9514 1404 393
Answer:
(x, y) = (-3, -13) or (-8, -23)
Step-by-step explanation:
The values for y can be equated and the resulting quadratic solved by factoring.
2x -7 = x^2 +13x +17
0 = x^2 +11x +24 . . . . . . subtract 2x-7
0 = (x +8)(x +3) . . . . . . . .factor*
The values of x that make these factors zero are x=-8 and x=-3. The corresponding values of y are ...
y = 2(-8) -7 = -23
y = 2(-3) -7 = -13
The solutions are ...
(x, y) = (-8, -23) and (-3, -13)
_____
* The constants in the binomial factors are factors of 24 that total 11. You know that ...
24 = 1×24 = 2×12 = 3×8 = 4×6
The sums of these factors are 25, 14, 11, 10. The factors 3 and 8 are the constants in the binomial factors of the quadratic.
"24" is the constant in the quadratic. "11" is the coefficient of the x term.
Answer:
A
Step-by-step explanation:
this is more of a mind game. Lots of words to throw you off. Daily a cow produces a mean of 6.2 gallons (average of 6.2 gallons, meaning they already found the mean, "averaged" it out for you) with a deviation of .7 gallons ("give or take" .7 gallons). On any given day (throw these words out) 68% of the cows (don't need this information to answer the question either, thrown in to confuse you) will produce an amount of milk within which of the following ranges? Just subtract the deviation ("give or take number") .7 gallons from the mean (average (already determined)) 6.2 gallons which is 5.5 gallons THEN add the deviation ("give or take number") .7 gallons to the mean (average (already determined)) 6.2 gallons which is 6.9 gallons. Your answer is A 5.5 gallons to 6.9 gallons. You don't even have to go crazy on the math on this question you can rule them all out but A immediately with subtracting .7 from 6.2. Mind games .... LOL sneaky.
Answer:
B
Step-by-step explanation:
Given
y² - 12y + 32
Consider the factors of the constant term (+ 32) which sum to give the coefficient of the y- term (- 12)
The factors are - 4 and - 8, since
- 4 × - 8 = 32 and - 4 - 8 = - 12, thus
y² - 12y + 32 = (y - 4)(y - 8) → B
Answer:
1/3
Step-by-step explanation:
if he has spent 2/3 of his workday selling products that is almost his whole day. He has 1/3 of his workday left so he dedicated it to making calls for his company.
So you work if you subtract 2/3 from a whole that leaves you with 1/3 of your day left
Answer:
y=2x+5
Step-by-step explanation:
y=2x+4 means that the slope is m1=2
A parallel line shall have the same slope so
m2=m1=2
Therefore, the equation of the new line will be
y=2x+q
where q is the y-intercept, that is 5 because the line must pass in (0,5), so
q=5
and
y=2x+5
