Answer:
(8, -22)
Step-by-step explanation:
The tables each contain four (x,y) points of a straight line. You can see that for every increase of x by 2, y decreases by 8 in the first one (observe 26, 18, 10 2), and decreases by 6 in the second.
If you continue the table with x=4, 6 and 8, you get y=-22 in both cases for x=8. That is the intersection, so the solution is (8,-22).
Added a graph. The equations are y=10-4x and y=2-3x respectively. Hope you understand a bit of this (brief) explanation.
Answer:
B
Step-by-step explanation:
The formula for finding the relationship between a secant and a tangent is
tangent length ^2 = external segment secant/full length of secant
In this case
60^2 = 48*(x + 48) Expand
3600 = 48*(x + 48) Remove the brackets/
3600 = 48x + 48^2 Expand
3600 = 48x + 2304 Subtract 2304 from both sides
3600 - 2304 = 48x
1296 = 48x Divide both sides by 48
1296 / 48 = x
x = 27
Answer: 4:20
Step-by-step explanation:
60 lbs can be divided into three groups, in this case the bags of sand, so 60 divided by 3 is 20.
Now you have the 8 lbs left. It gets divided into two groups/bags so you would do 8 divided by 2 is 4.
Then for your ratio it is cement to sand which is 4:20. You can write the ratio however way you want or what is required by the question.(fraction bar, ‘to’, or colon ‘:’ )
Hope this helps!
Answer:
The final temperature was 9 degrees.
Step-by-step explanation:
You can first multiply 13x2, 7x2, and 9x2. Then you subtract 26 and 18 from 34. then add 14
Answer:
x > -3
Step-by-step explanation:
Domain: input values (x-values)
Monotonic increasing: always increasing.
A function is increasing when its graph rises from left to right.
The graph of a quadratic function is a parabola. If the leading term is positive, the parabola opens upwards. The domain over which the function is increasing for a parabola that opens upwards is values greater than the x-value of the vertex.
<u>Vertex</u>
Standard form of quadratic equation: 
Given function:
Therefore, x-value of function's vertex:
<u>Final Solution</u>
The function is increasing when x > -3
