You need to find points where the line g(x) intercepts the quadratic function f(x) in one and only one point.
Then 3x^2 + 4x -2 = mx - 5
solve 3x^2 + 4x - mx -2 + 5 = 0
3x^2 + (4 - m)x + 3 = 0
In order to there be only one solution (one intersection point) the radicand of the quadratic formula must be 0 =>
b^2 - 4ac = (4 - m)^2 - 4(3)(3) = 0
(4 - m)^2 = 24
4 - m = +/- √(24)
m = 4 +/- √(24) = 4 +/- 2√(6)
Then m, the slope of the line, may be 4 + 2√6 and 4 - 2√6
Answer: P=5.2 h=3 B=2
Step-by-step explanation:
To find P, you add everything except for 3 because P starts for perimeter of the bases and 3 is the height of the prism. So P would equal 5.2. Then to get h, it’s just 3 because that’s the height of the prism. Now for B, you just multiply 1x2 because that’s the area of the base and you only need one. If you’re looking for total surface area, the answer is 19.6 becasue the formula is Pxh+2B meaning perimeter x height plus 2 x B. But for lateral, the answer is 15.6 because it’s just Pxh (perimeter x height) hope this helps lol sorry it’s so long.
Answer:
4.0503
Step-by-step explanation:
Answer:
P(A or B) = 1.16
Step-by-step explanation:
Given probability:
Probability of event A = P(A) = 0.46
Probability of event B = P(B) = 0.7
P(A and B) = 0.43
Find:
P(A or B)
Computation:
If A is an incident and B is a separate event, P(A or B) is the possibility of either A, B, or both events occurring.
P(A or B) = P(A) + P(B)
P(A or B) = 0.46 + 0.7
P(A or B) = 1.16
Answer:
34.93
Step-by-step explanation:
Ok, so using the formula for a trapezoid, you would get that Jim's garden's area is equal to 135.
Since each grass bag can cover 20m of the garden,
135/20=6.75
You would need seven bags because you can't buy 6.75 bags at a store.
Since each bag of grass seed is 4.99, 7*4.99 = 34.93.
I'm doing this in dollars, so I'm assuming that one pound is 100 cents or something like that.
