1. A polynomial means it has more than one term.
a. has 4 terms
b. has 1 term (not a POLYnomial)
c. has 3 terms
d. has 2 terms
2. The first word in a polynomial description tells the degree (max amount of exponents) of the expression, and the second word tells how many terms it has.
a. This answer means it's maxed exponent is to the fourth power, which it's not. (WRONG)
b. This answer means that it has a max exponent to the third power, which is true, and it also says it has three terms, which is also true. (CORRECT)
3. You must combine like terms in this polynomial.
=> 14x^2 - 6x^2 =8x^2
=> 5x + 2x = 7x
=> -8
d. This answer combines all the terms correctly.
4. To simplify this equation, you must first distribute the negative to all of the second equation.
(4x^2 -3x+2) + (-2x^2-5x+7)
Now, combine like terms.
=>4x^2 - 2x^2 = 2x^2
=>-3x - 5x = -8x
=>2 + 7 = 9
d. This answer simplifies it correctly
Answer: B. 23 to 14
Since it asks for the ratio of dogs to cats the 14 has to go first. The other options are all different ways to write the same ratio. Hope this helps!
Don't be shy about using actual parentheses and commas.
Line through (1,8) perpendicular to
The perpendicular family is gotten by swapping the coefficients on x and y, negating exactly one of them. The constant is given directly by the point we're through:
Let's clear the fractions by multiplying both sides by 20.
Might as well stop here.
Answer: 25 x + 16 y = 153
First, solve for x. Isolate the x. Do the opposite of PEMDAS.
2x + 4 = 8
Note the equal sign. What you do to one side, you do to the other.
subtract 4 from both sides
2x + 4 (-4) = 8 (-4)
2x = 8 - 4
2x = 4
divide 2 from both sides
2x/2 = 4/2
x = 4/2
x = 2
you know you're starting number now: 2
"then add it to two": 2 + 2 = 4
"then add it to ten": 4 + 10 = 14
"then subtract three": 14 - 3 = 11
"then add ten": 11 + 10 = 21
21 is your final answer
hope this helps
Eighteen times twelve is 216... if that's what you're asking...
