Remember you can do anything as long as you do it to both sides
add 7 to both sides
x>5
the solution set could look like
x>5
or
S={x|x>5} or
(5,∞)
Answer:
The x-intercept is (-2,0)
The y-intercept is (0,3)
Step-by-step explanation:
An x-intercept is the point when the graph crosses the x-axis. In other words, the y-coordinate of the x-intercept is 0 (since it lays on the x-axis). In other words, to solve for the x-intercept(s), plug in 0 for y and solve for x:
So, the x-intercept is (-2,0).
Likewise, the y-intercept is the point when the graph crosses the y-axis. Because it's on the y-axis, the x-coordinate value would be 0. Thus, to find the y-intercept, plug in 0 for x and solve for y:
Thus, the y-intercept is (0,3).
Let the second car meets the first car after n hours.
Second car starts with 8km/h, After succeeding hours his speed increases by 0.5 km.
So, Distance travelled by second car = 8 + 8.5 + 9
..... 8+(n-1) 0.5.....(1)
eqn. (1) sum of n terms Of A.P with first term 8
and common difference 0.5.
Sum of all the terms in equation 1 is also equals to the distance travelled by the first car for n hours, i.e. 10n km .
Now, we have (n/2) {16+(n-1) 0.5} = 10n........(2)
From equation (2) we get, n= 9
Hence, Both the cars will meet after 9 hours.
Hope it helps!
Answer:
Ashley's house is 12.1 miles away from Bridgette's house
Ashley's house is 10.2 miles away from Carly's house
Ashley's house is closer to Carly's house by 1.9 miles
Explanation:
Use the distance formula to calculate the distance between points
Answer:
3.) (x + 5) (x - 6)
Step-by-step explanation:
Factor the following:
x^2 - x - 30
Hint: | Factor x^2 - x - 30 by finding two numbers whose product is -30 and whose sum is -1.
The factors of -30 that sum to -1 are 5 and -6. So, x^2 - x - 30 = (x + 5) (x - 6):
Answer: (x + 5) (x - 6)
