.1*10^-4)^2 = 8.1^2 × (10^-4)^2
... = 65.61 × 10^-8
... = 6.561 × 10^-7 . . . . adjust to scientific notation with one digit left of the decimal point
The exponent of -7 means the decimal point in the decimal number is 7 places to the left of where it is in scientific notation. That is ...
... 6.561 × 10^-7 = 0.0000006561