The range is the ouutput from inputing the input
basically
25=k²+2k+1 and 64=k²+2k+1
the values that satisfy both equations (not at the same tim) are the valuess that are the domain
solve each
25=k²+2k+1
minus 25 both sides (or recognize the perfect square trinomial, but anyway)
0=k²+2k-24
factor
0=(k+6)(k-4)
set to zero
k+6=0
k=-6
k-4=0
k=4
k=-6 or 4
64=k²+2k+1
minus 64 both sides
0=k²+2k-63
facor
0=(k-7)(k+9)
set to zer
k-7=0
k=7
k+9=0
k=-9
k=-9 or 7
so the domain has the numbers
-9,-6,4,7
it seems we only want the positive square roots so
answer is {4,7} is the domain
When a linear equation is in the form y = mx + c, the c, or constant, is the intercept on the y axis, meaning it crosses the y axis at (0, 1).
The gradient (1/3 in this case) is how much the y increments (or decrements) per increase of 1 of the value of x.
This would mean that there would be one point at (0, 1), and another at (3, 2). Draw a line from these two points and beyond, and that is the graph sketched.
Answer:
I think 4 x 3.2/5 is higher or greater because the values which it is multiplying a very high and the value at which 3 ×4.2/ 5 is very low compared to the first value
Step-by-step explanation:
hope it helps please mark me brainliest answer
Answer:
2√3
Step-by-step explanation:
In a special right triangle called the 30-60-90 triangle, the ratios of the side lengths are x-x√3- 2x respectively. This means that the side opposite to the 60 degrees is x√3 and the side opposite to the 30 degrees is x.
Since the side opposite to the 60 degrees is 6, x√3=6
x√3=6
x=6/√3
rationalize the denominator:
6√3/3
simlify
2√3
so the answer is the third one. 2√3
7-c _< -3 put the line under the symbol