Answer:
3 blankets were put in the puppy kennels.
Step-by-step explanation:
1110/27=41r3
remaining 3 are put in puppy kennels, 41 puppy blankets end up in each of the 27 boxes
Mixed numbers are basically sometimes a sign of division. You need to turn the mixed number into an improper fraction.
Steps:
Multiply the whole number by the denominator of the fraction and then add that product to the numerator. Leave the denominator as it is before.
Example:
2 1/4
2x4=8
8+1= 9
Answer: 9/4
Then you can divide!
Olivia applied the scale factor to the measurements of the model she saw. We need to know those in order to calculate the new ones.
<span>Associative Property.
(18x2)x5=18x(2x5)
All you have to do is move the parentheses but keep the numbers the same.</span>
Answer:
x-intercepts = 1,2, and 4, y-intercept = -8
Step-by-step explanation:
x^3 - 7x^2 - 14x - 8 in factored form is equal to (x-1)(x-2)(x-4).
Solving for x-intercepts:
- We are actually able to solve for all x-intercepts without the given factor. But since we are given one of the factors, our job becomes much easier.
- Using synthetic division, or long division, we factor out the x-intercept 4. Which leaves us with the polynomial x^2 - 3x + 2.
- From here we can separate the polynomial into two binomials.
- x^2 - 3x + 2 = (x-1)(x-2). Giving us all 3 x-intercepts.
- Using Descartes' rules we can identify before even starting the problem how many real x-intercepts there are (Not needed for this problem).
Solving for y-intercept:
- The y-intercept is always the coefficient that does not have any assigned x-variables.
- The coefficient is -8, thus the y-intercept.
- If unsure of the y-intercept, you can always plug in x = 0. Solving for the y-intercept will give you the value of f(0).
- If there is no coefficient, the y-intercept is equal to zero.
