Answer:
295 SUVs were sold, and 215 passenger vehicles.
Step-by-step explanation:
Let s and p represent the number of SUVs and p the number of passenger cars.
Then s = p + 80 and s + p = 510.
Substitute p + 80 for s in the second equation, obtaining:
p + 80 + p = 510, or:
2p = 430
Dividing both sides by 2 isolates p: p = 215.
Since s = p + 80, we add 80 to 215 here, obtaining s = 295.
295 SUVs were sold, and 215 passenger vehicles.
This is an awful question. They mean to say the number of hours practicing <em>per week</em> (we'll call it h) varies inversely with the <em>time</em> (t) she runs her event. Unless they mean to imply more practicing makes Tyler slower, in which case she should just get a pizza.
Inverse variation means the product is a constant, we'll call it k.
ht = k
When h = 1 hour t=6 minutes
(1)(6) = k
k = 6 (hour*minutes, but as long as we're consistent we don't need to sweat the unit.)
Decreasing her time by one minute means t = 6 - 1 = 5. We solve for h.
ht = k
h = k/t = 6/5 = 1.2 hours
Answer: 1.2 hours, second choice
Answer:
Theorem 10.5: If two parallel lines are cut by a transversal, then the exterior angles on the same side of the transversal are supplementary angles.
the discriminant formula is b^2-4ac
so plug the values from each equation into the formula and solve, the result is the value of the discriminant
if the number is negative, there are no real roots/x-int
if it is 0 there is one real root/x-intercepts
if it is positive it has 2 real roots/x-int
and to find the actual solutions you have to plug the values into the quadratic formula
Answer:
1/625
Step-by-step explanation:
