Equivalent of fractions using decimals
Answer:
B
Step-by-step explanation:
y= -x+18 and y= 3/4x+4
use slope intercept form: y=mx+b
m = slope
b = y-intercept
Answer
• A. Equation: 25(5 + x) = 325
,
• B. Answer: 8 dogs
Explanation
Given
• Charge to wash a dog: $25.
• She washed 5 dogs on Saturday and then some more on Sunday.
• She made $325 for the weekend.
Procedure
She charges $25 per wash, she made $325 for the weekend, and we know that on Saturday she washed 5 dogs, but we don't know how many she washed on Sunday. Thus, we have to build an equation in which the number of dogs washed on Sunday is represented by x (as we do not know the real number).
Considering that the total money made has to be equal to the multiplication of the charge times the dogs washed, the equation is:

Then, we have to solve for x to know how many dogs did she wash on Sunday.
0. Multiplying the parenthesis

<em>2. Subtracting 125 from both sides of the equation</em>


<em>3. Dividing both sides of the equation against 25</em>

Answer:
Diverge
Step-by-step explanation:
(a)
1st year: 
2nd year: 
3rd year: 
4th year: 
5th year: 
(b) The sequence is divergent, because if we take the derivative of the function with respect to n year:

This is a positive, meaning the slope of the function is positive. If we take the second derivative using product rule

This is also positive when n > 0. Therefore, the slope is positive and increasing. This means the sequence diverges.
Answer: 32 and 42
Step-by-step explanation:
5j +12
j= 4
j = 6
5(4) + 12
5 times 4 = 20
20 + 12 = 32
5(6) + 12
5 times 6 = 30
30 + 12 = 42