Answer:
50 mph, 450 mi, 73.3 ft/sec
Step-by-step explanation:
Part 1:
Find the unit rate (which here is mph).
175 mi
------------- = 50 mph
3.5 hrs
Part 2:
In 8.5 hrs, the Andersons can expect to cover (50 mph)(8.5 hr) = 425 mi
Part 3:
50 mph 88 ft/sec
------------ * ----------------- = 73.33 ft/sec, or 73.3 ft/sec to the nearest tenth.
1 60 mph
Answer:
x=9
Step-by-step explanation:
To solve for x, you can set up a proportion between the 2 triangles we see.
The small triangle can be written as 
, and the large triangle can be written as 
.
Set both proportions equal to each other.
Cross multiply and solve for x.
32x+272=560
32x=288
x=9
rate of change is 1/4
Step-by-step explanation:
Answer:
(2x-1)(2x+1)(x^2+2) = 0
Step-by-step explanation:
Here's a trick: Use a temporary substitution for x^2. Let p = x^2. Then 4x^4+7x^2-2=0 becomes 4p^2 + 7p - 2 = 0.
Find p using the quadratic formula: a = 4, b = 7 and c = -2. Then the discriminant is b^2-4ac, or (7)^2-4(4)(-2), or 49+32, or 81.
Then the roots are:
-7 plus or minus √81
p= --------------------------------
8
p = 2/8 = 1/4 and p = -16/8 = -2.
Recalling that p = x^2, we let p = x^2 = 1/4, finding that x = plus or minus 1/2. We cannot do quite the same thing with the factor p= -2 because the roots would be complex.
If x = 1/2 is a root, then 2x - 1 is a factor. If x = -1/2 is a root, then 2x+1 is a factor.
Let's multiply these two factors, (2x-1) and (2x+1), together, obtaining 4x^2 - 1. Let's divide this 4x^2 - 1 into 4x^4+7x^2-2=0. We get x^2+2 as quotient.
Then, 4x^4+7x^2-2=0 in factored form, is (2x-1)(2x+1)(x^2+2) = 0.
C is your answer e cause u supposed to multiple
