Step-by-step explanation:
The given number is 7,594,000,000.
To convert it into scientific notation,
First move the decimal point places to the left to find a number that is greater than or equal to 1 and less than 10. Then multiply by 10 , using an exponent on 10 that equals the number of places you moved the decimal. The exponent is negative if the original no was <1 and the exponent is positive, if the original number was > 1.
In 7,594,000,000, we move the decimal point places to the left before 5. It means we have moved 9 digits left.
Hence, 
is the scientific notation.
Given the sequence:
6, 10, 14, 18,...
We will find the 75th term
The given sequence is an arithmetic sequence
Because there is a constant common differnce
d = 18 - 14 = 14 - 10 = 10 - 6 = 4
The first term = a = 6
The general formula of the arithmetic sequence is as follows:
Where: n is the nth term
To find the 75th term, substitute with n = 75 and a = 6, d = 4
So, the answer will be the 75th term = 302
Answer:x = 3
Step-by-step explanation:
X =9/3
X=3
Answer: y = - 4x + 2
Explanation:
The graph shows a linear function, which is a first degree polynomial, whose form is ax + b.
The rule or fucntion is f(x) = y = ax + b. This form is called the slope-intercept form, because the coefficient a is the slope of the line and b is the y-intercept.
The graph permits you to calculate both parameters.
1) The slope, a is defined in this way:
- a = rise / run = [change in y] / [change in x] = [y₂ -y₁] / [x₂ - x₁]
- you can use the points (0, - 2) and (-1,2):
⇒ a = [ 2 - (-2) ] / [ -1 - 0 ] = 4 / (-1) = - 4
2) b, the y-intercept, is the value of the function, y, when x = 0. In the graph you can see that this is - 2. b = - 2.
3) Substituting the values of a and b in the form y = ax + b, you the rule:
Answer:
$7.43
Step-by-step explanation:
f (fries) = 1.01
d (drinks) = 1.07
1.05f + 1.07d = ?
To solve this problem, you need to replace the variable with the amount of each item.
1.05(3) + 1.07(4) = ?
Now we can solve by multiplying and adding:
3.15 + 4.28 = ?
<u>7.43</u>
