Answer:
y-3 = 4(x+2) point slope form
y = 4x+11 slope intercept form
Step-by-step explanation:
Since we have a point and a slope, we will start with point slope form
y-y1 = m(x-x1)
y-3 = 4(x--2)
y-3 = 4(x+2)
This is point slope form
Distribute
y-3 = 4x+8
Add 3 to each side
y-3+3 = 4x+8+3
y = 4x+11
slope intercept form
9514 1404 393
Answer:
Step-by-step explanation:
This sort of pattern is used in the factoring of trinomials. Typically, the top quadrant holds the product you're trying to factor. The bottom quadrant holds the sum of the factors. The factors appear on the left and right in no particular order.
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1) You're looking for factors of -24 that have a sum of -5. It can be useful to simply list the factor pairs. Since you want a negative sum, you may want to start with the most negative factors and work up from there.
-24 = (-24)(1) = (-12)(2) = (-8)(3) = (-6)(4)
The sums of these factor pairs are -23, -10, -5, -2. Obviously, the pair we're interested in is the one with a sum of -5: (-8) +(3).
So, the left- and right-quadrants are filled with -8 and 3.
Blank 1 = -8
Blank 2 = 3
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2) You are given the factors, so all you need to do is form the product and sum.
Blank 1 = (-3)(-2) = 6
Blank 2 = (-3) +(-2) = -5
_____
<em>Additional comment</em>
Any sort of factoring is much easier to do if you have memorized your multiplication tables, preferably through 12×12. It is also helpful if you're familiar with divisibility rules—at least for single-digit numbers. I've seen college students struggle trying to do factoring using a calculator. It's not pretty. Many folks learn their times tables up to 10×10 by the end of 3rd grade.
Answer:
The test results support the claim
Step-by-step explanation:
The Coca-Cola Company reported that the mean per capita annual sales of its beverages in the United States was 423 eight ounce servings (Coca-Cola Company website, February 3, 2009).
Suppose you are curious whether the consumption of Coca-Cola beverages is higher in Atlanta, Georgia, the location of Coca-Cola’s corporate headquarters.
A sample of 36 individuals from the Atlanta area showed a sample mean annual consumption of 460.4 eight ounce servings with a standard deviation of s = 101.9 ounces. Using α = .05, do the sample results support the conclusion that mean annual consumption of Coca-Cola beverage products is higher in Atlanta?
Hx: u <= 423 oz
Ha: u > 423 oz (claim)
z(460.4) = (460.4-423)/[101.9/sqrt(36)] = 2.2022
p-value = P(z > 2.2022) = 0.0138
Conclusion: Since the p-value is less than 5%
reject Hx at the 5% significance level.
The test results support the claim.
65 miles per hour meaning 65 miles in 60 minutes
65/60 = 1.083mile per minute
125/ 1.083 = 115.4 minutes to drive from san diego to malibu
check
115.4 x 1.083 = 124.97 (round up)
= 125
therefore it takes 115.4 minutes to drive from San Diego to Malibu
Answer:
96
Step-by-step explanation:
Ok so how many is in a day?
24 hours! Right!
If you does this for 4 days that's 24 × 4! Which is ..
96!
Unless there are more details its 96!
