Answer:
(-4,-2) and (-2, -2)
Step-by-step explanation:
Eliminate y by equating the two given equations:
y=-x^2-6x-10
y = 3x^2 + 18x + 22 = -x^2 - 6x - 10.
Next, combine like terms, obtaining: 4x^2 + 24x + 32 = 0
Simplify by dividing all terms by 4: x^2 + 6x + 8 = 0.
Factor:
x^2 + 6x + 8 = 0 => (x + 4)(x + 2) = 0.
Solve for x: x = -4 and x = -2.
Find the y-values associated with these x-values:
y = -(-4)^2 - 6(-4) - 10 = -16 + 24 - 10 = -2, so that one solution is (-4,-2)
y = -(-2)^2 - 6(-2) - 10 = -4 + 12 - 10 = -2, so that the other sol'n is (-2, -2).
Answer:
- cubic
- 3 terms
- constant: -2
- leading term: 1/4x³
- leading coefficient: 1/4
Step-by-step explanation:
The degree of each term in a polynomial is the exponent of the variable. If there are multiple variables in a term, the degree is the sum of their exponents. The degree of the polynomial is the highest of the degrees of the terms.
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The three terms of the polynomial given here have degrees of 2, 0, and 3. Since the highest degree is 3, the polynomial is 3rd-degree, or "cubic." The "leading term" is the one of highest degree, and its coefficient is the "leading coefficient." The constant term is the one with degree 0 (no variables).
"The expression represents a cubic polynomial with 3 terms. The constant is -2, the leading term is 1/4x³, and the leading coefficient is 1/4."
What we know:
Perimeter=60
Perimeter formula=2l+2w
l=2w
This perimeter has the following set up using p=60 and l=2w:
perimeter =2(l)+2w
60=2(2w)+2w
60=4w+2w
60=6w
Now that we know how many w's we need to have we can use this information to find which equations have 6 w's and which one does not.
Look at the first equation:
2(2w+w)=60 distributive power
4w+2w=60 like terms
6w=60 correct
second equation:
w+2w+w+2w=60
6w=60 like terms, correct
third equation:
2w+2x2w=60 multiplication property
2w+4w=60 like terms
6w=60 correct
fourth equation:
w+2w=60 like terms
3w=60 not correct
Fourth equation is not correct.
Point 1 (0,5) "y=mx+b", Each point you go 4 up and 1 right
Point 2 (1,9).. and so on
